Modeling and Computation of Heat Transfer through Permeable Hollow-Pin Systems

Heat transfer inside permeable hollow-fin systems is analyzed in this work. Two types are considered: (A) the permeable hollow-pin, and (B) the permeable hollow joint-pin. The governing partial differential equations are solved numerically using a well-known implicit, iterative and finite-difference method. The numerical solutions are validated against various analytical solutions derived based on different constraints. It is found that the permeable hollow-pin can transfer more thermal energy than the solid pin when an external suction flow is present at the outer surfaces. Moreover, the maximum reported heat transfer rate due to permeable hollow-pin is 362 percent above that of solid pin at dimensionless suction flow number equals to 3.0. Furthermore, the maximum reported heat transfer rate due to permeable hollow joint-pin is 44 percent above that of the solid joint-pin at dimensionless suction flow number equals to 2.0. In addition, the permeable hollow joint-pin is found to be capable of transferring more thermal energy than the solid joint-pin at a specific joint-pin lengths ratio depending on the values of the various controlling parameters. Finally, this work demonstrates that by using combined heat transfer enhancement approaches, novel heat transfer enhancers can be proposed.