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Magnetohydrodynamic effect on axisymmetric Stokes flow past a weakly permeable spheroid with a solid core

Prasad M. K., Bucha T.

Archives of Mechanics

2021

Vol. 73, nr 5-6

599--633

The current research is focused on the creeping motion of fluid past a permeable spheroidal particle that has an impermeable core under the magnetic forces. Motion in the permeable zone is proposed to be regulated by Darcy’s law. At the fluid-porous interface, the continuity of the normal velocity component is assumed together with the balance of pressure with normal stresses and the Beavers–Joseph–Saffman–Jones (BJSJ) slip boundary condition. Vanishing of the normal component of velocity is used at the surface of the impermeable core. The drag on the spheroidal particle is obtained in an analytical form. The reliability of the drag coefficient on significant physical parameters such as permeability, non-sphericity parameter, Hartmann numbers, separation parameter (the measure of closeness between the porous particle and the core), and slip parameters is examined. Comparisons of results are made with the cases having no magnetic effect and show that the applied magnetic field possesses the ability to reduce the rate of flow of fluid. Well-known previously published results are deduced from the current analysis.

MHD Supported Electroreduction of Formate Nickel Complexes with Simultaneous Incorporation of TiO2 Particles

Mech K.

Archives of Metallurgy and Materials

2020

Vol. 65, iss. 1

219--227

The present work concerns analysis of the possibilities of synthesis of Ni-TiO2 composite coatings from electrolytes containing formate nickel complexes. A magnetic field was applied as an additional factor enabling modification of properties of the synthesized coatings through its influence on electrode processes. The presented data describes the effect of electrode potential, TiO2 concentration in the electrolyte as well as the value of the magnetic field induction vector on the deposition rate, composition, current efficiency, structure, surface states and morphology of synthesized coatings. The studies were preceded by thermodynamic analysis of the electrolyte. The obtained results indicated possibilities of synthesis of composites containing up to 0.97wt.% of TiO2. Depending on applied electrolysis conditions current efficiency amounted to from 61.2 to 75.1%.