Spectral Local Linearisation Method For Hydromagneto-Maxwellian Fluid Flow

Abstract

Abstract In this work we studied the boundary layer flow of Maxwell fluid on the surface of a solid plate under the effect of a magnetic filed. To simplify the model, the boundary layer approximations have been used and then introduced a similarity transformation to transform the non-linear par- tial differential equations into highly ordinary differential equations. By applying the spectral local linearisation method on the resultant system of differential equation subject to appropriate boundary conditions we obtained accurate numerical solutions with a few iterations. The con- vergence of the SLLM has been tested by calculating the local error between each two iterations. Effects of the governing parameters such as the magnet field M and Deborah number β on the velocity components as well as the skin friction were analyzed in tabular and graph style. We observed that with the increase of magnet field M , the Lorentz drag force in which formed and generated mainly due to a major increase in the thickness of boundary layer, and hence the liquid becomes more viscous which leads to decease in the velocity between its particles due to their closeness to each other. On the other hand we found that for high Deborah number β the material behavior ensures more flexibility.