Magnetohydrodynamics (MHD), a field combining fluid dynamics and electromagnetism, offers insights into fluid behaviors under magnetic influences. This study dives into the governing equations for the velocity and shear stress of rate-type fluids, with a focus on incompressible generalized Burgers and Oldroyd-B fluids. These fluids, unlike Newtonian fluids, display unique responses to shear stresses, making them essential in fields like engineering and material sciences.
The analysis reveals that rate-type fluids are influenced by complex shear stress applications, especially when boundaries interact with magnetic fields. Using boundary conditions based on shear stress, the researchers outline a method for solving fluid motion problems. The solutions provided apply to both rectangular and cylindrical domains, where MHD effects can influence fluid behavior differently. These findings are vital for predicting and controlling the flow in industrial applications, such as the transport of magnetically sensitive fluids in pipes.
A significant part of the research involves calculating exact solutions for the governing equations when shear stress is prescribed on the boundaries. This approach improves our understanding of fluid mechanics under magnetic influence, facilitating the design of systems that require precise control over fluid flow and response to magnetic forces. The implications of these findings extend to both theoretical research and practical applications, paving the way for improved fluid manipulation in fields like biomedical engineering and industrial processing.
Full Text: https://www.igminresearch.com/articles/html/igmin144
DOI Link: https://dx.doi.org/10.61927/igmin144
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