A novel solution for inverse heat conduction problem in one-dimensional medium with moving boundary and temperature-dependent material properties

Uyanna, Obinna; Najafi, Hamidreza

doi:10.1016/j.ijheatmasstransfer.2021.122023

Cited by 11 publications

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The solution to the inverse heat conduction problem is not unique and finding its exact solution is extremely difficult. − The inverse heat conduction problem for moving boundary conditions is mainly calculated using optimization algorithms (conjugate gradient method, , variable metric method (VMM), Newton–Raphson method, Levenberg–Marquardt method, etc.). However, the application of the inverse heat conduction problem with moving boundaries is mainly focused on the thermal protection system (TPS) of space vehicles without a phase change. For layer melt crystallization, Feng et al proposed a method based on an analytical and numerical solution to solve the cooling profile for a constant layer growth rate.…”

Section: Introductionmentioning

confidence: 99%

Purity-Targeted Prediction of the Cooling Profile in Layer Melt Crystallization via Thermal Approximation

Bai

Chang

Sun

et al. 2023

Ind. Eng. Chem. Res.

View full text Add to dashboard Cite

Predicting the cooling profile of layer melt crystallization based on the product purity or layer growth rate is an important practical topic. Herein, a numerical algorithm is proposed to give an approximate but quick solution to this inverse heat conduction problem. A thermal approximation method, in which the conduction heat of constant cooling temperature equals the required heat of crystallization at a radial location, was used to determine the cooling profile. The simulation results were verified using P-xylene as the model substance under conditions of either a constant layer growth rate or constant crystal layer purity. The results show that the error of the thermal approximation method can be neglected, and the experimental results meet the requirements. The linear relationship between the differential distribution coefficient and layer growth rate is determined. The cooling temperature at a constant layer growth rate keeps falling, while at constant layer purity, it rises after falling.

show abstract