Investigation of Unsteady Mixed Convection Flow near the Stagnation Point of a Heated Vertical Plate embedded in a Nanofluid-Saturated Porous Medium by Self-Similar Technique
American Journal of Energy Engineering
Volume 3, Issue 4-1, July 2015, Pages: 42-51
Received: Feb. 5, 2015; Accepted: Feb. 6, 2015; Published: Feb. 24, 2015
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Authors
A. A. Abdullah, Department of Mathematical Sciences, Umm Al-Qura University, Makkah, Saudi Arabia
F. S. Ibrahim, Department of Mathematics, University College, Umm Al-Qura University, Makkah, Saudi Arabia
A. F. Abdel Gawad, Mech. Eng. Dept., College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, Saudi Arabia
A. Batyyb, Mech. Eng. Dept., College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, Saudi Arabia
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Abstract
This paper aims to study the problem of unsteady mixed convection in a stagnation flow on a heated vertical surface embedded in a nanofluid-saturated porous medium. The employed mathematical model for the nanofluid takes into account the effects of Brownian motion and thermophoresis. The presence of a solid matrix, which exerts first and second resistance parameters, is considered in this study. The self-similar solutions for the system of equations governing the problem are obtained. The resulting system of ordinary differential equations that govern the flow is solved numerically using fourth-fifth order Runge-Kutta with shooting method. Numerical results for the dimensionless velocity, temperature and nanoparticle volume fraction as well as skin friction, Nusselt number and Sherwood number are produced for different values of the influence parameters.
Keywords
Unsteady Mixed Convection, Self-Similar Solution, Nanofluids, Stagnation, Porous Media
To cite this article
A. A. Abdullah, F. S. Ibrahim, A. F. Abdel Gawad, A. Batyyb, Investigation of Unsteady Mixed Convection Flow near the Stagnation Point of a Heated Vertical Plate embedded in a Nanofluid-Saturated Porous Medium by Self-Similar Technique, American Journal of Energy Engineering. Special Issue: Fire, Energy and Thermal Real-Life Challenges. Vol. 3, No. 4-1, 2015, pp. 42-51. doi: 10.11648/j.ajee.s.2015030401.13
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