Heat Transfer Due to Thermoelastic Wave Propagation in a Porous Rod

2021 ◽  
Vol 143 (4) ◽  
Author(s):  
Baljeet Singh
Keyword(s):  
Heat Transfer ◽  
Wave Propagation ◽  
Thermal Relaxation ◽  
Porous Solid ◽  
Governing Equations ◽  
Thermoelastic Wave ◽  
One Dimensional ◽  
Circular Frequency ◽  
Thermoelastic Waves ◽  
Homogeneous Linear

Abstract This paper investigates the propagation of thermoelastic waves in a homogeneous, linear, and isotropic porous solid. For physical and mathematical simplicity, one-dimensional wave propagation in a porous solid rod is considered to explain the concept of heat transfer caused by motion. The solutions of governing equations show that the transfer of heat in a porous rod is not only due to the conduction but also produced by the local particle displacement phenomenon. It is observed that the time-averaged transfer of heat depends on the circular frequency, porosity, thermal conductivity, thermal relaxation, specific heat, and other material coefficients.

Numerical Simulation of Elastic and Thermoelastic Wave Propagation in Two-Dimensional Classical and Generalized Coupled Thermoelasticity

2010 ◽  
Author(s):  
S. K. Hosseini zad ◽  
A. Komeili ◽  
A. H. Akbarzadeh ◽  
M. R. Eslami
Keyword(s):  
Wave Propagation ◽  
Two Dimensional ◽  
Governing Equations ◽  
Fe Method ◽  
Finite Element Scheme ◽  
Thermoelastic Wave ◽  
Virtual Displacement ◽  
Coupled Thermoelasticity ◽  
Time Domains ◽  
Thermoelastic Waves

This study concentrates on the simulation of elastic and thermoelastic wave propagation in two-dimensional thermoelastic regions based on the classical and generalized coupled thermoelasticity. A finite element scheme is employed to obtain the field variables directly in the space and time domains. The FE method is based on the virtual displacement and the Galerkin technique, which is directly applied to the governing equations. The Newmark algorithm is used to solve the FE problem in time domain. Solving 2D coupled thermoelasticity equations leads to obtain the distribution of temperature, displacement and stresses through the domain. The problem is solved for two different type of boundary conditions (BCs), and the behavior of temperature, displacement and stress waves according to these BCs and based on the classical and generalized coupled thermoelasticity theories are shown and compared with each other. Several characteristics of the thermoelastic waves in two-dimensional domains are discussed according to this analysis.

Thermal Response of a Transpiration-Cooled System in a Radiative and Convective Environment

1977 ◽  
Vol 99 (4) ◽  
pp. 628-633 ◽  
Author(s):  
H. Kubota
Keyword(s):  
Heat Transfer ◽  
Difference Method ◽  
Transfer Rate ◽  
Fluid Pressure ◽  
Thermal Response ◽  
Governing Equations ◽  
One Dimensional ◽  
Pressure Distributions ◽  
Back Face ◽  
Sample Case

The unsteady thermal response of a one-dimensional transpiration-cooled system in a radiative and convective environment is presented. The governing equations are solved by the Hartree-Womersley differential-difference method. The solid and fluid temperatures, the fluid pressure distributions, and the back-face heat transfer rate are obtained for a sample case of a 15 degree-entry into a Saturn nominal atmosphere.

scholarly journals The Propagation of Thermoelastic Waves in Anisotropic Media of Orthorhombic, Hexagonal, and Tetragonal Syngonies

2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
Nurlybek A. Ispulov ◽  
Abdul Qadir ◽  
Marat Zhukenov ◽  
Erkin Arinov
Keyword(s):  
Wave Propagation ◽  
Fundamental Solutions ◽  
Thermoelastic Medium ◽  
Thermoelastic Wave ◽  
Economic Implications ◽  
First Order ◽  
The Given ◽  
Thermoelastic Waves ◽  
Hexagonal Syngony ◽  
Equations Of Motions

The investigation of wave propagation in elastic medium with thermomechanical effects is bound to have important economic implications in the field of composite materials, seismology, geophysics, and so on. In this article, thermoelastic wave propagation in anisotropic mediums of orthorhombic and hexagonal syngony having heterogeneity along z-axis is studied. Such medium has second-order axis symmetry. By using analytical matriciant method, a set of equations of motions in thermoelastic medium are reduced to an equivalent set of the first-order differential equations. In the general case, for the given set of equations, structures of fundamental solutions are made and dispersion relations are obtained.

Sound Attenuation in Heterogeneous Porous Media Due to Viscous Effects

2003 ◽  
Author(s):  
A. Vadnjal ◽  
I. Catton
Keyword(s):  
Porous Media ◽  
Wave Propagation ◽  
Volume Averaging ◽  
Heterogeneous Porous Media ◽  
Governing Equations ◽  
Viscous Effects ◽  
One Dimensional ◽  
Media Comparison ◽  
The Media ◽  
Homogeneous Media

Volume averaging theory (VAT) is used to develop acoustic governing equations and consistent closure for one dimensional wave propagation in a heterogeneous porous media. These equations are based on continuum mechanics and scaled to delineate the parameters governing wave propagation in the media. The parameters can be evaluated for different media and be the basis for calculation of the performance of a given porous media. Comparison with experimental data are made and the comparison is very good. More general closure parameters will require experimental measurement to give appropriate models of non-homogeneous, media.

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