摘要
The problem of one dimensional, nonstationary heat transfer was solved by the method of small parameter perturbation, thus, the partial differential equation was reduced to a system of ordinary differential equations. Then, the numerical method, i.e. the shooting method and superposition method was used to solve the system of ordinary differential equations. Finally, the influences of some parameters on temperature distribution, heat flux and fin efficiency were discussed. In addition to theoretical significance, the results are of practical significance for engineering design.
The problem of one dimensional, nonstationary heat transfer was solved by the method of small parameter perturbation, thus, the partial differential equation was reduced to a system of ordinary differential equations. Then, the numerical method, i.e. the shooting method and superposition method was used to solve the system of ordinary differential equations. Finally, the influences of some parameters on temperature distribution, heat flux and fin efficiency were discussed. In addition to theoretical significance, the results are of practical significance for engineering design.