[PDF][PDF] Modelling the effects of variable viscosity in unsteady flow of nanofluids in a pipe with permeable wall and convective cooling

S Khamis, OD Makinde… - Applied and …, 2014 - academia.edu
S Khamis, OD Makinde, Y Nkansah-Gyekye
Applied and Computational Mathematics, 2014academia.edu
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 …
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.
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