Abstract
In this work, the fractional mathematical model of an unsteady rotational flow of Xanthan gum (XG) between two cylinders in the presence of a transverse magnetic field has been studied. This model consists of two fractional parameters α and β representing thermomechanical effects. The Laplace transform is used to obtain the numerical solutions. The fractional parameter influence has been discussed graphically for the functions field distribution (temperature, velocity, stress and electric current distributions). The relationship between the rotation of both cylinders and the fractional parameters has been discussed on the functions field distribution for small and large values of time.
Highlights
In many engineering fields such as electrical, mechanical, and nuclear engineering, the study of the fluid flow coupled with heat transfer in rotating annuli has great importance in applications [1]
Thermo-electric magneto-hydro-dynamics (TEMHD) theory was originally developed by Shercliff for direct application in a fusion environment [18]
The Numerical results for the functions field distribution are represented graphically for different values of α and β with small and large values of time t. These graphs are analyzed for the counter direction rotation of two cylinders from which we can observe the physical behavior of these thermomechanical fractional parameters
Summary
The funder had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. The fractional mathematical model of an unsteady rotational flow of Xanthan gum (XG) between two cylinders in the presence of a transverse magnetic field has been studied. This model consists of two fractional parameters α and β representing thermomechanical effects. The fractional parameter influence has been discussed graphically for the functions field distribution (temperature, velocity, stress and electric current distributions). The relationship between the rotation of both cylinders and the fractional parameters has been discussed on the functions field distribution for small and large values of time
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