Free Convection and Mass Transfer Flow Near a Moving Vertical Porous Plate: An Analytical Solution

An exact solution of the problem of the unsteady free convection and mass transfer flow near an infinite vertical porous plate, which moves with time-dependent velocity in a viscous and incompressible fluid, is presented here by the Laplace transform technique. All expressions of the new solutions of the present problem were obtained in closed forms with arbitrary Prandtl number $(Pr)$⁠, Schmidt number $(Sc)$⁠, thermal Grashof number $(Gr)$⁠, and mass Grashof number $(Gm)$⁠. Two applications of physical interest for porous or nonporous plate are discussed. Applying numerical values into the expressions of analytical solution, we was also discussed the vertical air flows—the usual phenomenon at plumes into the atmosphere.