Abstract
The simulation study of steady, laminar, incompressible, and isothermal biomagnetic fluid flow within a lid-driven cavity is presented, under the influence of a time-independent localized external magnetic field. The mathematical model used for the problem formulation is consistent with the principles of FHD and MHD and therefore considers both the magnetic Kelvin force and the Lorentz force as body forces. The biomagnetic fluid is modeled as a homogeneous Newtonian continuum, which dually exhibits magnetization and its electrical conductivity. The numerical solution of the problem, described by a system of coupled, nonlinear system of PDEs with appropriate boundary conditions, is carried out using the SIMPLER algorithm. The solution is obtained by the finite volume method on a staggered grid. The results of the simulation, as visualized through the stream function plots, indicate the field–fluid interactions in laminar flow regimes.
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Banerjee, S., Ganguly, R. (2021). Simulation of Biomagnetic Fluid Flow in a Lid-Driven Cavity Under Steady Localized Magnetic Field. In: Ramkrishna, D., Sengupta, S., Dey Bandyopadhyay, S., Ghosh, A. (eds) Advances in Bioprocess Engineering and Technology . Lecture Notes in Bioengineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-7409-2_42
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DOI: https://doi.org/10.1007/978-981-15-7409-2_42
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