Journal Article

An Unsteady Couple Stress and Joule Heating Effects on Flow and Heat Transfer of Magnetized Maxwell Fluid in Squeezing Channel

Abstract

The combined impact of Joule heating and couple stress is investigated in this flow and heat analysis of fluid relaxation time (Maxwell fluid) between a parallel squeezable channel. The current non-Newtonian fluid examination in the squeezing channel encompasses the influence of couple stress, with the imposition of the magnetic field, both constant and variable, radiation, dissipation, and Joule heating. The appropriate similarity variables were utilized on the controlling flow partial differential equations (PDEs) to obtain the required ordinary differential equations (ODEs). The resulting ODEs are then solved numerically via the implementation of the collocation techniques with the Chebyshev polynomial as the basis function. Computational results in the table presented the accuracy and efficient use of the Chebyshev collocation method in comparison with the inbuilt 4th Order Runge Kutta Scheme. Among invaluable results presented in this report, it elucidates that the +ve squeezing number accelerates the flow velocities and declines the Maxwell fluid temperature. In contrast, the -ve squeezing number gives an opposing characterization of fluid velocities and temperature. Moreover, the couple stress influence is found to magnify the flow distributions.

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