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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v10.i2.80
pages 209-218

Effect of Radiation on Non-Darcy Free Convection from a Vertical Cylinder Embedded in a Fluid-Saturated Porous Medium with a Temperature-Dependent Viscosity

M. A. EL-Hakiem
Mathematics Department, Aswan Faculty of Science, South Valley University, Aswan, Egypt
Ahmed M. Rashad
Department of Mathematics, Aswan University, Faculty of Science, Aswan, 81528, Egypt

ABSTRACT

The effects of both radiation and the nonlinear Forchheimer terms on free convection from a vertical cylinder embedded in a fluid-saturated porous medium are examined. The fluid viscosity is assumed to vary as an inverse linear function of temperature. The boundary-layer equations governing flow are solved numerically by using the second-level local nonsimilarity method, which is used to convert the nonsimilar equations into a system of ordinary differential equations. Numerical results for dimensionless velocity, temperature profiles, and the local Nusselt number are presented for Ergun number Er, viscosity/temperature θr, conduction radiation parameter Rd, surface temperature excess ratio H, and transverse curvature parameter ξ.


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