Two-dimensional solidification in a cylindrical mold with imperfect mold contact

DOI10.1016/0020-7225(85)90122-3zbMath0576.73120OpenAlexW2090906638MaRDI QIDQ1064877

B. George

Publication date: 1985

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(85)90122-3

zbMATH Keywords

meltmoving boundaryheat transfer coefficientinitial conditionsboundarytemperature distributionsinterface conditionsimperfect contactembedding techniqueconditionsassuming fictitious initial temperaturesfunction of space and timelong cylindrical moldnondimensional differential equationsShort-time exact analytical solutionssubstantial solidified thicknessSufficient conditions for the commencement of the solidificationsuitable fictitious extensionssuperheated liquidtwo-dimensional axisymmetric problem of solidification

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Thermodynamics in solid mechanics (74A15) Soil and rock mechanics (74L10) Theories of friction (tribology) (74A55)

Related Items (2)

Heat transfer with solid liquid phase change initiating at a point in a semi-infinite mold ⋮ Melting of a long cylinder due to an axisymmetric hot spot

Cites Work

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• Two-dimensional heat conduction with phase change in a semi-infinite mould
• On free boundary problems with arbitrary initial and flux conditions
• Accurate solutions of moving boundary problems using the enthalpy method
• Heat conduction with a phase change in a cylindrical mould
• ON SOLIDIFICATION PROBLEMS INCLUDING THE DENSITY JUMP AT THE MOVING BOUNDARY
• A Comparative Study of Numerical Methods for Moving Boundary Problems
• The Stefan problem with arbitrary initial and boundary conditions
• A Method of Heat Conduction Analysis of Melting and Solidification Problems
• A numerical solution for the symmetric melting of spheres

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