Browsing by Author "Syed Mohsin Raza Shirazi"

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    Analysis of Jeffrey fluid with generalized boundary conditions via Prabhakar fractional approach
    (UMT Lahore, 2023) Syed Mohsin Raza Shirazi
    This theoretical investigation aims to generalize the idea of fractionalized Jeffrey fluid flow present in this research work. Exact analysis of MHD natural convective flow of the Jeffrey fluid to derive analytical solutions with the non-integer order derivative Prabhakar fractional operator with non-singular type kernel along with application of generalized laws namely Ficks and Fouriers are reported here. This fractional operator has multi-parameter generalized Mittag-Leffler kernel. The fluid flow is elaborated near an infinitely vertical plate with characteristic velocity u0. The modeling of the considered problem is done in terms of the partial differential equations together with generalized boundary conditions. Appropriate sets of variables are introduced to transform the governing equations into dimensionless form. Laplace transform (LT) is operated on the fractional system of equations and results are presented in series form and also in the form of special functions. The pertinent parameters’ influence such as Pr, Gm, Sc, and Gr on the fluid flow is brought under consideration to reveal interesting results. In comparison, we noticed the Prabhakar-like non-integer approach shows better results than the existing operators in the literature, and graphs are drawn to show the results. Also, results are obtained in a limiting sense such as second grade fluid, Newtonian fluid in fractionalized form, as well as Jeffrey and viscous fluid models for classical form from Prabhakar-like non-integer Jeffrey fluid model.