Eur. Phys. J. Plus (2022) 137: 770
https://doi.org/10.1140/epjp/s13360-022-02951-w

Regular Article

Role of viscoelasticity on thermoelectromechanical system subjected to annular regions of cylinders in the existence of a uniform inclined magnetic field

¹ Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan
² Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Pakistan
³ Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, 11912, Al-Aflaj, Saudi Arabia
⁴ Department of Mathematics, Faculty of Science, Damietta University, 34517, New Damietta, Damietta, Egypt
⁵ Mechanical Engineering Department, Engineering College, King Abdulaziz University, Jeddah, Saudi Arabia
⁶ Aerospace Engineering Department, King Abdulaziz University, 21589, Jeddah, Saudi Arabia
⁷ Institute of Ground Water Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein, South Africa

^e kashif.abro@faculty.muet.edu.pk

Received: 9 December 2021
Accepted: 14 June 2022
Published online: 5 July 2022

Abstract

Thermal mechanical and thermal electrical properties play an adhesive role in the characterization of a dilatometer, dynamic-mechanical thermal analyzer, and dissipation of the heat in electronic packaging systems, respectively. In this paper, an unsteady fractional model of rotational flow for Xanthan gum between two cylinders in the existence of a uniform inclined magnetic field is investigated. For the sake of thermal–mechanical and thermal electrical effects, a fractional model based on Caputo–Fabrizio time-fractional derivative is developed. The Laplace transform technique has been employed to trace out numerical solutions subject to imposed boundaries. The fractional factors are also examined by depicting graphs to have their functional profiles of temperature and velocity distribution. The correlation among the fractional factors and rotation of cylinders are deliberated for the profiles of temperature and velocity distribution subject to smaller or larger estimations of time.