article · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
This research investigates the behaviour of magnetohydrodynamic boundary layer flow across a flat plate under a pressure gradient. The mathematical model accounts for slip velocity, thermal radiation, a porous wall with suction and injection, and base fluid enriched with hybrid ferroparticles consisting of magnetite and cobalt ferrite. By applying similarity transformations, the governing equations were solved both analytically using the Generalized Decomposition Method and numerically using a Runge-Kutta-Fehlberg shooting technique. The results demonstrate that hybrid nanoparticles enhance fluid speed and heat transfer more effectively than non-hybrid particles or plain fluids. Furthermore, increasing the slip and permeability parameters increases velocity while decreasing fluid temperature. Thermal radiation amplifies temperature profiles, whereas increasing the magnetic parameter helps prevent boundary layer separation.
Controlling fluid flow and heat dissipation is critical for designing advanced cooling mechanisms and electromagnetic devices. By examining how magnetic fields, surface porousness, and hybrid magnetic nanoparticles interact, this study provides precise mathematical models for predicting fluid behaviour. These insights help engineers understand how to achieve higher thermal transfer rates while simultaneously controlling flow separation across heated surfaces.
The abstract does not indicate an application pathway, as it focuses strictly on theoretical and numerical fluid dynamics modelling without naming specific industrial end-users, devices, or readiness levels.
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Abstract In the present work, we explored the magnetohydrodynamic boundary layer flow in the presence of pressure gradient across a flat plate. The effects of the slip velocity conditions, thermal Radiation the addition of hybrid Ferroparticles (i.e., a mixture of two types of magnetic nanoparticles for example, (magnetite () and cobalt ferrite ()) in base fluid ( ) and Porous wall (suction/ injection) are also considered in this study. Basic partial differential equations are transformed into nonlinear ordinary differential equations using the appropriate similarity transformations. Then, this equation was treated numerically by using the Runge–Kutta–Fehlberg 4th–5th order method with the shooting technique and analytically via an efficient method called the Generalized Decomposition Method. The effects of various physical parameters on the velocity and temperature profiles are shown graphically. It is found that the incorporation of hybrid nanoparticles demonstrates a relatively substantial impact on the behavior of dynamic and thermal field; outperforming both non‐hybrid nanoparticles and regular fluid in terms of speed and temperature enhancement. The slip and permeability parameters significantly alter the flow structure. The positive values of the slip and permeability parameters enhance the flow velocity and reduce the temperature, leading to the desired flow behavior. Conversely, adopting negative values of these parameters reverses the effect. Furthermore, the radiation parameter enhances the temperature distribution. Additionally, the boundary layer separation tends to disappear with the increase in the magnetic parameter. The results obtained clearly show the accuracy of the proposed method and also indicate an excellent agreement between analytical and numerical data.
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DOI: 10.1002/zamm.202300729
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