Classical and minimum entropy generation analyses for steady state conduction with temperature dependent thermal conductivity and asymmetric thermal boundary conditions: Regular and functionally graded materials

摘要: Abstract Minimum entropy generation (MEG) temperature profiles are derived for steady conduction in a plane wall, hollow cylinder and sphere compared with the classical results. Cases of constant thermal conductivity, dependent location conductivities each geometry analyzed. Results presented minimum illustrating effect asymmetry variable conductivity geometry. These results show that difference between MEG is largest when there strong asymmetry. For all three geometries, on temperatures moderate but its only small. Both rates, geometry, found to be functions variation parameter. Comparison reveals rate much higher than same radius ratio.