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摘要
In this paper, the possibility of estimating the porosity distribution in a porous medium using inverse heat conduction method is explored. The thermal model is a one-dimensional porous medium enclosed by parallel plates for which the porosity is variable in space and the condition of nonthermal equilibrium between the fluid and solid phases prevails. The conjugate gradients method (CGM) along with the differential adjoint equations have been used under nonthermal equilibrium conditions between two phases to estimate the variant configuration of porous layers inside a channel. Derivation of the adjoint differential equations in the case of nonuniform porosity and calculation of gradient function from the coupled adjoint equations are presented in detail in the paper. Estimation of the porosity in the porous channel using measured temperature data leads to a nonlinear inverse heat transfer problem in which the direct heat conduction problem, sensitivity equations, and adjoint differential equations are coupled together. Different porosity distributions in the channel are examined to evaluate the performance of the presented inverse heat transfer method.
- 出版日期2012
