COMPUTATION OF ONE DIMENSIONAL ONE PHASE STEFAN PROBLEMS
V.G. Naidu 1*, P. Kanakadurga Devi2
1* Adama Science and Technology University, Ethiopia.
2Department of Mathematics, MLR Institute of Technology, Hyderabad, India
1Email: naidoovedam@gmail.com *(Corresponding author)
2Email: durga.thulasi@gmail.com
Abstract:
To design an efficient device or to calculate the performance of existing device requires an accurate analysis of parameters involved in the system. In this work, an efficient front tracking finite difference method is developed to solve one dimensional single phase moving boundary problem with Neumann condition. The basic difficulty apart from the need to find the moving boundary presented, that there is no domain for the first phase at initial time. This difficulty is handled by the age old principle of basic mathematics. Naturally, giving symbolic names to the unknowns by modelling the problem, governing equations are developed with the conditions of the Stefan type problem, solved it and compared the obtained solutions with existing results wherever possible.
Keywords: Moving boundary problems, Interface, Green's theorem, One phase
https://doi.org/10.47412/VGMP9196
