Adjoint Approach to Sensitivity Analysis of Convection Heat Transfer and Its Application to Heat Transfer Optimal Design

点击翻译按钮获取中文摘要

With recent progress in computer hardware and numerical simulation techniques, numerical prediction of heat transfer characteristics has been possible when the boundary conditions are specified. However, from the viewpoint of design or control, the prediction of boundary conditions to achieve the desired heat transfer characteristics is more significant than that of heat transfer characteristics under specific boundary conditions. In other words, the problem becomes inverse one.In this study, we proposed an adjoint approach to inverse analysis of boundary condition effects on convection heat transfer problems. The main features of the present approach can be summarized as follows:1. For linear forced convection problem, a numerical solution of the adjoint problem directly gives us the optimal thermal boundary conditions both in time and space to control the heat transfer at any given time.2. For general nonlinear convection problems, we can derive an adjoint system using perturbation principle. The adjoint solution gives us the sensitivity which enables us to optimize both thermal and flow boundary conditions when combined with gradient-based optimization strategies.