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Technical Briefs

Non-Darcy Mixed Convection With Thermal Dispersion in a Saturated Porous Medium

[+] Author and Article Information
V. V. Sobha1

Department of Engineering Mathematics, Andhra University, Visakhapatnam, 530 003 India

R. Y. Vasudeva

Department of Applied Mathematics, Andhra University, Visakhapatnam, 530 003 India

K. Ramakrishna

Department of Mechanical Engineering, K.L. College of Engineering, Guntur, 522 502 India

K. Hema Latha

Department of Mathematics, V.R. Siddhartha Engineering College, Vijayawada, 520 007 India

1

Deceased.

J. Heat Transfer 132(1), 014501 (Oct 23, 2009) (4 pages) doi:10.1115/1.3194761 History: Received May 12, 2008; Revised May 21, 2009; Published October 23, 2009

Thermal dispersion due to local flows is significant in heat transfer with forced convection in porous media. The effects of parametrized melting (M), thermal dispersion (D), inertia (F), and mixed convection (Ra/Pe) on the velocity distribution, temperature, and Nusselt number on non-Darcy, mixed convective heat transfer from an infinite vertical plate embedded in a saturated porous medium are examined. It is observed that the Nusselt number decreases with increase in melting parameter and increases with increase in thermal dispersion.

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Figures

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Figure 1

Schematic diagram of the problem

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Figure 2

The effect of thermal dispersion and melting on the velocity distribution in both aiding and opposing flows

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Figure 3

The effect of melting and thermal dispersion on the temperature distribution

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Figure 4

Variation in the local Nusselt number with the melting parameter for different values of thermal dispersion and mixed convection parameters

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Figure 5

Variation in the local Nusselt number with the melting parameter for different values of thermal dispersion and inertia parameters

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