study of heat transfer in plate heat exchanger by

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STUDY OF HEAT TRANSFER IN PLATE HEAT EXCHANGER BY USING CFD SIMULATION WAN NURMAISARAH BT WAN HAMARUDDIN Thesis submitted in fulfillment of the requirements for the award of the degree of Bachelor of Chemical Engineering (Gas Technology) Faculty of Chemical and Natural Resources Engineering UNIVERSITI MALAYSIA PAHANG JANUARY 2012

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Page 1: STUDY OF HEAT TRANSFER IN PLATE HEAT EXCHANGER BY

STUDY OF HEAT TRANSFER IN PLATE HEAT EXCHANGER BY USING CFD

SIMULATION

WAN NURMAISARAH BT WAN HAMARUDDIN

Thesis submitted in fulfillment of the requirements

for the award of the degree of

Bachelor of Chemical Engineering (Gas Technology)

Faculty of Chemical and Natural Resources Engineering

UNIVERSITI MALAYSIA PAHANG

JANUARY 2012

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ABSTRACT

A plate heat exchanger is a type of heat exchanger which uses metal plates to transfer heat

between two fluids. The metal plates that commonly used are stainless steel because of its

ability to withstand high temperatures, its strength and its corrosion resistance. The basic

working principle is very simple though; the channels that formed between the plates and

corner ports are arranged so that the two fluid flows through alternate channels. The heat is

transferred through the thin plate between the channels, and creating complete counter

current flow for highest possible efficiency. No intermixing of the fluid or leakage to the

surroundings will occur as gaskets around the edges of the plates seal the unit. The

objectives of this study are to study the heat transfer performance of plate heat exchanger

for heating diesel with hot water and to observe which configurations and parameters that

gives the best results. In addition, the objective is to study and modeling the heat transfer of

plate heat exchanger using simulation. Computational Fluid Dynamic (CFD) is a tool used

in this simulation which consists of GAMBIT and FLUENT. Volume meshing in GAMBIT

is an important part to be considered before doing simulation in FLUENT as a solver.

Parameters that had been used were velocity and temperature of water. The velocity for

both diesel and hot water were calculated using mass flow rate of 100L/min, 150 L/min and

200 L/min as a basic. The temperature of hot water varies from 60°C, 70°C and 80°C.

Thus, this paper presents the simulation of heat transfer in plate heat exchanger model for

parallel and series configurations. It is observed that lower velocity and high temperature of

water gives better heat transfer performance. Parallel configuration is selected for the best

configuration in this study.

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ABSTRAK

Penukar Haba Plat (Plate Heat Exchanger) adalah sejenis penukar haba yang menggunakan

plat logam untuk pemindahan haba antara dua cecair. Plat logam yang biasa digunakan

adalah keluli tahan karat (stainless steel) kerana keupayaannya untuk menahan suhu yang

tinggi, kekuatan dan ketahanan kakisan. Prinsip kerja asas adalah sangat mudah, laluan

yang membentuk antara plat dan kedudukan sudut disusun supaya kedua-dua aliran

bendalir melalui laluan yang ditetapkan. Haba dipindahkan melalui plat nipis antara

saluran, dan mewujudkan aliran bertentangan yang lengkap bagi mencapai kebarangkalian

kecekapan tertinggi. Tiada percampuran (intermixing) cecair atau kebocoran kepada

persekitaran akan berlaku kerana gasket di sekitar pinggir plat digunakan untuk meterai

unit. Objektif kajian ini adalah untuk mengkaji prestasi pemindahan haba penukar haba plat

untuk pemanasan diesel dengan air panas dan untuk mengenalpasti konfigurasi dan

parameter yang manakah memberikan hasil yang terbaik. Di samping itu, objektif kajian

adalah untuk mempelajari dan melakar pemindahan haba untuk penukar haba plat

menggunakan simulasi. Dinamik Bendalir Komputeran (CFD) adalah alat yang digunakan

dalam simulasi ini yang terdiri daripada GAMBIT dan FLUENT. Jumlah dagangan bersirat

(volume meshing) dalam GAMBIT adalah satu bahagian penting yang perlu

dipertimbangkan sebelum melakukan simulasi dalam FLUENT sebagai penyelesai.

Parameter yang telah digunakan ialah halaju dan suhu air. Halaju bagi kedua-dua diesel dan

air panas telah dikira menggunakan kadar aliran jisim (mass flow rate) 100L/min, 150 L /

min dan 200 L / min sebagai asas. Suhu air panas berbeza dari 60 ° C, 70 ° C dan 80 ° C.

Oleh itu, kertas kerja ini membentangkan simulasi pemindahan haba dalam plat model

penukar haba untuk konfigurasi selari dan siri. Adalah diperhatikan bahawa halaju yang

lebih rendah dan suhu air yang tinggi memberikan prestasi haba pemindahan yang lebih

baik. Konfigurasi selari dipilih sebagai konfigurasi terbaik dalam kajian ini.

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TABLE OF CONTENTS

Page

SUPERVISOR’S DECLARATION ii

STUDENTS’S DECLARATION iii

ACKNOWLEDGEMENTS iv

ABSTRACT v

ABSTRAK vi

TABLE OF CONTENTS vii

LIST OF TABLES x

LIST OF FIGURES xii

LIST OF APPENDICES xv

CHAPTER 1 INTRODUCTION

1.1 Background of Study

1.1.1 Plate Heat Exchanger

1.1.2 History of Plate Heat Exchanger

1.1.3 Heat Transfer

1

1

2

2

1.2 Problem Statement 3

1.3 Objectives 4

1.4 Scope of Study 4

CHAPTER 2 LITERATURE REVIEW

2.1 Introduction 5

2.2 Plate Heat Exchanger 6

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2.2.1 Performances of Plate Heat exchanger

2.2.2 Advantages and Disadvantages

2.2.3 Numerical Analysis for Co-Current

2.2.4 Experimental and Numerical Heat Transfer

2.2.5 Modeling with Generalized Configurations

2.2.6 Effectiveness Charts for Counter Flow Corrugated

2.2.7 Heat Transfer Fouling and Fluid Flow

2.2.8 Effect of Flow Arrangement on the Pressure Drop

2.2.9 Flow Patterns in the Entrance

2.2.10 Flow in an Oil/Water for the Automotive Industry

6

7

8

8

11

12

13

13

14

15

2.3 Diesel 16

2.4 Computational Fluid Dynamic (CFD)

2.4.1 Definition

2.4.2 History

2.4.3 Application

2.4.4 GAMBIT and FLUENT

16

17

17

18

18

CHAPTER 3 METHODOLOGY

3.1 Introduction 20

3.2 Heat Transfer Calculation

3.2.1 Thermal Properties

3.2.2 Characteristics of the Plates

3.3.3 Parameter Considerations

20

21

21

22

3.3 Computational Tools

3.3.1 CFD Modeling Overview

24

24

3.4 CFD Simulation Procedure

3.4.1 Geometry in GAMBIT

3.4.2 Physics Creation in GAMBIT

3.4.3 Mesh Generation in GAMBIT

25

25

26

28

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3.4.4 Simulation by FLUENT

3.4.5 Post Processing

29

32

CHAPTER 4 RESULTS AND DISCUSSION

4.1 Data Collection 33

4.2 Parallel Configuration

4.2.1 Comparison in Velocity at Temperature 60°C

4.2.2 Comparison in Temperature at Constant Velocity

35

35

42

4.3 Series Configuration

4.3.1 Comparison in Velocity at Temperature 60°C

4.3.2 Comparison in Temperature at Constant Velocity

49

50

56

4.4 Parallel versus Series 63

CHAPTER 5 CONCLUSION AND RECOMMENDATIONS

5.1 Conclusion 66

5.2 Recommendations

5.2.1 Parameter Calculation

5.2.2 Mesh Generation in GAMBIT

5.2.3 Numerical Diffusion

5.2.4 Unsteady State Solver

67

67

67

67

68

5.2.5 Validation of Results 68

REFERENCES 69

APPENDICES

A Plate Heat Exchanger Photo 72

B Simulated Results 73

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LIST OF TABLES

Table No. Title Page

3.1 Thermal Properties for Materials 21

3.2 Characteristics of the plates for this study 22

3.3 Calculation of parameter 22

3.4 Volume selection 27

3.5 Faces selection 27

3.6 Boundary condition setting in FLUENT 31

4.1 Parameter 33

4.2 Area Weighted Average Static Temperature for Set 1 37

4.3 Standard Deviation Static Temperature for Set 1 37

4.4 Area Weighted Average Static Temperature for Set 2 39

4.5 Standard Deviation Static Temperature for Set 2 39

4.6 Area Weighted Average Static Temperature for Set 3 41

4.7 Standard Deviation Static Temperature for Set 3 41

4.8 Area Weighted Average Static Temperature for set 1 at 60°C 44

4.9 Standard Deviation Static Temperature for set 1 at 60°C 44

4.10 Area Weighted Average Static Temperature for set 1 at 70°C 46

4.11 Standard Deviation Static Temperature for set 1 at 70°C 46

4.12 Area Weighted Average Static Temperature for set 1 at 80°C 48

4.13 Standard Deviation Static Temperature for set 1 at 80°C 48

4.14 Area Weighted Average Static Temperature for Set 1 51

4.15 Standard Deviation Static Temperature for Set 1 51

4.16 Area Weighted Average Static Temperature for Set 2 53

4.17 Standard Deviation Static Temperature for Set 2 53

4.18 Area Weighted Average Static Temperature for Set 3 55

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4.19 Standard Deviation Static Temperature for Set 3 55

4.20 Area Weighted Average Static Temperature for set 1 at 60°C 58

4.21 Standard Deviation Static Temperature for set 1 at 60°C 58

4.22 Area Weighted Average Static Temperature for set 1 at 70°C 60

4.23 Standard Deviation Static Temperature for set 1 at 70°C 60

4.24 Area Weighted Average Static Temperature for set 1 at 80°C 62

4.25 Standard Deviation Static Temperature for set 1 at 80°C 62

4.26 Area Weighted Average Static Temperature for set 1 at 80°C- parallel

and series

64

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LIST OF FIGURES

Figure No. Title Page

2.1 Flow Principle of Plate Heat Exchanger 6

2.2 (a) The plate pack of the PHE used in this study, (b) The CFD

representation of the fluid domain for series flow arrangement showing

a mesh detail

9

2.3 Expanded CFD representation and opened plate pack for (a) parallel

arrangement and (b) series arrangement

9

2.4 Midplane temperature distribution for the channels of a series flow

arrangement: 3D and 1D model results

10

2.5 Midplane velocity distribution for the channels of a series flow

arrangement: 3D and 1D model results

10

2.6 Temperature contours of 0.005 kg/s hot flow rate for various cold flow

rates

12

2.7 Flow and temperature distribution for distributor design C, G and H 13

2.8 Finest mesh implement using GAMBIT 15

2.9 Detail of computational mesh 16

3.1 Geometry of one plate 21

3.2 Arrangements of counter-current flows which is parallel and series 23

3.3 CFD Modeling Overview 24

3.4 GAMBIT Startup Window 25

3.5 Views of new geometry from XZ, XY, YZ plane and isometric 26

3.6 Entity zones of (a) parallel and (b) series configurations 27

3.7 Generating mesh for plate heat exchanger 28

3.8 Close view of plate heat exchanger meshing 29

3.9 k--ε turbulence model with standard wall functions 30

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3.10 Selection of materials in FLUENT 31

4.1 Location of x, y and z axis 34

4.2 Position for plotting heat transfer graph 34

4.3 Parallel configuration 35

4.4 Set 1 (a) hot flow part and (b) cold flow part 36

4.5 Graph of static temperature versus z-axis length at cold channel and

hot channel

37

4.6 Set 2 (a) hot flow part and (b) cold flow part 38

4.7 Graph of static temperature versus z-axis length at cold channel and

hot channel

39

4.8 Set 3 (a) hot flow part and (b) cold flow part 40

4.9 Graph of static temperature versus z-axis length at cold channel and

hot channel

41

4.10 60°C (a) hot flow part and (b) cold flow part 43

4.11 Graph of static temperature versus z-axis length at cold channel and

hot channel

44

4.12 70°C (a) hot flow part and (b) cold flow part 45

4.13 Graph of static temperature versus z-axis length at cold channel and

hot channel

46

4.14 80°C (a) hot flow part and (b) cold flow part 47

4.15 Graph of static temperature versus z-axis length at cold channel and

hot channel

48

4.16 Series configuration 49

4.17 Set 1 (a) hot flow part and (b) cold flow part 50

4.18 Graph of static temperature versus z-axis length at cold channel and

hot channel

52

4.19 Set 2 (a) hot flow part and (b) cold flow part 52

4.20 Graph of static temperature versus z-axis length at cold channel and

hot channel

54

4.21 Set 3 (a) hot flow part and (b) cold flow part 54

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4.22 Graph of static temperature versus z-axis length at cold channel and

hot channel

56

4.23 60°C (a) hot flow part and (b) cold flow part 57

4.24 Graph of static temperature versus z-axis length at cold channel and

hot channel

59

4.25 70°C (a) hot flow part and (b) cold flow part 59

4.26 Graph of static temperature versus z-axis length at cold channel and

hot channel

61

4.27 80°C (a) hot flow part and (b) cold flow part 61

4.28 Graph of static temperature versus z-axis length at cold channel and

hot channel

63

4.29 Graph of parallel versus series configurations for set 1 at 80°C –

parallel and series

64

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LIST OF APPENDICES

Figure Title Page

A1 Plate Heat Exchanger at FKKSA Laboratory 72

A2 Close look of plates 72

B1 Grid of sx and sy surfaces 73

B2 FLUENT calculation of outlet temperature 73

B3 FLUENT calculation of energy (unable to calculate) 74

B4 Contours of velocity 74

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CHAPTER 1

INTRODUCTION

1.1 BACKGROUND OF STUDY

A heat exchanger is a device which used to transfer thermal energy (enthalpy)

between two or more fluids, between a solid surface and a fluid, or between solid

particulates and a fluid, at different temperatures and in thermal contact. Plate heat

exchanger is one of the most common heat exchanger used in industries such as oil and

gas processing system because of its compactness, easy maintenance and good heat

transfer characteristics. As its name implies, this type of heat exchanger consists of a

series of thin, corrugated plates which are pressed together in a rigid frame to form an

arrangement of flow channels with alternating hot and cold fluids.

1.1.1 Plate Heat Exchanger

A plate heat exchanger is a type of heat exchanger which uses metal plates to

transfer heat between two fluids. The metal plates that commonly used are stainless

steel because of its ability to withstand high temperatures, its strength and its corrosion

resistance. The basic working principle is very simple though; the channels that formed

between the plates and corner ports are arranged so that the two fluid flows through

alternate channels. The heat is transferred through the thin plate between the channels,

and creating complete counter current flow for highest possible efficiency. No

intermixing of the fluid or leakage to the surroundings will occur as gaskets around the

edges of the plates seal the unit. The corrugation of the plates provides a suitable

passage between the plates, support of each plate against the adjacent one and a strong

turbulence resulting in maximum heat transfer efficiency.

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The plates provide each of the fluids with large heat transfer area because each

of the plates has a very large surface area. As a result a plate type heat exchanger

compared to a similarly sized of shell and tube heat exchanger, is capable of transferring

much more heat because of the larger area of the plates provides over tubes. Due to the

high heat transfer efficiency, plate type heat exchangers are usually very small when

compared to a shell and tube type heat exchanger but with the same heat transfer

capacity.

1.1.2 History of Plate Heat Exchanger

Based on document Plate and Frame Heat Exchanger (1986); Gary Hulbert

stated that the idea for designing plate heat exchanger was first developed by Dr.

Richard Seligman, the founder of the Aluminium Plant and Vessel Company Ltd in

1923. The company is now known worldwide as APV. Commercial development of the

plate heat exchanger resulted basically from the ability for high heat transfer rates at

low differential temperatures; which exactly the feature that makes the plate heat

exchanger so famous in geothermal applications. The original plate heat exchanger

consisted of cast gun metal plates enclosed in a frame which is similar to a filter press.

In the early 1930’s the introduction of pressed thin gauge stainless steel plates produced

a machine that has developed into modern plate and frame heat exchanger.

1.1.3 Heat Transfer

Heat transfer is a science that studies the energy transfer between two bodies due

to temperature difference. In theory, thermal energy is related to the kinetics energy of

molecules on a microscopic scale. When material’s temperature increases, the thermal

agitation of its constituent molecules will increase. Then the areas which contain greater

molecular kinetic energy will pass this energy to areas with less kinetic energy. So when

an object or fluid is at different temperature than its surroundings, the heat transfer will

occur in such a way that the body and the surroundings reach thermal equilibrium.

Generally there are three types of heat transfer which are conduction, convection

and radiation. Conduction is the transfer of heat within an object or between two objects

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in contact. Convection heat transfer occurs when a fluid (liquid or gas) comes in contact

with a material of a different temperature. For natural convection, it occurs when the

flow of a fluid is primarily due to density differences within the fluid due to cooling or

heating of that fluid. Meanwhile, forced convection occurs when the flow of fluid is

primarily due to pressure differences. Radiation is the transfer of heat from one object to

another by means of electro-magnetic waves. Radiation does not require objects to be in

contact or fluid flow between those objects, it occurs in the void of space (that’s how

the sun warms us). Transfer of thermal energy can also occur with any combination of

the three. In my study which relates to plate heat exchanger, it consists of heat transfer

by conduction and convection.

1.2 PROBLEM STATEMENT

Heat transfer is the most important parameter to be measured as the thermal

performance and heat transfer efficiency of the plate heat exchanger. As a comparison,

plate heat exchangers are competitive with shell and tube units because of high heat

transfer efficiency and attractive features even though built of costlier materials.

Besides that, many studies have been done using both experimental and numerical

analysis based on working fluid (water/water) which has small viscosity compared to

other types of fluid. In order to investigate more, fluid with higher viscosity should be

used to observe the outcome of heat transfer performance. By using CFD simulation,

the performance of plate heat exchanger can be optimized and at the same time, it can

reduce the operation cost and time when using experimental analysis.

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1.3 OBJECTIVES

The objectives of this study are:

(i) To study the heat transfer performance of plate heat exchanger for heating

diesel with hot water

(ii) To observe which configurations and parameters that gives the best results

(iii) To study and modeling the heat transfer of plate heat exchanger using CFD

simulation

1.4 SCOPES OF STUDY

In order to achieve the objectives above, there are five scopes of this study defined

which are:

(i) The working fluid used for this study are diesel and water

(ii) There are two parameters that will be the manipulated variables which are

temperature and velocity

(iii) Both parameters above will be investigated in term of their effect using two

kind of distinct configurations which is series and parallel; both counter-

current

(iv) The study concerned with turbulent flow regimes using k-ε equation

(v) The application of CFD simulation to model the heat transfer and to compare

which configuration is a better choice

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CHAPTER 2

LITERATURE REVIEW

2.1 INTRODUCTION

The purpose of this chapter is to provide a literature review of past research

effort such as journals or articles or documents related to heat transfer of plate heat

exchanger experimentally and numerically. In addition, review of other relevant

research studies are made to provide additional information in order to understand more

of this study.

2.2 PLATE HEAT EXCHANGER

Nowadays, plate heat exchangers are used widely as a better choice for higher

efficiency in thermal performance. As stated by H. Dardour, S. Mazouz, A. Bellagi,

(2009), in the majority of the industrial applications, the plate heat exchanger is the

design of choice because of its characteristics which are easy-to-maintain, compact

design, light weight and because of the many advantages it offers. Minimal

maintenance, cost effectiveness and especially high efficiency are the most important

criteria that are making studies on plate heat exchanger is a big challenge for researchers

to develop and produce plate heat exchanger achieving the best possible performance in

terms of efficiency and economical considerations.

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2.2.1 Performances of Plate Heat exchanger

Before this, plate type heat exchangers are not widely used because of the

inability to seal the large gaskets between each of the plates. Because of this problem,

plate type heat exchangers have only been used in small, low pressure applications.

Nevertheless, new improvements have been made in gasket design and overall heat

exchanger design to allow some large scale applications of the plate type heat

exchanger. As the developments arise, large plate type heat exchangers are replacing

shell and heat exchangers and becoming more common.

The PHE consists of a pack of gasketed corrugated metal plates, pressed

together in a frame. The gaskets on the corners of the plates form a series of parallel

flow channels, where the fluids flow alternately and exchange heat through the thin

metal plates. The number of plates, their perforation, the type and position of the

gaskets and the location of the inlet and outlet connections at the covers characterize the

PHE configuration, which further defines the flow distribution inside the plate pack.

The flow distribution can be parallel, series or any of their various possible

combinations. (Jorge A.W. Gut, Jose M. Pinto 2003). From Figure 2.1, it shows the

basic flow principle of plate heat exchanger in parallel.

Figure 2.1: Flow Principle of Plate Heat Exchanger

Source: Heat Exchanger Engineering Techniques book, Michael J. Nee

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Li Xiao-wei and Meng Ji-an and Li Zhi-xin stated that plates are the basic heat

transfer elements in plate heat exchangers, so the basic way to improve the performance

of plate heat exchangers is to improve the flow and heat transfer performance of the

plates. The best plates should have high heat transfer coefficients, low pressure drop and

high pressure endurance. In this study, the heat transfer performance will be

investigated for heating the diesel using hot water system. The best configurations will

be selected based on the heat transfer performance. The heating process is necessary to

maintain better flow ability of diesel in diesel engine. The flow ability of diesel will be

worse as soon as the temperature started to decrease because of the high viscosity of

diesel.

2.2.2 Advantages and Disadvantages

From Heat Exchanger Engineering Techniques, Michael J. Nee stated plate heat

exchangers are preferred over shell and tube heat exchangers in some applications. They

are well suited to counter flow construction, thus maximizing the Log Mean

Temperature Difference (LMTD) correction factor. Their construction minimizes the

need for welding. Plate heat exchangers often have a competitive advantage when the

available pressure drop is high (5 to 10 psi) and when most of it is used in selecting heat

exchanger. The reason is the plate heat exchanger is relatively short length of travel.

In the mean time, the turbulent flow inside will help to reduce deposits which

would interfere with heat transfer. Its pluses are that it occupies high heat transfer

efficiency, less space, simple in maintenance and easily cleaned on both streams. Plate

heat exchanger required no extra space for dismantling and its capacity can be increased

by introducing plates in pairs. Therefore, when corrosion is an issue, the plate heat

exchangers have more advantage because it is manufactured with stainless steel. Due to

the plate thicknesses are thinner resulting in a decrease in metal resistance. Besides that,

the herringbone shape breaks up any laminar or transition flow component present thus

acting like a turbulator. The conditions are additive in improving the heat transfer rate.

Moreover, these pluses can and often occur on both streams.

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On the other hand, there are also several disadvantages of plate heat exchangers;

the main objection is the possibility of leakage. Plate heat exchangers are not available

with extended surface other than that of stretching occurs in the stamping process. They

are not recommended when fluid particles are larger in diameter than the stamped depth

of the plates. The pressure and temperature limits are low when compared to shell and

tube units, roughly 400 psi and 375°F. Besides that, plate heat exchangers are not

readily adaptable to low pressure vapor or gas. In general, the plate heat exchangers are

less efficient in high fouling services and made from costlier materials.

2.2.3 Numerical Analysis for Co-Current

H. Dardour, S. Mazouz, A. Bellagi, (2009) presented an analysis paper of co-

current plate heat exchanger and its numerical simulation results. From known data

which are the hot and cold fluid streams inlet temperatures, heat capacities and overall

heat transfer coefficients, a 1-D mathematical model based on the steady flow energy

balance for a differential length of the device is developed resulting in a set of N first

order differential equations with boundary conditions where N is the number of

channels.

For specific heat exchanger geometry and operational parameter, the problem is

numerically solved using the shooting method. This simulation allows the prediction of

the temperature map in the heat exchanger and the evaluation of its performances. A

parametric analysis is performed to evaluate the influence of the R-parameter on the ε-

NTU values. For practical purposes, the effectiveness-NTU graphs are elaborated for

specific heat exchanger geometry and different operating conditions.

2.2.4 Experimental and Numerical Heat Transfer

Flavio C.C. Galeazzo, Raquel Y. Miura, Jorge A.W. Gut, Carmen C. Tadini,

(2006) studied a four-channel plate heat exchanger developed by using CFD as shown

in Figure 2.2 and Figure 2.3. There were two kinds of arrangements that have been

tested which are parallel and series, both counter-currents. From Figure 2.4 and Figure

2.5, the distributions are shown in term of temperature and velocity, which lead to

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comparison between numerical predictions and experimental results for heat load

obtained from 1D plug-flow model and 3D CFD model. The experimental procedure

was conducted using water as working fluid on hot and cold sides of plate heat

exchanger.

Figure 2.2: (a) The plate pack of the PHE used in this study, (b) The CFD

representation of the fluid domain for series flow arrangement showing a mesh detail

Source: Flavio C.C. Galeazzo, Raquel Y. Miura, Jorge A.W. Gut, Carmen C. Tadini,

(2006)

Figure 2.3: Expanded CFD representation and opened plate pack for (a) parallel

arrangement and (b) series arrangement

Source: Flavio C.C. Galeazzo, Raquel Y. Miura, Jorge A.W. Gut, Carmen C. Tadini,

(2006)

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Figure 2.4: Midplane temperature distribution for the channels of a series flow

arrangement: 3D and 1D model results

Source: Flavio C.C. Galeazzo, Raquel Y. Miura, Jorge A.W. Gut, Carmen C. Tadini,

(2006)

Figure 2.5: Midplane velocity distribution for the channels of a series flow

arrangement: 3D and 1D model results

Source: Flavio C.C. Galeazzo, Raquel Y. Miura, Jorge A.W. Gut, Carmen C. Tadini,

(2006)

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For CFD part, the sensitivity of the simulation to the turbulence modeling was

investigated and solved using laminar flow model, k-ε turbulence model with wall

functions and the k-ε turbulence model with enhanced wall treatment. Most flow inside

the exchanger was verified as laminar; however there were turbulent regions especially

near the plate ports. In order to correctly model the flow and heat transfer, the k-ε

turbulence model with enhanced wall treatment model was preferred and have way

better agreement with the experimental results.

2.2.5 Modeling with Generalized Configurations

S.G. Kandlikar and R.K. Shah (1989) developed a method to calculate an

approximate thermal effectiveness for large exchangers, where the effects of the end

plates and the changes of passes are less significant and thus can be neglected. The

analytical solution of the system of equations in matrix form was studied by T. Zaleski

and A.B. Jarzebski (1973) for exchangers with series and parallel flow arrangements.

Since this solution for the method may lead to numerical problems on the calculation, it

is not recommended to exchangers with large number of channels. S.G. Kandlikar and

R.K. Shah (1989) and M.C. Georgiadis and S. Macchietto (2000) has used the finite

difference method for the simulation of plate heat exchangers. They have simulated and

compared using several configurations. Then it was verified that higher effectiveness is

achieved when the exchanger is symmetrical (both streams with the same number of

passes) with the passes arranged for counter current flow in the channels. The same

results were obtained by T. Zaleski and K. Klepacka (1992) when analyzing the thermal

effectiveness of various plate heat exchanger configurations.

Jorge A.W. Gut and Jose M. Pinto (2003) presented a plate heat exchanger

modeling framework that is suitable for any configuration. The purpose of developing

the model is to study the influence of the configuration on the exchanger performance.

The study for variation of the overall heat transfer coefficient throughout the exchanger

with respect to the assumption of a constant value is also investigated. The

mathematical modeling of a plate heat exchanger is developed in algorithmic form.

Finally a simulation example is shown, where the effect of the assumption of constant

overall heat transfer coefficient is analyzed.

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2.2.6 Effectiveness Charts for Counter Flow Corrugated

Harika Sammeta, Kalaichelvi Ponnusamy, M.A. Majid. K. Dheenathayalan,

(2011) prepared analysis charts for 9-plate counter flow corrugated plate heat exchanger

which is modeled and simulated using CFD. The performance of the plate heat

exchanger is analyzed using the obtained simulated data in the form of charts such as

effectiveness, ε versus number of transfer units, NTU at constant capacity ratio, R and

so on. The problem was numerically solved using the finite volume method with

FLUENT and Figure 2.6 shows how the results of temperature contours looks like.

From this paper, it is observed that the temperature difference for counter flow agrees

with the fundamental concepts of counter flow heat exchangers.

Figure 2.6: Temperature contours of 0.005 kg/s hot flow rate for various cold flow rates

Source: Harika Sammeta, Kalaichelvi Ponnusamy, M.A. Majid. K. Dheenathayalan,

(2011)

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2.2.7 Heat Transfer Fouling and Fluid Flow

Kho and Müller-Steinhagen (1999) investigated the effect of flow distribution

inside the channel of a plate heat exchanger with flat plates. CFD simulations were

performed using CFX (ANSYS, Canonsburg, USA). Different distributors were tested

numerically for obtaining a more homogeneous flow distribution and thus reducing

fouling. The geometry of the channel was modeled with grid of 45,000 elements using

the k-ε turbulence model. The plate wall temperature was specified as boundary

condition and flow and heat transfer were simulated for incompressible flow under

steady state conditions. As shown in Figure 2.7, the results of contours are obtained by

using four different kinds of distributions.

Figure 2.7: Flow and temperature distribution for distributor design C, G and H

Source: Kho and Müller-Steinhagen (1999)

2.2.8 Effect of Flow Arrangement on the Pressure Drop

The pumping power is an important constraint for the design of plate heat

exchanger which is proportional to the pressure drop. Moreover, plate heat exchangers

have pressure limitations due to the extensive use of gaskets; thus, the maximum

pressure is also a design constraint that depends on the pressure drop. This investigation

has been done by Raquel Y. Miura, Flavio C.C. Galeazzo, Carmen C. Tadini, Jorge

A.W. Gut (2008) in order to study the effect of flow arrangement on the pressure drop.