An integral solution of moving boundary problems
type: Item
instance of: scholarly article
title: An integral solution of moving boundary problems
zbMATH Open document ID: 0588.76180
DOI: 10.1016/0017-9310(86)90239-5
author: M. Mashena
author: A. Haji-Sheikh
published in: International Journal of Heat and Mass Transfer
publication date: 1986-01-01T00:00:00Z
review text: An integral method is presented that utilizes Galerkin functions and leads to closed-form solutions for temperature distribution in the liquid and solid phase. Unlike methods using quasi-steady assumptions, this method retains the contribution of the internal heat capacity of solid and liquid, therefore, accommodating problems involving time-dependent temperature along the boundary. The method is applied to classical one- and two-dimensional solidification problems to test its accuracy. The agreement between this method and the existing one-dimensional boundary- layer integral method is excellent. The two-dimensional results for a square geometry are compared to the experimental data obtained for octadecane.
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 3945785
zbMATH Keywords: integral method
zbMATH Keywords: Galerkin functions
zbMATH Keywords: closed-form solutions for temperature distribution
zbMATH Keywords: internal heat capacity of solid and liquid
zbMATH Keywords: solidification problems
zbMATH Keywords: accuracy
zbMATH Keywords: one-dimensional boundary-layer integral method
zbMATH Keywords: two-dimensional results for a square geometry
MaRDI profile type: Publication
full work available at URL: 0017-9310(86)90239-5
OpenAlex ID: W2088933931
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description: scientific article; zbMATH DE number 3945785