DSC Baseline Improvements Obtained by a New Heat Flow Measurement Technique


 John Sutton
 1 years ago
 Views:
Transcription
1 DS Baeline Impovement Obtained by a New Heat Flow Meauement Technique obet L. Danley, Pete A. aulfield TA Intument, 109 Luken Dive, New atle DE ABSTAT Nealy all diffeential canning caloimety (DS) eult ae affected by the intument baeline heat flow. Weak tanition, fo example gla tanition may not be unambiguouly detected if the intument baeline i not taight. Meauement of heat capacity i influenced by all of the defect in the intument baeline. A new technique fo meauing heat flow in a DS employing the heat flux pinciple i decibed that yield geatly impoved intument baeline. A foutem heat flow meauement equation i ued which include light intument imbalance that contibute to baeline defect. A DS heat flow eno that ue the foutem heat flow equation i decibed. The eno ha themally independent ample and efeence poition and two diffeential tempeatue meauement. INTODUTION Among the moe impotant pefomance chaacteitic of a DS i the intument baeline, i.e. the eidual heat flow ignal of the DS when opeated empty. The DS i a twin intument, compiing a ample and a efeence caloimete within a common themal encloue, whee the two caloimete ae aumed to be identical. The output of the DS i the diffeence between the heat flow meaued by each of the caloimete. A numbe of advantage ae gained by the ue of twin caloimete including cancellation of heat leakage and tempeatue ditubance common to both caloimete (1). It follow that if the two caloimete ae identical and ymmetically poitioned within the DS encloue, the diffeential heat flow ignal of the empty DS hould be zeo. Howeve, all DS, whethe heat flux o powe compenation give nonzeo heat flow meauement when opeated empty, demontating that the intument i not ymmetical. Heat flux DS typically have upeio baeline when compaed to powe compenation DS, owing to the much malle tempeatue diffeence between the encloue and the caloimete in heat flux DS. Intument aymmety and baeline cuvatue contibute to eo in heat capacity meauement in DS (2) and MDS (3). In vitually all DS, the meaued ignal i the diffeence between the tempeatue of the ample and efeence poition of the eno. Within the intument the T ignal i conveted to a heat flow ate uing a tempeatue dependent popotionality facto: q& E( T ) T (1) 1 TA268
2 the popotionality facto E(T) depend upon the geomety and mateial of contuction of the diffeential tempeatue eno. In commecial intument, the heat flow popotionality facto i geneally detemined by the manufactue and i aumed to be common to all intument of a given type. To detemine the elationhip between the meaued tempeatue() and heat flow, a mathematical model of the meauement appaatu i ued. Analyi of the heat flow meauement i baed on the lumped heat capacity method whee a themal ytem i epeented by themal eitance and heat capacitie (4). Thi type of analyi ha fequently been ued to model DS (57). Figue 1 how an equivalent cicuit that may be ued to epeent the heat flow meauement in a DS. Each caloimete compie a themal eitance and a heat capacity; ubcipt and indicate the ample o efeence caloimete. T and T ae the meaued tempeatue of the ample and efeence caloimete and T 0 i the tempeatue of the DS encloue. The meaued heat flow ae q, the heat flow to the ample and it pan and q, the heat flow to the efeence and it pan. Thi model doe not include the ample, efeence o thei pan. q q T T T 0 Figue 1 DS Heat Flow Meauement Model Pefoming a heat balance give the ample and efeence heat flow in tem of tempeatue T, T, T 0 and eno themal paamete,,, : T T dt q& 0 (2) T T dt q& 0 (3) The diffeence i taken between the ample and efeence heat flow and the two diffeential tempeatue ae ubtituted: T T T T0 T0 T Afte eaangement, the eult i a foutem heat flow equation giving the diffeence between the ample and efeence heat flow: 2 TA268
3 T q& 1 + T0 1 + ( ) dt d T The fit tem i identical to equation (1), the conventional DS heat flow. The econd and thid tem eflect imbalance between themal eitance and heat capacitie of the ample and efeence caloimete. The fouth tem i a heat flow aociated with diffeence in heating ate between the ample and efeence caloimete, it i geneally zeo except when a tanition i occuing in the ample, o duing MDS expeiment (8). A pinciple diffeence between thi heat flow equation and thoe peviouly ued in DS i that the caloimete have not been aumed to be identical. To ue thi equation, the eno heat capacitie and themal eitance mut be known, the DS mut include the two diffeential tempeatue meauement and the ample and efeence caloimete mut be independent. A new heat flux DS and eno have been deigned to meet thee meauement equiement (9) and a calibation pocedue allow the eno themal paamete to be detemined. alibation involve the detemination of the value fo,, and. The calibation pocedue include two identical contant heating ate expeiment; the fit i pefomed with the DS empty and the econd with apphie dik without pan on the ample and efeence poition. Fo the empty DS expeiment, the ample and efeence heat flow ae et equal to zeo, the heat balance equation (2) and (3) ae olved, thu giving the caloimete time contant: T dt 0 0 T T dt d T The time contant ae a function of tempeatue. Fo the apphie dik expeiment, the ample and efeence heat flow fom equation (2) and (3) ae et equal to the heat flow to the apphie dik, which equal the poduct of apphie ma, heat capacity and heating ate. The ample and efeence apphie dik heating ate ae aumed to be equal to the heating ate of the ample and efeence caloimete. Thi i a eaonable aumption, a apphie ha no fit ode tanition in thi tempeatue egion. Thee equation ae olved to give the caloimete heat capacitie: mcapph T0 1 dt mcapph T0 + T 1 dt d T Whee, the caloimete time contant wee detemined by the fit expeiment. Themal eitance ae found uing the time contant and heat capacitie: 3 TA268
4 Thu, themal paamete of the caloimete a a function of tempeatue ae detemined. The twin caloimete eno aembly i hown in Figue 2, it include poviion fo meauing tempeatue T, T 0 and diffeential tempeatue T and T 0. It wa deigned uch that the ample and efeence caloimete ae themally independent, in othe wod, heat flow in one caloimete doe not affect the tempeatue of the othe. The main body of the eno i contantan and conit of a thick flat bae and a pai of thin wall cloed end cylinde integal with the bae. The thin wall ection ceate the themal eitance and the flat end uface hold the ample and efeence. A thin chomel dik i welded to the Figue 2  Tzeo DS Seno Aembly undeide of each platfom and function a an aea themocouple junction to educe enitivity to vaiation of contact between eno and pan (10). A chomel wie i welded to each chomel dik. A contantan and a chomel wie ae welded to the cente of the bae tuctue. The bae uface i bazed to the ilve DS encloue, which make the bae of the eno aembly iothemal. Diffeential tempeatue T i meaued between the chomel wie attached to the chomel dik and T 0 i meaued between the chomel wie attached to the ample chomel dik and the eno bae. T i meaued between the ample chomel wie and the bae contantan wie. T 0 i meaued between the contantan and chomel wie attached to the eno bae. T 0 i ued to contol the tempeatue of the DS. EXPEIMENTAL Intument baeline can wee pefomed uing a TA Intument Q1000 DS that incopoate the heat flow eno aembly and heat flow meauement method 4 TA268
5 decibed above. Baeline wee un at 20 /min. uing the efigeated cooling ytem (S). alibation of the eno paamete wa pefomed uing the S at a heating ate of 20 /min. The DS cell and S wee puged with nitogen. ESULTS AND DISUSSION A compaion of the empty DS baeline of a Q1000 with S and a 2920 DS with S i hown in Figue 3, thi compaion i paticulaly apt, becaue the 2920 i notable fo excellent baeline pefomance. The Q1000 baeline i upeio in evey way, the tatup offet i much malle, the baeline i damatically taighte and lope i geatly educed. A expected of a twin caloimete, the empty intument heat flow ignal i vey nealy zeo eveywhee duing the expeiment. Notice that the heat flow cale i 1.0 mw and that the Q1000 data extend fom 80 to Heat Flow (mw) Heat Flow Q1000 Heat Flow Tempeatue ( ) Figue 3  Intument Baeline ompaion Figue 4 how a plot of intument baeline poduced by the Q1000 DS uing the S. Eight conecutive can wee made between 90 and 400 to demontate baeline pefomance. The total ange of heat flow vaiation i le than mw. All baeline ae vey taight, have vey little lope and vey mall tatup offet. Between any two conecutive baeline the vaiation i no geate than mw. Thee eult how that excellent baeline pefomance may be obtained ove a vey boad ange of tempeatue with excellent epeatability. Among the benefit of the baeline impovement achieved by the Tzeo DS ae the ability to meaue vey weak tanition (11). 5 TA268
6 0.2 Heat Flow (mw) Tempeatue ( ) Figue 4  Q1000 Intument Baeline Uing S ONLUSIONS Beginning fom fit pinciple, a new DS heat flow meauement technique ha been developed. Unlike taditional DS, the intument ha not been aumed to be pefectly ymmetic and the meauement include the effect of eno aymmety. A new DS eno ha been developed that include two diffeential tempeatue meauement o that the meauement model can be ued. A calibation technique ha been developed that give a moe thoough chaacteization of the DS eno and include the effect of aymmety. One of the impotant benefit of the Tzeo DS technology i a damatic impovement in intument baeline pefomance. EFEENES 1. W. Hemminge and G. Höhne, aloimety Fundamental and Pactice, 1984, V. B. F. Mathot, in: aloimety and Themal Analyi of Polyme, V.B.F. Mathot (Ed.), 1994, A. Bolle, et.al., J. Themal Analyi, 1997, v J. P. Holman, Heat Tanfe, 4 th Edition, 1976, A. P. Gay, in: Analytical aloimety,. S. Pote, J. F. Johnon (Ed.), 1968, v A. Baxte, in: Themal Analyi,. F. Schwenke, P. D. Gan (Ed.), 1969 v G. W. H. Höhne, W. Hemminge H.J. Flammeheim, Diffeential Scanning aloimety, 1996, L. Danley, P. A. aulfield, Poc. 29 th N. Ame. Them. Anal. Soc., L. Waguepack,. L. Blaine, Poc. 29 th N. Ame. Them. Anal. Soc., U.S. Patent 4,095,453, Diffeential Themal Analyi ell, P. A. aulfield, L.. Thoma, Poc. 29 th N. Ame. Them. Anal. Soc., TA268
7 7 TA268
Chapter 30: Magnetic Fields Due to Currents
d Chapte 3: Magnetic Field Due to Cuent A moving electic chage ceate a magnetic field. One of the moe pactical way of geneating a lage magnetic field (.11 T) i to ue a lage cuent flowing though a wie.
More informationParameter Identification of DC Motors
Paamete dentification of DC Moto utho: Dipl.ng. ngo öllmecke dvantage of the Paamete dentification Method Saving time and money in the teting poce: no anical coupling neceay Full infomation: Entie chaacteitic
More informationNewton s Shell Theorem
Newton Shell Theoem Abtact One of the pincipal eaon Iaac Newton wa motivated to invent the Calculu wa to how that in applying hi Law of Univeal Gavitation to pheicallyymmetic maive bodie (like planet,
More informationStandardized Coefficients
Standadized Coefficient Ta. How do ou decide which of the X ae mot impotant fo detemining? In thi handout, we dicu one poile (and contoveial) anwe to thi quetion  the tandadized egeion coefficient. Fomula.
More information(3) Bipolar Transistor Current Sources
B73 lectonics Analysis & Design (3) Bipola Tansisto Cuent Souces Leaning utcome Able to descibe and: Analyze and design a simple twotansisto BJT cuentsouce cicuit to poduce a given bias cuent. Analyze
More information1D STEADY STATE HEAT
D SEADY SAE HEA CONDUCION () Pabal alukda Aociate Pofeo Depatment of Mecanical Engineeing II Deli Email: pabal@mec.iitd.ac.in Palukda/MecIID emal Contact eitance empeatue ditibution and eat flow line
More informationSECTION 53 Angles and Their Measure
53 Angle and Thei Meaue 357 APPLICATIONS Appoximating. Poblem 93 and 9 efe to a equence of numbe geneated a follow: If an nd egula polygon i incibed in a cicle of adiu, then it can be hown that the aea
More informationVISCOSITY OF BIODIESEL FUELS
VISCOSITY OF BIODIESEL FUELS One of the key assumptions fo ideal gases is that the motion of a given paticle is independent of any othe paticles in the system. With this assumption in place, one can use
More informationSIMULATION OF GAS TURBINES OPERATING IN OFFDESIGN CONDITION
SIMULAION OF GAS URBINES OPERAING IN OFFDESIGN CONDIION Analdo Walte: awalte@fem.unicamp.b Univesity of Campinas Dept. of Enegy DE/FEM/Unicamp P.O. Box 6122  ZIP code 13083970  Bazil Abstact. In many
More informationSolutions to Problems: Chapter 7
Solution to Poblem: Chapte 7 P71. P72. P73. P74. Authoized and available hae LG 2; Baic a. Maximum hae available fo ale Authoized hae 2,000,000 Le: Shae outtanding 1,400,000 Available hae 600,000 b.
More informationGauss Law. Physics 231 Lecture 21
Gauss Law Physics 31 Lectue 1 lectic Field Lines The numbe of field lines, also known as lines of foce, ae elated to stength of the electic field Moe appopiately it is the numbe of field lines cossing
More informationLesson 2 Power Factor Improvement, Harmonic Reduction, Filter
Lesson 2 Powe Facto Impovement, Hamonic Reduction, Filte 1. Powe Facto Impovement Fo phasecontolled opeation in both single phase full wave half and full contolled bidge convetes, the displacement facto
More informationLAL Update. Letter From the President. Dear LAL User:
LAL Update ASSOCIATES OF CAPE COD, INCORPORATED OCTOBER 00 VOLUME 0, NO. Lette Fom the Pesident Dea LAL Use: This Update will claify some of the statistics used with tubidimetic and chomogenic LAL tests.
More informationDetermining solar characteristics using planetary data
Detemining sola chaacteistics using planetay data Intoduction The Sun is a G type main sequence sta at the cente of the Sola System aound which the planets, including ou Eath, obit. In this inestigation
More informationEpisode 401: Newton s law of universal gravitation
Episode 401: Newton s law of univesal gavitation This episode intoduces Newton s law of univesal gavitation fo point masses, and fo spheical masses, and gets students pactising calculations of the foce
More informationModelling and simulation of a signal injection selfsensored drive
Modelling and imulation o a ignal injection elenoed dive Alen Poljugan Faculty o Electical Engineeing and Computing, Depatment o electic machine, dive and automation, Univeity o Zageb Unka, Zageb, Coatia,
More informationChapter 6. GraduallyVaried Flow in Open Channels
Chapte 6 GaduallyVaied Flow in Open Channels 6.. Intoduction A stea nonunifom flow in a pismatic channel with gadual changes in its watesuface elevation is named as gaduallyvaied flow (GVF). The backwate
More informationAN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM
AN IMPLEMENTATION OF BINARY AND FLOATING POINT CHROMOSOME REPRESENTATION IN GENETIC ALGORITHM Main Golub Faculty of Electical Engineeing and Computing, Univesity of Zageb Depatment of Electonics, Micoelectonics,
More informationEffect of Unemployment Insurance Tax On Wages and Employment: A Partial Equilibrium Analysis
Effect of Unemployment nuance Tax On Wage and Employment: atial Equilibium nalyi Deegha Raj dhikai, Oklahoma Employment Secuity Commiion ynn Gay, Oklahoma Employment Secuity Commiion Jackie Bun, Texa &
More informationScal abil it y of ANSYS 16 applicat ions and Hardware select ion.
Technical white pape Scal abil it y of ANSYS 16 applicat ion and Hadwae elect ion. On multicoe and floating point acceleato poceo ytem Table of Content Ab t a ct... 2 Tet configuation detail... 2 Meage
More informationLab M4: The Torsional Pendulum and Moment of Inertia
M4.1 Lab M4: The Tosional Pendulum and Moment of netia ntoduction A tosional pendulum, o tosional oscillato, consists of a disklike mass suspended fom a thin od o wie. When the mass is twisted about the
More informationDeflection of Electrons by Electric and Magnetic Fields
Physics 233 Expeiment 42 Deflection of Electons by Electic and Magnetic Fields Refeences Loain, P. and D.R. Coson, Electomagnetism, Pinciples and Applications, 2nd ed., W.H. Feeman, 199. Intoduction An
More informationTriple Crown Higher Pressures Improved Temperatures Improved Abrasion Resistance
Eaton Aeoquip GH120 GH663 GH781 GH793 GH493 FC254 Highe s Impoved Tempeatues Impoved Abasion Resistance Tempeatue Abasion Resistance Eaton Aeoquip Bette in evey way that mattes Tempeatue Abasion Resistance
More informationUNIVERSIDAD DE CANTABRIA TESIS DOCTORAL
UNIVERSIDAD DE CANABRIA Depatamento de Ingenieía de Comunicaciones ESIS DOCORAL Cyogenic echnology in the Micowave Engineeing: Application to MIC and MMIC Vey Low Noise Amplifie Design Juan Luis Cano de
More informationUNITED KINGDOM DEBT MANAGEMENT OFFICE
United Kingdom Debt Management Office Eatcheap Cout Philpot Lane London EC3M 8UD UNITED KINGDOM DEBT MANAGEMENT OFFICE Fomulae fo Calculating Gilt Pice fom Yield t edition: 8 June 998 nd edition: 5 Januay
More informationLecture 16: Color and Intensity. and he made him a coat of many colours. Genesis 37:3
Lectue 16: Colo and Intensity and he made him a coat of many colous. Genesis 37:3 1. Intoduction To display a pictue using Compute Gaphics, we need to compute the colo and intensity of the light at each
More informationSemipartial (Part) and Partial Correlation
Semipatial (Pat) and Patial Coelation his discussion boows heavily fom Applied Multiple egession/coelation Analysis fo the Behavioal Sciences, by Jacob and Paticia Cohen (975 edition; thee is also an updated
More informationAP Physics B 2012 FreeResponse Questions
AP Phyic B 01 FeeRepone Quetion About the College Boad The College Boad i a miiondiven notfopofit oganization that connect tudent to college ucce and oppotunity. Founded in 1900, the College Boad wa
More informationModelling and Simulation of Four Quadrant Operation of Three Phase Brushless DC Motor With Hysteresis Current Controller
ISSN (Pint) : 30 375 Vol., Issue, June 03 Modelling and Simulation of Fou Quadant Opeation of Thee Phase Bushless DC Moto With Hysteesis Cuent Contolle Sanita C S, J T Kuncheia PG Student [IDAC], Dept.
More informationInstituto Superior Técnico Av. Rovisco Pais, 1 1049001 Lisboa Email: virginia.infante@ist.utl.pt
FATIGUE LIFE TIME PREDICTIO OF POAF EPSILO TB30 AIRCRAFT  PART I: IMPLEMETATIO OF DIFERET CYCLE COUTIG METHODS TO PREDICT THE ACCUMULATED DAMAGE B. A. S. Seano 1, V. I. M.. Infante 2, B. S. D. Maado
More informationQuestions & Answers Chapter 10 Software Reliability Prediction, Allocation and Demonstration Testing
M13914 Questions & Answes Chapte 10 Softwae Reliability Pediction, Allocation and Demonstation Testing 1. Homewok: How to deive the fomula of failue ate estimate. λ = χ α,+ t When the failue times follow
More informationMagnetic Bearing with Radial Magnetized Permanent Magnets
Wold Applied Sciences Jounal 23 (4): 495499, 2013 ISSN 18184952 IDOSI Publications, 2013 DOI: 10.5829/idosi.wasj.2013.23.04.23080 Magnetic eaing with Radial Magnetized Pemanent Magnets Vyacheslav Evgenevich
More informationExperiment MF Magnetic Force
Expeiment MF Magnetic Foce Intoduction The magnetic foce on a cuentcaying conducto is basic to evey electic moto  tuning the hands of electic watches and clocks, tanspoting tape in Walkmans, stating
More informationExperiment 6: Centripetal Force
Name Section Date Intoduction Expeiment 6: Centipetal oce This expeiment is concened with the foce necessay to keep an object moving in a constant cicula path. Accoding to Newton s fist law of motion thee
More informationGauss Law in dielectrics
Gauss Law in dielectics We fist deive the diffeential fom of Gauss s law in the pesence of a dielectic. Recall, the diffeential fom of Gauss Law is This law is always tue. E In the pesence of dielectics,
More informationTECHNICAL DATA. JIS (Japanese Industrial Standard) Screw Thread. Specifications
JIS (Japanese Industial Standad) Scew Thead Specifications TECNICAL DATA Note: Although these specifications ae based on JIS they also apply to and DIN s. Some comments added by Mayland Metics Coutesy
More informationSpace Vector Modulated Direct Torque Controlled (DTC SVM) Inverter Fed Induction Motor Drive
Waaw niveity of Technology Faculty of Electical Engineeing Intitute of Contol and Indutial Electonic Ph.D. Thei acin Żelechowki,. Sc. Space Vecto odulated Diect Toque Contolled (DTC SV) Invete Fed Induction
More informationConverting knowledge Into Practice
Conveting knowledge Into Pactice Boke Nightmae srs Tend Ride By Vladimi Ribakov Ceato of Pips Caie 20 of June 2010 2 0 1 0 C o p y i g h t s V l a d i m i R i b a k o v 1 Disclaime and Risk Wanings Tading
More informationSmart Antenna Array Calibration Procedure Including Amplitude and Phase Mismatch and Mutual Coupling Effects
Smat Antenna Aay alibation Pocedue Including Amplitude and Phase Mismatch and Mutual oupling Effects Kapil R. Dandeka, Hao Ling, and Guanghan Xu Univesity of Texas at Austin, Dept. of Elec. And omp. Eng.
More informationAn Introduction to Omega
An Intoduction to Omega Con Keating and William F. Shadwick These distibutions have the same mean and vaiance. Ae you indiffeent to thei iskewad chaacteistics? The Finance Development Cente 2002 1 Fom
More informationSupplementary Material for EpiDiff
Supplementay Mateial fo EpiDiff Supplementay Text S1. Pocessing of aw chomatin modification data In ode to obtain the chomatin modification levels in each of the egions submitted by the use QDCMR module
More informationON THE (Q, R) POLICY IN PRODUCTIONINVENTORY SYSTEMS
ON THE R POLICY IN PRODUCTIONINVENTORY SYSTEMS Saifallah Benjaafa and JoonSeok Kim Depatment of Mechanical Engineeing Univesity of Minnesota Minneapolis MN 55455 Abstact We conside a poductioninventoy
More informationWeek 34: Permutations and Combinations
Week 34: Pemutations and Combinations Febuay 24, 2016 1 Two Counting Pinciples Addition Pinciple Let S 1, S 2,, S m be disjoint subsets of a finite set S If S S 1 S 2 S m, then S S 1 + S 2 + + S m Multiplication
More informationProblems of the 2 nd International Physics Olympiads (Budapest, Hungary, 1968)
Poblems of the nd ntenational Physics Olympiads (Budapest Hungay 968) Péte Vankó nstitute of Physics Budapest Univesity of Technical Engineeing Budapest Hungay Abstact Afte a shot intoduction the poblems
More informationA RealTime PC Based Software Radio DVBT Receiver
FUTURE COMPUTIG : The Thid Intenational Confeence on Futue Computational Technologie and Application A RealTime PC Baed oftwae Radio DVBT Receive huming Teng Depatment of Electonic Engineeing ational
More informationSmall Hydropower Plant with variable speed PM generator
Witold MAZGAJ, Zbigniew SZULAR, Tomaz WĘGEL, Tadeuz SOBCZYK Politechnika Kakowka, ntytut Elektomechanicznych Pzemian Enegii Small Hydopowe Plant with vaiable peed PM geneato Abtact. Thi pape peent a new
More information2  ELECTROSTATIC POTENTIAL AND CAPACITANCE Page 1
 ELECTROSTATIC POTENTIAL AND CAPACITANCE Page. Line Integal of Electic Field If a unit positive chage is displaced by `given by dw E. dl dl in an electic field of intensity E, wok done is Line integation
More informationEconomics 326: Input Demands. Ethan Kaplan
Economics 326: Input Demands Ethan Kaplan Octobe 24, 202 Outline. Tems 2. Input Demands Tems Labo Poductivity: Output pe unit of labo. Y (K; L) L What is the labo poductivity of the US? Output is ouhgly
More informationLearning Objectives. Decreasing size. ~10 3 m. ~10 6 m. ~10 10 m 1/22/2013. Describe ionic, covalent, and metallic, hydrogen, and van der Waals bonds.
Lectue #0 Chapte Atomic Bonding Leaning Objectives Descibe ionic, covalent, and metallic, hydogen, and van de Waals bonds. Which mateials exhibit each of these bonding types? What is coulombic foce of
More informationVector Calculus: Are you ready? Vectors in 2D and 3D Space: Review
Vecto Calculus: Ae you eady? Vectos in D and 3D Space: Review Pupose: Make cetain that you can define, and use in context, vecto tems, concepts and fomulas listed below: Section 7.7. find the vecto defined
More informationHomework Solutions Unit 4: Chapter 22 CMPSC 465
Homeok Solution Unit : Chapte CMPSC 65 Diclaime: Thi i a daft of olution that ha been pepaed b the TA and the intucto make no guaantee that olution peented hee contain the leel of detail that ould be expected
More informationCOMPARISON OF SCALAR AND VECTOR CONTROL STRATEGIES OF INDUCTION MOTORS
HUNGARIAN JOURNAL OF INDUSTRIAL CHEMISTRY VESZPRÉM Vol. 9() pp. 6570 (0) COMPARISON OF SCALAR AND VECTOR CONTROL STRATEGIES OF INDUCTION MOTORS G. KOHLRUSZ, D. FODOR Univeity of Pannonia, Faculty of Engineeing,
More informationSome text, some maths and going loopy. This is a fun chapter as we get to start real programming!
Chapte Two Some text, some maths and going loopy In this Chapte you ae going to: Lean how to do some moe with text. Get Python to do some maths fo you. Lean about how loops wok. Lean lots of useful opeatos.
More informationThe LCOE is defined as the energy price ($ per unit of energy output) for which the Net Present Value of the investment is zero.
Poject Decision Metics: Levelized Cost of Enegy (LCOE) Let s etun to ou wind powe and natual gas powe plant example fom ealie in this lesson. Suppose that both powe plants wee selling electicity into the
More informationIn the lecture on double integrals over nonrectangular domains we used to demonstrate the basic idea
Double Integals in Pola Coodinates In the lectue on double integals ove nonectangula domains we used to demonstate the basic idea with gaphics and animations the following: Howeve this paticula example
More informationTechnical Description RF Cables
Technical Desciption RF Cables Contents Mechanical chaacteistics...1 Tensile stength...1 Bending popeties...1 Cush esistance...2 Sealing and pessuization...2 Tansmission line paametes...2 Pimay and seconday
More informationThe Essence of the Electromagnetic Wave is Not Energy
The Eence of the Electomagnetic Wave i Not Enegy Zeng Qingping Ai Foce Rada Academy Pofeo cienceum@yahoocn Abtact The cutomay opinion i: electic ave o light ave i enegy, TYang expeiment i the intefeence
More informationThe Binomial Distribution
The Binomial Distibution A. It would be vey tedious if, evey time we had a slightly diffeent poblem, we had to detemine the pobability distibutions fom scatch. Luckily, thee ae enough similaities between
More informationMechanics 1: Work, Power and Kinetic Energy
Mechanics 1: Wok, Powe and Kinetic Eneg We fist intoduce the ideas of wok and powe. The notion of wok can be viewed as the bidge between Newton s second law, and eneg (which we have et to define and discuss).
More informationPhysics 505 Homework No. 5 Solutions S51. 1. Angular momentum uncertainty relations. A system is in the lm eigenstate of L 2, L z.
Physics 55 Homewok No. 5 s S5. Angula momentum uncetainty elations. A system is in the lm eigenstate of L 2, L z. a Show that the expectation values of L ± = L x ± il y, L x, and L y all vanish. ψ lm
More informationYARN PROPERTIES MEASUREMENT: AN OPTICAL APPROACH
nd INTERNATIONAL TEXTILE, CLOTHING & ESIGN CONFERENCE Magic Wold of Textiles Octobe 03 d to 06 th 004, UBROVNIK, CROATIA YARN PROPERTIES MEASUREMENT: AN OPTICAL APPROACH Jana VOBOROVA; Ashish GARG; Bohuslav
More informationCRRC1 Method #1: Standard Practice for Measuring Solar Reflectance of a Flat, Opaque, and Heterogeneous Surface Using a Portable Solar Reflectometer
CRRC Method #: Standad Pactice fo Measuing Sola Reflectance of a Flat, Opaque, and Heteogeneous Suface Using a Potable Sola Reflectomete Scope This standad pactice coves a technique fo estimating the
More informationThe Critical Angle and Percent Efficiency of Parabolic Solar Cookers
The Citical Angle and Pecent Eiciency o Paabolic Sola Cookes Aiel Chen Abstact: The paabola is commonly used as the cuve o sola cookes because o its ability to elect incoming light with an incoming angle
More informationChapter 26  Electric Field. A PowerPoint Presentation by Paul E. Tippens, Professor of Physics Southern Polytechnic State University
Chapte 6 lectic Field A PowePoint Pesentation by Paul. Tippens, Pofesso of Physics Southen Polytechnic State Univesity 7 Objectives: Afte finishing this unit you should be able to: Define the electic field
More informationLINES AND TANGENTS IN POLAR COORDINATES
LINES AND TANGENTS IN POLAR COORDINATES ROGER ALEXANDER DEPARTMENT OF MATHEMATICS 1. Polacoodinate equations fo lines A pola coodinate system in the plane is detemined by a point P, called the pole, and
More informationProblem Set 6: Solutions
UNIVESITY OF ALABAMA Depatment of Physics and Astonomy PH 164 / LeClai Fall 28 Poblem Set 6: Solutions 1. Seway 29.55 Potons having a kinetic enegy of 5. MeV ae moving in the positive x diection and ente
More information1.4 Phase Line and Bifurcation Diag
Dynamical Systems: Pat 2 2 Bifucation Theoy In pactical applications that involve diffeential equations it vey often happens that the diffeential equation contains paametes and the value of these paametes
More informationContinuous Compounding and Annualization
Continuous Compounding and Annualization Philip A. Viton Januay 11, 2006 Contents 1 Intoduction 1 2 Continuous Compounding 2 3 Pesent Value with Continuous Compounding 4 4 Annualization 5 5 A Special Poblem
More informationPerformance Analysis of an Inverse Notch Filter and Its Application to F 0 Estimation
Cicuits and Systems, 013, 4, 1171 http://dx.doi.og/10.436/cs.013.41017 Published Online Januay 013 (http://www.scip.og/jounal/cs) Pefomance Analysis of an Invese Notch Filte and Its Application to F 0
More informationManual ultrasonic inspection of thin metal welds
Manual ultasonic inspection of thin metal welds Capucine Capentie and John Rudlin TWI Cambidge CB1 6AL, UK Telephone 01223 899000 Fax 01223 890689 Email capucine.capentie@twi.co.uk Abstact BS EN ISO 17640
More informationChapter 13 Fluids. Use the definition of density to express the mass of the gold sphere: The mass of the copper sphere is given by:
Chapte Fluid 5 One phee i ade of gold and ha a adiu and anothe phee i ade of coppe and ha a adiu. f the phee have equal a, hat i the atio of the adii, /? ictue the oble We can ue the definition of denity
More informationSELFINDUCTANCE AND INDUCTORS
MISN0144 SELFINDUCTANCE AND INDUCTORS SELFINDUCTANCE AND INDUCTORS by Pete Signell Michigan State Univesity 1. Intoduction.............................................. 1 A 2. SelfInductance L.........................................
More informationWorked Examples. v max =?
Exaple iction + Unifo Cicula Motion Cicula Hill A ca i diing oe a eicicula hill of adiu. What i the fatet the ca can die oe the top of the hill without it tie lifting off of the gound? ax? (1) Copehend
More informationInterface Design for Rationally Clocked GALS Systems
Intefae Deign fo Rationally Cloked GALS Sytem Joyee Mekie, Supatik Chakaboty, Giih Venkataamani,.S. Thiagaajan, D.K. Shama Mah 15, 2006 Motivation SoC : integation of pedeigned I oe Rationally loked ytem
More informationINITIAL MARGIN CALCULATION ON DERIVATIVE MARKETS OPTION VALUATION FORMULAS
INITIAL MARGIN CALCULATION ON DERIVATIVE MARKETS OPTION VALUATION FORMULAS Vesion:.0 Date: June 0 Disclaime This document is solely intended as infomation fo cleaing membes and othes who ae inteested in
More informationAutomated Hydraulic Drilling Rigs. HHSeries
Automated Hydaulic Dilling Rigs HHSeies The Shape of Things to Come CUSTOMSOLUTIONS HH600 Rig The HH Hydaulic Hoist Seies Eveything about the HH Seies is designed fo speed, safety and efficiency. You can
More informationPoynting Vector and Energy Flow in a Capacitor Challenge Problem Solutions
Poynting Vecto an Enegy Flow in a Capacito Challenge Poblem Solutions Poblem 1: A paallelplate capacito consists of two cicula plates, each with aius R, sepaate by a istance. A steay cuent I is flowing
More informationConcept and Experiences on using a Wikibased System for Softwarerelated Seminar Papers
Concept and Expeiences on using a Wikibased System fo Softwaeelated Semina Papes Dominik Fanke and Stefan Kowalewski RWTH Aachen Univesity, 52074 Aachen, Gemany, {fanke, kowalewski}@embedded.wthaachen.de,
More informationLATIN SQUARE DESIGN (LS) With the Latin Square design you are able to control variation in two directions.
Facts about the LS Design LATIN SQUARE DESIGN (LS) With the Latin Squae design you ae able to contol vaiation in two diections. Teatments ae aanged in ows and columns Each ow contains evey teatment.
More informationThe force between electric charges. Comparing gravity and the interaction between charges. Coulomb s Law. Forces between two charges
The foce between electic chages Coulomb s Law Two chaged objects, of chage q and Q, sepaated by a distance, exet a foce on one anothe. The magnitude of this foce is given by: kqq Coulomb s Law: F whee
More informationExperimental DTC of an Induction Motor Applied to Optimize a Tracking System
Euopean Aociation fo the Development of Renewable Enegie, Envionment and Powe Quality (EA4EPQ) Intenational Confeence on Renewable Enegie and Powe Quality (ICREPQ 2) Santiago de Compotela (Spain), 28th
More informationAvoided emissions kgco 2eq /m 2 Reflecting surfaces 130
ANALYSIS OF GLOBAL WARMING MITIGATION BY WHITE REFLECTING SURFACES Fedeico Rossi, Andea Nicolini Univesity of Peugia, CIRIAF Via G.Duanti 67 0615 Peugia, Italy T: +9075585846; F: +90755848470; E: fossi@unipg.it
More informationIntroduction to Stock Valuation. Background
Intoduction to Stock Valuation (Text efeence: Chapte 5 (Sections 5.45.9)) Topics backgound dividend discount models paamete estimation gowth oppotunities piceeanings atios some final points AFM 271 
More information11.4 Surface Area and Volume
I. Suface Aea and Volume of any Polyhedon A. Suface Aea um of the aea of it face. (Enough pape to wap it) B. Volume the meaue of pace taken up by a olid in theedimenional pace. (box of chocolate laye)
More informationTutorial 5 Principles of Transducers and Temperature Measurement
Tutoial 5 Pinciples of Tansuces an Tempeatue Measuement Chapte 5 Pinciples of Tansuces Example 5.1 (Johnson 26) A potentiometic isplacement senso is use to measue wokpiece motion fom to 1 cm. The esistance
More informationComparing Availability of Various Rack Power Redundancy Configurations
Compaing Availability of Vaious Rack Powe Redundancy Configuations White Pape 48 Revision by Victo Avela > Executive summay Tansfe switches and dualpath powe distibution to IT equipment ae used to enhance
More informationJapan s trading losses reach JPY20 trillion
IEEJ: Mach 2014. All Rights Reseved. Japan s tading losses each JPY20 tillion Enegy accounts fo moe than half of the tading losses YANAGISAWA Akia Senio Economist Enegy Demand, Supply and Foecast Goup
More informationLesson C3 2. Exploring Genetics. Performance Standard: 2. Discuss the implications of genetic variation.
Lesson C3 2 Exploing Genetics Unit C. Basic Pinciples of Agicultual/Hoticultual Science Poblem Aea 3. Undestanding Cells, Genetics, and Repoduction Lesson 2. Exploing Genetics New Mexico Content Standad:
More information4a 4ab b 4 2 4 2 5 5 16 40 25. 5.6 10 6 (count number of places from first nonzero digit to
. Simplify: 0 4 ( 8) 0 64 ( 8) 0 ( 8) = (Ode of opeations fom left to ight: Paenthesis, Exponents, Multiplication, Division, Addition Subtaction). Simplify: (a 4) + (a ) (a+) = a 4 + a 0 a = a 7. Evaluate
More informationPhysics 235 Chapter 5. Chapter 5 Gravitation
Chapte 5 Gavitation In this Chapte we will eview the popeties of the gavitational foce. The gavitational foce has been discussed in geat detail in you intoductoy physics couses, and we will pimaily focus
More informationSkills Needed for Success in Calculus 1
Skills Needed fo Success in Calculus Thee is much appehension fom students taking Calculus. It seems that fo man people, "Calculus" is snonmous with "difficult." Howeve, an teache of Calculus will tell
More informationDesign and Analysis of a Classical Controller to the Residual Oil in a Small Scale Semibatch Extractor
Euopean Symposium on Compute Aded Aided Pocess Engineeing 15 L. Puigjane and A. Espuña (Editos) 25 Elsevie Science B.V. All ights eseved. Design and Analysis of a Classical Contolle to the Residual Oil
More informationCOMPARISON BETWEEN MODELS FOR THE HEAT TRANSFER FLUID IN LATENT HEAT STORAGE SYSTEMS
COMPARISON BETWEEN MODELS FOR THE HEAT TRANSFER FLUID IN LATENT HEAT STORAGE SYSTEMS Antonio B. Jeu antonio@em.unicamp.b Kamal A. R. Imail amal@em.unicamp.b UNICAMP, Faculdade de Engenhaia Mecânica, Depto.
More informationBA 351 CORPORATE FINANCE LECTURE 4 TAXES AND THE MARGINAL INVESTOR. John R. Graham Adapted from S. Viswanathan FUQUA SCHOOL OF BUSINESS
BA 351 CORPORATE FINANCE LECTURE 4 TAXES AND THE MARGINAL INVESTOR John R. Gaham Adapted fom S. Viswanathan FUQUA SCHOOL OF BUSINESS DUKE UNIVERSITY 1 In this lectue we conside the effect of govenment
More informationNUCLEAR MAGNETIC RESONANCE
19 Jul 04 NMR.1 NUCLEAR MAGNETIC RESONANCE In this expeiment the phenomenon of nuclea magnetic esonance will be used as the basis fo a method to accuately measue magnetic field stength, and to study magnetic
More informationTHERMAL ISOLATION TECHNIQUES FOR CURE MONITORING USING FBG OPTICAL SENSORS
THERMAL OLATION TECHNIQUES FOR CURE MONITORING USING FBG OPTICAL SENSORS E.K.G. Boateng, P.J. Schubel, N.A. Waio Polyme Composites Goup Division of Mateials, Mechanics and Stuctues Faculty of Engineeing
More informationDo Vibrations Make Sound?
Do Vibations Make Sound? Gade 1: Sound Pobe Aligned with National Standads oveview Students will lean about sound and vibations. This activity will allow students to see and hea how vibations do in fact
More informationYour Comments. did not understand any of this wtf. so over my head I have no idea what I am doing :(
You Comments Llamas, and why it is so difficult to get someone to buy me one as a pet. All ask is that it beathes fie. have simple needs people. Seiously. p.s. this lectue was had. did not undestand any
More informationFigure 2. So it is very likely that the Babylonians attributed 60 units to each side of the hexagon. Its resulting perimeter would then be 360!
1. What ae angles? Last time, we looked at how the Geeks intepeted measument of lengths. Howeve, as fascinated as they wee with geomety, thee was a shape that was much moe enticing than any othe : the
More information