An inverse problem is examined in the present study by an iterative regularization method, i.e., the conjugate gradient method, and commercial package CFD-ACE+ in estimating the unknown base heat flux of an irregular shape fin based on one sensor measurements with time. Results obtained in this inverse problem will be justified based on the numerical experiments, where three different fin base heat fluxes distributions are to be determined. Results show that the inverse solutions can always be obtained accurately with exact measurements. Moreover, the drawbacks of the previous study for this identical inverse problem, such as 1) estimations depend strongly on the number of future time steps, but the optimum number for future time steps is unknown in any real estimations and 2) at least two measure positions are needed to obtain reliable inverse solutions, can both be avoided by applying the present algorithm. Finally, it is concluded that accurate base heat fluxes of a fin can be estimated in the present study, even when measurement errors are included.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Aerospace Engineering
- Mechanical Engineering
- Fluid Flow and Transfer Processes
- Space and Planetary Science