TY - JOUR
TI - Dynamic stability of non-dilute fiber shear suspensions
AU - Wan Zhan-Hong
AU - You Zhen-Jiang
AU - Wang Chang-Bin
JN - Thermal Science
PY - 2012
VL - 16
IS - 5
SP - 1551
EP - 1555
PT - Article
AB - Temporal stability analysis of fiber suspended shear flow is performed. After  introducing the second order structure tensor to determine the Folgar-Tucker  inter-fiber interactions based on the Langevin’s equation, a system governing  the flow stability is derived in conjunction with the fiber orientation  closure. Effect of the inter-fiber interactions on the dynamic stability is  studied by solving the general eigenvalue problem. Results show that fiber  interaction has significant stabilizing effects on the flow. The most  unstable wave number changes with the interaction coefficient. For given  interaction coefficient, wave number and other relevant parameters, there is  a Re number which corresponds to the critical flow. This Re number is related  to the wave number.