Finite difference approach to two-dimensional magnetohydrodynamic fluid flow due to moving surface

This article reports a theoretical examination of two-dimensional laminar and incompressible fluid flow due to the linear stretching of a sheet. The viscous fluid flow is analyzed under the impact of the transverse uniform magnetic field. The flow is generated due to the stretching surface and its momentum and temperature distributions have been studied. The features of the flow are modeled mathematically and the nature of framed equations are fully coupled nonlinear partial differential equations. The system of governing equations is operated using an iterative finite difference scheme. This nonlinear boundary value problem is reduced to linear form using the quasilinearization technique and it is further solved using the Thomas algorithm. The numerical results are extracted and the physical behaviors of the flow are found to overlap with the outcomes. Additionally, the findings are extended to the computations of friction factor and heat transfer rate on the boundary for various pertinent parameters. The streamlines of the fluid flow are also depicted for flow controlling parameters. From the contours, the parabolic structure of the streamlines is approaching linear nature near the core of the channel with the slight increment of the physical parameters (Reynolds number, magnetic parameter, and Grashof number).