Stability of finite perturbations of the phase transition interface for one problem of water evaporation in a porous medium

作者:

Highlights:

• Global dynamics of phase transition evaporation interfaces in horizontally extended domains of porous layers where a water located over a vapor is studied.

• The governing equations are reduced to the weakly nonlinear asymptotic equation in the form of Kolmogorov–Petrovsky–Piskounov.

• To verify the obtained results, the numerical solution of the problem of the motion of the phase transition interface is performed using the original program code.

摘要

•Global dynamics of phase transition evaporation interfaces in horizontally extended domains of porous layers where a water located over a vapor is studied.•The governing equations are reduced to the weakly nonlinear asymptotic equation in the form of Kolmogorov–Petrovsky–Piskounov.•To verify the obtained results, the numerical solution of the problem of the motion of the phase transition interface is performed using the original program code.

论文关键词:Porous medium,Evaporation,Interface,Turning point bifurcation,Stability,KPP equation

论文评审过程:Received 6 November 2019, Revised 6 February 2020, Accepted 8 March 2020, Available online 2 April 2020, Version of Record 2 April 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125208