Exact solutions of non-singularized MHD Casson fluid with ramped conditions: A comparative study

The study of magnetohydrodynamic (MHD) fluids has significant implications across various scientific disciplines, particularly in understanding complex phenomena in astrophysics, engineering, and geophysics. The Casson fluid model stands as a crucial tool for describing non-Newtonian behaviors obser...

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Bibliographic Details
Published in:Advances in mechanical engineering 2024-08, Vol.16 (8)
Main Authors: Saeed, Syed Tauseef, Arif, Khalid, Qayyum, Mubashir
Format: Article
Language:English
Subjects:
Boundary conditions
Closed form solutions
Comparative studies
Dimensionless analysis
Exact solutions
Geophysics
Laplace transforms
Magnetohydrodynamics
Parameters
Partial differential equations
Prandtl number
Two dimensional analysis
Velocity distribution
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Summary:The study of magnetohydrodynamic (MHD) fluids has significant implications across various scientific disciplines, particularly in understanding complex phenomena in astrophysics, engineering, and geophysics. The Casson fluid model stands as a crucial tool for describing non-Newtonian behaviors observed in certain fluid systems. The current work shows an analytical analysis to determine the ramped effect on the fractionalized MHD Casson fluid over an vertical plate. Fractional partial differential equations are used to formulate the problem along with initial and boundary conditions. The governing equations are transformed into the dimensionless form and developed fractional models like Caputo-Fabrizio and Atangana-Baleanu Derivative. We used the Laplace transform technique to find the closed form solution of the dimensionless governing equation analytically. MATHCAD software is being used for numerical computations and the physical attributes of material and fractional parameters are discussed. To analyze their behavior clearly, two-dimensional graphical results are plotted for velocity profile and temperature as well. It has been concluded that the fluid’s velocity are reduced for larger values of the fractional parameter and Prandtl number and is maximum for small values of both parameters.
ISSN:1687-8132
1687-8140
DOI:10.1177/16878132241272170