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Wave Propagation in a Magneto-Micropolar Thermoelastic Medium with Two Temperatures for Three-Phase-Lag Model

Computers, Materials & Continua 2016年第4期52卷 1-24页

作者： Samia M.Said Department of Mathematics Faculty of ScienceZagazig UniversityP.O.Box 44519ZagazigEgypt

The present paper is concerned with the wave propagation in a micropolar thermoelastic solid with distinct two temperatures under the effect of the magnetic field in the presence of the gravity field and an internal heat *** formulation of the problem is applied in the context of the three-phase-lag model and Green-Naghdi theory without *** medium is a homogeneous isotropic thermoelastic in the *** exact expressions of the considered variables are obtained by using normal mode *** are made with the results in the two theories in the absence and presence of the magnetic field as well as the two-temperature parameter.A comparison is also made in the two theories for different values of an internal heat source.

关键词： Green-Naghdi theory internal heat source magnetic field micropolar three-phase-lag model two-temperature

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Classical Linear Stability Analysis of Energy Based internally heated Distributions on Bénard Porous Convection in a Micropolar Fluid Layer

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Journal of Electromagnetic Analysis and Applications 2022年第1期14卷 1-18页

作者： A. Pavithra C. E. Nanjundappa Department of Mathematics Dr. Ambedkar Institute of Technology Bengaluru India

The theoretical and numerical analysis is carried out on the effect of three types of configurations of Rayleigh-Bénard (RB) convection driven by the boundary combinations of Rigid-Rigid (R-R), Rigid-Free (R-F) and Free-Free (F-F). The RB convection models are distinguished by the three different temperature boundary conditions like: 1) RB1: lower and upper at fixed-temperature, 2) RB2: lower and upper with fixed-heat flux, or perfectly insulating and 3) RB3: bottom surface is fixed-temperature and top surface is fixed-heat flux. A Galerkin-type is based on the weighted residual method (WRM) which has been used to obtain the eigenvalue for gravity thermal Rayleigh number. It is noted that the porous medium of Darcy parameter and spin diffusion (couple stress) parameter N3 is to hasten coupling parameter N1 and micropolar heat conduction parameter N5 is to delay the onset of convection. Further, increase in the value of N1, N5, and as well as decrease in N3 is to diminish the size of convection cells.

关键词： Porous Medium Galerkin Method Micropolar heat Conduction Parameter internal heat source Fixed-heat Flux

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