Technical Briefs

Vapor Flow Analysis in Flat Plate Heat Pipes Using Homotopy Perturbation Method

[+] Author and Article Information
Hamid Reza Seyf

 Islamic Azad University, Karaj Branch, P.O. Box 31485-313, Tehran, Karaj 31397, Iran

Mohammad Layeghi

 University of Tehran, P.O. Box 31485-77871, Tehran, Karaj 31587-77871, Iranmlayeghi@ut.ac.ir

J. Heat Transfer 132(5), 054502 (Mar 08, 2010) (4 pages) doi:10.1115/1.4000448 History: Received March 24, 2009; Revised September 23, 2009; Published March 08, 2010; Online March 08, 2010

In the present study, an analytical solution for 2D vapor flow in flat plate heat pipes is presented. The governing equations are solved analytically using the homotopy perturbation method, and numerically using the finite volume method, based on collocated grids. The analytical results are obtained for nondimensional velocity profiles and axial pressures distribution along the entire length of the heat pipe, and compared with the numerical ones. It is shown that there is a relatively small difference of about 1% in the worst case between the analytical and numerical results. Furthermore, the effects of the Reynolds number and the ratio of condenser to evaporator lengths on the flow variables are discussed.

Copyright © 2010 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Schematic of flat plate heat pipe sections and vapor and liquid flows

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Figure 2

(a) The effect of evaporator to condenser lengths ratio on the dimensionless velocity profiles at the evaporator section at X=0.1. (b) The effect of Reynolds number on the dimensionless velocity profiles at the evaporator section at X=0.09090.

Grahic Jump Location
Figure 3

(a). Dimensionless pressure distributions along the FPHP at Reynolds numbers 1 to 9 for β=2. (b) Dimensionless pressure distribution along the FPHP at Reynolds numbers 1 to 9 for β=4.5.




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