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The effect of gravity and diffusion on micropolar thermoelasticity with temperature-dependent elastic medium under G-N theory

Othman M. I. A., Hilal M. I. M., Elmaklizi Y. D.

Mechanics and Mechanical Engineering

2017

Vol. 21, nr 3

657--677

This article studies the effect of the gravity field and the diffusion on micropolar thermoelastic medium with dependence on the temperature properties. The analytic method used to obtain the exact formula of the physical quantities was the normal mode analysis. The comparisons established graphically in the presence and the absence of the gravity, the temperature-dependent properties, the diffusion and the micropolar in the context of two types of Green-Naghdi (G-N) theory II and III.

Gravity currents with temperature-dependent viscosity

King J. R., Riley D. S., Sansom A.

Computer Assisted Mechanics and Engineering Sciences

2000

Vol. 7, No. 3

251-277

The spreading of fluid under gravity occurs in both nature and man-made situations and has been the subject of many previous studies. Considerably less attention has been paid to cases in which there is a strong thermal coupling influencing the flow. In this paper, simple models of the spreading of materials with temperature-dependent viscosity are presented and features that are commonly seen in experiments, such as plateauing and fingering, are shown to result. A model which includes latent heat effects is also briefly outlined.