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

DOI10.1016/j.amc.2017.09.013zbMath1428.80006OpenAlexW2756974843MaRDI QIDQ2008035

Majid Ali, Muhammad Zubair, Muhammad Zeeshan Khalid

Publication date: 22 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.09.013

zbMATH Keywords

Rayleigh numberBiot numbereigenfunction expansion methodStefan numberforced and natural convection

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (3)

Moving interfaces in peridynamic diffusion models and the influence of discontinuous initial conditions: numerical stability and convergence ⋮ Asymptotic analysis of a two-phase Stefan problem in annulus: application to outward solidification in phase change materials ⋮ Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy

Uses Software

• Mathematica

Cites Work

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• THE EIGENFUNCTION EXPANSION METHOD IN MULTI‐FACTOR QUADRATIC TERM STRUCTURE MODELS
• A Comparative Study of Numerical Methods for Moving Boundary Problems
• Heat conduction in a melting solid
• Propagation of a Boundary of Fusion

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