EXACT SOLUTION FOR TRANSIENT NATURAL CONVECTIVE FLOW THROUGH A VERTICAL CONCENTRIC CYLINDER FILLED WITH POROUS MEDIUM

An analytical scenario is presented on transient, fully developed, free convection flow in a vertical concentric cylinder occupied with a porous medium. For this, an efficacious model is considered, and the governing equations with appropriate boundary conditions have been solved by finite Hankel transform technique (FHTT). The Bessel functions have accomplished a closed-form solution. Moreover, we have explored the obtained results through the sketches and tables to demonstrate the impression of emerging parameters on the fluid velocity and the temperature profiles. Also, the numerical values of skin friction, mass flux, and Nusselt number are mentioned in tabular form. The main result has found that the time and Darcy number accelerated the skin friction and mass flux while decelerating with Pr and M.