Analytical solution of sea water steady magneto-hydrodynamic equations subjected to stretching sheet under induced magnetic field and heat transfer

Abstract

The aim of this study is to investigate the problem of steady magneto-hydrodynamic (MHD) flow of an in-compressible viscous fluid over a stretching sheet. This system of nonlinear differential equations is solved analytically using the homogeneous balance method where the induced magnetic field and heat transfer are taken into account. Sea water is the working fluid in our problem. Through this study, it was found that the re-sulting solutions include the non-dimensional temperature, velocity, induced magnetic field functions and the ratio between kinetic and magnetic energies depend on different governing parameters. The obtained solutions are plotted at selected values of the prevailing parameters including the magnetic parameter and the ratio between the straining velocity of the stagnation point flow and the stretching velocity of the sheet. The results indicate that all these quantities are damping far from the stretching source. The findings of this research may serve as a contribution for studying the thermodynamic irreversible processes that is responsible for consuming the energy within the system under scope of the study. This aspect is attained through representing the non-dimensional entropy generation and Bejan numbers at the selected prevailing parameters.