A study of dual phage lag model of heat transfer for solidification of binary eutectic alloy. (2023)

• Record Type: Journal Article
• Authors: Upadhyay, S.; Kaur, H.; Sharma, P.; Chauhan, A.; Kumar, S.; Rai, K.N.; Joshi, Poorvi K.
• Is Part Of: Materials today. Volume 73(2023)Part 1
• Page Start: 200
• Page End: 210
• Publication Date: 2023
• Subjects: Dual phase lag model (DPL) -- Binary eutectic system (BES) -- Spectral Galerkin method -- Legendre wavelet; Materials science -- Congresses -- Periodicals; 620.1
• DOI: 10.1016/j.matpr.2022.10.090
• Languages: English
• ISSNs: 2214-7853

Abstract

Abstract: In this paper, we developed a generalized non-Fourier model of energy transfer for solidification of a binary eutectic system (Al-Cu alloy). The mathematical model is divided into three stages: stage I (liquid region), II (liquid and mushy region), and III (liquid, mushy and solid region). The analysis of the model has been done in dimensionless form. This model is a boundary value problem of the system of second-order hyperbolic partial differential equations for Stage I, the moving boundary problem of the System of second-order hyperbolic partial differential equations for Stage II and III. For the solution, we applied Laplace transform technique in Stage I and Legendre wavelet spectral Galerkin method in Stage II and III. The effect of unit-less parameters: Relaxation time, Predvoditelev numbers, dimensionless thermal conductivity, Fourier numbers, Stefan number, solid fraction on temperature, and position of moving interface are discussed in detail.