Thomson effect with hyperbolic two-temperature on magneto-thermo-visco-elasticity

被引:11
作者
Alharbi, A. M. [1 ]
Othman, M. I. A. [2 ]
Atef, H. M. [3 ]
机构
[1] Taif Univ, Dept Math, Coll Sci, At Taif 21944, Saudi Arabia
[2] Zagazig Univ, Fac Sci, Dept Math, Zagazig 44519, Egypt
[3] Damanhur Univ, Fac Sci, Dept Math, Damanhur 22511, Egypt
关键词
thermo-visco-elasticity; magnetic field; hyperbolic two-temperature; Lord-Shulman's theory; Thomson coefficient; normal mode analysis; O343; THERMOELASTICITY; FLUID; FIELD; FLOW;
D O I
10.1007/s10483-021-2763-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The study considers a homogeneous isotropic thermo-visco-elastic solid with hyperbolic two-temperature to cope up with its two-dimensional (2D) deformations. The heat conduction equation is influenced by the Thomson coefficient. Lord-Shulman's theory is used to modify the basic governing equations. A method called "normal mode analysis" is utilized to attain the magnetic field, stress, conductive and thermodynamic temperature, and displacement components. Also, a number of numerical calculations are performed and discussed to understand the impact of hyperbolic two-temperatures, Thomson parameter, and viscosity on the material mentioned above.
引用
收藏
页码:1311 / 1326
页数:16
相关论文
共 31 条
[1]  
Abd-Alla AM, 2016, CMC-COMPUT MATER CON, V51, P63
[2]   On the Effect of Thomson and Initial Stress in a Thermo-Porous Elastic Solid under G-N Electromagnetic Theory [J].
Abd-Elaziz, Elsayed M. ;
Marin, Marin ;
Othman, Mohamed I. A. .
SYMMETRY-BASEL, 2019, 11 (03)
[3]   THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS [J].
BIOT, MA .
JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) :240-253
[4]  
Boley B.A., 1962, Journal of Applied Mechanics, V29, P637, DOI [10.1115/1.3640647, DOI 10.1115/1.3640647]
[5]   Stability of Multidimensional Thermoelastic Contact Discontinuities [J].
Chen, Gui-Qiang G. ;
Secchi, Paolo ;
Wang, Tao .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2020, 237 (03) :1271-1323
[6]   ON A THEORY OF HEAT CONDUCTION INVOLVING 2 TEMPERATURES [J].
CHEN, PJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1968, 19 (04) :614-&
[7]   Relative Entropy for Hyperbolic-Parabolic Systems and Application to the Constitutive Theory of Thermoviscoelasticity [J].
Christoforou, Cleopatra ;
Tzavaras, Athanasios E. .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 229 (01) :1-52
[8]   Effect of magnetic field on thermos: Viscoelastic cylinder subjected to a constant thermal shock [J].
El Sherif, Shadia Fathi Mohamed ;
Ismail, Mahmoud A. ;
El-Bary, A. A. ;
Atef, Haitham M. .
INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2020, 7 (01) :117-124
[9]   Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface [J].
Ellahi, Rahmat ;
Zeeshan, Ahmed ;
Hussain, Farooq ;
Abbas, Tehseen .
SYMMETRY-BASEL, 2019, 11 (05)
[10]  
Hetnarski R.B., 1986, THERMAL STRESSES