Onset of Rayleigh-Bénard Convection in a Micropolar Fluid under the Influence of Temperature Modulation, Electric Field and Internal Heat

Abstract

Abstract

This paper analyses the onset of Rayleigh-Bénard convection in a micropolar fluid subject to an Imposed Time-periodic Boundary Temperature (ITBT) of small amplitude, an AC electric field along with internal heat. The temperature gradient between the walls of the fluid layer consists of a steady part and a time-dependent oscillatory part. The Venezian approach is adopted in arriving at the correction Rayleigh number. The effects of the oscillating temperature field are treated by a perturbation expansion in powers of the amplitude of the applied field. We examine three cases of oscillating temperature field: (a) symmetric, so that the wall temperatures are modulated in phase, (b) asymmetric, corresponding to out-of phase modulation and (c) only the lower wall is modulated. It is found that out of the three cases, the system is most stable when the boundary temperatures are modulated out-of-phase.

Keywords: Rayleigh-Bénard convection, micropolar fluid, temperature modulation, electric field, internal heat

Cite this Article

Jesslin Ann Mammen, Smita S Nagouda. Onset of Rayleigh-Bénard Convection in a Micropolar Fluid under the Influence of Temperature Modulation, Electric Field and Internal Heat. Recent Trends in Fluid Mechanics. 2018; 5(1): 44–62p.