Mass diffusion of MHD flow over an unsteady stretched surface with moving free stream

Abstract

An exploration is carried out to examine mass diffusion of unsteady ‘boundary layer’ (bl) motion of viscous liquid passed a stretched leaky piece with variable mass flux. For several engineering applications, moving free stream is considered here. This makes this research unique. The leading ‘partial differential equations’ (PDEs) accompanied by the ‘boundary conditions’ are converted to ‘ordinary differential equations’ (ODEs) with the help of ‘similarity transformations’ and ‘numerical solutions’ are attained by MATLAB software. The effect of pertinent ‘parameters’ on fluid ‘flow, concentration, skin friction coefficient’ and wall concentration are discussed ‘graphically’ and numerically. When suction/blowing parameter increases from -0.2 to 0.2, skin friction coefficient decreases 18.235%. Fluid concentration reduces with growing values of velocity ratio parameter for all cases considered. Compared to the case for static free stream, fluid velocity is higher when the free stream moves. Also higher concentration is noted in presence of moving free stream. The presence of moving free stream causes to diminish the effect of suction/blowing on flow and concentration fields. The increasing strength of suction causes to decrease the fluid velocity more significantly than that for blowing.

Keywords: Unsteady stretching sheet, MHD, Mass diffusion, Variable free stream, Variable mass flux.