A Convection Stefan Problem by Lagrange-Burmann Expansions.I.Small Time Solution

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概要

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• A convection Stefan problem with Newton's radiation condition has been solvedby a power series method based on the method of Lagrange-Bflrmann expansion.After formulating the moving boundary problem as a fixed boundary problem byvariable transformation, a series solution is developed in powers of a new 'time-like'variable. The nonlinear interfacial and boundary conditions reduce to Lagrange-Bflr-mann expansions for new dependent variables from which the interface position andthe wall temperature functions are recovered by inverting the transformation. Com-pared with the classical series solution, the convergence of the new expansions ismarkedly improved, in fact extending over the erntire physical time domain of Zs[0,II:X)) for sufficiently small Stefan number.

• 社団法人日本物理学会の論文
• 1985-12-15

著者

• Tokuda Naoyuki

  Faculty Of General Education Utsunomiya University

• Tokuda Naoyuki

  Faculty of General Education,Utsunomiya University

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• A Convection Stefan Problem by Lagrange-Burmann Expansions.I.Small Time Solution

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