Influence of thermal boundary conditions on natural convection heat transfer (numerical analysis based on the adjoint problem)

摘要

A sensitivity analysis for general evaluation of the influence of thermal boundary conditions on the natural convection heat transfer is proposed. In order to seek the sensitivity function, we employ the perturbation formulas for the governing equations of the natural convection field and derive their adjoint operators. Then, the sensitivity function is obtained using the numerical solutions of the unperturbed heat transfer problem and the perturbed adjoint problem.