Numerical Analysis of Taconis Oscillation in a Two Dimensional Tube

Abstract

Taconis oscillations in a closed long tube are studied by numerical calculations of the 2D compressible Navier-Stokes equations. Both end walls of the tube are hot (T = T_H ), and the central regions of side walls are cold (T = T_C ). The spontaneous oscillations in the tube are observed when temperature ratio θ = TH /TC ≥ 7.1. On the other hand, we do not obtain any oscillation in the tube at the temperature ratio θ < 5.7. When 5.7 < θ < 7.1, we find the two steady states (oscillation state and quiescent state) which are obtained from the different initial states.