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Archive of Applied Mechanics

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27.10.2021 | Original

Magnetic effect on the creeping flow around a slightly deformed semipermeable sphere

verfasst von: Ravendra Prasad Namdeo, Bali Ram Gupta

Erschienen in: Archive of Applied Mechanics | Ausgabe 1/2022

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Abstract

This paper presents steady axisymmetric creeping motion of a conducting, incompressible viscous fluid past a weakly permeable slightly deformed sphere in the presence of transverse magnetic field. The Stokes approximation of momentum equation and Darcy’s law together with Lorentz force are used for the flow outside and within the semi-permeable particle. The governing equations are changed into dimensionless form, and resulting equations are solved using separation of variables method. We have determined the resistance force exerted on the oblate spheroid in the presence of magnetic field as a particular case of an approximate sphere. The impact of Hartmann numbers, permeability and deformation parameter on the coefficient of drag and the streamline pattern is exhibited graphically. Some special cases are deduced from the current study and compared with some previous results. The outcome clarifies that the Hartmann numbers enhance the drag on the oblate spheroid in comparison with prolate spheroid.

Vorheriger Artikel Experimental and numerical investigations on crack propagation characteristics of rock-like specimens with preexisting flaws subjected to combined actions of internal hydraulic pressure and shear force

Nächster Artikel Stress–strain prediction of dual phase steels using 3D RVEs considering both interphase hardness variation and interface debonding at grain boundaries

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Titel: Magnetic effect on the creeping flow around a slightly deformed semipermeable sphere
verfasst von: Ravendra Prasad Namdeo
Bali Ram Gupta
Publikationsdatum: 27.10.2021
Verlag: Springer Berlin Heidelberg
Erschienen in: Archive of Applied Mechanics / Ausgabe 1/2022
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-021-02053-6

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