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Showing papers on "Stefan number published in 1981"


Journal ArticleDOI
TL;DR: In this paper, the authors applied the integral method to study the effects of the natural convection on the melting of a solid around a hot horizontal cylinder, and demonstrated that the melting process is affected by the following five dimensionless parameters: subcooling; Rayleigh, Stefan and Prandtl numbers; and the ratio of thermal diffusivities.

30 citations


Journal ArticleDOI
01 Dec 1981
TL;DR: In this article, the authors considered one-dimensional heat transfer model for the freeze-coating of a polymeric substance on a continuously moving sheet and on an axially moving cylinder and obtained analytical expressions for the frozen-coat thickness; also presented the solutions for an upper bound on the thickness of the frozenlayer using thermodynamic equilibrium conditions.
Abstract: This paper considers one-dimensional heat transfer model for the freeze-coating of a polymeric substance on a continuously moving sheet and on an axially moving cylinder. Analytical expressions are obtained for the freeze-coat thickness; also presented the solutions for an upper bound on the thickness of the frozenlayer using thermodynamic equilibrium conditions. Effect of Stefan number on freeze-coat thickness is briefly discussed and also the application of the present results with an example.

16 citations


Journal ArticleDOI
TL;DR: The heat transfer problem for cylinders embedded in a medium with variable thermal properties cannot be solved exactly if phase change occurs, and approximate solutions have been found using the quasi-steady method as discussed by the authors.
Abstract: The heat transfer problem for cylinders embedded in a medium with variable thermal properties cannot be solved exactly if phase change occurs. Approximate solutions have been found using the quasi-steady method. The temperature field, phase change location, and pipe surface heat transfer can be estimated using graphs presented for parametric ranges of temperature, thermal properties, burial depth, and insulation thickness. The accuracy of the graphs increases as the Stefan number decreases and they should be of particular value for insulated hot pipes or refrigerated gas lines.

15 citations


Journal ArticleDOI
A. D. Solomon1
TL;DR: In this article, the Stefan number St is described as the ratio of sensible to latent heat in a phase change process and it is shown that St does indeed approximate twice that ratio, and that the ratio is independent of time.

8 citations