Fractional Modeling of Non-Newtonian Casson Fluid between Two Parallel Plates
Open Access
- 8 March 2023
- journal article
- research article
- Published by Hindawi Limited in Journal of Mathematics
- Vol. 2023, 1-12
- https://doi.org/10.1155/2023/5517617
Abstract
In this manuscript, fractional modeling of non-Newtonian Casson fluid squeezed between two parallel plates is performed under the influence of magneto-hydro-dynamic and Darcian effects. The Casson fluid model is fractionally transformed through mixed similarity transformations. As a result, partial differential equations (PDEs) are transformed to a fractional ordinary differential equation (FODE). In the current modeling, the continuity equation is satisfied while the momentum equation of the integral order Casson fluid is recovered when the fractional parameter is taken as . A modified homotopy perturbation algorithm is used for the solution and analysis of highly nonlinear and fully fractional ordinary differential equations. Obtained solutions and errors are compared with existing integral order results from the literature. Graphical analysis is also performed at normal and radial velocity components for different fluid and fractional parameters. Analysis reveals that a few parameters are showing different behavior in a fractional environment as compared to existing integer-order cases from the literature. These findings affirm the importance of fractional calculus in terms of more generalized analysis of physical phenomena.This publication has 47 references indexed in Scilit:
- Mixed convection two-phase flow of Maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspensionAin Shams Engineering Journal, 2018
- Entropy Generation Analysis of MHD Slip Flow of Non-Newtonian Cu-Casson Nanofluid in a Porous Microchannel Filled with Saturated Porous Medium Considering Thermal RadiationJournal of Nanofluids, 2018
- Nonlinear convection in nano Maxwell fluid with nonlinear thermal radiation: A three-dimensional studyAlexandria Engineering Journal, 2018
- Analytical solutions of the Keller-Segel chemotaxis model involving fractional operators without singular kernelThe European Physical Journal Plus, 2018
- Heat and mass transfer analysis on MHD blood flow of Casson fluid model due to peristaltic waveThermal Science, 2018
- Numerical inverse Laplace homotopy technique for fractional heat equationsThermal Science, 2018
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion EquationsCommunications in Computational Physics, 2017
- Effect of Chemical Reaction on Heat and Mass Transfer by Mixed Convection Flow of Casson Fluid About a Sphere with Partial SlipJournal of Computational and Theoretical Nanoscience, 2016
- Unsteady Squeezing Flow of Casson Fluid with Magnetohydrodynamic Effect and Passing through Porous MediumMathematical Problems in Engineering, 2016
- Influence of nonlinear thermal radiation and Magnetic field on upper-convected Maxwell fluid flow due to a convectively heated stretching sheet in the presence of dust particlesCommunications in Numerical Analysis, 2016