Study of Heat Transfer in a Time Dependent Vertically Oscillating Micropolar Liquid

Abstract

Abstract

The study involves the vertical time periodic vibration of the system. This leads to the appearance of a modified gravity term in basic equation, collinear with actual gravity, in the form of a time-periodic field perturbation and is termed as gravity modulation or g-jitter in the literature. The aim of this study is to find the effect of small amplitude of gravity modulation on the onset of thermal convection between the parallel plates which contains micropolar liquid. The linear stability analysis is not sufficient to explain the heat transfers; hence, nonlinear stability analysis theory becomes inevitable. Hence, weakly nonlinear analysis of the problem is done by using truncated form of Fourier series and which leads in finding the heat transport for different micropolar liquid parameters.

Keywords: Gravity modulation, micropolar liquid, nonlinear analysis, heat transfer

Cite this Article

S Pranesh, Arun Kumar N. Study of Heat Transfer in a Time Dependent Vertically Oscillating Micropolar Liquid. Recent Trends in Fluid Mechanics. 2018; 5(1): 63–74p.