Analysis of Entropy Generation in Annular Porous Duct

This paper presents an analytical solution of the velocity and temperature fields in terms of the modified Bessel functions by including the viscous as well as the Darcy dissipations of a fully developed viscous and incompressible fluid, flowing between horizontal concentric annular ducts filled with a saturated porous medium. Both the circular boundaries are assumed to have constant heat fluxes. Using the obtained expressions of the velocity and temperature fields, the entropy generation rate and irreversibility ratio have been also obtained. The effects of the Brinkman number, Darcy number, Péclet number and viscosity ratio parameter on the temperature and entropy generation rate are given by using the graphs and tables. The numerical computation of the analytical solution shows that the heat flux applied at the outer cylindrical surface is more effective in comparison with the inner cylindrical surface on the temperature, entropy generation rate and irreversibility ratio.