Cross-diffusion of magnetohydrodynamic Williamson and Casson fluid flow past a slendering horizontal surface with variable thickness and multi-slip conditions: an implicit finite difference approach

The influence of cross-diffusion effects for the roles of Soret and Dufour effects within the context of the flow of two-dimensional Williamson and Casson fluids over an elongated sheet with varying thicknesses is analyzed. The properties of the magnetic field along with multi-slip boundary conditio...

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Bibliographic Details
Published in:European physical journal plus Vol. 138; no. 10; p. 875
Main Authors: Sharma, Ram Prakash, Thumma, Thirupathi, Mishra, S. R., Shukla, Sunendra
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2023
Springer Nature B.V
Subjects:
Applied and Technical Physics
Atomic
Boundary conditions
Chemical engineering
Coefficient of friction
Complex Systems
Condensed Matter Physics
Construction
Cooling
Differential equations
Finite difference method
Flow profiles
Fluid flow
Heat conductivity
Heat exchangers
Heat transfer
Investigations
Magnetic fields
Magnetic properties
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Partial differential equations
Physics
Physics and Astronomy
Radiation
Rate constants
Regular Article
Skin friction
Temperature
Theoretical
Two dimensional flow
Variable thickness
Viscosity
ISSN:2190-5444, 2190-5444
Online Access:Get full text
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Summary:The influence of cross-diffusion effects for the roles of Soret and Dufour effects within the context of the flow of two-dimensional Williamson and Casson fluids over an elongated sheet with varying thicknesses is analyzed. The properties of the magnetic field along with multi-slip boundary conditions are also explored in this investigation. In engineering, the assumption of a fully developed flow is often used to design a mathematical model with the governing equations of the flow profile in the form of partial differential equations. With the aid of an implicit finite difference approach, the set of nonlinear coupled transformed problems is solved followed by similarity transformation that is useful for the conversion of non-dimensional form. The impact of these processes on the fluid flow phenomena parameterized by different non-dimensional parameters has been discussed. Moreover, the rate constants such that the skin friction coefficient and heat transfer rate characteristics are widely scrutinized with the support of various plots and tables.
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ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-023-04487-z