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Research Papers

Conjugate Mixed Convection Heat Transfer From a Shrouded Vertical Nonisothermal Heat Sink

[+] Author and Article Information
Biplab Das

Department of Mechanical Engineering,
National Institute of Technology Silchar,
Silchar, Assam 788010, India
e-mail: biplab.2kmech@gmail.com

Asis Giri

Department of Mechanical Engineering,
North Eastern Regional Institute of Science
and Technology,
Itanagar, Arunachal Pradesh 791109, India
e-mail: measisgiri@rediffmail.com

Suman Debnath

Department of Mechanical Engineering,
National Institute of Technology Silchar,
Silchar, Assam 788010, India
e-mail: debnath.s1990@gmail.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received March 10, 2016; final manuscript received January 10, 2017; published online March 21, 2017. Assoc. Editor: Hongbin Ma.

J. Thermal Sci. Eng. Appl 9(4), 041001 (Mar 21, 2017) (14 pages) Paper No: TSEA-16-1061; doi: 10.1115/1.4035970 History: Received March 10, 2016; Revised January 10, 2017

A computational analysis of conjugate mixed convection heat transfer from shrouded vertical nonisothermal heat sink on a horizontal base is performed. The overall Nusselt number and the product of friction factor (f) and Reynolds number (Re) are found to vary significantly with the spacing of heat sink as well as with the clearance between shroud and heat sink. By increasing the fin conductance by 200%, an enhancement of Nusselt number is noted to be around 58%, while the same Nusselt number enhancement is 134% for isothermal fin, within the range of parametric studies. The fRe value for smaller fin spacing shows a maximum with clearances, while the same for higher fin spacing remains the same or increases with clearances. Finally, overall Nusselt number and friction factor are well correlated with the governing parameters of the problem.

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Figures

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Fig. 1

(a) Schematic diagram of shrouded plate finned heat sink on a horizontal base and (b) computational domain

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Fig. 2

Allocation of computational grid arrangement

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Fig. 3

Streamline contours of the flow domain for Ω = 30: (a) S*= 0.1, C*= 0, Gr = 106, ψmax = 0.0215, (b) S*= 0.1, C*= 0, Gr = 107, ψmax = 0.215, (c) S*= 0.1, C*= 0.30, Gr = 106, ψmax = 0.127, (d) S*= 0.1, C*= 0.30, Gr = 107, ψmax = 3.3, (e) S*= 0.3, C*= 0, Gr = 106, ψmax = 1.876, (f) S*= 0.3, C*= 0, Gr = 107, ψmax = 9.54, (g) S*= 0.3, C*= 0.30, Gr = 106, ψmax = 3.0, and (h) S*= 0.3, C*= 0.30, Gr = 107, ψmax = 10.35

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Fig. 4

W-velocity profile for Ω = 30: (a) S* = 0.1, C*= 0, Gr = 106, (b) S* = 0.1, C*= 0, Gr = 107, (c) S* = 0.1, C*= 0.30, Gr = 106, (d) S* = 0.1, C*= 0.30, Gr = 107, (e) S*= 0.3, C*= 0, Gr = 106, (f)S*= 0.3, C*= 0, Gr = 107, (g) S*= 0.3, C*= 0.30, Gr = 106, and (h) S*= 0.3, C*= 0.30, Gr = 107

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Fig. 5

Variation of fin temperature along the fin height for Ω = 30: (a) S*= 0.1 and (b) S*= 0.3

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Fig. 6

Temperature profile for Ω = 30: (a) S*= 0.1, C*= 0, Gr = 106, (b) S*= 0.1, C*= 0, Gr = 107, (c) S*= 0.1, C*= 0.30, Gr = 106, (d) S*= 0.1, C*= 0.30, Gr = 107, (e) S*= 0.3, C*= 0, Gr = 106, (f) S*= 0.3, C*= 0, Gr = 107, (g) S*= 0.3, C*= 0.30, Gr = 106, and (h) S*= 0.3, C*= 0.30, Gr = 107

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Fig. 7

Local fin Nusselt number variation along the fin height for Ω = 30: (a) S*= 0.1 and (b) S*= 0.3

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Fig. 8

Local base Nusselt number variation along the base for Ω = 30: (a) S*= 0.1 and (b) S*= 0.3

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Fig. 9

Overall Nusselt number variation with clearance for (a) Ω = 10, Gr = 105, (b) Ω = 10, Gr = 106, (c) Ω = 10, Gr = 107, (d) Ω = 30, Gr = 105, (e) Ω = 30, Gr = 106, and (f) Ω = 30, Gr = 107

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Fig. 10

Computed and correlated overall Nusselt number

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Fig. 11

Mass bypass and fRe for Ω = 30: (a) Gr = 105, (b) Gr = 106, and (c) Gr = 107

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Fig. 12

Computed and correlated fRe

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