Photo-thermal interactions in a semi-conductor material with cylindrical cavities and variable thermal conductivity

被引：127
作者：
Abbas, Ibrahim [1 ,2 ]
Hobiny, Aatef [2 ]
Marin, Marin [3 ]
机构：
[1] Sohag Univ, Math Dept, Fac Sci, Sohag, Egypt
[2] King Abdulaziz Univ, Math Dept, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah, Saudi Arabia
[3] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov, Romania
来源：
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2020年 / 14卷 / 01期
关键词：
Eigenvalue approaches; cylindrical cavity; variable thermal conductivity; Laplace transforms; semiconductor medium; TRAVELING-WAVE SOLUTIONS; EIGENVALUE APPROACH; POROUS-MEDIUM; EQUATION; CYLINDER; STRESS; PLASMA; MODEL;
D O I：
10.1080/16583655.2020.1824465
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 study investigates the photo-thermo-elastic interaction in an infinite semi-conductor material with cylindrical cavities. The effect of variable thermal conductivity through the photo-thermo-elastic transport process is studied using the coupled models of thermo-elasticity and plasma waves. The internal surface of the cylindrical cavity is loaded by a thermal shock varying heat. The eigenvalue method, under Laplace transform scheme, is used to get the analytical solution of the studied field distribution as parts of this phenomenon. A detailed analysis of the impacts of the variable thermal conductivity on the physical fields is debated. The numerical outcomes of the studied fields are displayed graphically. According to them, the variable thermal conductivity offers finite speed of the mechanical wave and the thermal wave propagations.
引用
收藏
页码：1369 / 1376
页数：8
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