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Mathematical modeling of viscoplastic (Casson) squeezed nanoliquid magnetized flow for energy-efficient thermal systems: A generalized thermo-solutal fluxes approach using non-Darcian formulation
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DOI：10.1007/s10973-026-15987-2.png)
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Abstract
En 中文
The phenomenon of squeezed flow featuring nonlinear rheological materials remains a subject of considerable fascination among researchers. This is due to the interaction between complex fluid behavior with the resistance provided by the porous structure, which results in unique flow properties. Understanding these characteristics is necessary for optimizing processes such as increased biomedical filtration, oil recovery and heat control in energy systems. The prime intention of this research is to scrutinize the synergistic effect of Darcy-Forchheimer porous media and magnetic field in non-Newtonian viscoplastic (Casson) nanofluid as it undergoes squeezing flow over a tribological surface with a simultaneous chemical reaction. A similarity transformation is concerned with simplifying the mathematical complexity of Navier–Stokes expressions, thus the transformation of the governing system to a more solvable form of ordinary differential equations on the squeezing surface. To obtain precise numerical solutions, the bvp4c solver in MATLAB is operated to solve the transformed ordinary differential equations. Graphical representations reveal how key factors influence velocity, temperature and concentration profiles. The characteristics of various non-dimensional variables, such as the Darcy number, magnetic parameter, squeezing parameter, Casson parameter and inertia coefficient parameter on the velocity profile are examined and discussed. The squeezing parameter escalates the velocity of the fluid. The magnetic parameter, Darcy number, Casson parameter and inertia coefficient parameter are first augmented and then decays after a certain distance on the squeezing surface. The findings indicate that the thermophoresis, thermal relaxation, Brownian diffusion and Eckert number promote energy profile while the squeezing and thermal stratification parameters reduce the thermal field. Moreover, concentration profile reveals a consistent rise as Brownian diffusion and solutal relaxation parameters develop on the surface and reverse effects are verified for solutal stratification, Schmidt number and thermophoresis. The Darcy number and squeezing parameter lead to a decrease in drag force, while the magnetic parameter and inertia coefficient parameter have the opposite effect, increasing drag force. The knowledge of these transport mechanisms is important for the design and analysis of porous thermal systems, lubrication devices, and magnetically controlled non-Newtonian transport processes. The work done in the present investigation is fundamental in nature but the results obtained could be used as a reference for future studies dealing with biomedical transport, geothermal energy systems and porous heat transfer applications.
Keywords:
Thermal and solutal stratifications
Squeezing nanoliquid flow
Modeling of Viscoplastic (Casson) fluid
Energy Efficiency
Darcy-Forchheimer porous media
Magnetohydrodynamics
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3.1
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1.8W
Citations:
3.2W
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