Browsing by Author "Imran, Muhammad Asjad"

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Citation Count: Ahmad, Mushtaq...et al. (2020). "Thermal Analysis of Magnetohydrodynamic Viscous Fluid with Innovative Fractional Derivative", Thermal Science, Vol. 24, pp. S351-S359.
Thermal Analysis of Magnetohydrodynamic Viscous Fluid with Innovative Fractional Derivative
(2020) Ahmad, Mushtaq; Imran, Muhammad Asjad; Baleanu, Dumitru; Alshomrani, Ali S.; 56389
In this study, an attempt is made to investigate a fractional model of unsteady and an incompressible MHD viscous fluid with heat transfer. The fluid is lying over a vertical and moving plate in its own plane. The problem is modeled by using the constant proportional Caputo fractional derivatives with suitable boundary conditions. The non-dimensional governing equations of problem have been solved analytically with the help of Laplace transform techniques and explicit expressions for respective field variable are obtained. The transformed solutions for energy and momentum balances are appeared in terms of series form. The analytical results regarding velocity and temperature are plotted graphically by MATHCAD software to see the influence of physical parameters. Some graphic comparisons are also mad among present results with hybrid fractional derivatives and the published results that have been obtained by Caputo. It is found that the velocity and temperature with constant proportional Caputo fractional derivative are portrait better decay than velocities and temperatures that obtained with Caputo and Caputo-Fabrizio derivative. Further, rate of heat transfer and skin friction can be enhanced with smaller values of fractional parameter.
Citation Count: Javaid, Maria...et al. (2022). "Unsteady flow of fractional Burgers’ fluid in a rotating annulus region with power law kernel", Alexandria Engineering Journal, Vol. 61, No. 1, pp. 17-27.
Unsteady flow of fractional Burgers’ fluid in a rotating annulus region with power law kernel
(2022) Javaid, Maria; Tahir, Madeeha; Imran, Muhammad; Baleanu, Dumitru; Akgül, Ali; Imran, Muhammad Asjad; 56389
Keeping in view of the complex fluid mechanics in bio-medicine and engineering, the Burgers’ fluid with a fractional derivatives model analyzed through a rotating annulus. The governing partial differential equation solved for velocity field and shear stress by using integral transformation method and using Bessel equations. The transformed equation inverted numerically by using Gaver-Stehfest's algorithm. The approximate analytical solution for rotational velocity, and shear stress are presented. The influence of various parameters like fractional parameters, relaxation and retardation time parameters material constants, time and viscosity parameters are drawn numerically. It is found that the relaxation time and time helps the flow pattern, on the other hand other material constants resist the fluid rotation. Fractional parameters effect on fluid flow is opposite to each other. Finally, to check the validity of the solution there are comparisons for velocity field and shear stress for obtained results with an other numerical algorithm named Tzou's algorithm.