Indian Journal of Science and Technology
Year: 2019, Volume: 12, Issue: 38, Pages: 1-8
N. Ambreen1,*, A. Rehman1, N. Sheikh1, S. Iqbal1, M. Zulfiqar2
1Department of Mathematics, University of Balochistan, Quetta, Pakistan; [email protected], [email protected], [email protected], [email protected] 2Department of Mathematics, Government College University, Lahore, Pakistan; [email protected]
*Author for correspondence
1Department of Mathematics, University of Balochistan, Quetta, Pakistan;
Objectives: The present study analyses the effects of nanoparticles over steady, incompressible boundary-layer flow of non-Newtonian Williamson fluid flowing over a rotating porous disk. Methods/statistical analysis: The analysis used nonlinear partial differential equations associated with the non-Newtonian Williamson fluid flow and used an abridged, simplified version of ordinary differential equations under the Boussines q and boundary-layer approximations. The resulting system of nonlinear ordinary differential equations is then solved analytically using the homotopy analysis. Findings: The behavior of three non-dimensional velocity profiles and the non-dimensional temperature profile for important physical parameters like Williamson number, Prandtl number and surface suction/ injection parameters is tabulated and the results are graphed. Application/improvements: Nanoparticles like Copper, Alumina and titania are commonly used with liquid coolants to increase the heat-dissipating capability.
Keywords: Boundary-Layer Flow; Heat Transfer; Porous Disk; non-Newtonian; Williamson Nanofluid
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