Browsing by Author "Ahmad, Mushtaq"

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Citation Count: Ahmad, Mushtaq...at all (2021). "Analytical solutions for free convection flow of Casson nanofluid over an infinite vertical plate", AIMS Mathematics, Vol. 6, No. 3, pp. 2344-2358.
Analytical solutions for free convection flow of Casson nanofluid over an infinite vertical plate
(2021) Ahmad, Mushtaq; Asjad, Muhammad Imran; Akgül, Ali; Baleanu, Dumitru; 56389
This research article is design to elaborate the rule and significance of fractional derivative for heat transport in drilling of nanofluid. The respective nanofluid formed by the suspension of clay nanoparticles in the base fluids namely Casson fluid. The physical flow phenomenon is demonstrated with the help of partial differential equations by utilizing the respective thermophysical properties of nanoparticles. Also the geometric and thermal conditions are imposed in flow domain. In the governing equations, the partial derivative with respect to time replaced by new hybrid fractional derivative and then solved analytically for temperature and velocity field with the help of Laplace transformed. The obtained solutions for temperature and velocity are presented geometrically by Mathcad software to see the effectiveness of potent parameters. The temperature and velocity present a significant increasing trend for increasing volume fraction parameter. The obtained results for temperature as well as velocity are also compared with the existing literature and it is concluded that field variables with new hybrid fractional derivative, show more decaying trend as compare to the results with Caputo and Caputo-Fabrizio fractional derivatives.
Citation Count: Chu, Yu-Ming;...et.al. (2021). "Fractional Model Of Second Grade Fluid Induced By Generalized Thermal And Molecular Fluxes With Constant Proportional Caputo", Thermal Science, Vol.25, No.2, pp.207-212.
Fractional Model Of Second Grade Fluid Induced By Generalized Thermal And Molecular Fluxes With Constant Proportional Caputo
(2021) Chu, Yu-Ming; Ahmad, Mushtaq; Asjad, Muhammad Imran; Baleanu, Dumitru; 56389
In this research article, the constant proportional Caputo approach of fractional derivative is applied to derive the generalized thermal and molecular profiles for flow of second grade fluid over a vertical plate. The governing equations of the prescribed flow model are reduced to dimensionless form and then solved for temperature, concentration, and velocity via Laplace transform. Further graphs of field variables are sketched for parameter of interest. Comparison between present result and the existing results is also presented graphically.
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.