NUMERICAL INVESTIGAT ION OF HEAT TRANSFER · PDF file... Plate Heat Exchanger, Corrugated...

17
http://www.iaeme.com/IJME International Journal of Mecha Volume 8, Issue 5, May 2017, pp Available online at http://www.ia ISSN Print: 0976-6340 and ISSN © IAEME Publication NUMERICA TRANSFER HEAT EXC TYPES D.V.S Department of Mechani ABSTRACT Numerical investigatio flow chevron corrugated p and water as cold fluid w this paper using commerc simulation were compared the model. CFD simulatio plate material increases th 718 and it also shows tha vortices of fluid which resu Key Words: Plate Heat Ex Cite this Article: D.V.Sai of Heat Transfer and Fluid Plate Materials. Internatio 8(5), 2017, pp. 621–637. http://www.iaeme.com/IJM 1. INTRODUCTION The plate heat exchanger cons passage of the two fluids be KumarTiwari [1] and also th movable pressure plate and determined by the flow rate, p program. The plate corrugati differential pressure. It is des surface of the alternate plates plates, hot fluid in the second on one side of the plate and h thin having corrugations heat ET/index.asp 621 ed anical Engineering and Technology (IJMET) p. 621–637, Article ID: IJMET_08_05_068 aeme.com/IJMET/issues.asp?JType=IJMET&VTyp N Online: 0976-6359 Scopus Indexed AL INVESTIGATION OF R AND FLUID FLOW IN CHANGER WITH DIFFE S OF PLATE MATERIAL Sai Teja and Dr Y.V.Hanumantha Rao ical Engineering KL University,Vaddeswaram on of heat transfer and fluid flow in a sing platesplate heat exchanger considering metha with different types of plate materials has be cial CFD software, ANSYS Fluent. The resul d with experimental data in order to verify t ons and Numerical analysis shows that usin he heat transfer rate comparing to Aluminiu at corrugation pattern of the plate develops ults in high heat transfer rates. xchanger, Corrugated pattern, CFD Analysis. i Teja and Dr Y.V.Hanumantha Rao Numeric d Flow in Plate Heat Exchanger With Differen onal Journal of Mechanical Engineering and T MET/issues.asp?JType=IJMET&VType=8&I sists of a pack of corrugated metal plates wi etween which heat transfer will take place he plate pack is assembled between a fix compressed by tightening bolts. The nu physical properties of the fluids, pressure dro ions promote fluid turbulence and support signed in such a way that cold fluid and hot s that is cold fluid flows of in the first colum column, cold fluid in third column e.tc., so th hot fluid on the other side of the same plate transfer takes place between the two fluids. [email protected] pe=8&IType=5 HEAT PLATE ERENT LS m, AP, India. gle pass counter anol as hot fluid een presented in lts of numerical the accuracy of ng of Copper as um and Inconel- turbulence and . cal Investigation nt Types of Technology, IType=5 ith portholes for the as given by Arun frame plate and a umber of plates is op and temperature the plates against t fluid flows on the mn between the two hat cold fluid flows as the plate is very . Here the model is

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International Journal of Mechanical Engineering and Technology (IJMET)Volume 8, Issue 5, May 2017, pp.

Available online at http://www.iaeme.com/IJME

ISSN Print: 0976-6340 and ISSN Online: 0976

© IAEME Publication

NUMERICAL INVESTIGAT

TRANSFER AND FLUID FL

HEAT EXC

TYPES OF PLATE MAT

D.V.Sai Teja and Dr Y.V.Hanumantha Rao

Department of Mechanical Engineering KL

ABSTRACT

Numerical investigation of heat transfer and fluid flow in a single pass counter

flow chevron corrugated platesplate heat exchanger considering methanol as hot fluid

and water as cold fluid with different types

this paper using commercial CFD software, ANSYS Fluent. The results of numerical

simulation were compared with experimental data in order to verify the accuracy of

the model. CFD simulations

plate material increases the heat transfer rate comparing to Aluminium and Inconel

718 and it also shows that corrugation pattern of the plate develops turbulence and

vortices of fluid which results in high heat transfer rates.

Key Words: Plate Heat Exchanger, Corrugated pattern, CFD Analysis

Cite this Article: D.V.Sai Teja and Dr Y.V.Hanumantha Rao Numerical Investigation

of Heat Transfer and Fluid Flow in Plate Heat Exchanger With Different Types of

Plate Materials. International Jour

8(5), 2017, pp. 621–637.

http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=8&IType=5

1. INTRODUCTION

The plate heat exchanger consists of a pack of corrugated metal plates with portholes for the

passage of the two fluids between which heat transfer will take place

KumarTiwari [1] and also the plate pack is assembled between a fix frame plate and a

movable pressure plate and compressed by tightening bolts. The number of plates is

determined by the flow rate, physical properties of the fluids, pressure drop and temperature

program. The plate corrugations promote fluid turbulence and support the plates against

differential pressure. It is designed in such a way that cold fluid and hot fluid fl

surface of the alternate plates that is cold fluid flows of in the first column between the two

plates, hot fluid in the second column, cold fluid in third column e.tc., so that cold fluid flows

on one side of the plate and hot fluid on the othe

thin having corrugations heat transfer takes place between the two fluids. Here the model is

IJMET/index.asp 621 [email protected]

International Journal of Mechanical Engineering and Technology (IJMET) 2017, pp. 621–637, Article ID: IJMET_08_05_068

http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=8&IType=5

N Online: 0976-6359

Scopus Indexed

UMERICAL INVESTIGATION OF HEAT

RANSFER AND FLUID FLOW IN PLATE

HEAT EXCHANGER WITH DIFFEREN

TYPES OF PLATE MATERIALS

D.V.Sai Teja and Dr Y.V.Hanumantha Rao

Department of Mechanical Engineering KL University,Vaddeswaram, AP, India.

Numerical investigation of heat transfer and fluid flow in a single pass counter

flow chevron corrugated platesplate heat exchanger considering methanol as hot fluid

and water as cold fluid with different types of plate materials has been presented in

this paper using commercial CFD software, ANSYS Fluent. The results of numerical

simulation were compared with experimental data in order to verify the accuracy of

the model. CFD simulations and Numerical analysis shows that using of Copper as

plate material increases the heat transfer rate comparing to Aluminium and Inconel

718 and it also shows that corrugation pattern of the plate develops turbulence and

vortices of fluid which results in high heat transfer rates.

Plate Heat Exchanger, Corrugated pattern, CFD Analysis.

D.V.Sai Teja and Dr Y.V.Hanumantha Rao Numerical Investigation

of Heat Transfer and Fluid Flow in Plate Heat Exchanger With Different Types of

International Journal of Mechanical Engineering and Technology

com/IJMET/issues.asp?JType=IJMET&VType=8&IType=5

The plate heat exchanger consists of a pack of corrugated metal plates with portholes for the

f the two fluids between which heat transfer will take place

the plate pack is assembled between a fix frame plate and a

movable pressure plate and compressed by tightening bolts. The number of plates is

by the flow rate, physical properties of the fluids, pressure drop and temperature

program. The plate corrugations promote fluid turbulence and support the plates against

differential pressure. It is designed in such a way that cold fluid and hot fluid fl

surface of the alternate plates that is cold fluid flows of in the first column between the two

plates, hot fluid in the second column, cold fluid in third column e.tc., so that cold fluid flows

on one side of the plate and hot fluid on the other side of the same plate as the plate is very

thin having corrugations heat transfer takes place between the two fluids. Here the model is

[email protected]

T&VType=8&IType=5

ION OF HEAT

OW IN PLATE

HANGER WITH DIFFERENT

ERIALS

Vaddeswaram, AP, India.

Numerical investigation of heat transfer and fluid flow in a single pass counter

flow chevron corrugated platesplate heat exchanger considering methanol as hot fluid

of plate materials has been presented in

this paper using commercial CFD software, ANSYS Fluent. The results of numerical

simulation were compared with experimental data in order to verify the accuracy of

hows that using of Copper as

plate material increases the heat transfer rate comparing to Aluminium and Inconel-

718 and it also shows that corrugation pattern of the plate develops turbulence and

.

D.V.Sai Teja and Dr Y.V.Hanumantha Rao Numerical Investigation

of Heat Transfer and Fluid Flow in Plate Heat Exchanger With Different Types of

nal of Mechanical Engineering and Technology,

com/IJMET/issues.asp?JType=IJMET&VType=8&IType=5

The plate heat exchanger consists of a pack of corrugated metal plates with portholes for the

as given by Arun

the plate pack is assembled between a fix frame plate and a

movable pressure plate and compressed by tightening bolts. The number of plates is

by the flow rate, physical properties of the fluids, pressure drop and temperature

program. The plate corrugations promote fluid turbulence and support the plates against

differential pressure. It is designed in such a way that cold fluid and hot fluid flows on the

surface of the alternate plates that is cold fluid flows of in the first column between the two

plates, hot fluid in the second column, cold fluid in third column e.tc., so that cold fluid flows

r side of the same plate as the plate is very

thin having corrugations heat transfer takes place between the two fluids. Here the model is

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made in CATIA and CFD Simulation is used to investigate the heat transfer and fluid flow in

PHE with only one plate. Computational Fluid Dynamics (CFD) is the science of predicting

fluid flow, heat and mass transfer, chemical reactions, and related phenomena by solving

numerically the set of governing mathematical equations which is stated in the ANSYS

training module in second slide [2]

2. LITERATURE REVIEW

A laboratory experimental facility was constructed and the thermal-hydraulic characteristics

of three middle-size industrial PHE’s were measured. The exchangers all had 24 plates of the

same size but with different chevron angle combinations of 28°/28°, 28°/60°, and 60°/60°.

Two sets of tests were carried out with the three units: single-phase performance tests with

water, and evaporator performance tests with R134a and R507A, for which the exchangers

operated as refrigerant liquid over-feed evaporators. The tests with water served to provide

accurate water-side heat transfer information for the evaporator performance analysis which is

the primary purpose of this study. In the evaporator performance tests, refrigerant flow boiling

heat transfer and two-phase pressure drop data were obtained under steady conditions, over a

range of heat flux from 1.9 to 6.9 kW/m2, refrigerant mass flux from 5.6 to 31.4 (kg/m

2s),

outlet vapour quality from 0.2 to 0/95, and saturation temperatures from 5.9 to 13.0 °C which

are taken from Performance analysis of plate heat exchangers used as Refrigerant evaporators:

by jianchang huang[3]

Additional field data of thermal performance were collected on an ammonia and a R12

PHE water chiller, operating as thermo-siphon evaporators at their design working conditions.

Heat Transfer Analysis of Corrugated Plate Heat Exchanger of Different Plate Geometry: A

Review By: Jogi Nikhil G, Assist. Prof. Lawankar Shailendra[4]

Corrugated plate heat exchangers have larger heat transfer surface area and increased

turbulence level due to the corrugations. In this study, experimental heat transfer data will

obtained for single phase flow (water-to-water) configurations in a corrugated plate heat

exchanger for symmetric 45°/45°, 45°/75° chevron angle plates. The effect of variation of

chevron angles with other geometric parameter on the heat transfer coefficient will be study.

Reynold number ranging from 500 to 2500 and Prandtl number ranging from 3.5 to 6.5 will

be taken for given experiment. Based on the experimental data, a correlation will estimate for

Nusselt number as a function of Reynolds number, Prandtl number and chevron angle as said

in Design and Cost Optimization of Plate Heat Exchanger By Sreejith K, Basil Varghese,

Deepak Das, Delvin Devassy, Hari Krishnan K, Sharath G.[5]

When the application is within the pressure and temperature limits of both designs, the

selection process should focus on initial cost, maintenance requirements, and future operating

conditions. The advantages of using PHE were investigated experimentally. The main

conclusions are listed as follows by sreejith k[5]:

• A plate costs approximately Rs 3750. So the newly designed plate heat exchanger will

cost approximately

• Rs 405000 which can replace the present two heat exchangers which together cost Rs

560000.

• This leads to great reduction in space and cost without affecting the heat will transfer

efficiency.

• Initial cost is generally a function of approach temperature. Close approach temperatures

temperature crosses favour the plate and frame heat exchanger while wide temperature

approaches favour the shell and tube design.

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• When considering the maintenance costs, the determining factor should be the properties

of fluid involve. When the fluid has a gr-eater tendency to foul, the plate and frame design

offer easier access to heat transfer surface for cleaning. In addition, because of high

turbulence, plate type heat exchangers have less of a tendency to scale or foul when

compared to a shell and tube design.

• If your application requires a high probability against leakage, the better choice is shell

and tube design. While the gasket is a weakness in the plate and frame design, the ability

to expand or reduce the thermal capacity by adding or reducing plate s is a major

advantage for the plate and frame heat exchanger. If you think the application may be

expanded in the future, a plate heat exchanger is far the easiest and the most economical

design.

In the present numerical study, the heat transfer performance and fluid flow characteristics

of various Nano fluids flowing in a counter flow PHE have been presented. The corrugated

chevron PHE has been simulated, and the 3-D temperature and velocity fields have been

obtained through numerical simulation. CFD based analysis has been used by considering

Nano fluids as homogeneous mixture. Numerical investigation of heat transfer and fluid flow

in plate heat Exchanger using Nano fluids By Arun Kumar Tiwari, Pradyumna Ghosh, Jahar

Sarkar, Harshit Dahiya , Jigar Parekh[1]

Compact heat exchangers are most widely used for heat transfer applications in industries.

Plate heat exchanger is one such compact heat exchanger, provides more area for heat transfer

between two fluids in comparison with shell and tube heat exchanger. The present work deals

with experimental heat transfer data performed on plate type heat exchanger which is used in

hydraulic cooling system in an industry. The heat exchanger used for carrying out this work

consists of thin metal welded plates of stainless steel with 0.5mm thickness; distance between

two plates is 5mm, chevron angle 60° and Counter flow arrangement.

The total heat transfer area is 161.62 m2. This consists of total 249 numbers of plates and

it is designed to withstand with 65°C temperature with a flow rate of 64751 kg/h and cold

fluid enters with a flow rate of 82366 kg/h at 35°C and leaves at 44.29°C, pressure drop is

neglected. The inlet and outlet temperatures of cold and hot fluids are been observed and with

that conditions performance evaluation is done. Based on the experimental data, a correlation

will estimate for Nusselt number as a function of Reynolds number, Prandtl number and

chevron angle and the outputs obtained are convective heat transfer coefficient, overall heat

transfer coefficient, and exchanger effectiveness. From the obtained results, graphs are drawn

to assess the performance of the Gasketed Plate heat exchanger. Heat Transfer Analysis of

Gasketed Plate Heat Exchanger: By: G.Anusha, P.S.Kishore[6]

1. Geometry:

Figure 1 CATIA model of plate heat exchanger with one plate Figure 2 After patterning to three plates

in Design modeller

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Figure 3

Above Figure 1 for simulation. Figure 2

shows the model after extracting fluid domain and deleting the outer plates. Hence our model

contains one plate and two fluid domains hot fluid and cold fluid on either side of the plate

with geometry given in table: 1

2. Meshing:

1

Figure 4 M

Figure 4 shows the mesh quality as we maintained to value of skewness below 0.8 and

number of elements to 72, 47,019 Name selection have to be done to indicate the boundary

L

Width

Thickness

Diameter of Inlet/Outlet

Numerical Investigation of Heat Transfer and Fluid Flow in Plate Heat Exchanger With Different Types of

Plate Materials

IJMET/index.asp 624 [email protected]

Figure 3 After extracting fluid domain

simulation. Figure 2 model after patterning to three p

shows the model after extracting fluid domain and deleting the outer plates. Hence our model

contains one plate and two fluid domains hot fluid and cold fluid on either side of the plate

with geometry given in table: 1

Table 1 Geometry

Meshed body showing mid plate and fluid domain

Figure 4 shows the mesh quality as we maintained to value of skewness below 0.8 and

47,019 Name selection have to be done to indicate the boundary

Length 192mm

Width 74mm

Thickness 0.75mm

Diameter of Inlet/Outlet 18mm

Numerical Investigation of Heat Transfer and Fluid Flow in Plate Heat Exchanger With Different Types of

[email protected]

model after patterning to three pates and figure 3

shows the model after extracting fluid domain and deleting the outer plates. Hence our model

contains one plate and two fluid domains hot fluid and cold fluid on either side of the plate

eshed body showing mid plate and fluid domain

Figure 4 shows the mesh quality as we maintained to value of skewness below 0.8 and

47,019 Name selection have to be done to indicate the boundary

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conditions in fluent solver, here we have 8 named selections as two inlets and two outlets that

is for hot fluid and cold fluid respectively and four interface surfaces hot and cold surfaces of

the plate, hot and cold surfaces of fluid domains.[8]

3. NUMERICAL SIMULATION

Finite volume discretisation approach were used from fluent commercial ANSYS software

realisable k-ε model{eq. (1)& eq. (2)} were chosen after calculating the Reynolds’s Number

for used hydraulic diameter. We choose the materials according to their properties as we

required given in the table 2. Boundary conditions used are given below in the table 3 [7],[8]

�(��)�� + �

�� ���� = ��� ��� + ��

��� ����� + �� + �� − �� − �� + �� (1)

�(��)�� + �

�� ���� = ��� ��� + ��

��� ����� + ����� − ��� ����√ �+ ��� ���!��� + �� (2)

Where,

�� = �"�(#. %!, ''�() , ' = � �

� , � = √��)�) TABLE 2 Properties of materials and fluids

Material Density

kg/m^3

Specific Heat

j/kg-K

Thermal Conductivity

w/m-K

Aluminium 2719 871 202.4

Copper 8978 381 387.6

Inconel-718 8220 435 11.4

Methanol 785 2534 0.2022

Water 998.2 4182 0.6

Table 3 Boundary conditions

Boundary Type Magnitude

Hot Fluid mass flow inlet 0.2 kg/s

Cold Fluid mass flow inlet 0.2 kg/s

Hot fluid inlet temperature 368 K

Cold fluid inlet temperature 288 K

Hot/Cold fluid outlet pressure 0 Pa

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4. RESULTS AND DISCUSSION

Temperature distribution

Figure 5 Cold side temperature distribution on Cu, Al, and Inconel-718 plates

Figure 6. Hot side temperature distribution on Cu, Al, and Inconel-718 plates

Cu Al Inconel-718

plate

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The above figure 5 and figure 6 shows the Temperature distribution on the plates Cu, Al,

and Inconel- 718 plates from cold side and hot side respectively. That there is no much

bigger difference between the temperature distribution on copper and aluminum plates. As

Copper and aluminum are good conductors of heat. Their temperature distributions on cold

side of the plate and hot side of the plate are almost same.

It is observed that very less heat is transferred from the hot fluid to cold fluid through

Inconel plate when compared to Copper and Aluminum plates. Because, Inconel has very less

thermal conductivity that is 11.14 w/m-k whereas Copper and Aluminum has 387.6 w/m-k

and 202.4 w/m-k respectively.

The Figure 7 shows the variation of temperature on Copper, Aluminium and Inconel

plates on a symmetric plane. It is observed that very less temerature variation on the Inconel

plate compared to Copper and Aluminium plates.

Figure 7 Temperature distribution on the surface of Cu, Al, Inconel plates on a symmetric plane

The Figure 8 and figure 9 shows the Temperature distribution on a vortex generated

surface[9] of Cu, Al, and Inconel-718 plate from cold fluid side and hot fluid side respectively

As the vortex surface which we generated disturb the flow as result turbulence increases the

turbulence in the flow increases the heat transfer rate from the hot fluid to cold fluid. Finally

the cold fluid gains the more heat from the hot fluid because of this vortex surface. These

vortex generated surfaces are mainly used to enhance heat transfer rate where the convective

heat transfer coefficients are relatively lesser.

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Vortex Generated Surface Based Temperature Plot on Cold Side of the Plate

Figure 8 Temperature distribution on Vortex generated surface of Cu, Al and Inconel-718 plates from

cold fluid side

Vortex Generated Surface Based Temperature Plot on Hot Side of the Plate:

Figure 9 Temperature distribution on Vortex generated surface of Cu, Al and Inconel-718

plates from hot fluid side.

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Table 4 Temperature values at outlet and inlets of different materials

Boundary Copper Plate Aluminium Plate Inconel Plate

Cold Fluid Inlet 288K 288K 288K

Cold Fluid Outlet 296.328 293.879 291.582

Hot Fluid Inlet 368K 368K 368K

Hot Fluid Outlet 360.685 361.187 362.315

The above table 4 shows the temperature at the outlet of cold fluids numerically we can

understand that maximum heat transfer occurs in coper plate and temperature of outlet gained

is high for it comparing to other materials (Al, Inconel-718)for copper plate among three

because of its high thermal conductivity and low for the Inconel plate.

Whereas Aluminum plate stands in between them. Based on the cold fluid outlet

temperature we can understand that copper plate gives the more heat to cold fluid and

increases its outlet temperature.

Pressure distribution:

Figure 10 Water side pressure distribution cu, al, Inconel plates

Pressure distribution[10] contours shows the variation of pressure at different locations on

the plate. The above Figure 10 shows the pressure distribution on cold side on Aluminum,

Copper and Inconel plates respectively. It is observed that the maximum pressure at the inlet

on the aluminum plate and copper plates is 0.94 bar where as on the Inconel plate it is 1 bar

and it is dropped to very less values at the outlet on all the plates. The below figure11 shows

pressure Distribution on hot side on Copper, Aluminum and Inconel-718 respectively.

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VELOCITY DISTRIBUTION

Figure 12 Stream lines of velocity on copper, aluminium, Inconel

Figure 11 Pressure Distribution on Cu Al and Inconel plates on hot side

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Stream lines of velocity shows the magnitude of velocity at different locations on the plate

Figure 12 shows the variation of velocity on aluminum, copper and Inconel plates

respectively. It is observed that the maximum magnitude of velocity is almost equal on all the

three plates as shown in the figures.

The figures 13, 14 shows the variation of temperature along the length of the plate for hot

and cold fluid respectively. We are noticed that copper is having high thermal conductivity of

387.6 w/m-k. Because of this, the plate with copper material possess high heat transfer rate

from hot fluid to cold fluid. Whereas, the plate with Inconel-718 having less thermal

conductivity of 11.4 w/m-k material possess less heat transfer rate from hot fluid to cold fluid

While the plate with the material Aluminum having the thermal conductivity of the order

of 202.4 w/m-k. As a result the plate with Aluminum as material possess the heat transfer in

the range between the Copper plate and Inconel-718 plate.

Figure 13 Temperature distribution along the length on plate of the hot fluid side

360

361

362

363

364

365

366

367

368

369

-0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1 0.12

Te

mp

era

ture

, (K

)

Length along flow direction, (m)

Cu_hot_side Al_Hot_Side Inc-718_Hot_Side

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Figure 14 Temperature distribution along the length on plate of the cold fluid side

5. NUMERICAL ANALYSIS

The Table 5 and Table 6 shows the Non-Dimensional numbers like Reynold’s number(Re),

Nusselt number(Nu) and Biot number(Bi) for hot fluid and Cold fluid respectively. [11].In this

case we use the Corrugated plate which promote the turbulence in both the fluids. Later we

calculate the Reynolds number (Re), Nusselt number (Nu) and Biot number (Bi) from the

following Empirical relations .The Prandtl number (pr) of both the Fluids are taken from Heat

and Mass Transfer Data Book [12]

Re =

*.+,-./0 (3)

12 = 3.66 + 5.66789:�5.5;89<= (4)

Where Graetz Number (GZ) is defined as

GZ = Re.Pr.+>? (5)

287.5

288

288.5

289

289.5

290

290.5

291

291.5

292

292.5

293

-0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08 0.1

Te

mp

era

ture

, (K

)

Length along the flow, (m)

Cu_Cold_Side Al_Cold_Side Inc-718_Cold_Side

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Table 5 Non- Dimensional numbers of Hot Fluid with varying Mass flow rate

S.NO

Mass flow

rate

(Kg/sec)

Velocity

(M/sec.)

Reynold’s

Number

Nusselt

Number

Heat

transfer

coefficient

(W/m2k)

Biot number

AL CU IN-718

1 0.2 0.00876 30852.7705 133.9142 141.0283 0.1337 0.0698 2.3752

2 0.3 0.01331 46279.1558 158.5286 166.9504 0.1583 0.0826 2.8117

3 0.4 0.01775 61705.5411 179.1730 188.6915 0.1789 0.0934 3.177

4 0.5 0.02219 77131.9264 198.8034 209.3648 0.1986 0.1037 3.5261

5 0.6 0.02662 92558.3117 214.0003 225.3690 0.2137 0.1116 3.7956

6 0.7 0.03106 107984.6970 227.5131 239.59979 0.2272 0.1185 4.0353

Table 6 Non-Dimensional numbers of Cold Fluid with varying Mass flow rate

S.NO

Mass

flow rate

(Kg/sec.)

Velocity

(M/sec.)

Reynold’s

Number

Nusselt

Number

Heat transfer

coefficient

(W/m2k)

Biot number

AL CU IN-718

1 0.2 0.00698 186928.2915 290.5908 908.0962 0.8614 0.4498 15.2942

2 0.3 0.01047 280392.4373 337.5273 1054.7728 1.0005 0.5224 17.7645

3 0.4 0.01396 373856.583 374.5660 1170.5187 1.1103 0.5798 19.7139

4 0.5 0.01745 467320.7288 405.6651 1267.7034 1.2025 0.6279 21.3507

5 0.6 0.02094 560784.8745 432.7382 1352.3068 1.2828 0.6698 22.7756

6 0.7 0.02443 654249.0203 456.8725 1427.7265 1.3543 0.7072 24.0459

Finally we calculate the Biot number which relate the Thermal Conductivity of Metal that

involved in Heat transfer

Bi =>?

@ABCDEGCHI, (6)

AS we know that Biot number is defined as the ratio of the internal conductive resistance

offered by the Metal to the External Convective resistance offered by the fluid. Hence the

Value of Biot number represents the resistance to Heat conduction indirectly as we keeping

the same fluids properties throughout the process. The plate with Inconel-718 as material

offers high Biot number and increases with mass flow rate. As Biot number is high then

resistance to conduct heat through the plate is also high so the heat transfer rate through the

Inconel-718 plate is very less as compared to other two metal plates .While the values of Biot

number for the Copper Plate are very small, so the heat transfer rate through the Copper plate

is very high and gives high performance in heat transfer than the two metal plates. The

Aluminum plate offers the Biot number values in between the Copper and Inconel-718 Plates

and it stands in between them in heat transfer rate also.

The following Figures 15 and 16 shows the Variation of Biot number with Mass flow rate

for Hot and Cold Fluids respectively. The Biot number variation with mass flow rate is very

high for the Inconel-718 Plate as Compared to Aluminum and Copper Plates.

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Plate Materials

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Hence from the above numerical calculations we proved that the Copper as plate Material

Enhances the Heat Transfer rate and it gives better Performance than the Al and Inconel-718

plates. We proved that Copper plate Possess the high heat transfer rate through CFD as well

as through numerical Calculations than Al and Inconel-718 plates.

Figure 15 Variation of Biot Number with Mass flow rate of Hot Fluid

Figure 16 Variation of Biot Number with mass flow Rate of Cold Fluid

0

5

10

15

20

25

30

0.2 0.3 0.4 0.5 0.6 0.7

ma

ss f

low

ra

te o

f co

ld f

luid

Biot number

aluminium copper inconel-718

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0.2 0.3 0.4 0.5 0.6 0.7

Bio

t n

um

be

r

Mass flow rate (kg/sec.)

aluminium copper inconel-718

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D.V.Sai Teja and Dr Y.V.Hanumantha Rao

http://www.iaeme.com/IJMET/index.asp 635 [email protected]

6. EFFECTIVENESS CALCULATION

Effectiveness of the Heat Exchanger is the ratio between actual Heat Transfer rate taking

place between hot and cold fluids in the Heat Exchanger and the Maximum possible heat

transfer rate between them. It indicates the performance of Heat Exchanger [13], [14]

∈= .KLMNOPQNLRSNTUVQSSNLQWNXY*M*Z[UUY\OQPQNLRSNTUVQSSNLQ (7)

Qactual = Actual Heat Transfer rate = Rate of Enthalpy change of either Fluids

= mh

.Cph(Thi-The) = m

.Cpc(Tce-Tci) (8)

Qmax = Maximum possible Heat Transfer Rate

= (Thi –Tci)(m.Cp) small (9)

Where m.Cp small is the smaller Heat Capacity rate between hot and cold fluids. Heat

capacity rate of Methanol is smaller than Water in this case.

Effectiveness of Heat Exchanger with Copper plate is given by(7)

∈= (368 − 360.685)(368 − 288)

∈=0.09143

Effectiveness of Heat Exchanger with Aluminum plate is given by

∈= (368 − 361.187)(368 − 288)

∈=0.08516

Effectiveness of Heat Exchanger with Inconel-718 plate is given by

∈= (368 − 361.187)(368 − 288)

∈=0.07106

From all the above calculations we found that the Effectiveness of the Heat Exchanger

with Copper as plate material is higher than the Al and Inconel-718.Hence the Performance of

Copper Plate Heat Exchanger is better than that of Al and Inconel-718 Plate Heat Exchangers

7. CONCLUSION

In this work Heat Exchanger concept was studied with Plate Heat Exchanger keeping

unchanged hot and cold fluids for different types of Plate metal configuration, one model was

made using CATIA and simulation done with help of ANSYS fluent with three different plate

materials. Results were observed and verified with related papers. The corrugation pattern of

the plate develops turbulence of fluid. Plate with Inconel-718 material performing poor

because of its low thermal conductivity and high Biot Number and inversely plate with copper

material performing well, obviously because of its high thermal conductivity and low Biot

number. Aluminum stands in between copper and Inconel-718 in terms of Thermal

Conductivity as well as in Biot number. The Effectiveness of Heat Exchanger with Copper

Plate is more than that of Aluminum and Inconel-718 plates. As a result Copper Plate gives

better performance than Al and Inconel-718 metal plates

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Numerical Investigation of Heat Transfer and Fluid Flow in Plate Heat Exchanger With Different Types of

Plate Materials

http://www.iaeme.com/IJMET/index.asp 636 [email protected]

Hence, Among Copper, Aluminum and Inconel-718, Copper is better in all aspects.Finally

we can conclude from this work that using of plate material which has more thermal

conductivity and less Biot number Possess more heat transfer.

REFERENCES

[1] Fluids arun kumar tiwari , pradyumna ghosh , jahar sakar, harshit dahiya, jigar paresh,

numerical investigation of heat transfer and fluid flow in plate heat exchanger using nano

,2014, volume85, November pages 93-103

[2] Chapter 1- introduction to cfd introduction to cfx by ansys training lectures.

http://www.petrodanesh.ir/virtual%20education/mechanics/ansys-

cfx/lectures/cfx12_01_intro_cfd.ppt.

[3] Jianchang huang ,performance analysis of plate heat exchangers used as refrigerant

evaporators

[4] Jogi nikhil g, assist. prof. lawankar shailendra ,Heat transfer analysis of corrugated plate

heat exchanger of different plate geometry: a review vol 5 issue 4 April 2016

[5] Sreejith k, basil varghese, deepak das, delvin devassy, hari krishman k, sharath g, Design

and cost optimization of plate heat exchanger: volume(a) issue 10 (October 2014) pp 43-

48.

[6] G.anusha, p.s kishore, Heat transfer analysis of gasketed plate heat exchanger volume

number 5, issue no 12, pp 943-947.

[7] John d. anderson , computational fluid dynamics the basics with applications mcgraw-hill

(India) 2012

[8] Jh ferziger and m peric, text book, computational methods for fluid dynamics 3rd edition.

[9] Surajkumar.s ,dr. ashok g. matani ,heat transfer augmentation techniques in a plate-fin

heat exchanger , vol 6 , issue 3 January 2016

[10] Fantu a, tereda, n srihari, sarit k das and bebgt sunden, experimental study on port to

channel flow distribution of heat exchanger.

[11] Heat Transfer in Plate Heat Exchanger Channels :Experimental validation of Selected Co

relations Equations By Janusz T Cieslinski , Artur Fiuk , Krzysztof Typinski ,Bartlomiez

Siemienczuk , Volume 37 (2016) No.3 , 19-29*

[12] Heat and Mass Transfer Data Book (Seventh Edition) New Age International Publications

[13] SK som introduction to heat transfer, text book.

[14] Heat and Mass Transfer: Fundamentals and Applications By Yunus A cengel , Afshin

J.Ghajar.

[15] Husam Mahdi Hadi, Qasim S. Mahdi and Nessrian Ali Hussien, Experimental and

Numerical Investigation of Temperature Distribution For Meat During Freezing Process.

International Journal of Mechanical Engineering and Technology, 7(3), 2016, pp. 213–

224. http://www.iaeme.com/currentissue.asp?JType=IJMET&VType=7&IType=3

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D.V.Sai Teja and Dr Y.V.Hanumantha Rao

http://www.iaeme.com/IJMET/index.asp 637 [email protected]

Gd − Turbulenceduetobuoyancy

r:s − 1.44

ru − 1.9

Nomenclature

PHE- Plate heat exchanger

D -Diameter of inlet/outlet

Cv - Control Volume

R - Rutherford’s Constant

S -Modulus of the mean rate-of-strain tensor

µt - turbulent or eddy viscosity

u, v & w - velocity components in the x, y and z directions.

wUi/wxj&wuj/wxi – Velocity gradients.

Sij - Body forces

xy- Production of kinetic energy

ε - Dissipation rate

T – Temperature

p - Static pressure

t – Time, ρ − density

k - Thermal conductivity, W/m

IN-718 – Inconel-718 alloy

Cph,Cpc – specific heat of hot and cold fluids respectively

mh

. , mc

.-mass flow rate of hot and cold fluids (kg/sec.)

Tce, Tci – temperature of cold fluid at exit and entry respectively

The, Thi– temperature of hot fluid at exit and entry respectively

∈- Effectiveness

de = Equivalent Diameter =2b in meters

N= number of inter plate channels

Ac = channel flow cross section area in m2

µ = Dynamic Viscosity in Pa-Sec

h = Heat Transfer coefficient in W/m2k

L = Length of the Plate in meters