TY - JOUR
TI - Effect of circumferential wave number on stability of suspension flow
AU - Wang Feng-Hui
AU - Zhu Yu-Chuan
AU - Wan Zhan-Hong
AU - You Zhen-Jiang
JN - Thermal Science
PY - 2014
VL - 18
IS - 5
SP - 1517
EP - 1523
PT - Article
AB - The linear stability analysis is carried out for the suspension flow of  spherical particles between a rotating inner cylinder and a stationary  concentric outer cylinder. The mass conservation equation and Navier-Stokes  equation are applied to the continuous fluid phase and the particle phase.  Results of stability analysis show that the increase of wave number in the  circumferential direction attenuates the effect of the axial wave number on  the amplification factor. The ratio of particle density to fluid density  increasing above 0.1 amplifies the flow instability, while it can be weakened  with higher circumferential direction wave number. Effect of the critical  Taylor number on the amplification factor is reduced by increasing the  circumferential direction wave number. The flow stability is affected by the  geometry of flow field (the radius ratio) at non-zero circumferential  direction wave numbers.