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Modelling the Effects of Variable Viscosity in Unsteady Flow of Nanofluids in a Pipe with Permeable Wall and Convective Cooling
Applied and Computational Mathematics
Volume 3, Issue 3, June 2014, Pages: 75-84
Received: May 13, 2014; Accepted: May 27, 2014; Published: May 30, 2014
Authors
Sara Khamis, Nelson Mandela African Institution of Science and Technology (NM-AIST), P. O. Box 447, Arusha, Tanzania
Oluwole Daniel Makinde, Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa
Yaw Nkansah-Gyekye, Nelson Mandela African Institution of Science and Technology (NM-AIST), P. O. Box 447, Arusha, Tanzania
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Abstract
In this paper, the combined effects of variable viscosity, Brownian motion, thermophoresis and convective cooling on unsteady flow of nanofluids in a pipe with permeable wall are investigated. It is assumed that the pipe surface exchange heat with the ambient following the Newton’s law of cooling. Using a semi discretization finite difference method coupled with Runge-Kutta Fehlberg integration scheme, the nonlinear governing equations of momentum and energy balance, and the equation for nanoparticles concentration are tackled numerically. Useful results for the velocity, temperature, nanoparticles concentration profiles, skin friction and Nusselt number are obtained graphically and discussed quantitatively.
Keywords
Porous Pipe Flow, Variable Viscosity, Nanofluids, Heat Transfer, Convective Cooling
Sara Khamis, Oluwole Daniel Makinde, Yaw Nkansah-Gyekye, Modelling the Effects of Variable Viscosity in Unsteady Flow of Nanofluids in a Pipe with Permeable Wall and Convective Cooling, Applied and Computational Mathematics. Vol. 3, No. 3, 2014, pp. 75-84. doi: 10.11648/j.acm.20140303.12
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