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<p>This work investigates the numerical solution of governing model equations, which is calculated by using the finite difference implicit scheme (Crank-Nicolson method). The considered fluid model is the Eyring-Powell model, which is subjected to a magnetic field that is applied in the perpendicular direction. The flow of non-Newtonian fluid is assumed to be moving on the oscillating plate, which is placed to be in a vertical direction due to natural convection. The thermal radiation is implemented on the surface of the plate to inspect the thermal aspects. The increasing demand for combined results of thermal and solutal phenomena, heat absorption, Joule heating, and chemical reaction are considered. The unsteady MHD radiated Eyring-Powell fluid flow with chemically reactive species can be mathematically modeled for advanced processes in high-temperature energy systems where non-Newtonian, thermal, magnetic, and chemical effects interact, such as biomedical transport, surface coating, catalytic reactors, electromagnetic cooling, and polymer manufacturing. The implementation of considered assumptions on the basic governing laws gives us the governing system of equations. These are dimensional partial differential equations, and we determine the non-dimensional PDEs form by using the transformations. This system of non-dimensional equations is then numerically solved by using the Crank-Nicolson finite difference implicit scheme. The resultant equations are discretized and solved by using the LU-decomposition method on the MATLAB software. The results of emerging parameters and physical quantities are presented graphically and numerically. The main findings of this study are that the Eyring-Powell coefficient is the source of increment in the flow, while the reverse results are obtained with fluid parameter. The magnetic field in the flow region drops the movement of fluid, whereas an increment in fluid velocity is observed due to thermal and solutal Grashof numbers. By applying the thermal radiation in the Powell-Eyring fluid confined with the oscillating surface, the temperature within the fluid upsurges. The Eckert number marks the incremental impression on the temperature distribution. The use of chemical reaction reduces the fluid concentration in the flow region. The concentration region drops due to the Schmidt number.</p>

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Mathematical modeling of unsteady magnetohydrodynamic flow of radiated Eyring-Powell fluid along with chemical reactive species

  • 期刊论文

  • 发表日期：

    2025年7月10日

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  • Muhammad Awais,
  • T. Salahuddin,
  • Maawiya Ould Sidi,
  • Afnan Al Agha,
  • Hakim Al Garalleh

摘要

This work investigates the numerical solution of governing model equations, which is calculated by using the finite difference implicit scheme (Crank-Nicolson method). The considered fluid model is the Eyring-Powell model, which is subjected to a magnetic field that is applied in the perpendicular direction. The flow of non-Newtonian fluid is assumed to be moving on the oscillating plate, which is placed to be in a vertical direction due to natural convection. The thermal radiation is implemented on the surface of the plate to inspect the thermal aspects. The increasing demand for combined results of thermal and solutal phenomena, heat absorption, Joule heating, and chemical reaction are considered. The unsteady MHD radiated Eyring-Powell fluid flow with chemically reactive species can be mathematically modeled for advanced processes in high-temperature energy systems where non-Newtonian, thermal, magnetic, and chemical effects interact, such as biomedical transport, surface coating, catalytic reactors, electromagnetic cooling, and polymer manufacturing. The implementation of considered assumptions on the basic governing laws gives us the governing system of equations. These are dimensional partial differential equations, and we determine the non-dimensional PDEs form by using the transformations. This system of non-dimensional equations is then numerically solved by using the Crank-Nicolson finite difference implicit scheme. The resultant equations are discretized and solved by using the LU-decomposition method on the MATLAB software. The results of emerging parameters and physical quantities are presented graphically and numerically. The main findings of this study are that the Eyring-Powell coefficient is the source of increment in the flow, while the reverse results are obtained with fluid parameter. The magnetic field in the flow region drops the movement of fluid, whereas an increment in fluid velocity is observed due to thermal and solutal Grashof numbers. By applying the thermal radiation in the Powell-Eyring fluid confined with the oscillating surface, the temperature within the fluid upsurges. The Eckert number marks the incremental impression on the temperature distribution. The use of chemical reaction reduces the fluid concentration in the flow region. The concentration region drops due to the Schmidt number.