Source/sink effect on MHD free convection flow of fractional Casson nanofluid under inclined magnetic field.

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Date
2023
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UMT Lahore
Abstract
The main purpose of this dissertation is to study the significance of fractional derivative for heat transport in drilling of nanofluid. The respective nanofluid formed by the suspension of clay nanoparticles in the base fluid namely Casson fluid. The physical flow phenomenon is demonstrated with the help of partial differential equations by utilizing the respective thermo-physical properties of nanoparticles. The geometric and thermal conditions are imposed in flow domain. The governing equations with respect to time replaced by the new hybrid fractional derivative namely, constant proportional Caputo (CPC) and then solved analytically for temperature and velocity fields with the help of Laplace transform. The transformed solutions for energy and momentum balances are appeared in terms of the series form. Further, the influence of flow parameters and fractional parameters  and  on the temperature and velocity fields are graphically underlined and discussed using mathematical software MATHCAD.
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