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Finite difference technique to solve a problem of generalized thermoelasticity on an annular cylinder under the effect of rotation
Numerical Methods for Partial Differential Equations ( IF 3.9 ) Pub Date : 2021-01-23 , DOI: 10.1002/num.22753
Abdelmooty M. Abd‐Alla 1 , Sayed M. Abo‐Dahab 2, 3 , Araby A. Kilany 1
Affiliation  

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.

中文翻译:

解决旋转作用下圆柱体广义热弹性问题的有限差分技术

本文估计了旋转对广义热弹性模型的作用,该模型包含一个无限长的环形各向同性圆柱体的一个热松弛时间,该圆柱体具有随温度变化的物理特性。在旋转作用下使用有限差分技术对此进行了数值求解,并以图形方式显示了热通量衰减对所获得组件的影响。数值结果表明了各种参数的影响。提供了当前结果与其他人忽略新参数而获得的先前结果之间的比较。
更新日期:2021-03-30
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