An Inverse Problem Method for Gas Temperature Estimation in Partially Filled Rotating Cylinders

The objective of this article is to study gas temperature estimation in a partially filled rotatingcylinder. from the measured temperatures on the shell, an inverse analysis is presented forestimating the gas temperature in an arbitrary cross-section of the aforementioned system. afinite-volume method is employed to solve the direct problem. by minimizing the objectivefunction, a hybrid effective algorithm, which contains a local optimization algorithm, is adoptedto estimate the unknown parameter. the measured data are simulated by adding random errors tothe exact solution. the effects of measurement errors on the accuracy of the inverse analysis areinvestigated. two optimization algorithms are used in determination of the gas temperature. theconjugate gradient method is found to be better than the levenberg-marquardt method, sincethe former produces more accurate results for the same measurement errors. a good agreementbetween the exact value and the estimated result has been observed for both algorithms.