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Thermodynamical analysis of MHD flow of generalized second grade fluid by using some fractional derivatives.
(UMT Lahore, 2023) Ahmad Raza
The objective of the current work is to use the fractional derivatives of Caputo, Caputo-Fabrizio and Atangana-Baleanu-Caputo (ABC) to model the heat transition of a second-grade fluid. The flow is examined as a result of magneto hydrodynamics (MHD), heat transfer and mass profile. The motion of the infinite vertical plate is more broadly time dependent. Additionally, we are considering the exponential heat phenomenon when it comes to the infinite plate’s thermal properties. The set of dimensionless fractional governing equations, which includes the heat, mass, momentum and energy equations subject to boundary and initial conditions, by employing the Laplace transform method allows for a precise analytical solution. Graphical plots of solutions are used to examine how various parameters, such as the fractional parameter α, thermal and mass Grashof numbers Gr, Gm, Schmidt number Sc and Prandtl numbers Pr, affect the physical behaviour of fluid flow, concentration and temperature. Comparison between the temperature, concentration and velocity of fluid through Caputo, Caputo-Fabrizio and Atangana-Baleanu-Caputo (ABC) fractional derivatives is discussed graphically