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Thermophysics and Aeromechanics

2022 year, number 2

Analytical analysis on g-jitter induced natural convection flow behaviour in existence of Lorentz force in a vertical micro-channel

B. Aina, T. Pius, S. Kamaluddin
Federal University Gashua, Gashua, Nigeria
Keywords: g-jitter, natural convection, Lorentz forces, micro channel, velocity slip, temperature jump

Abstract

In this paper, analytical analysis on g-Jitter induced natural convection flow in microgravity behaviour is theoretically examined in the existence of Lorentz forces in a vertical micro-channel. Effects of velocity slip and temperature jump are also taken into account. A single component of time harmonic g-Jitter is considered. Solutions are obtained for the velocity and temperature profile with a combined effect of oscillating g-Jitter driving force and induced Lorentz force, the latter resulting from an application of a transverse magnetic field. Four limiting cases are carried out based on the solutions. Numerical procedures are under see for various active parameters namely: g-Jitter induced frequency, fluid-wall interaction, rarefaction, and Hartmann number. The results of the research unveiled that, the amplitude of the velocity decreases at a rate inversely proportional to the g-Jitter induced frequency and with increase in the Hartmann number. The induced flow oscillates at the same frequency as the affecting g-Jitter. Furthermore, a magnetic field can be applied to suppress oscillating flows joined with g-Jitter, it is more effective in damping low frequency flows but only has a moderate damping effect on the flow induced by high frequency g-Jitter. Also, the temperature jump condition induced by the effects of rarefaction and fluid-wall interaction parameter plays relevant impact in slip-flow natural convection.