MODELING OF FLUID FLOW AND HEAT TRANSFER INSIDE A SATURATED POROUS CONDUIT AT CONSTANT SURFACE TEMPERATURE

The aim of this study was to obtain a new model of fluid flow and heat transfer inside a saturated porous impermeable conduit at constant surface temperature that can depict the fluid flow and temperature distribution through both the entrance and fully developed regions. The governing partial differential equations (continuity, momentum, and energy) were formulated in two dimensions in cylindrical coordinate. Subsequently, they were transformed into dimensionless form using a set of non-similarity parameters and solved analytically and numerically by the finite-difference method using a MATLAB programming code. Many results were obtained and a representative set was displaced graphically to illustrate the temperature profile along the conduit. Both the Darcy and Forchheimer models were studied, and the Nusselt number was found, subjected to constant surface temperature boundary conditions. The predicted results were restricted exclusively to porous media due to the adoption of Darcy and Forchheimer laws with forced flow. The paper explains the fluid flow and heat transfer on forced convection heat inside a saturated porous conduit. It is one of the first works that finds the Nusselt number in porous media. The results of this research are significant for scientific researchers and design engineers.