A shear surface wave at the interface of an elastic body and a micropolar liquid

Kaur

2016

Journal of Fluids

In the present investigation, we study the propagation of plane waves in heat conducting micropolar fluid. The phase velocity, attenuation coefficient, specific loss, and penetration depth are computed numerically and depicted graphically. In addition, the fundamental solutions of the system of differential equations in case of steady oscillations are constructed. Some basic properties of the fundamental solution and special cases are also discussed.

Section: Introductionmentioning

confidence: 99%

Plane Waves and Fundamental Solutions in Heat Conducting Micropolar Fluid

Kaur

2016

Journal of Fluids

“…Boschi (1973), Maugin (1974), Yerofeyev andSoldatov (1999), Erofeev (2003), Altenbach et al (2010), Eremeyev et al (2007), Eremeyev (2005).…”

Section: Introductionmentioning

confidence: 99%

Propagation of waves in micropolar generalized thermoelastic materials with two temperatures bordered with layers or half-spaces of inviscid liquid

Lat. Am. j. solids struct.

Kaur²,

Rajvanshi³

2014

The aim of the present paper is to study the propagation of Lamb waves in micropolar generalized thermoelastic solids with two temperatures bordered with layers or half-spaces of inviscid liquid subjected to stress-free boundary conditions in the context of Green and Lindsay (G-L) theory. The secular equations for governing the symmetric and skew-symmetric leaky and nonleaky Lamb wave modes of propagation are derived. The computer simulated results with respect to phase velocity, attenuation coefficient, amplitudes of dilatation, microrotation vector and heat flux in case of symmetric and skew-symmetric modes have been depicted graphically. Moreover, some particular cases of interest have also been discussed.

“…A large class of fluids such as anisotropic fluids, liquid crystals with rigid molecules, magnetic fluids, cloud with dust, muddy fluids, biologicaltropic fluids, dirty fluids (dusty air, snow) over airfoil can be modeled more realistically as micropolar fluids. Various authors notably (Eringen, 1990; Yerofeyev and Soldatov, 1999; Yeremeyev and Zubov, 1999; Hsia and Cheng, 2006; Hsia et al , 2007) investigated different types of problem in micropolar fluid and heat conducting micropolar fluid.…”

Section: Introductionmentioning

confidence: 99%

Propagation of waves at an imperfect boundary between heat conducting micropolar thermoelastic solid and fluid media

Multidiscipline Modeling in Materials and Structures

Kaur²,

Rajvanshi³

2012

Purpose -The purpose of this paper is to establish a mathematical model to investigate the propagation of waves at an imperfect boundary between heat conducting micropolar elastic solid and fluid media. Design/methodology/approach -Wave propagation and reflection methods have been applied to solve the problem. The expressions for refiection and transmission coefflcients are obtained. The corresponding derivation for the normal force stiffness, transverse force stiffness, transverse couple stiffness and perfect bonding has also been included. Findings -A computer program is developed and numerical results are computed to obtain the reflection and transmission coefficients of various reflected waves with incident waves. Some special and particular cases are also discussed. Originality/value -In this paper, stiffness effect on these amplitude ratios with the angle of incidence has been observed and depicted graphically.