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Thermomechanical Waves in an Axisymmetric Rotating Disk Using Refined Green–Naghdi Models

Marwan A. Kutbi

Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

E-mail Address: mkutbi@kau.edu.sa

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and

Ashraf M. Zenkour

Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt

E-mail Address: zenkour@kau.edu.sa

E-mail Address: zenkour@sci.kfs.edu.eg

Corresponding author.

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https://doi.org/10.1142/S1758825121500356Cited by:9 (Source: Crossref)

Abstract

In this paper, four thermoelasticity models are applied to investigate the thermo-mechanical waves in an axisymmetric rotating disk. For this purpose, some modifications of Green and Naghdi’s generalized thermoelasticity theory have been made. These novel dual- and triple-phase-lag models are presented. The closed-form solution governing equations of thermomechanical waves in the rotating disk has been presented. Some validation results are tabulated to compare the simple and refined dual- and triple-phase lag models based upon the Green–Naghdi theory. The effects of dimensionless time and angular speed on all variables are investigated. The validity of results is acceptable and benchmark results are tabulated to aid other researchers in their upcoming comparisons.

Keywords:

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