2021

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Immiscible generalized second-grade fluids in a rectangular channel
(UMT Lahore, 2021) Aneeza Faheem
In this thesis, we investigate the unsteady one-dimensional flows in a rectangular channel of two immiscible generalised second grade fluids. The generalisation discussed consists onto mathematical framework constructed upon constitutive equation of second-grade fluid with temporal fractional derivatives Caputo(C), Caputo-Fabrizio(CF) and Atangna-Baleanu(AB). The evolution of a shear stress has an impact on the velocity gradient. The velocity and shear stress components are transformed using a Laplace transformation (LT). The Stehfest numerical approach for the reverse Laplace transformation is used to obtain numerical results for actual velocity and shear stress. The impact of fractional parameters upon velocity and shear stress is investigated using numerical simulations and graphical depictions. The memory impacts are just noticeable for tiny amounts of time t, according to this theory.