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

Volume 10, Edição 2, 2007, pp. 209-218
DOI: 10.1615/JPorMedia.v10.i2.80
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RESUMO

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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