article · Ain Shams Engineering Journal
This research numerically investigates the flow and heat transfer of power-law non-Newtonian fluids past a stretching surface set within a porous medium. Using the Cattaneo-Christov heat flux model alongside a shooting procedure based on the Runge-Kutta method, the study evaluates the impacts of Ohmic heating, Hall currents, buoyancy forces, and nonuniform heat generation. The analysis focuses on fluids with power-law values of 0.7 and 1.2 moving across a Darcy porous medium under slip flow conditions. The computational evaluation examines velocity shifts, surface frictional forces, Nusselt numbers, and generated entropy. The outcomes demonstrate that the Hall parameter, mixed convection parameter, Biot numbers, and thermal relaxation time directly influence fluid temperature, thereby enhancing overall heat transference rates.
Managing heat transfer in complex fluids is essential for optimising the performance of industrial thermal equipment. By modelling how magnetic effects, nonuniform heating, and porous boundaries interact, this research provides a clearer understanding of the physical factors that govern energy movement and entropy generation in non-Newtonian fluid systems.
The findings provide computational insights that could inform the design and optimisation of thermal systems involving complex fluid movement through porous structures. As an early-stage theoretical and numerical study, the work establishes fundamental behaviour rather than a ready-to-deploy technology, making it primarily useful for engineers and researchers developing advanced fluid heating and cooling models.
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This work investigates the Ohmic heating, nonuniform heat generation, and Hall effects with Cattaneo-Christov model (CCM) on flow and heat transfer of power-low non-Newtonian fluids (NNFs) past stretching surface embedded in a porous medium. Runge-Kutta method is used to solve non-linear ODEs numerically using a shooting procedure. We study non-Newtonian fluids for power law values of 0.7 and 1.2, respectively. Innovation of this work lies in studying the effect of Hall currents in presence of buoyancy force and an irregular heat source on slip flow of NNFs moving through Darcy porous medium. Varying velocities, surface frictional forces, and Nusselt numbers are examined. Resulting entropy is also examined using computational flow problem investigation. Model-simulated results suggested that various factors play critical role in constructing thermal systems. It is asserted that Hall parameter, mixed convection parameter, Biot numbers, and thermal relaxation time improve heat transference rates by directly affecting fluid molecules temperature.
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DOI: 10.1016/j.asej.2024.102954
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