Wyniki wyszukiwania - BazTech

1

On wave propagation in a random micropolar generalized thermoelastic medium

Mitra M., Bhattacharyya R. K.

Archives of Thermodynamics

|

2017

|

Vol. 38, no. 2

21--60

EN

This paper endeavours to study aspects of wave propagation in a random generalized-thermal micropolar elastic medium. The smooth perturbation technique conformable to stochastic differential equations has been employed. Six different types of waves propagate in the random medium. The dispersion equations have been derived. The effects due to random variations of micropolar elastic and generalized thermal parameters have been computed. Randomness causes change of phase speed and attenuation of waves. Attenuation coefficients for high frequency waves have been computed. Second moment properties have been briefly discussed with application to wave propagation in the random micropolar elastic medium. Integrals involving correlation functions have been transformed to radial forms. A special type of generalized thermo-mechanical auto-correlation functions has been used to approximately compute effects of random variations of parameters. Uncoupled problem has been briefly outlined.

2

Thermal Instability in a Rotating Micropolar Viscoelastic Fluid Layer Under the Effect of Electric Field

Othman M. I. A., Zaki S. A.

Mechanics and Mechanical Engineering

|

2008

|

Vol. 12, nr 2

171-184

EN

The problem of onset of convective instability in a dielectric micropolar viscoelastic fluid (Walters' liquid B') heated from below confined between two horizontal plates under the simultaneous action of the rotation of the system, vertical temperature gradient, one relaxation time and vertical electric field is considered. Linear stability theory is used to derive an eigenvalue of twelve order, and an exact eigenvalue equation for a neutral instability is obtained. Under somewhat artificial boundary conditions, this equation can be solved exactly to yield the eigenvalue relationship from which various critical values are determined in detail. Critical Rayleigh heat numbers and wave number for the onset of instability are presented graphically as a function of rotation at a certain value of the Prandtl number, for various values of the relaxation time, the Rayleigh electric number, the elastic parameter and micropolar parameters.

3

Interactions due to inclined load at micropolar elastic half-space with voids

Kumar R., Ailawalia P.

International Journal of Applied Mechanics and Engineering

|

2005

|

Vol. 10, no 1

109-122

EN

The analytic expressions for the displacements, microrotation, stresses and volume fraction field on the free surface of a micropolar elastic half-space with voids as a result of moving an inclined load have been obtained. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The problem has been solved by employing the Eigen-value approach after using the Fourier transform as the use of matrix notation avoids unwidely mathematical expressions. The technique used in the present paper is simple, straightforward and convenient for numerical computations. The variations of the displacements, stresses and volume fraction field with the horizontal distance have been shown graphically for a particular model. A special case has also been discussed.