Forced Convection Past an Oblate Spheroid at Low to Moderate Reynolds Numbers

[+] Author and Article Information
Rajai S. Alassar

 Department of Mathematical Sciences, KFUPM Box # 1620, Dhahran 31261, Saudi Arabiaalassar@kfupm.edu.sa

J. Heat Transfer 127(9), 1062-1070 (Apr 27, 2005) (9 pages) doi:10.1115/1.1999654 History: Received January 22, 2004; Revised April 27, 2005

Forced convection past a heated oblate spheroid is studied in an attempt to investigate the effect of the axis ratio on the heat transfer rate. The time-dependent full Navier–Stokes and energy equations are solved using a series truncation method. The axis ratios considered range from 12 to 1 (a perfect sphere). The results for the flow and thermal fields are satisfactorily compared with relevant published research. The results are presented in the form of streamlines, isotherms, and the local and averaged Nusselt number distributions.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 3

The steady-state streamlines for b∕a=0.75 at different Reynolds numbers. Re= (a) 10, (b) 20, (c) 30, (d) 40, (e) 50, (f) 60, (g) 70 (h) 80 (i) 90, (j) 100, (k) 200, (l) 300, (m) 400, (n) 500.

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Figure 4

Surface vorticity, Re=40

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Figure 2

The steady-state streamlines for Re=40 at different axis ratios (b∕a=0.55–0.99)

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Figure 1

The coordinate system

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Figure 5

Dimensionless pressure, Re=40

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Figure 6

The time development of isotherms for the case Re=100, b∕a=0.75t= (a) 0.33, (b) 0.66, (c) 3.31, (d) 6.61, (e) 9.92, (f) 13.23, (g) 20.0

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Figure 7

The averaged Nusselt number, Re=10

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Figure 8

The averaged Nusselt number, Re=40

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Figure 17

The steady-state isotherms for b∕a=0.75 at different Reynolds numbers. Re= (a) 10, (b) 20, (c) 30, (d) 40, (e) 50, (f) 60, (g) 70 (h) 80 (i) 90, (j) 100, (k) 200, (l) 300, (m) 400, (n) 500.

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Figure 9

The averaged Nusselt number, Re=100

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Figure 10

The averaged Nusselt number, b∕a=0.75

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Figure 11

N¯u versus b∕a, Re= (a) 10, (b) 40, (c) 100

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Figure 16

The steady-state isotherms for Re=100 at different axis ratios (b∕a=0.55–0.99)



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