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A MATHEMATICAL MODEL FOR SOLIDIFICATION OF BINARY EUTECTIC SYSTEM INCLUDING RELAXATION TIME

卷 8, 册 1, 2016, pp. 11-30
DOI: 10.1615/ComputThermalScien.2016015663
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摘要

In this paper we have developed the time relaxation model for solidification of a binary eutectic system. In this model, we have considered the melt of a binary eutectic composite filled in a container; the flat probe is kept inside the container. The surface temperature of the flat probe decreases linearly with time. The solidification process occurs in three stages and, whole region is divided into solid, mushy, and liquid regions. The heat released in the mushy region is considered as discontinuous heat generation. The solid fraction present in the mushy region is characterized in two different ways: (i) when the solid fraction depends on distance and (ii) when the solid fraction depends on temperature. To solve this model we have developed the Legendre wavelets spectral Galerkin method. The whole analysis is presented in a dimensionless form and the results thus obtained are discussed in detail.

对本文的引用
  1. Yadav S., Upadhyay S., Rai K.N., Legendre Wavelet Modified Petrov–Galerkin Method in Two-Dimensional Moving Boundary Problem, Zeitschrift für Naturforschung A, 73, 1, 2017. Crossref

  2. Kumar Mukesh, Upadhyay Subrahamanyam, Rai K.N., A study of cryosurgery of lung cancer using Modified Legendre wavelet Galerkin method, Journal of Thermal Biology, 78, 2018. Crossref

  3. Kumar Mukesh, Upadhyay Subrahamanyam, Rai K.N., A study of heat transfer during cryosurgery of lung cancer, Journal of Thermal Biology, 84, 2019. Crossref

  4. Upadhyay Subrahamanyam, Rai K.N., A new iterative least square Chebyshev wavelet Galerkin FEM applied to dual phase lag model on microwave drying of foods, International Journal of Thermal Sciences, 139, 2019. Crossref

  5. Upadhyay Subrahamanyam, Singh Vineet K., Rai K. N., Finite difference Legendre wavelet collocation method applied to the study of heat mass transfer during food drying, Heat Transfer-Asian Research, 48, 7, 2019. Crossref

  6. Kaur Harpreet, Rai K.N., Upadhyay Subrahamanyam, A numerical study of moving boundary problem involving dual phase lag model of heat mass transfer during immersion frying, Mathematics and Computers in Simulation, 202, 2022. Crossref

  7. Kumar Mukesh, Rai K. N., Three phase bio-heat transfer model in three-dimensional space for multiprobe cryosurgery, Journal of Thermal Analysis and Calorimetry, 2022. Crossref

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