Lie group analysis for Elastico- viscous Maxwell nanofluid flow in a channel of stretching surface with convective boundary condition


M Enamul Karim
Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
M Abdus Samad
Department of Mathematics, Comilla University, Cumilla-3506, Bangladesh


The current study deals with the analysis of heat transfer of the unsteady Maxwell nanofluid flow in a channel of a porous extensile surface subject to the convective boundary condition. The Lie group analysis is performed for the transformation of the current model in a system of nonlinear ordinary differential equations that are numerically decoded with the help of MATLAB integrated function bvp4c. The effects of various flow control parameters are investigated for the momentum, temperature and diffusion profiles, as well as for the wall shearing stress and heat transfer presuming two cases, prescribed surface temperature (PST) and prescribed convective boundary (PCB). Finally, the results are described from the material point of view. In general, the PST and PCB boundary conditions are highly functional in various industrial, biological and engineering applications. In addition, a significant result of the current analysis is that the viscosity of the nanofluid increases with the gradual increase in the Deborah number, which increases the resistance to flow and there is a transverse flow in the channel near the stretching surface.

ICAMCS19 Cover Page
August 8, 2020
Online ISSN