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Research Papers: Porous Media

Flows Between Rotating Cylinders With a Porous Lining

[+] Author and Article Information
M. Subotic, F. C. Lai

School of Aerospace and Mechanical Engineering, University of Oklahoma, Norman, OK 73019

J. Heat Transfer 130(10), 102601 (Aug 07, 2008) (6 pages) doi:10.1115/1.2953305 History: Received August 18, 2007; Revised February 27, 2008; Published August 07, 2008

Flow and temperature fields in an annulus between two rotating cylinders have been examined in this study. While the outer cylinder is stationary, the inner cylinder is rotating with a constant angular speed. A homogeneous and isotropic porous layer is press fit to the inner surface of the outer cylinder. The porous sleeve is saturated with the fluid that fills the annulus. The Brinkman-extended Darcy equations are used to model the flow in the porous layer while the Navier–Stokes equations are used for the fluid layer. The conditions applied at the interface between the porous and fluid layers are the continuity of temperature, heat flux, tangential velocity, and shear stress. Analytical solutions have been attempted. Through these solutions, the effects of Darcy number, Brinkman number, and porous sleeve thickness on the velocity profile and temperature distribution are studied.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Annular flow between two rotating cylinders with a porous lining

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Figure 2

Effects of Darcy number on the velocity profile (ϕ=0.2, a=0.5, b=0.8, and c=1)

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Figure 3

Effects of Darcy number on the temperature distribution (ϕ=0.2, a=0.5, b=0.8, and c=1)

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Figure 4

Effects of porous sleeve thickness on the velocity profile (ϕ=0.2, a=0.5, and Da=10−4)

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Figure 5

Effects of porous sleeve thickness on the temperature distribution (ϕ=0.2, a=0.5, and Da=10−4)

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Figure 6

Effects of Brinkman number on the temperature distribution (ϕ=0.2, Da=10−4, a=0.5, b=0.8, and c=1)

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Figure 7

Effects of thermal conductivity ratio on the temperature distribution (ϕ=0.2, Da=10−4, a=0.5, b=0.8, and c=1)

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