This thesis researches on the stability of fibre suspensions applying theoretical , numerical and experimental methods . first the linear stability analysis is performed to fibre suspensions utilizing flow stability , slender - body and orientation tensor theories . the governing equations of channel and pipe suspensions of different stability handling modes and tensor closure approximations are derived 首先综合应用流体动力稳定性理论、细长体理论以及纤维方向张量工具，对纤维悬浮流进行线性稳定性分析，推导槽流和管流的稳定性方程，并对槽流导出在不同的稳定性分析模式以及不同的方向张量封闭格式下的多种形式方程。
