Finite difference technique to solve a problem of generalized thermoelasticity on an annular cylinder under the effect of rotation

被引：8
作者：
Abd-Alla, Abdelmooty M. [1 ]
Abo-Dahab, Sayed M. [2 ,3 ]
Kilany, Araby A. [1 ]
机构：
[1] Sohag Univ, Fac Sci, Math Dept, Sohag, Egypt
[2] South Valley Univ, Fac Sci, Dept Math, Qena, Egypt
[3] Luxor Univ, Fac Comp & Informat, Dept Comp Sci, Luxor, Egypt
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 37卷 / 03期
关键词：
annular cylinder; finite difference technique; generalized thermoelasticity; rotational; thermal relaxation time; COUPLED THERMOELASTICITY; VOIDS; FIELD;
D O I：
10.1002/num.22753
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article estimates the action of rotation on a generalized thermoelasticity model which contains one thermal relaxation time for an infinitely long, annular, isotropic cylinder with temperature-dependent physical properties. This is numerically solved using the finite difference technique under the effect of rotation, and the effect of decaying heat flux on the obtained components is graphically presented. Numerical results are presented to show the influence of the various parameters. A comparison between the current results and previous results obtained by others neglecting the new parameters is provided.
引用
收藏
页码：2634 / 2646
页数：13
相关论文
共 27 条
[1]   Analytical solution of thermoelastic interaction in a half-space by pulsed laser heating [J].
Abbas, Ibrahim A. ;
Marin, Marin .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2017, 87 :254-260
[2]   Effect of several fields on a generalized thermoelastic medium with voids in the context of Lord-Shulman or dual-phase-lag models [J].
Abd-Alla, A. M. ;
Abo-Dahab, S. M. ;
Kilany, A. A. .
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2022, 50 (11) :3901-3924
[3]  
Abd-Alla AM, 2007, APPL MATH INFORM SCI, V1, P79
[4]  
Abd-Alla AM, 2003, HEAT MASS TRANSFER, V39, P625, DOI [10.1007/s00231-002-0370-3, 10.1007/S00231-002-0370-3]
[5]   A numerical solution of magneto-thermoelastic problem in non-homogeneous isotropic cylinder by the finite-difference method [J].
Abd-El-Salam, M. R. ;
Abd-Alla, A. M. ;
Hosham, Hany A. .
APPLIED MATHEMATICAL MODELLING, 2007, 31 (08) :1662-1670
[6]   Long-term surgical outcome of Chiari type-I malformation-related syringomyelia: an experience of tertiary referral hospital [J].
Abdallah, Anas ;
cinar, Irfan ;
Guler Abdallah, Betul .
NEUROLOGICAL RESEARCH, 2022, 44 (04) :299-310
[7]   Influence of several fields on Rayleigh waves propagation in a fiber-reinforced orthotropic half-space material under four thermoelastic models [J].
Abo-Dahab, S. M. ;
Kilany, A. A. ;
Allam, M. N. M. ;
Mohamed, R. A. ;
Rida, S. Z. .
WAVES IN RANDOM AND COMPLEX MEDIA, 2022, 32 (05) :2197-2220
[8]   Electromagnetic field in fiber-reinforced micropolar thermoelastic medium using four models [J].
Abo-Dahab, S. M. ;
Abd-Alla, A. M. ;
Kilany, A. A. .
JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2020, 5 (03) :230-248
[9]   Effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids by using the Lord-Shulman and dual-phase-lag models [J].
Abo-Dahab, S. M. ;
Abd-Alla, A. M. ;
Kilany, A. A. .
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2019, 40 (08) :1135-1154
[10]   Rotation and magnetic field effects on P wave reflection from a stress-free surface of elastic half-space with voids under one thermal relaxation time [J].
Abo-Dahab, S. M. ;
Mohamed, R. A. ;
Singh, Baljeet .
JOURNAL OF VIBRATION AND CONTROL, 2011, 17 (12) :1827-1839
123