Abstract
In this paper, we prove the existence of solution of the self-similar equations representing the swirling flow of an electrically conducting viscous fluid near an infinite rough rotating disk. The fluid is subjected to an external uniform magnetic field perpendicular to the plane of the disk. Numerical solutions of the resulting system of nonlinear equations are also obtained over the entire range of the physical parameters. The effects of slip and the magnetic interaction parameter on the momentum boundary layer are discussed in detail and are shown graphically.
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Research Statement: We consider the rotating disk flow of an electrically conducting fluid over an infinite rotating disk. The disk surface is rough, i.e., it has radial and concentric grooves. The mass and momentum conservation equations are reduced into a system of ordinary differential equation by suitable similarity variables. Attempts are made to establish the existence of the solution of the resulting system of nonlinear similarity equations before proceeding for the numerical results. The effects of slip parameters are discussed through tables and illustrations.
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Sarkar, S., Sahoo, B., Vikas, K. et al. Effects of Anisotropic Roughness on MHD Flow Near a Rotating Disk. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 91, 435–442 (2021). https://doi.org/10.1007/s40010-020-00685-x
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DOI: https://doi.org/10.1007/s40010-020-00685-x