An inverse hyperbolic heat conduction problem is solved in the present study by an iterative regularization method, that is, the conjugate gradient method, to estimate simultaneously two unknown boundary heat fluxes based on the interior temperature measurements. The inverse solutions will be justified based on the numerical experiments in which two specific cases in determining the unknown boundary heat flux distributions are examined. Results show that the inverse solutions can always be obtained with any arbitrary initial guesses of the boundary heat fluxes and that the position of each sensor should be as close to each boundary as possible to obtain accurate estimations. Finally, it is concluded that accurate boundary heat fluxes can be estimated in the present study when large measurement errors are considered.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Aerospace Engineering
- Mechanical Engineering
- Fluid Flow and Transfer Processes
- Space and Planetary Science