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TECHNICAL BRIEFS

Similarity Solution of Laminar Axisymmetric Jets With Effect of Viscous Dissipation

[+] Author and Article Information
A. M. Kalteh

Department of Mechanical Engineering, Amirkabir University of Technology, Hafez Ave., P.O. Box 15875-4413, Tehran, Iran

A. Abbassi

Department of Mechanical Engineering, Amirkabir University of Technology, Hafez Ave., P.O. Box 15875-4413, Tehran, Iranabbassi@aut.ac.ir

J. Heat Transfer 128(10), 1099-1102 (Jul 09, 2006) (4 pages) doi:10.1115/1.2345435 History: Received December 26, 2005; Revised July 09, 2006

In this work the similarity solution of the thermal boundary layer for a laminar axisymmetric jet with viscous dissipation is derived and solved numerically, using a fourth-order Runge-Kutta method. The results are compared with the existing solutions, in which viscous dissipation is neglected. After that the effects of Reynolds and Prandtl numbers of the incoming hot jet on the temperature profile of the jet is investigated. It is seen that inclusion of viscous dissipation term results in a more rapid heat exchange between the incoming jet and quiescent fluid than the case where the viscous dissipation term is neglected. Also, it is observed that by increasing the Reynolds and Prandtl numbers of the jet, the heat penetrates better in locations near the symmetry line, whereas in locations farther from the symmetry axis the penetration is less.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic representation of a laminar axisymmetric jet

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Figure 2

Comparison between the temperature profile of a laminar axisymmetric jet with and without viscous dissipation (x=0.05m, Red=50, Pr=0.7, d=0.004m)

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Figure 3

Effect of the Reynolds number on the temperature profile of a laminar axisymmetric jet (x=0.2m, Pr=0.7, d=0.004m)

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Figure 4

Effect of the Prandtl number on the temperature profile of a laminar axisymmetric jet (x=0.05m, Red=50, d=0.004m)

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