Direct search optimization technique for the solution of inverse nonlinear heat conduction problem

作者：Mehta R C^*

来源：Indian Journal of Engineering and Materials Sciences, 2012, 19(1): 67-71.

• Inverse problem
• Thermal conductivity
• Heat conduction
• Rocket nozzle

An iterative procedure is used to calculate the transient temperature in a finite slab with temperature dependent thermal conductivity. Closed-form constant property solution is considered as the initial guess to solve the heat conduction equation. The results obtained by this method are in good agreement with the numerical solution. The iterative method for the solution of the nonlinear heat conduction equation has the advantage that temperatures can be directly found at any specified time and location whereas the numerical approach requires the development of temperature profile from right from the initial state. The present paper includes a direct search optimization method for the estimation of the convective heat transfer coefficient from the transient temperature data measured in one-dimensional finite slab with the linear variation of thermal conductivity with temperature. The direct search optimization method does not need calculation of the sensitivity coefficient. The algorithm does not depend on the future-temperature information. The convective heat transfer coefficients are estimated in a typical rocket nozzle using the measured transient temperature at the outer surface. The results computed by the present algorithm are in good agreement with the numerical solution.

• 出版日期2012-2
• 单位南阳理工学院