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Effects of variable viscosity and thermal conductivity on the Brinkman model for mixed convection flow past a horizontal circular cylinder in a porous medium

مؤلف البحث
I. A. Hassanien and Z. Z. Rashed
ملخص البحث

This work presents a performance analysis of mixed convection boundary layer flow past a horizontal circular cylinder embedded in a fluid-saturated porous medium in a vertical stream flow using the Darcy-Brinkman model. The surface temperature is assumed to be constant. The fluid viscosity and thermal conductivity are assumed to vary as a linear function of temperature. Both cases of a heated (assisting flow) and a cooled (opposing flow) cylinder are considered. The governing equations reduce to the similar Darcy's model, while it becomes nonsimilar for the Darcy-Brinkman model, and they are solved numerically employing the finite difference method. The effects of the Darcy-Brinkman parameter Γ, mixed convection parameter λ, viscosity parameter r, and thermal conductivity parameter ε are studied. It is found that cooling the cylinder (λ < 0) brings the boundary layer separation point nearer to the lower stagnation point, and for sufficiently large negative values of the mixed convection parameter (in absolute sense) there is no boundary layer on the cylinder in the case of variable and constant fluid properties. Heating the cylinder (λ > 0) delays the separation of the boundary layer and can suppress it completely for large values (λ > 0). Results for the details of the velocity and temperature fields as well as skin friction and rate of heat transfer at the wall are presented. Results are compared with previously published work and are found to be in excellent agreement.

قسم البحث
مجلة البحث
Journal of Porous Media
المشارك في البحث
الناشر
Begll Hous, Inc
تصنيف البحث
1
عدد البحث
Vol13, No 1
موقع البحث
http://www.begellhouse.com/journals/49dcde6d4c0809db.html
سنة البحث
2010
صفحات البحث
53-66