Casson fluid in a non-Darcian porous medium has significant
applications in industry. Casson fluids are a type of non-Newtonian fluid with
examples as jelly, tomato sauce, human blood, honey, etc. Due to the numerous
engineering applications of non-Newtonian Casson fluids, researchers have
invested a lot of time in studying the flow of the fluid. The applications
include food processing, photodynamic therapy, nuclear cooling, as well as in
biological systems. This chapter presents a comprehensive analysis of the
hydromagnetic boundary layer behaviour of a non-Newtonian Casson fluid flowing
over an inclined porous surface subjected to a transverse magnetic field,
thermal radiation, and convective boundary conditions. The study is motivated
by applications in engineering fields such as polymer processing, metallurgical
operations, and thermal management systems, where control over heat and mass
transfer is crucial. The governing partial differential equations, representing
the conservation of mass, momentum, energy, and species concentration, are
transformed into a set of nonlinear ordinary differential equations using
similarity transformations. These equations are then solved numerically to
investigate the effects of various physical parameters, including magnetic
field strength, radiation parameter, convective heat transfer coefficient, and
surface permeability, on the velocity, temperature, and concentration profiles.
Results indicate that the presence of a magnetic field enhances the thermal
boundary layer thickness, leading to an increased rate of heat transfer.
Additionally, the induced magnetic field significantly influences the skin
friction coefficient, Nusselt number, and Sherwood number, suggesting that
magnetic fields can be effectively utilised to control flow characteristics and
enhance thermal performance. The findings of this study provide valuable
insights into the manipulation of flow and heat transfer in non-Newtonian
fluids under combined physical effects, offering guidance for the design and
optimisation of industrial processes involving Casson fluids.
Author
(s) Details
Golbert
Aloliga
CK Tedam University of Technology and Applied Sciences, 00233,
Navrongo, Upper East Region, Ghana.
Ibrahim
Yakubu Seini
School of Engineering, University for Development Studies, Tamale,
Nyankpala Campus, 00233, Northern Region, Ghana.
Rabiu
Musah
School of Engineering, University for Development Studies, Tamale,
Nyankpala Campus, 00233, Northern Region, Ghana.
Please see the book here:- https://doi.org/10.9734/bpi/stda/v10/5346
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