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Technical Briefs

Analytical Solutions of Nusselt Number for Thermally Developing Radial Flow Through Small Gap Between Two Parallel Disks

[+] Author and Article Information
Achintya Mukhopadhyay

Department of Mechanical Engineering, Jadavpur University, Kolkata 700 032, Indiaamukhopadhyay@mech.jdvu.ac.in

J. Heat Transfer 131(5), 054502 (Mar 17, 2009) (4 pages) doi:10.1115/1.3013826 History: Received November 06, 2007; Revised September 14, 2008; Published March 17, 2009

Closed form solutions are developed for heat transfer due to radial flow through small gap between two parallel isothermal disks. The thermal entrance length increases with an increase in Peclet number and decrease in the inner radius of the circular disks. The attainment of fully developed Nusselt number is slower for slug flow than for fully developed creeping flow. The effect of disk rotation can be incorporated through an effective pressure gradient. The presence of disk rotation increases the thermal entrance length.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Comparison of local Nusselt number with the results of Ref. 8

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Figure 2

Effect of Peclet number on local Nusselt number for slug flow at ri∕b=1

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Figure 3

Effect of inner radius on local Nusselt number for slug flow at Pe=100

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Figure 4

Effect of Peclet number on local Nusselt number for fully developed creeping flow at ri∕b=1

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