Index terms: Open channel, velocity, depth.
|
|
- Dylan Copeland
- 8 years ago
- Views:
Transcription
1 ISO 9001:008 Certfed Internatonal Journal of Engneerng Scence and Innovatve Technolog (IJESIT) olume 3 Issue 5 September 014 Mathematcal Model of the flud flow n Crcular Cross-sectonal Open Channels.N. Oambo M. N. Knanu D. M. Theur P. R. Kogora K. Gterere bstract: Open channel flow nvolves the flow of a flud n a channel or condut that s not completel flled. Ths stud eamnes a non-unform and unstead open channel flow wth crcular cross-sectonal area that runs partl flled. The flow varables are veloct and depth whle the flow parameters are cross-sectonal area of the channel channel radus slope of the channel and lateral nflow rate per unt length of the channel. Effects of cross sectonal area of the channel on the flow veloct the effects of channel radus slope of the channel and lateral nflow rate per unt length of the channel on the flow veloct are nvestgated. Ths s done b varng one parameter whle holdng the other parameters constant. The stud further nvestgates the mamum flow depth. The momentum and the contnut equatons are the governng equatons of ths flow. The momentum equaton s epanded usng the unstead state of the contnut equaton. Fnte dfference appromaton method has been used to solve the governng equatons due to ts accurac stablt and convergence characterstcs. The results have been graphcall presented. It s establshed that ncrease n the cross-sectonal area leads to decrease n the flow veloct an ncrease n the radus of the channel leads to decrease n the flow veloct an ncrease n the roughness coeffcent leads to decrease n the flow veloct an ncrease n the flow depth leads to decrease n the flow veloct and a decrease n the lateral nflow rate per unt length of the channel leads to an ncrease n the flow veloct. Inde terms: Open channel veloct depth. I. INTRODUCTION Man researchers have ventured to stud open channel flows but few concentrated on the crcular channel flows because of ther dffcult n constructon. Crcular channel flows ncrease the flow veloct due to the mnmum wetted permeter that the have. Chow [1] studed Open Channel flows and developed man relatonshps such as veloct formula for open channel flow. He s also one of the poneers n the defnton of the geometrc elements of an open channel flow. The predcton of the one-dmensonal flow characterstcs (e.g. free surface profle and local dstrbuton of dscharge) s based upon the dnamcal flow equaton. pplcaton of the longtudnal momentum theorem elds a generalzed backwater relaton as etended b Yen and Wenzel []. The dnamcal flow equaton must be completed b the lateral outflow law and epressons relatng to the momentum correcton coeffcent the lateral outflow veloct component n the longtudnal drecton and the frcton slope. The usual approach assumes a unform veloct dstrbuton and s based on the energ equaton n whch losses are accounted for b Mannng's formula. Strelkoff [3] and Yen [4] derved the energ equaton from ntegraton of Naver stokes equatons. The clearl demonstrated that the losses of the mechancal energ are due to the work done b the nternal stresses to overcome veloct gradent. Snha et al. [5] nvestgated the development of the lamnar flow of a vscous ncompressble flud from the entr of a straght crcular ppe. It was observed that the veloct ncreases more rapdl durng the ntal development of the flow n comparson to the downstream flow. It was observed that durng the ntal stages of the development of the flow the rate of ncrease n stream wse veloct s larger and consequentl the pressure drop s larger n comparson wth ther values further downstream. Ths s because the retarded flud partcles n the boundar laer are pushed towards the core more rapdl near the entr where the boundar laer s thnner as compared to the downstream regon. The nfluence of lateral mass flu on free convecton flow past a vertcal flat plate embedded n a saturated porous medum was studed b Mansour et al. [6].Hager [7] studed the lateral outflow mechansm of sde wers usng a one-dmensonal approach. In partcular the effects of flow depth approachng veloct lateral outflow drecton and sde wer channel shape were ncluded resultng n epressons for the lateral outflow angle and the lateral dscharge ntenst. For vanshng channel veloct the conventonal wer formula for plane flow condtons was reproduced. However for ncreasng local Froude number the lateral outflow ntenst decreases under otherwse fed flow parameters. comparson of the theoretcall determned soluton wth observatons ndcated a far agreement. The results were then appled to open channel bfurcatons b consderng a sde-wer of zero wer heght. Dstncton between sub- and supercrtcal flow condtons s made. gan the computed 335
2 ISO 9001:008 Certfed Internatonal Journal of Engneerng Scence and Innovatve Technolog (IJESIT) olume 3 Issue 5 September 014 results compare well wth the observatons and allow a smple predcton of all pertnent flow characterstcs. Crossle [8] nvestgated the strateges developed for the Euler s equatons for applcaton to the Sant enant equatons of open channel flow n order to reduce run tmes and mprove the qualt of solutons n the regons dscontnutes. Nallur et al. [9] analzed epermental date on resstance to flow n smooth channels of crcular cross secton. The results of the tests showed that the measured frcton factors are larger than those for a ppe of equvalent dameter (D- 4R). Through the analss of the data for the range of flow depths 0 < < 0.85d the geometrc parameter /P was found more appropratel representng the shape effects on resstance to flow n crcular channels than usng a sngle parameter lke the hdraulc mean radus R. Carlos and Santos [10] consdered an adont formulaton for the non-lnear potental flow equaton. Tutoek and Hcks [11] modeled unstead flow n compound channels wth an am of controllng floods. Kwanza et al. [1] analzed the effects of the channel wdth slope of the channel and lateral dscharge on flud veloct and channel dscharge for both rectangular and trapezodal channels. The noted that the dscharge ncreases as the specfed parameters are vared upwards. han [13] set up Neutralzed Based Fuzz Reference Sstem (NFIS) for predcton of frcton coeffcent n open channel flows n whch Renold s number veloct and dscharge are used as nputs to determne frcton coeffcent of an open channel flow. It was shown that when provded wth correct and suffcent samples NFIS model can be used to predct the non-lnear relatonshp between frcton coeffcent and the factors whch affect t. It was concluded that n practce NFIS model can be used as a sutable and effectve method and general hdraulc problems whch are mostl based on laborator tests can be analzed wth NFIS model. M.N. Knanu et al. [14] nvestgated on modelng flud flow n open channel wth crcular cross-secton. Ths stud consdered unstead non-unform open channel flow n a closed condut wth crcular cross-secton. The man obectves were to nvestgate the effects of the flow depth the cross secton area of flow channel radus slope of the channel roughness coeffcent and energ coeffcent on the flow veloct as well as the depth at whch flow veloct s mamum. The obtaned Sant-enant partal dfferental equatons of contnut and momentum governng free surface flow n open channels are nonlnear and therefore do not have analtcal solutons. The Fnte Dfference ppromaton method s used to solve these equatons because of ts accurac stablt and convergence. Patel [15] descrbed a hdraulc model testng of varous mportant structures of open channel as well as rver flow wth analtcal soluton of the flow dstrbuton along the open channel. The stud consdered dfferent roughness constant and dfferent flow rate to eamne the flow pattern n an open channel. The research enabled the predcton of the veloct profle of open channel flow that would be applcable for a wde range of Renolds number b changng the dscharge flow rate. Governng equatons II. MTHEMTICL NLYSIS The Contnut and the Momentum or the energ equatons ma be used to analze open channel flow. Ecept for the momentum coeffcent and the energ coeffcent the Momentum and energ equatons are equvalent; Cunge et al. [16] provded that the flow depth and veloct are contnuous.e. there are no dscontnutes along the channel flow. However the Momentum should be used f there are no dscontnutes snce unlke the energ equaton t s not necessar to know the amount of losses n the dscontnutes n the applcaton of momentum equaton. Ths stud consders the Contnut and Momentum equatons wth veloct and flow depth as the two flow varables. The statement of the problem s a crcular condut that runs partl flled at certan tmes. The governng equatons dscussed heren are borrowed from conservaton of mass and momentum prncple gven b Yen [4]; The cross-sectonal area s taken from the volume element shown below where the dsplacement s n the man flow drecton() gven b where the flow flud enters from volume element at secton U at a mass transfer rate of and leaves at secton D at a mass transfer rate of. 336
3 ISO 9001:008 Certfed Internatonal Journal of Engneerng Scence and Innovatve Technolog (IJESIT) olume 3 Issue 5 September In ths stud the flow s unstead and non-unform. From M.N. Knanu et al. [14] the contnut equaton s gven b q t Q (1) whch s epanded to 0 T q T t () The momentum equaton s gven b Yen 1973 [4]; 0 0 S f g S g Q t Q (3) The cross-sectonal area of ths stud s a unform crcular cross-secton thus the value of momentum coeffcent s equal to one. Replacng the contnut equaton for unstead flow the momentum equaton becomes: 0 0 f S S g g t q (4) The soluton procedure The governng equatons; equaton () and (4) are solved usng a dffusng fnte dfference scheme as proposed b essman et al.[17].these equatons are gven as: T q h T h k (5) R n S g h g h k q (6) subect to the ntal condtons 0 > all (0)= 4.5for = 0 t) (0 and boundar condtons Fg 1: olume element
4 ISO 9001:008 Certfed Internatonal Journal of Engneerng Scence and Innovatve Technolog (IJESIT) (0t) = 0(0)= 4.5for all olume 3 Issue 5 September 014 t > 0. III. RESULTS ND DISCUSSION The values for veloct aganst those of the depth were plotted gvng the curve n fgure below. Furthermore b varng the specfed parameters the curves fgures 3 to 6 were obtaned. Fg : eloct profle versus depth Fg 3: eloct profles for varng and S. 338
5 ISO 9001:008 Certfed Internatonal Journal of Engneerng Scence and Innovatve Technolog (IJESIT) olume 3 Issue 5 September 014 Fg 4: eloct profle for varng r and n Fg 5: eloct profles for varng q. 339
6 ISO 9001:008 Certfed Internatonal Journal of Engneerng Scence and Innovatve Technolog (IJESIT) olume 3 Issue 5 September 014 Fg 6: eloct profles for varng depth Fgure shows that veloct ncreases wth ncrease n depth. The free surface occurs at a depth of 4.5m and the veloct of the flud at ths depth s 10m/s. It s also observed that the mamum veloct occurs at a depth of 3.5m and begns to decrease n veloct as t approaches the free surface. The flow veloct n a channel vares from one pont to another as a result of shear stress at the bottom and the sdes of the channel. The free surface does not ehbt mamum veloct due to surface tenson caused b strong cohesve forces among the lqud molecules. Each lqud molecule s pulled equall n ever drecton b neghborng lqud molecules resultng nto a conservatve net force. t the free surface occurs a gaseous-lqud nterface whereb the lqud molecules are attracted nwards to other lqud molecules rather than outward to the gaseous molecules. Ths creates nternal pressure among the lqud molecules that forces the lqud surface to contract leadng to a reducton n veloct at the free stream. Mllons of collsons take place between the atmosphere and lqud molecules. s a result the atmospherc pressure eerts some surface force on the water surface and gravt creates nternal pressure that causes contracton of the lqud surface resultng to reduced veloctes. Furthermore the wnd blowng over the free surface also affects the veloct due to frctonal resstance partcularl when wnd blows over the free surface at hgh veloctes and n the opposte drecton to the man flow drecton. Fgure 3 shows that ncrease n the slope from 0.0 to leads to ncrease n the flow veloct.e. from Curve I to Curve III. It also shows that ncrease n the cross-sectonal area from to leads to decrease n the flow veloct.e. Curve I to Curve II. Increase n the slope causes the center of gravt to move up causng nstablt n the water molecules. The drect relatonshp of the flow s show n equaton.11 where an ncrease n slope causes an ncrease n the flow veloct. Increase n the cross-sectonal area of flow leads to ncrease n the wetted permeter that leads to ncrease n the shear stress between the sdes and bottom of the channel wth the flud partcles whch results to decrease n the flow veloct. 340
7 ISO 9001:008 Certfed Internatonal Journal of Engneerng Scence and Innovatve Technolog (IJESIT) olume 3 Issue 5 September 014 Fgure 4 shows that an ncrease n the radus of the channel from 8.5m to 18.5m leads to a decrease n the flow veloct.e. from Curve I and Curve II. It also shows that an ncrease n the roughness coeffcent from 0.09 to 0.9 leads to a decrease n the flow veloct. n ncrease n the radus of the channel results to an ncrease n the wetted permeter as a result of the flud spreadng more n the condut leadng to a larger cross-sectonal area. large wetted permeter results to large shear stresses at the sdes and bottom of the channel leadng to reducton n veloct. n ncrease n the roughness coeffcent results to large shear stress at the sdes of the channel. Ths means that the moton of the flud partcles at or near the surface of the condut wll be reduced. The veloct of the neghborng molecules wll also be lowered due to constant bombardment wth the flow movng molecules leadng to an overall reducton to the flow veloct. Fgure 5 shows that a decrease n the lateral nflow rate per unt length of the channel from 0.04 to leads to an ncrease n the channel veloct.e. from Curve I to Curve II. n ncrease n the lateral nflow rate per unt length of the channel means an ncrease n the amount of flow per unt tme. Ths leads to ncrease n the crosssectonal area of whch leads to ncrease n the wetted permeter that ncreases the shear stress between the sdes and bottom of the channel wth the flud partcles leadng to decrease n the flow veloct. Fgure 6 shows that an ncrease n the channel depth from 4.5m to 5.5m to 6.5m.e. Curve I to Curve II to Curve III leads to a decrease n the channel veloct. n ncrease n the flow depth leads to ncrease n the wetted permeter whch results to ncrease n the shear stresses at the sdes of the channel that results to decrease n the flow veloct. I. CONCLUSION crcular channel flow has been developed wth the resultng partal dfferental equatons solved to obtan the veloct profles usng the veloct and depth as the flow varables. There s a reasonable agreement between the results of our model and those publshed b dfferent authors. Ths proves the fdelt of our equatons and the numercal scheme used. CKNOWLEDGEMENT The authors gratefull acknowledge the support of Pure and ppled Mathematcs department of Jomo Kenatta Unverst of grculture and Technolog Mr. P.R. Kogora and Dr. Kang ethe for ther techncal assstance. : Cross-sectonal area (m ) P: Wetted Permeter (m) : Mannng roughness coeffcent (sm -1/3 ) Q: Dscharge (m 3 s -1 ) T: Top wdth NOMENCLTURE : Lateral nflow rate per unt length of the channel (m s -1 ) R: Hdraulc radus (m) S f : Frctonal slope S o : Longtudnal slope of the channel : Tme(s) : eloct of flow : Depth of flow 341
8 : Man flow drecton ISSN: ISO 9001:008 Certfed Internatonal Journal of Engneerng Scence and Innovatve Technolog (IJESIT) : Momentum coeffcent α: Energ coeffcent olume 3 Issue 5 September 014 REFERENCES [1] Chow. T. Open Channel hdraulcs. McGraw Hll Book Compan. New York: pp1-40 (1959). [] Yen B. C and Wenzel H. G. "Dnamc Equatons for Stead Spatall ared Flow" Journal of the Hdraulcs Dvson SCE ol.96 No. 3 pp (1970). [3] Strelkoff T. One-dmensonal equatons of open-channel flow Journal of the Hdraulcs Dvson SCE ol. 95(HY3) pp (1969). [4] Yen B. C. Open-channel flow equatons revsted Journal of the Engneerng Mechancs Dvson SCE ol. 99(EM5) pp (1973). [5] Snha P.C. and Meena ggarwal Entr flow n a straght crcular ppe Journal of ustralan Mathematcs (Seres BG) pp59-66 (198). [6] Mansour M.. Hassanen J. ND Baker Y. The nfluence of lateral mass flu on free convecton flow past a vertcal flat plate embedded n a saturated porous medum Indan Journal of Pure ppl. Math. ol. 1(3) pp (1990). [7] Hager. H. and olkert P. U. "Dstrbuton Channels" Journal of Hdraulc Engneerng SCEol.11 No. 10 pp (1986). [8] Crossle manda Jane ccurate and effcent numercal solutons for the Sant enant equatons of open channel flow Ph.D thess Unverst of Nottngham Unted Kngdom (1999). [9] Nallur C. and depou B.. Shape effects on resstance to flow n smooth channels of crcular cross secton. Journal of Hdraulc Research ol. 3. Issue 1 Januar pp (1985). [10] Carlos L. and Santos C. n adont for the non-lnear potental flow equaton ppl. Math. Comp.ol. 108 pp11-1 (000). [11] Tutoek D.K. and Hcks F.E. Modelng of unstead flow n compound channels frcan Journal Cvl Engneerng ol.4 pp (001). [1] Kwanza J.K.Knanu M. and Nkoro J.M. Modelng flud flow n rectangular and trapezodal open channels. dvances and pplcatons n Flud Mechancs ol. pp (007). [13] han Samandar Neutralzed Based Fuzz Reference Sstem (NFIS) for predcton of frcton coeffcent n open channel flows cademc ournals Scentfc Research and Essas ol.6(5) pp (010). [14] MM Knanu DP Tsombe JK Kwanza K Gterere Modelng Flud Flow n Open Channel wth Crcular Crosssecton Journal of grculture Scence and Technolog ol.13 No. (011). [15] Kaushal Patel Mathematcal model of open channel flow for estmatng veloct dstrbuton through dfferent surface roughness and dscharge Internatonal Journal of dvanced Engneerng Technolog IJET ol. III Issue I Januar-March pp 5-53 (01) [16] Cune J.. Holl F.M. Jr and erwe. Practcal aspects of rver computatonal hdraulcs Ptman London. (1980). [17] essman W Jr. Knapp J.W. Lews G. L. and Harbaugh T.E. Introducton to hdrolog Second edton Harper and Row New York pp (197). 34
9 ISO 9001:008 Certfed Internatonal Journal of Engneerng Scence and Innovatve Technolog (IJESIT) olume 3 Issue 5 September 014 UTHOR BIOGRPHY Mss. ona Nakhulo Oambo obtaned her BSc. n ppled Mathematcs and Computer Scence from Jomo Kenatta Unverst of grculture and Technolog (JKUT) Kena n 011. Presentl she s workng as an dunct Teachng ssstant at JKUT. She s a MSc. student n the same unverst. Her area of research s Channel Flows. Professor Mathew Ngug Knanu Obtaned hs MSc. In ppled Mathematcs from Kenatta Unverst Kena n 1989 and a PhD n ppled Mathematcs from Jomo Kenatta Unverst of grculture and Technolog (JKUT) Kena n Presentl he s workng as a professor of Mathematcs at JKUT where s also the drector of Post Graduate Studes. He has Publshed over Fft papers n nternatonal Journals. He has also guded man students n Masters and PhD courses. Hs Research area s n MHD and Flud Dnamcs. Dr. Davd Mwang Theur Obtaned hs MSc. In ppled Mathematcs from Kenatta Unverst Kena n 1990 and a PhD n ppled Mathematcs from Jomo Kenatta Unverst of grculture and Technolog (JKUT) Kena n 001. Presentl he the Charperson of the Department of Pure and ppled Mathematcs at JKUT. He has Publshed over ten papers n nternatonal Journals. He has also guded man students n Masters and PhD courses. Hs Research area s n MHD and Flud Dnamcs. Mr. Phneas Ro Kogora obtaned hs MSc. n ppled Mathematcs from Jomo Kenatta Unverst of grculture and Technolog (JKUT) Kena n 007. Presentl he s workng as an ssstant Lecturer at JKUT. He s a PhD student n the same unverst. Hs area of research s Hdrodnamc Lubrcaton. Dr. Kang ethe Gterere obtaned hs MSc. In ppled Mathematcs from Jomo Kenatta Unverst of grculture and Technolog (JKUT) Kena n 007 and a PhD n ppled Mathematcs from the same unverst n 01. Presentl he s workng as a Lecturer at JKUT. He has publshed s papers n nternatonal ournals and guded man students n Masters courses. Hs area of research s MHD and Flud Dnamcs. 343
Damage detection in composite laminates using coin-tap method
Damage detecton n composte lamnates usng con-tap method S.J. Km Korea Aerospace Research Insttute, 45 Eoeun-Dong, Youseong-Gu, 35-333 Daejeon, Republc of Korea yaeln@kar.re.kr 45 The con-tap test has the
More informationRecurrence. 1 Definitions and main statements
Recurrence 1 Defntons and man statements Let X n, n = 0, 1, 2,... be a MC wth the state space S = (1, 2,...), transton probabltes p j = P {X n+1 = j X n = }, and the transton matrx P = (p j ),j S def.
More informationIMPACT ANALYSIS OF A CELLULAR PHONE
4 th ASA & μeta Internatonal Conference IMPACT AALYSIS OF A CELLULAR PHOE We Lu, 2 Hongy L Bejng FEAonlne Engneerng Co.,Ltd. Bejng, Chna ABSTRACT Drop test smulaton plays an mportant role n nvestgatng
More informationbenefit is 2, paid if the policyholder dies within the year, and probability of death within the year is ).
REVIEW OF RISK MANAGEMENT CONCEPTS LOSS DISTRIBUTIONS AND INSURANCE Loss and nsurance: When someone s subject to the rsk of ncurrng a fnancal loss, the loss s generally modeled usng a random varable or
More information"Research Note" APPLICATION OF CHARGE SIMULATION METHOD TO ELECTRIC FIELD CALCULATION IN THE POWER CABLES *
Iranan Journal of Scence & Technology, Transacton B, Engneerng, ol. 30, No. B6, 789-794 rnted n The Islamc Republc of Iran, 006 Shraz Unversty "Research Note" ALICATION OF CHARGE SIMULATION METHOD TO ELECTRIC
More information7.5. Present Value of an Annuity. Investigate
7.5 Present Value of an Annuty Owen and Anna are approachng retrement and are puttng ther fnances n order. They have worked hard and nvested ther earnngs so that they now have a large amount of money on
More informationCalculating the high frequency transmission line parameters of power cables
< ' Calculatng the hgh frequency transmsson lne parameters of power cables Authors: Dr. John Dcknson, Laboratory Servces Manager, N 0 RW E B Communcatons Mr. Peter J. Ncholson, Project Assgnment Manager,
More informationRisk-based Fatigue Estimate of Deep Water Risers -- Course Project for EM388F: Fracture Mechanics, Spring 2008
Rsk-based Fatgue Estmate of Deep Water Rsers -- Course Project for EM388F: Fracture Mechancs, Sprng 2008 Chen Sh Department of Cvl, Archtectural, and Envronmental Engneerng The Unversty of Texas at Austn
More informationA frequency decomposition time domain model of broadband frequency-dependent absorption: Model II
A frequenc decomposton tme doman model of broadband frequenc-dependent absorpton: Model II W. Chen Smula Research Laborator, P. O. Box. 134, 135 Lsaker, Norwa (1 Aprl ) (Proect collaborators: A. Bounam,
More informationMathematical modeling of water quality in river systems. Case study: Jajrood river in Tehran - Iran
European Water 7/8: 3-, 009. 009 E.W. Publcatons Mathematcal modelng of water qualty n rver systems. Case study: Jajrood rver n Tehran - Iran S.A. Mrbagher, M. Abaspour and K.H. Zaman 3 Department of Cvl
More informationInstitute of Informatics, Faculty of Business and Management, Brno University of Technology,Czech Republic
Lagrange Multplers as Quanttatve Indcators n Economcs Ivan Mezník Insttute of Informatcs, Faculty of Busness and Management, Brno Unversty of TechnologCzech Republc Abstract The quanttatve role of Lagrange
More informationSharp-Crested Weir Discharge Coefficient
2011, Scencelne Publcaton Journal of Cvl Engneerng and Urbansm Volume 3, Issue 3: 87-91 (2013) (Receved: December 13, 2012; Accepted: May 7, 2013; Publshed: May 30, 2013) ISSN-2252-0430 Sharp-Crested Wer
More informationSupport Vector Machines
Support Vector Machnes Max Wellng Department of Computer Scence Unversty of Toronto 10 Kng s College Road Toronto, M5S 3G5 Canada wellng@cs.toronto.edu Abstract Ths s a note to explan support vector machnes.
More informationAir Quality Monitoring Using Model: A Review
Internatonal Journal of Scence and Research (IJSR), Inda Onlne ISSN: 39-7064 Ar ualt Montorng Usng Model: A Revew Ukagwe, Sandra A., Osoka, Emmanuel C., Department of Chemcal Engneerng, Federal Unverst
More informationEffect of a spectrum of relaxation times on the capillary thinning of a filament of elastic liquid
J. Non-Newtonan Flud Mech., 72 (1997) 31 53 Effect of a spectrum of relaxaton tmes on the capllary thnnng of a flament of elastc lqud V.M. Entov a, E.J. Hnch b, * a Laboratory of Appled Contnuum Mechancs,
More informationActuator forces in CFD: RANS and LES modeling in OpenFOAM
Home Search Collectons Journals About Contact us My IOPscence Actuator forces n CFD: RANS and LES modelng n OpenFOAM Ths content has been downloaded from IOPscence. Please scroll down to see the full text.
More informationThe OC Curve of Attribute Acceptance Plans
The OC Curve of Attrbute Acceptance Plans The Operatng Characterstc (OC) curve descrbes the probablty of acceptng a lot as a functon of the lot s qualty. Fgure 1 shows a typcal OC Curve. 10 8 6 4 1 3 4
More informationAnswer: A). There is a flatter IS curve in the high MPC economy. Original LM LM after increase in M. IS curve for low MPC economy
4.02 Quz Solutons Fall 2004 Multple-Choce Questons (30/00 ponts) Please, crcle the correct answer for each of the followng 0 multple-choce questons. For each queston, only one of the answers s correct.
More informationNUMERICAL SIMULATION OF FORCED CONVECTION IN OIL SANDS USING LATTICE BOLTZMANN METHOD
Internatonal Journal of Mechancal Enneern and Technoloy (IJMET) Volume 7, Issue, Jan-Feb, pp. 78-89, Artcle ID: IJMET_7 9 Avalable onlne at http://www.aeme.com/ijmet/ssues.asp?jtype=ijmet&vtype=7&itype=
More informationFaraday's Law of Induction
Introducton Faraday's Law o Inducton In ths lab, you wll study Faraday's Law o nducton usng a wand wth col whch swngs through a magnetc eld. You wll also examne converson o mechanc energy nto electrc energy
More information1. Measuring association using correlation and regression
How to measure assocaton I: Correlaton. 1. Measurng assocaton usng correlaton and regresson We often would lke to know how one varable, such as a mother's weght, s related to another varable, such as a
More information8.5 UNITARY AND HERMITIAN MATRICES. The conjugate transpose of a complex matrix A, denoted by A*, is given by
6 CHAPTER 8 COMPLEX VECTOR SPACES 5. Fnd the kernel of the lnear transformaton gven n Exercse 5. In Exercses 55 and 56, fnd the mage of v, for the ndcated composton, where and are gven by the followng
More informationSIMULATION OF THERMAL AND CHEMICAL RELAXATION IN A POST-DISCHARGE AIR CORONA REACTOR
XVIII Internatonal Conference on Gas Dscharges and Ther Applcatons (GD 2010) Grefswald - Germany SIMULATION OF THERMAL AND CHEMICAL RELAXATION IN A POST-DISCHARGE AIR CORONA REACTOR M. Mezane, J.P. Sarrette,
More informationOn the Use of Neural Network as a Universal Approximator
Internatonal Journal of Scences and Technques of Automatc control & computer engneerng IJ-STA, Volume, N, Jul 8, pp 386 399 On the Use of Neural Network as a Unversal Appromator Amel SIFAOUI, Afef ABDELKRIM,
More informationA Novel Methodology of Working Capital Management for Large. Public Constructions by Using Fuzzy S-curve Regression
Novel Methodology of Workng Captal Management for Large Publc Constructons by Usng Fuzzy S-curve Regresson Cheng-Wu Chen, Morrs H. L. Wang and Tng-Ya Hseh Department of Cvl Engneerng, Natonal Central Unversty,
More informationFinancial Mathemetics
Fnancal Mathemetcs 15 Mathematcs Grade 12 Teacher Gude Fnancal Maths Seres Overvew In ths seres we am to show how Mathematcs can be used to support personal fnancal decsons. In ths seres we jon Tebogo,
More informationOn the Optimal Control of a Cascade of Hydro-Electric Power Stations
On the Optmal Control of a Cascade of Hydro-Electrc Power Statons M.C.M. Guedes a, A.F. Rbero a, G.V. Smrnov b and S. Vlela c a Department of Mathematcs, School of Scences, Unversty of Porto, Portugal;
More informationSETTLEMENT PREDICTION OF PILE-SUPPORTED STRUCTURES IN LIQUEFIABLE SOILS DURING EARTHQUAKE
SETTLEMENT PREDICTION OF PILE-SUPPORTED STRUCTURES IN LIQUEFIABLE SOILS DURING EARTHQUAKE Chandra Dev Raman 1, Subhamoy Bhattacharya 2 and A Blakeborough 3 1 Research Scholar, Department of Engneerng Scence,Unversty
More informationModelling of Hot Water Flooding
Unversty of Readng Modellng of Hot Water Floodng as an Enhanced Ol Recovery Method by Zenab Zargar August 013 Department of Mathematcs Submtted to the Department of Mathematcs, Unversty of Readng, n Partal
More information21 Vectors: The Cross Product & Torque
21 Vectors: The Cross Product & Torque Do not use our left hand when applng ether the rght-hand rule for the cross product of two vectors dscussed n ths chapter or the rght-hand rule for somethng curl
More informationBERNSTEIN POLYNOMIALS
On-Lne Geometrc Modelng Notes BERNSTEIN POLYNOMIALS Kenneth I. Joy Vsualzaton and Graphcs Research Group Department of Computer Scence Unversty of Calforna, Davs Overvew Polynomals are ncredbly useful
More informationCHAPTER 5 RELATIONSHIPS BETWEEN QUANTITATIVE VARIABLES
CHAPTER 5 RELATIONSHIPS BETWEEN QUANTITATIVE VARIABLES In ths chapter, we wll learn how to descrbe the relatonshp between two quanttatve varables. Remember (from Chapter 2) that the terms quanttatve varable
More informationTHE DISTRIBUTION OF LOAN PORTFOLIO VALUE * Oldrich Alfons Vasicek
HE DISRIBUION OF LOAN PORFOLIO VALUE * Oldrch Alfons Vascek he amount of captal necessary to support a portfolo of debt securtes depends on the probablty dstrbuton of the portfolo loss. Consder a portfolo
More informationANALYZING THE RELATIONSHIPS BETWEEN QUALITY, TIME, AND COST IN PROJECT MANAGEMENT DECISION MAKING
ANALYZING THE RELATIONSHIPS BETWEEN QUALITY, TIME, AND COST IN PROJECT MANAGEMENT DECISION MAKING Matthew J. Lberatore, Department of Management and Operatons, Vllanova Unversty, Vllanova, PA 19085, 610-519-4390,
More informationModule 2 LOSSLESS IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur
Module LOSSLESS IMAGE COMPRESSION SYSTEMS Lesson 3 Lossless Compresson: Huffman Codng Instructonal Objectves At the end of ths lesson, the students should be able to:. Defne and measure source entropy..
More informationCausal, Explanatory Forecasting. Analysis. Regression Analysis. Simple Linear Regression. Which is Independent? Forecasting
Causal, Explanatory Forecastng Assumes cause-and-effect relatonshp between system nputs and ts output Forecastng wth Regresson Analyss Rchard S. Barr Inputs System Cause + Effect Relatonshp The job of
More informationThe Application of Fractional Brownian Motion in Option Pricing
Vol. 0, No. (05), pp. 73-8 http://dx.do.org/0.457/jmue.05.0..6 The Applcaton of Fractonal Brownan Moton n Opton Prcng Qng-xn Zhou School of Basc Scence,arbn Unversty of Commerce,arbn zhouqngxn98@6.com
More informationSprayExpo 2.0. Program description. SprayExpo has been developed by
SpraExpo.0 Program descrpton SpraExpo has been developed b Fraunhofer Insttut für Toxkologe und Expermentelle Medzn Nkola-Fuchs-Straße 1 D-3065 Hannover on behalf of the Bundesanstalt für Arbetsschutz
More informationThe use of CFD modelling to optimise measurement of overflow rates in a downstream-controlled dualoverflow
NOVATECH 2010 The use of CFD modellng to optmse measurement of overflow rates n a downstream-controlled dualoverflow structure Modélsaton 3D d une sére de déversors sous nfluence aval en vue d amélorer
More informationThe Development of Web Log Mining Based on Improve-K-Means Clustering Analysis
The Development of Web Log Mnng Based on Improve-K-Means Clusterng Analyss TngZhong Wang * College of Informaton Technology, Luoyang Normal Unversty, Luoyang, 471022, Chna wangtngzhong2@sna.cn Abstract.
More informationA hybrid global optimization algorithm based on parallel chaos optimization and outlook algorithm
Avalable onlne www.ocpr.com Journal of Chemcal and Pharmaceutcal Research, 2014, 6(7):1884-1889 Research Artcle ISSN : 0975-7384 CODEN(USA) : JCPRC5 A hybrd global optmzaton algorthm based on parallel
More informationA DATA MINING APPLICATION IN A STUDENT DATABASE
JOURNAL OF AERONAUTICS AND SPACE TECHNOLOGIES JULY 005 VOLUME NUMBER (53-57) A DATA MINING APPLICATION IN A STUDENT DATABASE Şenol Zafer ERDOĞAN Maltepe Ünversty Faculty of Engneerng Büyükbakkalköy-Istanbul
More informationSPEE Recommended Evaluation Practice #6 Definition of Decline Curve Parameters Background:
SPEE Recommended Evaluaton Practce #6 efnton of eclne Curve Parameters Background: The producton hstores of ol and gas wells can be analyzed to estmate reserves and future ol and gas producton rates and
More informationLinear Circuits Analysis. Superposition, Thevenin /Norton Equivalent circuits
Lnear Crcuts Analyss. Superposton, Theenn /Norton Equalent crcuts So far we hae explored tmendependent (resste) elements that are also lnear. A tmendependent elements s one for whch we can plot an / cure.
More informationAn Alternative Way to Measure Private Equity Performance
An Alternatve Way to Measure Prvate Equty Performance Peter Todd Parlux Investment Technology LLC Summary Internal Rate of Return (IRR) s probably the most common way to measure the performance of prvate
More informationAn Evaluation of the Extended Logistic, Simple Logistic, and Gompertz Models for Forecasting Short Lifecycle Products and Services
An Evaluaton of the Extended Logstc, Smple Logstc, and Gompertz Models for Forecastng Short Lfecycle Products and Servces Charles V. Trappey a,1, Hsn-yng Wu b a Professor (Management Scence), Natonal Chao
More informationFREQUENCY OF OCCURRENCE OF CERTAIN CHEMICAL CLASSES OF GSR FROM VARIOUS AMMUNITION TYPES
FREQUENCY OF OCCURRENCE OF CERTAIN CHEMICAL CLASSES OF GSR FROM VARIOUS AMMUNITION TYPES Zuzanna BRO EK-MUCHA, Grzegorz ZADORA, 2 Insttute of Forensc Research, Cracow, Poland 2 Faculty of Chemstry, Jagellonan
More informationRotation Kinematics, Moment of Inertia, and Torque
Rotaton Knematcs, Moment of Inerta, and Torque Mathematcally, rotaton of a rgd body about a fxed axs s analogous to a lnear moton n one dmenson. Although the physcal quanttes nvolved n rotaton are qute
More informationBinomial Link Functions. Lori Murray, Phil Munz
Bnomal Lnk Functons Lor Murray, Phl Munz Bnomal Lnk Functons Logt Lnk functon: ( p) p ln 1 p Probt Lnk functon: ( p) 1 ( p) Complentary Log Log functon: ( p) ln( ln(1 p)) Motvatng Example A researcher
More informationLecture 3: Annuity. Study annuities whose payments form a geometric progression or a arithmetic progression.
Lecture 3: Annuty Goals: Learn contnuous annuty and perpetuty. Study annutes whose payments form a geometrc progresson or a arthmetc progresson. Dscuss yeld rates. Introduce Amortzaton Suggested Textbook
More informationTime Domain simulation of PD Propagation in XLPE Cables Considering Frequency Dependent Parameters
Internatonal Journal of Smart Grd and Clean Energy Tme Doman smulaton of PD Propagaton n XLPE Cables Consderng Frequency Dependent Parameters We Zhang a, Jan He b, Ln Tan b, Xuejun Lv b, Hong-Je L a *
More informationTo manage leave, meeting institutional requirements and treating individual staff members fairly and consistently.
Corporate Polces & Procedures Human Resources - Document CPP216 Leave Management Frst Produced: Current Verson: Past Revsons: Revew Cycle: Apples From: 09/09/09 26/10/12 09/09/09 3 years Immedately Authorsaton:
More informationCHAPTER 8 Potential Energy and Conservation of Energy
CHAPTER 8 Potental Energy and Conservaton o Energy One orm o energy can be converted nto another orm o energy. Conservatve and non-conservatve orces Physcs 1 Knetc energy: Potental energy: Energy assocated
More information914 IEEE TRANSACTIONS ON ROBOTICS, VOL. 26, NO. 5, OCTOBER 2010
914 IEEE TRANSACTIONS ON ROBOTICS, VOL. 26, NO. 5, OCTOBER 2010 Modelng of Transmsson Characterstcs Across a Cable-Condut System Varun Agrawal, Student Member, IEEE, Wllam J. Pene, Member, IEEE, andbnyao,
More informationAn Interest-Oriented Network Evolution Mechanism for Online Communities
An Interest-Orented Network Evoluton Mechansm for Onlne Communtes Cahong Sun and Xaopng Yang School of Informaton, Renmn Unversty of Chna, Bejng 100872, P.R. Chna {chsun,yang}@ruc.edu.cn Abstract. Onlne
More informationCompaction of the diamond Ti 3 SiC 2 graded material by the high speed centrifugal compaction process
Archves of Materals Scence and Engneerng Volume 8 Issue November 7 Pages 677-68 Internatonal Scentfc Journal publshed monthly as the organ of the Commttee of Materals Scence of the Polsh Academy of Scences
More informationHow To Understand The Results Of The German Meris Cloud And Water Vapour Product
Ttel: Project: Doc. No.: MERIS level 3 cloud and water vapour products MAPP MAPP-ATBD-ClWVL3 Issue: 1 Revson: 0 Date: 9.12.1998 Functon Name Organsaton Sgnature Date Author: Bennartz FUB Preusker FUB Schüller
More informationAbstract. 260 Business Intelligence Journal July IDENTIFICATION OF DEMAND THROUGH STATISTICAL DISTRIBUTION MODELING FOR IMPROVED DEMAND FORECASTING
260 Busness Intellgence Journal July IDENTIFICATION OF DEMAND THROUGH STATISTICAL DISTRIBUTION MODELING FOR IMPROVED DEMAND FORECASTING Murphy Choy Mchelle L.F. Cheong School of Informaton Systems, Sngapore
More informationAPPLICATION OF COMPUTER PROGRAMMING IN OPTIMIZATION OF TECHNOLOGICAL OBJECTIVES OF COLD ROLLING
Journal Journal of Chemcal of Chemcal Technology and and Metallurgy, 50, 6, 50, 2015, 6, 2015 638-643 APPLICATION OF COMPUTER PROGRAMMING IN OPTIMIZATION OF TECHNOLOGICAL OBJECTIVES OF COLD ROLLING Abdrakhman
More informationRESEARCH ON DUAL-SHAKER SINE VIBRATION CONTROL. Yaoqi FENG 1, Hanping QIU 1. China Academy of Space Technology (CAST) yaoqi.feng@yahoo.
ICSV4 Carns Australa 9- July, 007 RESEARCH ON DUAL-SHAKER SINE VIBRATION CONTROL Yaoq FENG, Hanpng QIU Dynamc Test Laboratory, BISEE Chna Academy of Space Technology (CAST) yaoq.feng@yahoo.com Abstract
More informationA machine vision approach for detecting and inspecting circular parts
A machne vson approach for detectng and nspectng crcular parts Du-Mng Tsa Machne Vson Lab. Department of Industral Engneerng and Management Yuan-Ze Unversty, Chung-L, Tawan, R.O.C. E-mal: edmtsa@saturn.yzu.edu.tw
More informationChapter 4 ECONOMIC DISPATCH AND UNIT COMMITMENT
Chapter 4 ECOOMIC DISATCH AD UIT COMMITMET ITRODUCTIO A power system has several power plants. Each power plant has several generatng unts. At any pont of tme, the total load n the system s met by the
More informationActivity Scheduling for Cost-Time Investment Optimization in Project Management
PROJECT MANAGEMENT 4 th Internatonal Conference on Industral Engneerng and Industral Management XIV Congreso de Ingenería de Organzacón Donosta- San Sebastán, September 8 th -10 th 010 Actvty Schedulng
More informationSection C2: BJT Structure and Operational Modes
Secton 2: JT Structure and Operatonal Modes Recall that the semconductor dode s smply a pn juncton. Dependng on how the juncton s based, current may easly flow between the dode termnals (forward bas, v
More informationTECHNICAL NOTES 8 GRINDING. R. P. King
TECHNICAL NOTES 8 GRINDING R. P. Kng Copyrght R P kng 000 8. Grndng 8.. Grndng acton Industral grndng machnes used n the mneral processng ndustres are mostly of the tumblng mll type. These mlls exst n
More informationApplication of Quasi Monte Carlo methods and Global Sensitivity Analysis in finance
Applcaton of Quas Monte Carlo methods and Global Senstvty Analyss n fnance Serge Kucherenko, Nlay Shah Imperal College London, UK skucherenko@mperalacuk Daro Czraky Barclays Captal DaroCzraky@barclayscaptalcom
More informationPSYCHOLOGICAL RESEARCH (PYC 304-C) Lecture 12
14 The Ch-squared dstrbuton PSYCHOLOGICAL RESEARCH (PYC 304-C) Lecture 1 If a normal varable X, havng mean µ and varance σ, s standardsed, the new varable Z has a mean 0 and varance 1. When ths standardsed
More informationGRAVITY DATA VALIDATION AND OUTLIER DETECTION USING L 1 -NORM
GRAVITY DATA VALIDATION AND OUTLIER DETECTION USING L 1 -NORM BARRIOT Jean-Perre, SARRAILH Mchel BGI/CNES 18.av.E.Beln 31401 TOULOUSE Cedex 4 (France) Emal: jean-perre.barrot@cnes.fr 1/Introducton The
More informationCan Auto Liability Insurance Purchases Signal Risk Attitude?
Internatonal Journal of Busness and Economcs, 2011, Vol. 10, No. 2, 159-164 Can Auto Lablty Insurance Purchases Sgnal Rsk Atttude? Chu-Shu L Department of Internatonal Busness, Asa Unversty, Tawan Sheng-Chang
More informationDesign and Development of a Security Evaluation Platform Based on International Standards
Internatonal Journal of Informatcs Socety, VOL.5, NO.2 (203) 7-80 7 Desgn and Development of a Securty Evaluaton Platform Based on Internatonal Standards Yuj Takahash and Yoshm Teshgawara Graduate School
More informationHow To Analyze The Flow Patterns Of A Fracture Network
Flud Flow Complexty n Fracture Networks: Analyss wth Graph Theory and LBM Ghaffar, H.O. Department of Cvl Engneerng and Lassonde Insttute, Unversty of Toronto, Toronto, Canada Nasser, M.H.B. Department
More informationBrigid Mullany, Ph.D University of North Carolina, Charlotte
Evaluaton And Comparson Of The Dfferent Standards Used To Defne The Postonal Accuracy And Repeatablty Of Numercally Controlled Machnng Center Axes Brgd Mullany, Ph.D Unversty of North Carolna, Charlotte
More informationNON-CONSTANT SUM RED-AND-BLACK GAMES WITH BET-DEPENDENT WIN PROBABILITY FUNCTION LAURA PONTIGGIA, University of the Sciences in Philadelphia
To appear n Journal o Appled Probablty June 2007 O-COSTAT SUM RED-AD-BLACK GAMES WITH BET-DEPEDET WI PROBABILITY FUCTIO LAURA POTIGGIA, Unversty o the Scences n Phladelpha Abstract In ths paper we nvestgate
More informationESTIMATION OF RELAXATION AND THERMALIZATION TIMES IN MICROSCALE HEAT TRANSFER MODEL
JOURNAL OF THEORETICAL AND APPLIED MECHANICS 51, 4, pp. 837-845, Warsaw 2013 ESTIMATION OF RELAXATION AND THERMALIZATION TIMES IN MICROSCALE HEAT TRANSFER MODEL Bohdan Mochnack Częstochowa Unversty of
More informationCopulas. Modeling dependencies in Financial Risk Management. BMI Master Thesis
Copulas Modelng dependences n Fnancal Rsk Management BMI Master Thess Modelng dependences n fnancal rsk management Modelng dependences n fnancal rsk management 3 Preface Ths paper has been wrtten as part
More informationLecture 3: Force of Interest, Real Interest Rate, Annuity
Lecture 3: Force of Interest, Real Interest Rate, Annuty Goals: Study contnuous compoundng and force of nterest Dscuss real nterest rate Learn annuty-mmedate, and ts present value Study annuty-due, and
More informationInter-Ing 2007. INTERDISCIPLINARITY IN ENGINEERING SCIENTIFIC INTERNATIONAL CONFERENCE, TG. MUREŞ ROMÂNIA, 15-16 November 2007.
Inter-Ing 2007 INTERDISCIPLINARITY IN ENGINEERING SCIENTIFIC INTERNATIONAL CONFERENCE, TG. MUREŞ ROMÂNIA, 15-16 November 2007. UNCERTAINTY REGION SIMULATION FOR A SERIAL ROBOT STRUCTURE MARIUS SEBASTIAN
More informationPublished: 2003-01-01. Link to publication
A Thermodesorber for Onlne studes of Combuston Aerosols - Influence of partcle dameter, resdence tme and mass concentraton Dahl, Andreas; Pagels, Joakm Publshed: 2003-01-01 Lnk to publcaton Ctaton for
More informationAbstract # 015-0399 Working Capital Exposure: A Methodology to Control Economic Performance in Production Environment Projects
Abstract # 015-0399 Workng Captal Exposure: A Methodology to Control Economc Performance n Producton Envronment Projects Dego F. Manotas. School of Industral Engneerng and Statstcs, Unversdad del Valle.
More informationHow Sets of Coherent Probabilities May Serve as Models for Degrees of Incoherence
1 st Internatonal Symposum on Imprecse Probabltes and Ther Applcatons, Ghent, Belgum, 29 June 2 July 1999 How Sets of Coherent Probabltes May Serve as Models for Degrees of Incoherence Mar J. Schervsh
More informationCONVERSIONS BETWEEN HUNGARIAN MAP PROJECTION SYSTEMS
CONVERSIONS BETWEEN HUNGARIAN MAP PROJECTION SYSTEMS Lajos VÖLGYESI, Gula TÓTH, József VARGA Department of Geodes Techncal Unverst of Budapest H-11 Budapest, Hungar Abstract When dfferent map projecton
More informationPOLYSA: A Polynomial Algorithm for Non-binary Constraint Satisfaction Problems with and
POLYSA: A Polynomal Algorthm for Non-bnary Constrant Satsfacton Problems wth and Mguel A. Saldo, Federco Barber Dpto. Sstemas Informátcos y Computacón Unversdad Poltécnca de Valenca, Camno de Vera s/n
More informationDEFINING %COMPLETE IN MICROSOFT PROJECT
CelersSystems DEFINING %COMPLETE IN MICROSOFT PROJECT PREPARED BY James E Aksel, PMP, PMI-SP, MVP For Addtonal Informaton about Earned Value Management Systems and reportng, please contact: CelersSystems,
More informationThe Mathematical Derivation of Least Squares
Pscholog 885 Prof. Federco The Mathematcal Dervaton of Least Squares Back when the powers that e forced ou to learn matr algera and calculus, I et ou all asked ourself the age-old queston: When the hell
More informationJet Engine. Figure 1 Jet engine
Jet Engne Prof. Dr. Mustafa Cavcar Anadolu Unversty, School of Cvl Avaton Esksehr, urkey GROSS HRUS INAKE MOMENUM DRAG NE HRUS Fgure 1 Jet engne he thrust for a turboet engne can be derved from Newton
More informationChapter 11 Torque and Angular Momentum
Chapter 11 Torque and Angular Momentum I. Torque II. Angular momentum - Defnton III. Newton s second law n angular form IV. Angular momentum - System of partcles - Rgd body - Conservaton I. Torque - Vector
More informationProject Networks With Mixed-Time Constraints
Project Networs Wth Mxed-Tme Constrants L Caccetta and B Wattananon Western Australan Centre of Excellence n Industral Optmsaton (WACEIO) Curtn Unversty of Technology GPO Box U1987 Perth Western Australa
More informationForecasting the Demand of Emergency Supplies: Based on the CBR Theory and BP Neural Network
700 Proceedngs of the 8th Internatonal Conference on Innovaton & Management Forecastng the Demand of Emergency Supples: Based on the CBR Theory and BP Neural Network Fu Deqang, Lu Yun, L Changbng School
More informationFinite Math Chapter 10: Study Guide and Solution to Problems
Fnte Math Chapter 10: Study Gude and Soluton to Problems Basc Formulas and Concepts 10.1 Interest Basc Concepts Interest A fee a bank pays you for money you depost nto a savngs account. Prncpal P The amount
More information+ + + - - This circuit than can be reduced to a planar circuit
MeshCurrent Method The meshcurrent s analog of the nodeoltage method. We sole for a new set of arables, mesh currents, that automatcally satsfy KCLs. As such, meshcurrent method reduces crcut soluton to
More informationConversion between the vector and raster data structures using Fuzzy Geographical Entities
Converson between the vector and raster data structures usng Fuzzy Geographcal Enttes Cdála Fonte Department of Mathematcs Faculty of Scences and Technology Unversty of Combra, Apartado 38, 3 454 Combra,
More informationSTORM CENTERING APPROACH FOR FLOOD PREDICIONS FROM LARGE WATERSHEDS
Guo, James C.Y. (2011). Storm Centerng pproach for Flood Predctons from Large Watersheds, second revew, SCE J of Hydrologc Engneerng, May 2011. STORM CENTERING PPROCH FOR FLOOD PREDICIONS FROM LRGE WTERSHEDS
More informationChapter 9 PLUME-IN-GRID TREATMENT OF MAJOR POINT SOURCE EMISSIONS
Chapter 9 PLUME-IN-GRID TREATMENT OF MAJOR POINT SOURCE EMISSIONS N. V. Gllan Earth System Scence Laboratory Unversty of Alabama n Huntsvlle Huntsvlle, Alabama 35899 James M. Godowtch * Atmospherc Modelng
More informationA Mathematical Model for Colloidal Aggregation. Colleen S. O Brien
A Mathematcal Model for Collodal Aggregaton by Colleen S. O Bren A thess submtted n partal fulfllment of the reurements for the degree of Master of Scence n Chemcal Engneerng Department of Chemcal Engneerng
More informationQ3.8: A person trying to throw a ball as far as possible will run forward during the throw. Explain why this increases the distance of the throw.
Problem Set 3 Due: 09/3/, Tuesda Chapter 3: Vectors and Moton n Two Dmensons Questons: 7, 8,, 4, 0 Eercses & Problems:, 7, 8, 33, 37, 44, 46, 65, 73 Q3.7: An athlete performn the lon jump tres to acheve
More informationLecture 2: Single Layer Perceptrons Kevin Swingler
Lecture 2: Sngle Layer Perceptrons Kevn Sngler kms@cs.str.ac.uk Recap: McCulloch-Ptts Neuron Ths vastly smplfed model of real neurons s also knon as a Threshold Logc Unt: W 2 A Y 3 n W n. A set of synapses
More informationSTATISTICAL DATA ANALYSIS IN EXCEL
Mcroarray Center STATISTICAL DATA ANALYSIS IN EXCEL Lecture 6 Some Advanced Topcs Dr. Petr Nazarov 14-01-013 petr.nazarov@crp-sante.lu Statstcal data analyss n Ecel. 6. Some advanced topcs Correcton for
More informationSection 2 Introduction to Statistical Mechanics
Secton 2 Introducton to Statstcal Mechancs 2.1 Introducng entropy 2.1.1 Boltzmann s formula A very mportant thermodynamc concept s that of entropy S. Entropy s a functon of state, lke the nternal energy.
More informationRELIABILITY, RISK AND AVAILABILITY ANLYSIS OF A CONTAINER GANTRY CRANE ABSTRACT
Kolowrock Krzysztof Joanna oszynska MODELLING ENVIRONMENT AND INFRATRUCTURE INFLUENCE ON RELIABILITY AND OPERATION RT&A # () (Vol.) March RELIABILITY RIK AND AVAILABILITY ANLYI OF A CONTAINER GANTRY CRANE
More informationImperial College London
F. Fang 1, C.C. Pan 1, I.M. Navon 2, M.D. Pggott 1, G.J. Gorman 1, P.A. Allson 1 and A.J.H. Goddard 1 1 Appled Modellng and Computaton Group Department of Earth Scence and Engneerng Imperal College London,
More information