—A numerical study of the conjugate natural convection heat transfer in a vertical cylindrical cavity having a vertical porous layer has been carried out. The vertical cylinder has a heat-conducting solid shell of finite thickness and conductivity. Convective heat exchange with an environment is modeled at the top and side walls while the bottom wall is adiabatic. The mathematical model has been formulated in dimensionless stream function, vorticity and temperature taking into account the Darcy-Boussinesq approximation for the porous layer. The boundary-value problem has been solved numerically on the basis of a second-order accurate finite difference method. Efforts have been focused on the effects of three types of influential factors such as the porous layer thickness, Biot number and dimensionless time on the fluid flow and heat transfer parameters. It has been found that an increase in the Biot number leads to an essential intensification of convective heat transfer at initial time level.
—Free convection, vertical cylinder, heat-conducting solid shell, Darcy porous layer.
Mikhail A. Sheremet is with the Department of Theoretical Mechanics, Tomsk State University, Tomsk, 634050 Russia (e-mail: Michaelfirstname.lastname@example.org).
Cite: Mikhail A. Sheremet, "Numerical Simulation of Conjugate Free Convection in a Vertical Cylinder Having Porous Layer," International Journal of Materials, Mechanics and Manufacturing vol. 5, no. 1, pp. 59-63, 2017.