# Correlations for Convective Heat Transfer

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 In many cases it's convenient to have simple equations for estimation of heat transfer coefficients. Below is a collection of recommended correlations for single-phase convective flow in different geometries as well as a few equations for heat transfer processes with change of phase. Note that all equations are for mean Nusselt numbers and mean heat transfer coefficients. The following cases are treated: 1. Forced Convection Flow Inside a Circular Tube 2. Forced Convection Turbulent Flow Inside Concentric Annular Ducts 3. Forced Convection Turbulent Flow Inside Non-Circular Ducts 4. Forced Convection Flow Across Single Circular Cylinders and Tube Bundles 5. Forced Convection Flow over a Flat Plate 6. Natural Convection 7. Film Condensation 8. Nucleate Pool Boiling List of Symbols References 1 Forced Convection Flow Inside a Circular Tube All properties at fluid bulk mean temperature (arithmetic mean of inlet and outlet temperature). Nusselt numbers Nu 0 from sections 1-1 to 1-3 have to be corrected for temperaturedependent fluid properties according to section 1-4. \

2 1-1 Thermally developing, hydrodynamically developed laminar flow (Re < 2300) Constant wall temperature: Constant wall heat flux: (Hausen) 1-2 Simultaneously developing laminar flow (Re < 2300) Constant wall temperature: (Shah) (Stephan) Constant wall heat flux: which is valid over the range 0.7 < Pr < 7 or if Re Pr D/L < 33 also for Pr > Fully developed turbulent and transition flow (Re > 2300) Constant wall heat flux: (Petukhov, Gnielinski) where Constant wall temperature: For fluids with Pr > 0.7 correlation for constant wall heat flux can be used with negligible error.

3 1-4 Effects of property variation with temperature Liquids, laminar and turbulent flow: Subscript w: at wall temperature, without subscript: at mean fluid temperature Gases, laminar flow: Nu = Nu 0 Gases, turbulent flow: Temperatures in Kelvin 2 Forced Convection Flow Inside Concentric Annular Ducts, Turbulent (Re > 2300) D h = D o - D i All properties at fluid bulk mean temperature (arithmetic mean of inlet and outlet temperature). Heat transfer at the inner wall, outer wall insulated: Heat transfer at the outer wall, inner wall insulated: (Petukhov and Roizen)

4 Heat transfer at both walls, same wall temperatures: (Petukhov and Roizen) (Stephan) 3 Forced Convection Flow Inside Non-Circular Ducts, Turbulent (Re > 2300) Equations for circular tube with hydraulic diameter 4 Forced Convection Flow Across Single Circular Cylinders and Tube Bundles D = cylinder diameter, u m = free-stream velocity, all properties at fluid bulk mean temperature. Correction for temperature dependent fluid properties see section Smooth circular cylinder

5 (Gnielinski) where Valid over the ranges 10 < Re l < 10 7 and 0.6 < Pr < Tube bundle Transverse pitch ratio Longitudinal pitch ratio Void ratio for b > 1 for b < 1 Nu 0,bundle = f A Nu l,0 (Gnielinski) Nu l,0 according to section 4-1 with instead of Re l. Arrangement factor f A depends on tube bundle arrangement.

6 In-line arrangement: Staggered arrangement:

7 4-3 Finned tube bundle In-line tube bundle arrangement: (Paikert) Staggered tube bundle arrangement: (Paikert)

8 4-4 Effects of property variation with temperature Liquids: Subscript w: at wall temperature, without subscript: at mean fluid temperature. Gases: Temperatures in Kelvin. 5 Forced Convection Flow over a Flat Plate All properties at mean film temperature Laminar boundary layer, constant wall temperature: valid for Re L < , 0.6 < Pr < 10 (Pohlhausen)

9 Turbulent boundary layer along the whole plate, constant wall temperature: Boundary layer with laminar-turbulent transition: (Petukhov) (Gnielinski) 6 Natural Convection All properties at L = characteristic length (see below) Nu 0 "Length" L Vertical Wall 0.67 H Horizontal Cylinder 0.36 D Sphere 2.00 D For ideal gases: (temperature in K) valid for 10-4 < Gr Pr < , < Pr < 7640, and constant wall temperature (Churchill, Thelen)

10 7 Film Condensation All properties without subscript are for condensate at the mean temperature Exception: = vapor density at saturation temperature T s 7-1 Laminar film condensation Vertical wall or tube: (Nusselt) T w = mean wall temperature Horizontal cylinder: (Nusselt) T w = const. 7-2 Turbulent film condensation For vertical wall Re = C A m Re crit = 350 turbulent film: (Grigull)

11 8 Nucleate Pool Boiling T w = temperature of heating surface T s = saturation temperature Heat transfer at ambient pressure: (Stephan and Preußer) ' saturated liquid '' saturated vapor Bubble departure diameter Angle = rad for water = rad for low-boiling liquids = rad for other liquids For water in the range of 0.5 bar < p < 20 bar and 10 4 W/m 2 < < 10 6 W/m 2 the following equation may be applied: (Fritz) List of Symbols c p specific heat capacity at constant pressure D, d diameter g gravitational acceleration h mean heat transfer coefficient enthalpy of evaporation H height k thermal conductivity L length

12 T u Subscripts h i m o s w heat flux temperature flow velocity thermal diffusivity coefficient of thermal expansion dynamic viscosity kinematic viscosity density surface tension hydraulic inside mean outside saturation wall Dimensionless numbers Gr Nu Pr Re Grashof number mean Nusselt number Prandtl number Reynolds number References 1. Churchill, S.W.: Free convection around immersed bodies. Chapter of Heat Exchanger Design Handbook, Hemisphere (1983). 2. Fritz, W.: In VDI-Wärmeatlas, Düsseldorf (1963), Hb2. 3. Gnielinski, V.: Neue Gleichungen für den Wärme- und den Stoffübergang in turbulent durchströmten Rohren und Kanälen. Forschung im Ingenieurwesen 41, 8-16 (1975). 4. Gnielinski, V.: Berechnung mittlerer Wärme- und Stoffübergangskoeffizienten an laminar und turbulent überströmten Einzelkörpern mit Hilfe einer einheitlichen Gleichung. Forschung im Ingenieurwesen 41, (1975).

13 5. Grigull, U.: Wärmeübergang bei der Kondensation mit turbulenter Wasserhaut. Forschung im Ingenieurwesen 13, (1942). 6. Hausen, H.: Neue Gleichungen für die Wärmeübertragung bei freier und erzwungener Strömung. Allg. Wärmetechnik 9, (1959). 7. Nusselt, W.: Die Oberflächenkondensation des Wasserdampfes. VDI Z. 60, and (1916). 8. Petukhov, B.S.: Heat transfer and friction in turbulent pipe flow with variable physical properties. Adv. Heat Transfer 6, (1970). 9. Petukhov, B.S. and L.I. Roizen: High Temperature 2, (1964). 10. Pohlhausen, E.: Der Wärmeaustausch zwischen festen Körpern und Flüssigkeiten mit kleiner Reibung und kleiner Wärmeleitung. Z. Angew. Math. Mech. 1, (1921). 11. Shah, R.K.: Thermal entry length solutions for the circular tube and parallel plates. Proc. 3 rd Natnl. Heat Mass Transfer Conference, Indian Inst. Technol Bombay, Vol. I, Paper HMT (1975). 12. Stephan, K.: Wärmeübergang und Druckabfall bei nicht ausgebildeter Laminarströmung in Rohren und ebenen Spalten. Chem.-Ing.-Tech. 31, (1959). 13. Stephan, K.: Chem.-Ing.-Tech. 34, (1962). 14. Stephan, K. and P. Preußer: Wärmeübergang und maximale Wärmestromdichte beim Behältersieden binärer und ternärer Flüssigkeitsgemische. Chem.-Ing.-Tech. 51, 37 (1979). 15. VDI-Wärmeatlas, 7 th edition, Düsseldorf 1994.

### Module 2 : Convection. Lecture 20a : Illustrative examples

Module 2 : Convection Lecture 20a : Illustrative examples Objectives In this class: Examples will be taken where the concepts discussed for heat transfer for tubular geometries in earlier classes will

### Entrance Conditions. Chapter 8. Islamic Azad University

Chapter 8 Convection: Internal Flow Islamic Azad University Karaj Branch Entrance Conditions Must distinguish between entrance and fully developed regions. Hydrodynamic Effects: Assume laminar flow with

### Internal Convection: Fully Developed Flow

Internal Convection: Fully Developed Flow Laminar Flow in Circular Tube: Analytical local Nusselt number is constant in fully develop region depends on surface thermal condition constant heat flux Nu D

### Heat Transfer Prof. Dr. Ale Kumar Ghosal Department of Chemical Engineering Indian Institute of Technology, Guwahati

Heat Transfer Prof. Dr. Ale Kumar Ghosal Department of Chemical Engineering Indian Institute of Technology, Guwahati Module No. # 04 Convective Heat Transfer Lecture No. # 03 Heat Transfer Correlation

### FREESTUDY HEAT TRANSFER TUTORIAL 3 ADVANCED STUDIES

FREESTUDY HEAT TRANSFER TUTORIAL ADVANCED STUDIES This is the third tutorial in the series on heat transfer and covers some of the advanced theory of convection. The tutorials are designed to bring the

### Review: Convection and Heat Exchangers. Reminders

CH EN 3453 Heat Transfer Review: Convection and Heat Exchangers Chapters 6, 7, 8, 9 and 11 Reminders Midterm #2 Wednesday at 8:15 AM Review tomorrow 3:30 PM in WEB L104 (I think) Project Results and Discussion

### Natural Convection. Buoyancy force

Natural Convection In natural convection, the fluid motion occurs by natural means such as buoyancy. Since the fluid velocity associated with natural convection is relatively low, the heat transfer coefficient

### A Guide to Calculate Convection Coefficients for Thermal Problems Application Note

A Guide to Calculate Convection Coefficients for Thermal Problems Application Note Keywords: Thermal analysis, convection coefficients, computational fluid dynamics, free convection, forced convection.

### Experimental Study of Free Convection Heat Transfer From Array Of Vertical Tubes At Different Inclinations

Experimental Study of Free Convection Heat Transfer From Array Of Vertical Tubes At Different Inclinations A.Satyanarayana.Reddy 1, Suresh Akella 2, AMK. Prasad 3 1 Associate professor, Mechanical Engineering

### ME 144: Heat Transfer Convection Relations for External Flows. J. M. Meyers

ME 144: Heat Transfer Convection Relations for External Flows Empirical Correlations Generally, convection correlations for external flows are determined experimentally using controlled lab conditions

### HEAT TRANSFER ENHANCEMENT AND FRICTION FACTOR ANALYSIS IN TUBE USING CONICAL SPRING INSERT

HEAT TRANSFER ENHANCEMENT AND FRICTION FACTOR ANALYSIS IN TUBE USING CONICAL SPRING INSERT Rahul M. Gupta 1, Bhushan C. Bissa 2 1 Research Scholar, Department of Mechanical Engineering, Shri Ramdeobaba

### Mathematical Modelling and Design of an Advanced Once-Through Heat Recovery Steam Generator

Mathematical Modelling and Design of an Advanced Once-Through Heat Recovery Steam Generator Abstract Marie-Noëlle Dumont, Georges Heyen LASSC, University of Liège, Sart Tilman B6A, B-4000 Liège (Belgium)

### Basic Equations, Boundary Conditions and Dimensionless Parameters

Chapter 2 Basic Equations, Boundary Conditions and Dimensionless Parameters In the foregoing chapter, many basic concepts related to the present investigation and the associated literature survey were

### Free Convection Film Flows and Heat Transfer

Deyi Shang Free Convection Film Flows and Heat Transfer With 109 Figures and 69 Tables < J Springer Contents 1 Introduction 1 1.1 Scope 1 1.2 Application Backgrounds 1 1.3 Previous Developments 2 1.3.1

### Heat Transfer Enhancement in a Heat Exchanger using Punched and V-cut Twisted Tape Inserts

Heat Transfer Enhancement in a Heat Exchanger using Punched and V-cut Twisted Tape Inserts Imran Quazi#1, Prof. V.R.Mohite#2 #1DPCOE-Mechanical Department, SPP University Pune, India imranqu azi198 7@gmail.com

### 1. (Problem 8.23 in the Book)

1. (Problem 8.23 in the Book) SOLUTION Schematic An experimental nuclear core simulation apparatus consists of a long thin-walled metallic tube of diameter D and length L, which is electrically heated

### HANDLY & FREQUENTLY USED FORMULAS FOR THERMAL ENGINEERS

HANDLY & FREQUENTLY USED FORMULAS FOR THERMAL ENGINEERS GEOMETRY & MATH GEOMETRI & MATEMATIK Cylindrical (Tube) Volume V = p / 4 d 2 L [m 3 ] Cylindrical (Tube) Surface A = p d L [m 2 ] Rectangular Triangle

### INTERNAL FLOW TEST PROBLEMS. Test Problem 1

INTERNAL FLOW TEST PROBLEMS The non-proprietary test problems that have been used to validate some of the capabilities provided in INSTED for the analysis of internal flow are presented in this section.

### SURVEY OF LONG TIME BEHAVIOR AND COSTS OF INDUSTRIAL FLUIDIZED BED HEAT EXCHANGERS

SURVEY OF LONG TIME BEHAVIOR AND COSTS OF INDUSTRIAL FLUIDIZED BED HEAT EXCHANGERS R. Rautenbach and T. Katz Institut für Verfahrenstechnik der RWTH Aachen, Turmstraße 46, Aachen, Germany Keywords : Fluidized

### Iterative calculation of the heat transfer coefficient

Iterative calculation of the heat transfer coefficient D.Roncati Progettazione Ottica Roncati, via Panfilio, 17 44121 Ferrara Aim The plate temperature of a cooling heat sink is an important parameter

### Turbulent Heat Transfer in a Horizontal Helically Coiled Tube

Heat Transfer Asian Research, 28 (5), 1999 Turbulent Heat Transfer in a Horizontal Helically Coiled Tube Bofeng Bai, Liejin Guo, Ziping Feng, and Xuejun Chen State Key Laboratory of Multiphase Flow in

### Fundamentals of Heat and Mass Transfer

2008 AGI-Information Management Consultants May be used for personal purporses only or by libraries associated to dandelon.com network. SIXTH EDITION Fundamentals of Heat and Mass Transfer FRANK P. INCROPERA

### Heat transfer in Flow Through Conduits

Heat transfer in Flow Through Conduits R. Shankar Suramanian Department of Chemical and Biomolecular Engineering Clarkson University A common situation encountered y the chemical engineer is heat transfer

### NUMERICAL INVESTIGATIONS ON HEAT TRANSFER IN FALLING FILMS AROUND TURBULENCE WIRES

NUMERICAL INVESTIGATIONS ON HEAT TRANSFER IN FALLING FILMS AROUND TURBULENCE WIRES Abstract H. Raach and S. Somasundaram Thermal Process Engineering, University of Paderborn, Paderborn, Germany Turbulence

### Heat Transfer From A Heated Vertical Plate

Heat Transfer From A Heated Vertical Plate Mechanical and Environmental Engineering Laboratory Department of Mechanical and Aerospace Engineering University of California at San Diego La Jolla, California

### AN EXPERIMENTAL STUDY OF EXERGY IN A CORRUGATED PLATE HEAT EXCHANGER

International Journal of Mechanical Engineering and Technology (IJMET) Volume 6, Issue 11, Nov 2015, pp. 16-22, Article ID: IJMET_06_11_002 Available online at http://www.iaeme.com/ijmet/issues.asp?jtype=ijmet&vtype=6&itype=11

### Heat and Mass Correlations

Heat and Mass Correlations Alexander Rattner, Jonathan Bohren November 13, 008 Contents 1 Dimensionless Parameters Boundary ayer Analogies - Require Geometric Similarity 3 External Flow 3 3.1 External

### HEAT TRANSFER AUGMENTATION THROUGH DIFFERENT PASSIVE INTENSIFIER METHODS

HEAT TRANSFER AUGMENTATION THROUGH DIFFERENT PASSIVE INTENSIFIER METHODS P.R.Hatwar 1, Bhojraj N. Kale 2 1, 2 Department of Mechanical Engineering Dr. Babasaheb Ambedkar College of Engineering & Research,

### Comparison of Heat Transfer between a Helical and Straight Tube Heat Exchanger

International Journal of Engineering Research and Technology. ISSN 0974-3154 Volume 6, Number 1 (2013), pp. 33-40 International Research Publication House http://www.irphouse.com Comparison of Heat Transfer

### THERMAL ANALYSIS OF WATER COOLED CHARGE AIR COOLER IN TURBO CHARGED DIESEL ENGINE

THERMAL ANALYSIS OF WATER COOLED CHARGE AIR COOLER IN TURBO CHARGED DIESEL ENGINE J.N. Devi Sankar 1, P.S.Kishore 2 1 M.E. (Heat transfer in Energy Systems) Student, Department of Mechanical Engineering,

### Effective parameters on second law analysis for semicircular ducts in laminar flow and constant wall heat flux B

International Communications in Heat and Mass Transfer 32 (2005) 266 274 www.elsevier.com/locate/ichmt Effective parameters on second law analysis for semicircular ducts in laminar flow and constant wall

### Laminar Flow and Heat Transfer of Herschel-Bulkley Fluids in a Rectangular Duct; Finite-Element Analysis

Tamkang Journal of Science and Engineering, Vol. 12, No. 1, pp. 99 107 (2009) 99 Laminar Flow and Heat Transfer of Herschel-Bulkley Fluids in a Rectangular Duct; Finite-Element Analysis M. E. Sayed-Ahmed

### Theoretical and Experimental Investigation of Heat Transfer Characteristics through a Rectangular Microchannel Heat Sink

Theoretical and Experimental Investigation of Heat Transfer Characteristics through a Rectangular Microchannel Heat Sink Dr. B. S. Gawali 1, V. B. Swami 2, S. D. Thakre 3 Professor Dr., Department of Mechanical

### HEAT TRANSFER ANALYSIS IN A 3D SQUARE CHANNEL LAMINAR FLOW WITH USING BAFFLES 1 Vikram Bishnoi

HEAT TRANSFER ANALYSIS IN A 3D SQUARE CHANNEL LAMINAR FLOW WITH USING BAFFLES 1 Vikram Bishnoi 2 Rajesh Dudi 1 Scholar and 2 Assistant Professor,Department of Mechanical Engineering, OITM, Hisar (Haryana)

### Convection Heat Transfer and Flow Calculations Suitable for Analytical Modelling of Electric Machines

Convection Heat Transfer and Flow Calculations Suitable for Analytical Modelling of Electric Machines D.A. Staton A. Cavagnino Motor Design Ltd Politecnico di Torino 1 Eaton Court, Tetchill, Ellesmere

### CASL-U-2013-0193-000

L3:THM.CFD.P7.06 Implementation and validation of the new RPI boiling models using STAR-CCM+ as CFD Platform Victor Petrov, Annalisa Manera UMICH September 30, 2013 EXECUTIVE SUMMARY This milestone is

### Ravi Kumar Singh*, K. B. Sahu**, Thakur Debasis Mishra***

Ravi Kumar Singh, K. B. Sahu, Thakur Debasis Mishra / International Journal of Engineering Research and Applications (IJERA) ISSN: 48-96 www.ijera.com Vol. 3, Issue 3, May-Jun 3, pp.766-77 Analysis of

### CFD Simulation of Subcooled Flow Boiling using OpenFOAM

Research Article International Journal of Current Engineering and Technology E-ISSN 2277 4106, P-ISSN 2347-5161 2014 INPRESSCO, All Rights Reserved Available at http://inpressco.com/category/ijcet CFD

### Numerical Investigation of Heat Transfer Characteristics in A Square Duct with Internal RIBS

merical Investigation of Heat Transfer Characteristics in A Square Duct with Internal RIBS Abhilash Kumar 1, R. SaravanaSathiyaPrabhahar 2 Mepco Schlenk Engineering College, Sivakasi, Tamilnadu India 1,

### Keywords: Heat transfer enhancement; staggered arrangement; Triangular Prism, Reynolds Number. 1. Introduction

Heat transfer augmentation in rectangular channel using four triangular prisms arrange in staggered manner Manoj Kumar 1, Sunil Dhingra 2, Gurjeet Singh 3 1 Student, 2,3 Assistant Professor 1.2 Department

### HEAT TRANSFER ENHANCEMENT ON DOUBLE PIPE HEAT EXCHANGER BY WIRE COILED AND TAPER WIRE COILED TURBULATOR INSERTS

HEAT TRANSFER ENHANCEMENT ON DOUBLE PIPE HEAT EXCHANGER BY WIRE COILED AND TAPER WIRE COILED TURBULATOR INSERTS J.Kalil basha 1,G.Karthikeyan 2, S.Karuppusamy 3 1,2 Assistant Professor, Dhanalakshmi Srinivasan

### Macroscopic Balances for Nonisothermal Systems

Transport Phenomena Macroscopic Balances for Nonisothermal Systems 1 Macroscopic Balances for Nonisothermal Systems 1. The macroscopic energy balance 2. The macroscopic mechanical energy balance 3. Use

### ENHANCEMENT OF HEAT TRANSFER USING WIRE COIL INSERTS WITH CHORD RIBS

ENHANCEMENT OF HEAT TRANSFER USING WIRE COIL INSERTS WITH CHORD RIBS 1 P.S.Desale, 2 N.C.Ghuge 1 PG Student, Heat Power, MCERC, Nasik (India) 2 Asst. Prof., Mech. Dept., MCERC,Nasik(India) ABSTRACT From

### 2. CHRONOLOGICAL REVIEW ABOUT THE CONVECTIVE HEAT TRANSFER COEFFICIENT

ANALYSIS OF PCM SLURRIES AND PCM EMULSIONS AS HEAT TRANSFER FLUIDS M. Delgado, J. Mazo, C. Peñalosa, J.M. Marín, B. Zalba Thermal Engineering Division. Department of Mechanical Engineering University of

### Theoretical and Numerical Analysis of Heat Transfer in Pipeline System

APCOM & ISCM -4 th December, 20, Singapore Theoretical and Numerical Analysis of Heat Transfer in Pipeline System Xiaowei Zhu, Hui Tang, *Hua Li, Jiahua Hong, Songyuan Yang School of Mechanical & Aerospace

### Corrugated Tubular Heat Exchangers

Corrugated Tubular Heat Exchangers HEAT EXCHANGERS for the 21st CENTURY Corrugated Tubular Heat Exchangers (CTHE) Corrugated Tube Heat Exchangers are shell and tube heat exchangers which use corrugated

### International Journal of ChemTech Research CODEN (USA): IJCRGG ISSN: 0974-4290 Vol.7, No.6, pp 2580-2587, 2014-2015

International Journal of ChemTech Research CODEN (USA): IJCRGG ISSN: 0974-4290 Vol.7, No.6, pp 2580-2587, 2014-2015 Performance Analysis of Heat Transfer and Effectiveness on Laminar Flow with Effect of

### Fundamentals of THERMAL-FLUID SCIENCES

Fundamentals of THERMAL-FLUID SCIENCES THIRD EDITION YUNUS A. CENGEL ROBERT H. TURNER Department of Mechanical JOHN M. CIMBALA Me Graw Hill Higher Education Boston Burr Ridge, IL Dubuque, IA Madison, Wl

### Department of Chemical Engineering, National Institute of Technology, Tiruchirappalli 620 015, Tamil Nadu, India

Experimental Thermal and Fluid Science 32 (2007) 92 97 www.elsevier.com/locate/etfs Studies on heat transfer and friction factor characteristics of laminar flow through a circular tube fitted with right

### Exergy Analysis of a Water Heat Storage Tank

Exergy Analysis of a Water Heat Storage Tank F. Dammel *1, J. Winterling 1, K.-J. Langeheinecke 3, and P. Stephan 1,2 1 Institute of Technical Thermodynamics, Technische Universität Darmstadt, 2 Center

### Heat Transfer Analysis of Cylindrical Perforated Fins in Staggered Arrangement

International Journal of Innovative Technology and Exploring Engineering (IJITEE) ISSN: 2278-3075, Volume-2, Issue-5, April 203 Heat Transfer Analysis of Cylindrical Fins in Staggered Arrangement Amol

### International Journal of Latest Research in Science and Technology Volume 4, Issue 2: Page No.161-166, March-April 2015

International Journal of Latest Research in Science and Technology Volume 4, Issue 2: Page No.161-166, March-April 2015 http://www.mnkjournals.com/ijlrst.htm ISSN (Online):2278-5299 EXPERIMENTAL STUDY

### ENSC 283 Introduction and Properties of Fluids

ENSC 283 Introduction and Properties of Fluids Spring 2009 Prepared by: M. Bahrami Mechatronics System Engineering, School of Engineering and Sciences, SFU 1 Pressure Pressure is the (compression) force

### Differential Relations for Fluid Flow. Acceleration field of a fluid. The differential equation of mass conservation

Differential Relations for Fluid Flow In this approach, we apply our four basic conservation laws to an infinitesimally small control volume. The differential approach provides point by point details of

### A COMPUTATIONAL FLUID DYNAMICS STUDY ON THE ACCURACY OF HEAT TRANSFER FROM A HORIZONTAL CYLINDER INTO QUIESCENT WATER

A COMPUTATIONAL FLUID DYNAMICS STUDY ON THE ACCURACY OF HEAT TRANSFER FROM A HORIZONTAL CYLINDER INTO QUIESCENT WATER William Logie and Elimar Frank Institut für Solartechnik SPF, 8640 Rapperswil (Switzerland)

### Convection Heat Transfer From Tube Banks in Crossflow: Analytical Approach

AIAA 2005-0958 Convection Heat Transfer From Tube Banks in Crossflow: Analytical Approach M. M. Yovanovich, Fellow AIAA W. A. Khan J. R. Culham Microelectronics Heat Transfer Laboratory Department of Mechanical

### Sizing of triple concentric pipe heat exchanger

Sizing of triple concentric pipe heat exchanger 1 Tejas M. Ghiwala, 2 Dr. V.K. Matawala 1 Post Graduate Student, 2 Head of Department 1 Thermal Engineering, SVMIT, Bharuch-392001, Gujarat, INDIA, 2 Department

### Chapter 10. Flow Rate. Flow Rate. Flow Measurements. The velocity of the flow is described at any

Chapter 10 Flow Measurements Material from Theory and Design for Mechanical Measurements; Figliola, Third Edition Flow Rate Flow rate can be expressed in terms of volume flow rate (volume/time) or mass

### In Chapters 7 and 8, we considered heat transfer by forced convection,

cen58933_ch09.qxd 9/4/2002 2:25 PM Page 459 NATURAL CONVECTION CHAPTER 9 In Chapters 7 and 8, we considered heat transfer by forced convection, where a fluid was forced to move over a surface or in a tube

### Abaqus/CFD Sample Problems. Abaqus 6.10

Abaqus/CFD Sample Problems Abaqus 6.10 Contents 1. Oscillatory Laminar Plane Poiseuille Flow 2. Flow in Shear Driven Cavities 3. Buoyancy Driven Flow in Cavities 4. Turbulent Flow in a Rectangular Channel

### Head Loss in Pipe Flow ME 123: Mechanical Engineering Laboratory II: Fluids

Head Loss in Pipe Flow ME 123: Mechanical Engineering Laboratory II: Fluids Dr. J. M. Meyers Dr. D. G. Fletcher Dr. Y. Dubief 1. Introduction Last lab you investigated flow loss in a pipe due to the roughness

### A LAMINAR FLOW ELEMENT WITH A LINEAR PRESSURE DROP VERSUS VOLUMETRIC FLOW. 1998 ASME Fluids Engineering Division Summer Meeting

TELEDYNE HASTINGS TECHNICAL PAPERS INSTRUMENTS A LAMINAR FLOW ELEMENT WITH A LINEAR PRESSURE DROP VERSUS VOLUMETRIC FLOW Proceedings of FEDSM 98: June -5, 998, Washington, DC FEDSM98 49 ABSTRACT The pressure

### Ch 2 Properties of Fluids - II. Ideal Fluids. Real Fluids. Viscosity (1) Viscosity (3) Viscosity (2)

Ch 2 Properties of Fluids - II Ideal Fluids 1 Prepared for CEE 3500 CEE Fluid Mechanics by Gilberto E. Urroz, August 2005 2 Ideal fluid: a fluid with no friction Also referred to as an inviscid (zero viscosity)

### Practice Problems on Boundary Layers. Answer(s): D = 107 N D = 152 N. C. Wassgren, Purdue University Page 1 of 17 Last Updated: 2010 Nov 22

BL_01 A thin flat plate 55 by 110 cm is immersed in a 6 m/s stream of SAE 10 oil at 20 C. Compute the total skin friction drag if the stream is parallel to (a) the long side and (b) the short side. D =

### The examination rubric is: Answer THREE questions, from FIVE offered. All questions carry equal weight.

MODULE DESCRIPTOR MECHGM06 Heat Transfer and Heat Systems Code: MECHGM06 Alt. Codes(s) MECHGR06, MECHM007 Title: Heat Transfer and Heat Systems Level: M UCL Credits/ECTS: 15/6 Start: September End: March

### Transactions on Engineering Sciences vol 5, 1994 WIT Press, ISSN

Heat transfer from thermally developing flow of non-newtonian fluids in rectangular ducts B.T.F. Chung & Z.J. Zhang Department of Mechanical Engineering, The University of Akron, Akron, ABSTRACT The purpose

### Convection heat transfer from tube banks in crossflow: Analytical approach

International Journal of Heat and Mass Transfer 49 (2006) 4831 4838 www.elsevier.com/locate/ijhmt Convection heat transfer from tube banks in crossflow: Analytical approach W.A. Khan a, *, J.R. Culham

### 4.What is the appropriate dimensionless parameter to use in comparing flow types? YOUR ANSWER: The Reynolds Number, Re.

CHAPTER 08 1. What is most likely to be the main driving force in pipe flow? A. Gravity B. A pressure gradient C. Vacuum 2.What is a general description of the flow rate in laminar flow? A. Small B. Large

### Chapter 11. Objectives

Chapter 11 Heat Exchangers Islamic Azad University Karaj Branch Objectives When you finish studying this chapter, you should be able to: Recognize numerous types of heat exchangers, and classify them,

### EXPERIMENTAL ANALYSIS OF HEAT TRANSFER ENHANCEMENT IN A CIRCULAR TUBE WITH DIFFERENT TWIST RATIO OF TWISTED TAPE INSERTS

INTERNATIONAL JOURNAL OF HEAT AND TECHNOLOGY Vol.33 (2015), No.3, pp.158-162 http://dx.doi.org/10.18280/ijht.330324 EXPERIMENTAL ANALYSIS OF HEAT TRANSFER ENHANCEMENT IN A CIRCULAR TUBE WITH DIFFERENT

### 8. Evaporators */ A. Introduction

CHAPTER 8. EVAPORATORS 8. Evaporators */ A. Introduction 8.01 The evaporator is one of the four basic and necessary hardware components of the refrigeration system. (The refrigerant may be considered as

### EFFECT OF USE OF SWIRL FLOW DEVICES TO IMPROVE HEAT TRANSFER RATE IN HEAT EXCHANGERS

EFFECT OF USE OF SWIRL FLOW DEVICES TO IMPROVE HEAT TRANSFER RATE IN HEAT EXCHANGERS P.S.Desale 1, Prof. N.C.Ghuge 2 1 PG Student, ME (Heat Power), MCERC, Nasik, (India) 2 Associate Prof., Department of

### International journal of Engineering Research-Online A Peer Reviewed International Journal Articles available online http://www.ijoer.

REVIEW ARTICLE ISSN: 2321-7758 REVIEW OF HEAT TRANSFER AUGMENTATION TECHNIQUES MANOJ HAJARE, CHETAN DEORE, KAVITA KHARDE, PUSHKAR RAWALE, VIVEK DALVI Department of Mechanical Engineering, SITRC, NASHIK

### Proceedings of the ASME th International Conference on Nanochannels, Microchannels and Minichannels

Proceedings of the ASME 2009 7th International Conference on Nanochannels, Microchannels and Minichannels ICNMM2009 June 22-24, 2009, Pohang, South Korea Proceedings of the Seventh International ASME Conference

### Heat pipes and Thermosyphons. Heat pipes and Thermosyphons. Heat pipes and Thermosyphons. Heat pipes. Heat pipes. Heat pipes

Heat pipes and Thermosyphons Cold end Hot end Inside the system, there is a fluid (usually termed refrigerant) Heat pipes and Thermosyphons Cold end Hot end Heat is transferred as latent heat of evaporation

### Experimental &Theoretical Investigation of Pressure Drop across Tube Bundle of a THPHE and Introducing a New Correlation

Experimental &Theoretical Investigation of Pressure Drop across Tube Bundle of a THPHE and Introducing a New Correlation Zare aliabadi *, Hassan Department of chemical engineering, Islamic Azad University

### Experimental Study On Heat Transfer Enhancement In A Circular Tube Fitted With U -Cut And V -Cut Twisted Tape Insert

Experimental Study On Heat Transfer Enhancement In A Circular Tube Fitted With U -Cut And V -Cut Twisted Tape Insert Premkumar M Abstract Experimental investigation of heat transfer and Reynolds number

### Applied Fluid Mechanics

Applied Fluid Mechanics Sixth Edition Robert L. Mott University of Dayton PEARSON Prentkv Pearson Education International CHAPTER 1 THE NATURE OF FLUIDS AND THE STUDY OF FLUID MECHANICS 1.1 The Big Picture

### ENHANCEMENT OF NATURAL CONVECTION HEAT TRANSFER BY THE EFFECT OF HIGH VOLTAGE D.C. ELECTRIC FIELD

Int. J. Mech. Eng. & Rob. Res. 014 Amit Kumar and Ritesh Kumar, 014 Research Paper ISSN 78 0149 www.ijmerr.com Vol. 3, No. 1, January 014 014 IJMERR. All Rights Reserved ENHANCEMENT OF NATURAL CONVECTION

### INTERNATIONAL JOURNAL OF RESEARCH IN AERONAUTICAL AND MECHANICAL ENGINEERING

ISSN (ONLINE): 2321-3051 INTERNATIONAL JOURNAL OF RESEARCH IN AERONAUTICAL AND MECHANICAL ENGINEERING Study of forced convection heat transfer With DAQ & ANSYS First Authors Moopanar karthikeyan 1, Raote

### Heating In Agitated & Non-Agitated Vessels

Heating In Agitated & Non-Agitated Vessels IBD/BFBiMidland Section Engineering Symposium on Heat Transfer and Refrigeration Burton-on-Trent Jan 2014 Mark Phillips Briggs of Burton Contents Heat Energy

### HEAT TRANSFER IM0245 3 LECTURE HOURS PER WEEK THERMODYNAMICS - IM0237 2014_1

COURSE CODE INTENSITY PRE-REQUISITE CO-REQUISITE CREDITS ACTUALIZATION DATE HEAT TRANSFER IM05 LECTURE HOURS PER WEEK 8 HOURS CLASSROOM ON 6 WEEKS, HOURS LABORATORY, HOURS OF INDEPENDENT WORK THERMODYNAMICS

### Transactions on Engineering Sciences vol 5, 1994 WIT Press, www.witpress.com, ISSN 1743-3533

Laminar flow forced convective heat transfer in a helical square duct with a finite pitch C.J. Bolinder & B. Sunden Division of Heat Transfer, Lund Institute of Technology, Box 118, 221 00 Lund, Sweden

### Fluid Mechanics: Static s Kinematics Dynamics Fluid

Fluid Mechanics: Fluid mechanics may be defined as that branch of engineering science that deals with the behavior of fluid under the condition of rest and motion Fluid mechanics may be divided into three

### Experiment 3 Pipe Friction

EML 316L Experiment 3 Pipe Friction Laboratory Manual Mechanical and Materials Engineering Department College of Engineering FLORIDA INTERNATIONAL UNIVERSITY Nomenclature Symbol Description Unit A cross-sectional

### FREE CONVECTION FROM OPTIMUM SINUSOIDAL SURFACE EXPOSED TO VERTICAL VIBRATIONS

International Journal of Mechanical Engineering and Technology (IJMET) Volume 7, Issue 1, Jan-Feb 2016, pp. 214-224, Article ID: IJMET_07_01_022 Available online at http://www.iaeme.com/ijmet/issues.asp?jtype=ijmet&vtype=7&itype=1

### INTRODUCTION TO FLUID MECHANICS

INTRODUCTION TO FLUID MECHANICS SIXTH EDITION ROBERT W. FOX Purdue University ALAN T. MCDONALD Purdue University PHILIP J. PRITCHARD Manhattan College JOHN WILEY & SONS, INC. CONTENTS CHAPTER 1 INTRODUCTION

### Basic Principles in Microfluidics

Basic Principles in Microfluidics 1 Newton s Second Law for Fluidics Newton s 2 nd Law (F= ma) : Time rate of change of momentum of a system equal to net force acting on system!f = dp dt Sum of forces

### Natural Convective Heat Transfer from Inclined Narrow Plates

Natural Convective Heat Transfer from Inclined Narrow Plates Mr. Gandu Sandeep M-Tech Student, Department of Mechanical Engineering, Malla Reddy College of Engineering, Maisammaguda, Secunderabad, R.R.Dist,

### Effect of air humidity on the convective mass transfer coefficient in a rectangular duct

Effect of air humidity on the convective mass transfer coefficient in a rectangular duct Conrad R. Iskra, Carey J. Simonson epartment of Mechanical Engineering, University of Saskatchewan, 57 Campus rive,

### Second Law Analysis of Parallel Plate Ducts with Span Wise Periodic Triangular Corrugations at one Wall

INTERNATIONAL JOURNAL OF MULTIDISCILINARY SCIENCES AND ENGINEERING, VOL., NO. 7, OCTOBER 011 Second La Analysis of arallel late Ducts it Span Wise eriodic Triangular Corrugations at one Wall Alireza Falaat

### Battery Thermal Management System Design Modeling

Battery Thermal Management System Design Modeling Gi-Heon Kim, Ph.D Ahmad Pesaran, Ph.D (ahmad_pesaran@nrel.gov) National Renewable Energy Laboratory, Golden, Colorado, U.S.A. EVS October -8, 8, 006 Yokohama,

### HEAT AND MASS TRANSFER IN AN INDIRECT CONTACT COOLING TOWER: CFD SIMULATION AND EXPERIMENT

Numerical Heat Transfer, Part A, 54: 933 944, 2008 Copyright # Taylor & Francis Group, LLC ISSN: 1040-7782 print=1521-0634 online DOI: 10.1080/10407780802359104 HEAT AND MASS TRANSFER IN AN INDIRECT CONTACT

### THE EFFECTS OF DUCT SHAPE ON THE NUSSELT NUMBER

Mathematical and Computational pplications, Vol, No, pp 79-88, 5 ssociation for Scientific Research THE EFFECTS OF DUCT SHPE ON THE NUSSELT NUMBER M Emin Erdoğan and C Erdem Imrak Faculty of Mechanical

### STUDY OF HEAT TRANSFER ON BROKEN ARC ROUGHNESS ELEMENTS ON THE ABSORBER PLATE FOR SOLAR ENERGY BASED HEATER: A REVIEW

International Journal of Mechanical Engineering and Technology (IJMET) Volume 7, Issue 1, Jan-Feb 216, pp. 99-19, Article ID: IJMET_7_1_11 Available online at http://www.iaeme.com/ijmet/issues.asp?jtype=ijmet&vtype=7&itype=1

### Dependency of heat transfer rate on the Brinkman number in microchannels

Dependency of heat transfer rate on the Brinkman number in microchannels Hee Sung Park Stokes Institute, University of Limerick, Limerick, Ireland Abstract Heat generation from electronics increases with

### Week 5. Convection Heat Transfer. See Website for material on convective heat transfer.

WK5TPCSWEB.TEX ECE 309 M.M. Yovanovich Week 5 Lecture 1 Convection Heat Tranfer. See Webite for material on convective heat tranfer. Overview of Convective Heat Tranfer Newton' Law of Cooling: _Q conv

### Fluid Mechanics Prof. T. I. Eldho Department of Civil Engineering Indian Institute of Technology, Bombay. Lecture No. # 36 Pipe Flow Systems

Fluid Mechanics Prof. T. I. Eldho Department of Civil Engineering Indian Institute of Technology, Bombay Lecture No. # 36 Pipe Flow Systems Welcome back to the video course on Fluid Mechanics. In today