An Eigenvalues Approach for a Two-Dimensional Porous Medium Based Upon Weak, Normal and Strong Thermal Conductivities

被引：120

作者：

Alzahrani, Faris ^{[1
]}

Hobiny, Aatef ^{[1
]}

Abbas, Ibrahim ^{[1
,2
]}

Marin, Marin ^{[3
]}

机构：

[1] King Abdulaziz Univ, Math Dept, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21521, Saudi Arabia

[2] Sohag Univ, Fac Sci, Math Dept, Sohag 82524, Egypt

[3] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov 500093, Romania

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 05期

关键词：

eigenvalues approach; weak; normal and strong conductivity; Laplace-Fourier transforms; porous medium; FINITE-ELEMENT-ANALYSIS; FRACTIONAL ORDER THEORY; HALF-SPACE; SHOCK PROBLEM; PLANE-WAVES; THERMOELASTICITY; GENERATION; CYLINDER; STRESS;

D O I：

10.3390/sym12050848

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This work is devoted to the investigation of a two-dimensional porous material under weak, strong and normal conductivity, using the eigenvalues method. By using Laplace-Fourier transformations with the eigenvalues technique, the variables are analytically obtained. The derived technique is assessed with numerical results that are obtained from the porous mediums using simplified symmetric geometry. The results, including the displacements, temperature, stresses and the change in the volume fraction field, are offered graphically. Comparisons are made among the outcomes obtained under weak, normal and strong conductivity.

引用

页数：15

共 36 条

[1] Finite element analysis of the thermoelastic interactions in an unbounded body with a cavity
Abbas, Ibrahim A.
[J]. FORSCHUNG IM INGENIEURWESEN-ENGINEERING RESEARCH, 2007, 71 (3-4): : 215 - 222
[2] A DPL model of photothermal interaction in a semiconductor material
Abbas, Ibrahim A.
Alzahrani, Faris S.
Elaiw, Ahmed
[J]. WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 29 (02) : 328 - 343
[3] Analytical solution of thermoelastic interaction in a half-space by pulsed laser heating
Abbas, Ibrahim A.
Marin, Marin
[J]. PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2017, 87 : 254 - 260
[4] The effects of relaxation times and a moving heat source on a two-temperature generalized thermoelastic thin slim strip
Abbas, Ibrahim A.
[J]. CANADIAN JOURNAL OF PHYSICS, 2015, 93 (05) : 585 - 590
[5] Nonlinear transient thermal stress analysis of thick-walled FGM cylinder with temperature-dependent material properties
Abbas, Ibrahim A.
[J]. MECCANICA, 2014, 49 (07) : 1697 - 1708
[6] The Effect of Rotation and Initial Stress on Thermal Shock Problem for a Fiber-Reinforced Anisotropic Half-Space Using Green-Naghdi Theory
Abbas, Ibrahim A.
Zenkour, Ashraf M.
[J]. JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (02) : 331 - 338
[7] Generalized magneto-thermoelasticity in a nonhomogeneous isotropic hollow cylinder using the finite element method
Abbas, Ibrahim A.
[J]. ARCHIVE OF APPLIED MECHANICS, 2009, 79 (01) : 41 - 50
[8] Effect of thermal dispersion on free convection in a fluid saturated porous medium
Abbas, Ibrahim A.
El-Amin, M. F.
Salama, Amgad
[J]. INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2009, 30 (02) : 229 - 236
[9] Photo-Thermal Interactions in a Semiconducting Media with a Spherical Cavity under Hyperbolic Two-Temperature Model
Alzahrani, Faris S.
Abbas, Ibrahim A.
[J]. MATHEMATICS, 2020, 8 (04)
[10] THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS
BIOT, MA
[J]. JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) : 240 - 253

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