Numerical solution of MHD Casson fluid flow with variable properties across an inclined porous stretching sheet

Abstract

The dynamics of Casson nanofluid with chemically reactive and thermally conducting medium past an elongated sheet was investigated in this work. Partial differential equations were used in the flow model (PDEs). The governing equations can be converted into system of ordinary differential equations. Using the R-K method and shooting techniques, the altered equations were numerically resolved. The impact of relevant flow factors was depicted using graphs while computations on engineering quantities of interest are tabulated. The velocity profiles were observed to degrade when the visco-inelastic parameter (Casson) and magnetic parameter (M) were set to a higher value. An increase in magnetic specification's value has been observed to decrease the distribution of velocity. A huge M value originates the Lorentz force which can degenerate the motion of an electrically conducting fluids. Physically, the multiplication of electrical conductivity (σ) and magnetic force's magnitude possess electromagnetic force which drag back the fluid motion. As a result, as Gm rises, the mass buoyancy force rises, causing the velocity distribution to widen. The contributions of variable thermal conductivity and variable diffusion coefficient on temperature and concentration contours respectively have been illustrated. The boundary layer distributions degenerate as the unsteadiness parameter (A) is increased. The outcomes of this agrees with previous outcomes.

Keywords

• mhd
• porous medium
• pde
• casson fluid
• thermal radiation
• chemical reaction