Stability Analysis of Taconis Oscillation in a Closed Tube by Numerical Simulation

Abstract

Taconis oscillation in a closed long tube is studied by the numerical simulation of two-dimensional compressible Navier-Stokes equations. Conditions are used where both end walls of the tube are hot (T = T_H), and the central regions of the side walls are cold (T = T_C). The oscillation can be spontaneously generated when the temperature ratio (T_H/T_C) is larger than 7.1, whereas it can be damped when the temperature ratio is smaller than 5.7. We obtained two different critical temperature ratios and observed the hysteresis phenomenon.