MHD boundary layer flow of couple-stress fluid over a bidirectional moving surface with non-Fourier heat flux

Abstract

This work is addressed to the study of MHD boundary layer couple-stress fluid flow considering the non-Fourier Cattaneo-Christov hyperbolic heat transfer model over a bidirectional movable surface. The group of continuous symmetry transformations is adopted to determine invariant solutions of governing equations for boundary layer fluid flow with heat transfer. Using Lie symmetry analysis, the governing equations having boundary conditions are converted into self-similar equations under a group of transformations only when initial prescribed velocity distributions are in linear form. The similar velocity and temperature profiles are obtained and the effects of the magnetic field and hyperbolic heat-flux are explored. The study revealed that the flow boundary layer thickness becomes thicker due to the increase of the couple-stress parameter, while the thermal boundary layer thickness becomes thinner for increasing relaxation time of heat-flux. The couple-stress parameter acts in the flow field in opposite style to the magnetic parameter. Also, for an increase in the couple-stress parameter and the thermal relaxation-time parameter, the higher wall heat transfer is exhibited.