Interactions due to inclined loads in a microstretch thermoelastic medium with mass diffusion

2016 ◽  
Author(s):  
Devinder Singh
Keyword(s):  
Mass Diffusion ◽  
Thermoelastic Medium ◽  
Inclined Loads

Rayleigh waves in generalized thermoelastic medium with mass diffusion

2015 ◽  
Vol 93 (10) ◽  
pp. 1039-1049 ◽  
Author(s):  
Rajneesh Kumar ◽  
Vandana Gupta
Keyword(s):  
Mathematical Model ◽  
Phase Velocity ◽  
Rayleigh Waves ◽  
Polynomial Equation ◽  
Mass Diffusion ◽  
Thermoelastic Medium ◽  
Special Cases ◽  
Generalized Thermoelastic ◽  
Thermoelastic Solid ◽  
Phase Velocity And Attenuation

This paper is concerned with the study of propagation of Rayleigh waves in a homogeneous isotropic generalized thermoelastic solid half space with mass diffusion in the context of the Lord–Shulman (Lord and Shulman. J. Mech. Phys. Solids. 15, 299 (1967)) and Green–Lindsay (Green and Lindsay. J. Elasticity. 2, 1 (1972)) theories of thermoelasticity. The medium is subjected to stress-free, isothermal, isoconcentrated boundary. After developing a mathematical model, the dispersion curve in the form of a polynomial equation is obtained. The roots of this polynomial equation are verified for not satisfying the original dispersion equation and therefore are filtered out and the remaining roots are checked with the property of decay with depth. Phase velocity and attenuation coefficient of the Rayleigh wave are computed numerically. The numerically simulated results are depicted graphically. The behavior of the particle motion is studied for the propagation of Rayleigh waves under Lord–Shulman model. Some special cases are also deduced from the present investigation.

Effect of phase-lags on Rayleigh wave propagation in thermoelastic medium with mass diffusion

2015 ◽  
Vol 11 (4) ◽  
pp. 474-493 ◽  
Author(s):  
Rajneesh Kumar ◽  
Vandana Gupta
Keyword(s):  
Wave Propagation ◽  
Rayleigh Wave ◽  
Secular Equation ◽  
Mass Diffusion ◽  
Phase Lag ◽  
Dual Phase ◽  
Thermoelastic Medium ◽  
Thermoelastic Diffusion ◽  
Content Type ◽  
Phase Lags

Purpose – The purpose of this paper is to study the propagation of Rayleigh waves in thermoelastic medium with mass diffusion. Design/methodology/approach – The field equations for the linear theory of homogeneous isotropic thermoelastic diffusion medium are taken into consideration by using dual-phase-lag heat transfer (DPLT) and dual-phase-lag diffusion (DPLD) models. Using the potential functions and harmonic wave solution, three coupled dilatational waves and a shear wave is obtained. After developing mathematical formulation, the dispersion equation is obtained, which results to be complex and irrational. This equation is converted into a polynomial form of higher degree. Findings – From the polynomial equation, Rayleigh wave root is found. The secular equation is resolved into a polynomial form to find the roots and therefore to find the existence and propagation of Rayleigh wave. The existence of Rayleigh wave in the assumed model depends on the values of various parameters involved in the secular equation. These roots are resolved for phase velocity and attenuation of the inhomogeneous propagation of Rayleigh wave. Behavior of particle motion of these waves inside and at the surface of the thermoelastic medium with mass diffusion is studied. Particular cases of the interest are also deduced from the present investigation. Originality/value – Governing equations corresponding to DPLT and DPLD models of thermoelastic diffusion are formulated to study the wave propagation and their dependence on various material parameters. In this paper effects of thermal and diffusion phase lags on the phase velocity, attenuation and on particle paths are observed and depicted graphically.

Burgers fluid flow in perspective of Buongiorno’s model with improved heat and mass flux theory for stretching cylinder

2020 ◽  
Vol 92 (3) ◽  
pp. 31101
Author(s):  
Zahoor Iqbal ◽  
Masood Khan ◽  
Awais Ahmed
Keyword(s):  
Diffusion Process ◽  
Mathematical Formulation ◽  
Thermal Relaxation ◽  
Mass Diffusion ◽  
Stretching Cylinder ◽  
Discussion Section ◽  
Buongiorno’S Model ◽  
Homotopy Analysis ◽  
Burgers Fluid ◽  
Diffusion Phenomena

In this study, an effort is made to model the thermal conduction and mass diffusion phenomena in perspective of Buongiorno’s model and Cattaneo-Christov theory for 2D flow of magnetized Burgers nanofluid due to stretching cylinder. Moreover, the impacts of Joule heating and heat source are also included to investigate the heat flow mechanism. Additionally, mass diffusion process in flow of nanofluid is examined by employing the influence of chemical reaction. Mathematical modelling of momentum, heat and mass diffusion equations is carried out in mathematical formulation section of the manuscript. Homotopy analysis method (HAM) in Wolfram Mathematica is utilized to analyze the effects of physical dimensionless constants on flow, temperature and solutal distributions of Burgers nanofluid. Graphical results are depicted and physically justified in results and discussion section. At the end of the manuscript the section of closing remarks is also included to highlight the main findings of this study. It is revealed that an escalation in thermal relaxation time constant leads to ascend the temperature curves of nanofluid. Additionally, depreciation is assessed in mass diffusion process due to escalating amount of thermophoretic force constant.

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