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- W4286457064 abstract "In this work, we studied the unsteady and incompressible flow of second-grade MHD fluid moving on a vertical oscillating plate, which is passing under the possessions of an applied inclined magnetic field. The non-dimensional governed equations are turned into a fractional model using the most advanced and effective fractional definition, Prabhakar fractional derivative, which is frequently based on generalized Fourier's and Fick's laws. The resultant system is handled using integral transform, i.e. the Laplace transformation (LT) scheme, and some numerical methods are also applied for the Laplace inverse. The graphical and numerical representation of all parameters is also deliberated to analyze the physical behavior of the effects of significant parameters. As a result, it concluded that the impact of the second-grade fluid constraint slowed down the momentum profile of the moving fluid. Furthermore, in comparing the velocity field attained by our applied fractional scheme with existing literature, the overlapping of both curves with each other indicates the validity of our attained results of momentum profile. Additionally, the overlapping of both numerical scheme curves for the Laplace inverse also verifies the study's findings." @default.
- W4286457064 created "2022-07-22" @default.
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- W4286457064 date "2022-07-22" @default.
- W4286457064 modified "2023-09-28" @default.
- W4286457064 title "A Prabhakar fractional approach with generalized fourier law for thermal activity of non-newtonian second-grade type fluid flow: a fractional approach" @default.
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- W4286457064 doi "https://doi.org/10.1080/17455030.2022.2102693" @default.
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