An analytical method for the solution of two phase Stefan problem in cylindrical geometry

作者:

Highlights:

• Two phase Stefan problem in circular cylindrical geometry solved by eigen function expansion method.

• Forced and natural convection effects studied by varying Biot and Rayleigh number.

• Stefan number effect – phase change process progress rapidly at higher Stefan value during melting.

• Convective heat transfer accelerated the heat transfer rate.

• Comparison with exact solution at different thermal diffusivity values.

摘要

•Two phase Stefan problem in circular cylindrical geometry solved by eigen function expansion method.•Forced and natural convection effects studied by varying Biot and Rayleigh number.•Stefan number effect – phase change process progress rapidly at higher Stefan value during melting.•Convective heat transfer accelerated the heat transfer rate.•Comparison with exact solution at different thermal diffusivity values.

论文关键词:Eigen function expansion method,Forced and natural convection,Rayleigh number,Stefan number,Biot number

论文评审过程:Received 2 March 2016, Revised 3 June 2017, Accepted 8 September 2017, Available online 28 September 2017, Version of Record 15 October 2018.

论文官网地址:https://doi.org/10.1016/j.amc.2017.09.013