Estimation of Boundary Conditions in the Presence of Unknown Moving Boundary Caused by Ablation
Document Type
Article
Publication Date
2-1-2011
Description
Ablative materials can sustain very high temperatures in which surface thermochemical processes are significant enough to cause surface recession. Existence of moving boundary over a wide range of temperatures, temperature-dependent thermophysical properties of ablators, and no prior knowledge about the location of the moving surface augment the difficulty for predicting the exposed heat flux at the receding surface of ablators. In this paper, the conjugate gradient method is proposed to estimate the unknown surface recession and time-varying net surface heat flux for these kinds of problems. The first order Tikhonov regularization is employed to stabilize the inverse solution. Considering the complicated phenomena that are taking place, it is shown via simulated experiment that unknown quantities can be obtained with reasonable accuracy using this method despite existing noises in the measurement data.
Citation Information
Molavi, Hosein; Hakkaki-Fard, Ali; Molavi, Mehdi; Rahmani, Ramin K.; Ayasoufi, Anahita; and Noori, Sahar. 2011. Estimation of Boundary Conditions in the Presence of Unknown Moving Boundary Caused by Ablation. International Journal of Heat and Mass Transfer. Vol.54(5-6). 1030-1038. https://doi.org/10.1016/j.ijheatmasstransfer.2010.11.035 ISSN: 0017-9310