Conduction-radiation effect on natural convection flow in a fluid-saturated non-Darcy porous medium enclosed by non-isothermal walls

Hossain, M.A., Saleem, M., Saha, S.C., & Nakayama, A. (2013) Conduction-radiation effect on natural convection flow in a fluid-saturated non-Darcy porous medium enclosed by non-isothermal walls. Applied Mathematics and Mechanics, 34(6), pp. 687-702.

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Abstract

The effect of conduction-convection-radiation on natural convection flow of Newtonian optically thick gray fluid, confined in a non-Darcian porous media square cavity is numerically studied. For the gray fluid consideration is given to Rosseland diffusion approximation. Further assuming that (i) the temperature of the left vertical wall is varying linearly with height, (ii) cooled right vertical and top walls and (iii) the bottom wall is uniformly-heated. The governing equations are solved using the Alternate Direct Implicit method together with the Successive Over Relaxation technique. The investigation of the effect of governing parameters namely the Forschheimer resistance (Γ), the Planck constant (Rd), and the temperature difference (Δ), on flow pattern and heat transfer characteristics has been carried out. It was seen that the reduction of flow and heat transfer occurs as the Forschheimer resistance is increased. On the other hand both the strength of flow and heat transfer increases as the temperature ratio, Δ, is increased.

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3 citations in Scopus
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1 citations in Web of Science®

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ID Code: 57423
Item Type: Journal Article
Refereed: Yes
Keywords: Conduction-radiation effect, Natural convection, fluid-saturated non-Darcy porous medium, non-isothermal walls
DOI: 10.1007/s10483-013-1700-7
ISSN: 0253-4827
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Current > Schools > School of Chemistry, Physics & Mechanical Engineering
Current > Institutes > Institute for Future Environments
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 Springer-Verlag
Copyright Statement: The original publication is available at SpringerLink
http://www.springerlink.com
Deposited On: 20 Feb 2013 23:06
Last Modified: 17 Jun 2013 22:31

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