Numerical Study of Stagnation Point Flow of Casson Fluid Over a Continuous Moving Surface

Abstract

In this paper, we study the behavior of heat transfer of Casson fluid at the magnetohydrodynamic stagnation point with thermal radiation over a continuous moving sheet. The appropriate similarity transfer is used to transfer the governing differential equations into the ordinary differential equation and then solved by the collocation method based on spline function. The obtained results are investigated with the existing literature by direct comparison. We found that an increment in the value of the shrinking parameter, magnetic parameter, and Casson fluid parameter enhances the velocity distribution and depreciate the temperature profile both Casson and Newtonian fluids. Furthermore, the thermal distribution depreciates with increasing the value of Prandtl number and radiation parameter for Casson and Newtonian fluids. Finally, the impact of the emerged physical parameters on the velocity and temperature distributions are illustrated via tables and illustrative graphs.

Fractional dynamics study: analytical solutions of modified Kordeweg-de Vries equation and coupled Burger’s equations using Aboodh transform

“…An important new area of mathematical modelling has emerged from the combination of fractional calculus and nonlinear partial differential equations (PDEs), providing a powerful perspective through which to understand complicated events with memory and non-local behaviours. Nonlinear partial differential equations (FPDEs) include nonlinear components and fractional derivatives, allowing non-integer order derivatives and nonlinear interactions to be described in systems 13 – 15 . For phenomena where memory effects, long-range interactions or anomalous diffusion are key, this combination has broad applications in many different areas, including physics, biology, engineering, and finance.…”

“…However, these efforts greatly advance scientific knowledge and technological progress. This work starts with a detailed study of a particular class of fractional nonlinear partial differential equations, trying to find solutions that show the interesting complexity of these systems and to shed light on their special features 15 – 18 . The studies referenced cover a wide range of topics, from aerospace engineering to materials science and physics.…”

Heat Transfer Analysis of MHD Casson Fluid Flow Between Two Porous Plates With Different Permeability

“…Bujurke et al (1998) found the series solution for the same problem. Various authors have also contributed in the analysis of Casson fluid flow [Mukhopadhyay et al (2013); Ghiasi and Saleh (2019); Kranthi ; Dhange et al (2022); Muhammad et al (2023)]. Elkouh (1967) analysed the flow between two paral- † Corresponding author.…”