Abstract
Abstract In this article, thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical wall through homotopy-based scheme along with fractional calculus. Three cases were examined after considering (i) partial fractional differential equation (PFDE) by altering first-order derivative to fractional derivative in the interval (0, 1), (ii) PFDE by altering second-order derivative to fractional derivative in the interval (1, 2), and (iii) fully FDE by altering first-order derivative to fractional derivative in (0, 1) and second-order derivative to fractional derivative in (1, 2). Different physical quantities such as the velocity profile and volume flux were computed and analyzed. Validity of obtained results was checked by finding residuals. Moreover, consequence of different parameters on the velocity were also explored in fractional space.
Highlights
In this article, thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical wall through homotopy-based scheme along with fractional calculus
Aman et al [9] investigated the effect of secondorder slip on magneto hydrodynamic (MHD) flow of Maxwell’s fractional fluid on a moving plate together with a comparison of two numerical algorithms
Ali et al [40] focused on fractional Casson fluid model with magnetic effect in an axisymmetric cylinder
Summary
Abstract: In this article, thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical wall through homotopy-based scheme along with fractional calculus. Aman et al [9] investigated the effect of secondorder slip on MHD flow of Maxwell’s fractional fluid on a moving plate together with a comparison of two numerical algorithms. Ali et al [40] focused on fractional Casson fluid model with magnetic effect in an axisymmetric cylinder They solved the modeled equations using Hankel transform coupled with Laplace procedure. [9] by addressing the issue as various kinds of fractional differential equations (FDEs), and got an answer utilizing a half and half methodology of blending fragmentary analytics with homotopy perturbation method (HPM) which was at first proposed by He [23,24]. We will consider the association of on the asymptotic and oscillatory conduct of the arrangements of a class of defer differential conditions on consider circumstance and we will screen their belongings
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