Title: Bivariate spectral quasi-linearisation exploration of heat transfer in the boundary layer flow of micropolar fluid with strongly concentrated particles over a surface at absolute zero due to impulsive

Authors: Sandile S. Motsa; Isaac Lare Animasaun

Addresses: School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South Africa; University of Swaziland, Faculty of Science and Engineering, Private Bag 4, M201, Kwaluseni, Swaziland ' Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria

Abstract: The problem of unsteady micropolar fluid flow over a surface in which the heat energy falls at a lower limit of thermodynamic temperature scale due to impulsive is investigated. In this article, a new spectral method (BSQLM) for solving the partial differential equation is shown to unravel the heat transfer within the boundary layer. Some fluid layers at the free stream were given an impulsive motion in the horizontal direction. The thermal conductivity of the non-Newtonian fluid is assumed to be temperature dependent due to the influence of internal heat source; hence modified to suit the case of melting heat transfer following all the fundamental theories. The mathematical model was non-dimensionalised and parameterised using similarity transformation suitable to unravel the flow at short-time and long-time periods. Smooth transitions within the time frame 0 ≤ ξ ≤ 1 in the domain 0 ≤ η ≤ 1 are observed. The minimum temperature distribution is ascertained when the magnitude of Prandtl number is significantly large.

Keywords: heat transfer; constant vortex viscosity; micropolar fluid; bivariate spectral quasi-linearisation; variable thermal conductivity.

DOI: 10.1504/IJCSM.2018.10016504

International Journal of Computing Science and Mathematics, 2018 Vol.9 No.5, pp.455 - 473

Received: 01 Jun 2017
Accepted: 19 Jun 2017

Published online: 28 Sep 2018 *

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