Abstract
In this work, the estimation of heat flux for one-dimensional transient heat conduction problem has been done with the help of the search-based conjugate gradient method with an adjoint problem. The finite volume approach is applied to discretize the differential equations which are solved by using developed in-house MATLAB code. The novelty of this paper is justified as the required temperature data to solve the CGM algorithm are obtained by using real-time experimentation instead of performing the numerical simulation. The RMS error of the estimation of heat flow is obtained from that we can conclude that the accuracy is increased by using multiple sensors. The value of estimated heat flux is affected by the measurement errors which is inherently present in the measurement data.
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