Homann Flow and Heat Transfer Through a Porous Medium with Uniform Suction or Injection

2021 ◽  
Vol 13 (1) ◽  
pp. 14
Author(s):  
Hazem A. Attia ◽  
Mohamed E. S. Ahmed ◽  
Karem M. Ewis ◽  
Ibrahim H. Abd Elmaksood
2003 ◽  
Vol 81 (10) ◽  
pp. 1223-1230 ◽  
Author(s):  
H A Attia

The steady axisymmetric flow of an incompressible viscous electrically conducting fluid impinging on a permeable flat plate with heat transfer is investigated. An external uniform magnetic field as well as a uniform suction or injection are applied normal to the plate, which is maintained at a constant temperature. Numerical solutions for the governing momentum and energy equations are obtained. The effect of the magnetic field and the uniform suction or injection on both the flow and heat transfer is presented and discussed.PACS Nos.: 47.50, 47.15


2006 ◽  
Vol 9 (1) ◽  
pp. 1-14 ◽  
Author(s):  
H. Dhahri ◽  
A. Boughamoura ◽  
Sassi Ben Nasrallah

2004 ◽  
Vol 126 (2) ◽  
pp. 247-255 ◽  
Author(s):  
Duckjong Kim ◽  
Sung Jin Kim

In the present work, a compact modeling method based on a volume-averaging technique is presented. Its application to an analysis of fluid flow and heat transfer in straight fin heat sinks is then analyzed. In this study, the straight fin heat sink is modeled as a porous medium through which fluid flows. The volume-averaged momentum and energy equations for developing flow in these heat sinks are obtained using the local volume-averaging method. The permeability and the interstitial heat transfer coefficient required to solve these equations are determined analytically from forced convective flow between infinite parallel plates. To validate the compact model proposed in this paper, three aluminum straight fin heat sinks having a base size of 101.43mm×101.43mm are tested with an inlet velocity ranging from 0.5 m/s to 2 m/s. In the experimental investigation, the heat sink is heated uniformly at the bottom. The resulting pressure drop across the heat sink and the temperature distribution at its bottom are then measured and are compared with those obtained through the porous medium approach. Upon comparison, the porous medium approach is shown to accurately predict the pressure drop and heat transfer characteristics of straight fin heat sinks. In addition, evidence indicates that the entrance effect should be considered in the thermal design of heat sinks when Re Dh/L>∼O10.


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