article · Alexandria Engineering Journal
Numerical simulations assess natural convection and energy storage characteristics in non-Newtonian Casson fluids within an enclosure containing cylinders and wavy boundaries. Using a stable finite element discretisation solved with Newton's method and PARDISO, the study analyses how cylinder geometry, fluid velocity, and temperature fields interact. The simulations capture how governing physical parameters alter heat and mass transfer rates. Higher Rayleigh numbers intensify liquid concentration gradients and flow modifications. In contrast, increasing the Hartmann number suppresses convective heat transmission due to magnetic effects. Meanwhile, higher Lewis numbers enhance both the average Nusselt and Sherwood numbers, indicating boosted thermal and mass transfer rates. Finally, lowering the fluid parameter beta stabilises the temperature distribution, leaving thermal patterns less disturbed by fluid movement. These computational findings clarify how fluid properties and chamber geometries govern heat storage efficiency.
Understanding natural convection in non-Newtonian fluids helps improve the design of compact thermal energy storage units. By showing how internal geometries and magnetic or thermal parameters influence fluid motion and heat transfer, these simulations offer a theoretical framework for predicting how specialised fluids behave under complex boundary conditions.
This simulation work is early-stage fundamental research rather than an applied engineering prototype. The computational findings could eventually assist thermal design engineers and developers of energy storage systems in tailoring fluid selections and geometry configurations. However, the abstract does not indicate any direct testing, physical prototyping, or near-term commercial application pathway.
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The energy storage features on natural convection in Casson fluids are investigated in this work using the finite element method. By measuring cylinders and wavy surfaces, we may examine flow patterns and the effectiveness of heat transmission systems. We study the variation of the mass and heat transfer rates as a function of the cylinder geometry. To approximately determine velocities and temperatures, the Ladyzhenskaya-Babuška—Brezzi (LBB)-stable element is employed. Following this discretization, the resulting discrete nonlinear system is linearized using Newton's method and subsequently solved using PARDISO. Fractional applications in Casson fluid analysis reveal insights into energy storage effects, employing finite element methods to explore flow patterns, heat transmission efficiency, and geometric variations while observing the impact of parameters such as Rayleigh, Hartmann, and Lewis numbers on fluid behavior and thermal properties. The preceding research has verified the accuracy of the numerical results. According to the results, concentration gradients and other modifications to liquids become more noticeable as the Rayleigh number grows. Convective heat transmission is reduced as the Ha is raised. When the Le grows, the deformation Nu avg and S h avg also increase. Reducing the beta makes the isotherms more stable and less affected by the motion of the fluid.
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DOI: 10.1016/j.aej.2024.06.037
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