Effect of Mass Transfer and Heat Sources on the Rotatory Flow Past an Accelerated Infinite Vertical Plate through Porous Medium
Keywords:
Heat transfer, Heat sources, Mass transfer, Porous medium, Incompressible fluid, Coriolis forceAbstract
The Laplace transform approach has been used to develop an accurate solution to the unsteady free convection flow of a viscous incompressible fluid in the presence of foreign mass via a porous media past an infinite vertical isothermal plate that was initiated impulsively in a rotating fluid. Numerical values of skin friction are presented in a table, and graphs display axial and transverse velocity profiles. As the permeability parameter λ increases, the air's transverse velocity decreases in magnitude, and same for rotational parameter Rc.Consequently, when the porous medium is denser than when air or water flows as an infinite medium, the flow is slow down for λ increases. It is observed that the axial velocity for both water and air becomes irregular as the rotating parameter Rc decreases, that the Coriolis forces physically interrupt fluid motion, that the axial velocity-driven flow of Rc is unstable because of a point of inflection on the axial velocity profiles of both water and air, which makes the flow turbulent, and that the flow caused by the transverse velocity is unstable when Rc < 1. As the Prandtl number Pr increases, the axial velocity falls. When Schmidt number Sc increases, axial velocity falls for both air and water, but when Sc increases, transverse velocity becomes unstable for air. It is observed that decrease in N, the ratio of chemical species diffusion to thermal diffusion, leads to an increase in the axial velocity because the buoyant force facilitates the movement of air but Transverse velocity decreases for increase in N. As N decreases, axial velocity, and transverse velocity decreases for water. S increases then flow become unstable for both water and air. If Rc increases, axial skin friction becomes irregular and transverse skin friction increases for air but for water axial skin friction and Transverse skin friction both oscillates. Axial skin friction oscillates and transverse skin friction decreases for buoyancy force parameter N for water, and for air, axial skin friction and transverse skin friction oscillates. As permeability parameter λ increases, axial and transverse skin friction decrease for water, and for air axial velocity decreases and transverse skin friction increases. Axial skin friction rises with rise in heat source parameter S whereas Transverse skin friction oscillates as S rises.
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