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Research Papers

Transient Behavior of Three-Fluid Cross-Flow Heat Exchanger Under the Influence of Temperature Nonuniformity

[+] Author and Article Information
Harpreet Kaur Aasi

Indian Institute of Technology,
Roorkee, 247667, Uttarakhand, India
e-mail: harpreetkaur.aasi119@gmail.com

Manish Mishra

Indian Institute of Technology,
Roorkee, 247667, Uttarakhand, India
e-mail: mmishfme@iitr.ac.in

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received November 27, 2017; final manuscript received June 24, 2018; published online August 31, 2018. Assoc. Editor: Amir Jokar.

J. Thermal Sci. Eng. Appl 10(6), 061012 (Aug 31, 2018) (15 pages) Paper No: TSEA-17-1460; doi: 10.1115/1.4040987 History: Received November 27, 2017; Revised June 24, 2018

A typical three-fluid cross-flow heat exchanger with nonuniform inlet temperature in the central (hot) fluid is considered for the present analysis. Steady and transient state behavior of the heat exchanger is observed for four different temperature nonuniformity models along with step excitation in inlet temperature of the central fluid. Longitudinal heat conduction in the separating walls and the effect of fluid back-mixing along with axial dispersion effect are considered within the fluids with constant thermophysical fluid properties. The solution of governing equations has been obtained using implicit finite difference scheme. Temperature distribution over the separating walls has been depicted providing a clear view of the thermal stresses generated in separating walls. The performance for all the four cross-flow arrangements has been analyzed by comparing that with and without nonuniform conditions. It is found that the nonuniformity in inlet temperature has an adverse effect on the performance of heat exchanger.

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References

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Figures

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Fig. 1

Three-fluid cross-flow plate-fin heat exchanger with temperature nonuniformity at the inlet of stream b

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Fig. 2

Three-fluid cross-flow arrangements (a) co-current cross-flow (C1), (b) countercurrent cross-flow (C2), (c) cross countercurrent (c3), and (d) cross co-current (C4)

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Fig. 3

Schematic representation of fins lumped with respective separating walls, distribution of convective resistance of fluid b and thermal capacity of core [15]

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Fig. 4

Temperature nonuniformity models

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Fig. 5

Schematic of grid scheme

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Fig. 6

Validation of the numerical results with the analytical results of Bac˘lić et al. [10]

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Fig. 7

Experimental facility of three-fluid cross-flow heat exchanger (C2 arrangement)

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Fig. 8

Effect of NTU on transient response of mean exit temperature of (a) fluid a, (b) fluid b, and (c) fluid c for different temperature nonuniformity models

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Fig. 9

Comparison of temperature contours at steady-state of all fluids and separating walls (NTU = 5) (a) model-1 (p = 4, q = 2) (b) model-2 (p = 2, q = 4)

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Fig. 10

Comparison of steady-state temperature profile for separating (a) wall-1 and (b) wall-2

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Fig. 11

Temperature distribution in separating wall-1 for model-2 (p = 2, q = 4) at different time steps and at (a) NTU = 1 and (b) NTU = 5

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Fig. 12

Temperature distribution in separating wall-2 for model-2 (p = 2, q = 4) at different time steps and at (a) NTU = 1 and (b) NTU = 5

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Fig. 13

Effect of axial dispersion on transient response of all the three fluids for (a) model-1 (p = 4, q = 2) and (b) model-2 (p = 2, q = 4)

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Fig. 14

Effect of Eab on transient response of all the three fluids for model-2 (p = 2, q = 4)

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Fig. 15

Effect of λ on transient response of all the three fluids for model-1 (p = 4, q = 2)

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Fig. 16

Effect of Rab on transient response of all the three fluids for model-2 (p = 2, q = 4)

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Fig. 17

Effect of Tcin on transient response of all the three fluids for model-2 (p = 2, q = 4)

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Fig. 18

Effect of NTU on effectiveness for different temperature nonuniformity models

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Fig. 19

Effect of NTU on deterioration factor for (a) fluid a, (b) fluid b, and (c) fluid c for different nonuniformity models

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Fig. 20

Effect of NTU on deterioration factor of all the three fluids at (a) model-1, (b) model-2, (c) model-3 and (d) model-4 for different cross-flow arrangements

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Fig. 21

Temperature distribution of the three fluids along the length of flow for (a) model-1 and (b) model-2

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Fig. 22

Effect of Pe on temperature distribution of the three fluids along the length of flow for model-1

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