Abstract
The present paper is devoted to solving a nonlinear inverse problem of identifying a Robin coefficient from boundary temperature measurement. A numerical algorithm on the basis of the predictor-corrector method is designed to restore the approximate solution and the performance of the method is verified by simulating several examples. The convergence with respect to the amount of noise in the data is also investigated.
Highlights
Inverse heat conduction problems have important applications in many branches of engineering and science, including the identification of unknown source [1,2,3], identification of unknown heat transfer coefficients [4, 5], determination of boundary conditions [6], and thermal properties [7, 8]
The present paper is devoted to solving a nonlinear inverse problem of identifying a Robin coefficient from boundary temperature measurement
It consists of estimating a heat transfer coefficient, known as a Robin coefficient, which characterizes the contribution that an interface makes to the overall thermal resistance to the system
Summary
Inverse heat conduction problems have important applications in many branches of engineering and science, including the identification of unknown source [1,2,3], identification of unknown heat transfer coefficients [4, 5], determination of boundary conditions [6], and thermal properties [7, 8]. We investigate an inverse problem arising in transient convective heat transfer. It consists of estimating a heat transfer coefficient, known as a Robin coefficient, which characterizes the contribution that an interface makes to the overall thermal resistance to the system. Partial boundary temperature and heat flux measurements are used as input to heat conduction models to extract the heat transfer coefficient values by solving a Cauchy linear inverse heat conduction problem. We propose a high-efficiency iterative method based on the characteristics of the equation itself, that is, the predictor-corrector method, to solve the nonlinear inverse problem of identifying a time-dependent Robin coefficient.
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