Abstract This paper reviews several physical and mathematical models for the vibration and stability of pipes conveying fluid with different length scales. Various equations of motion, for fluid-conveying pipes from macro-scale to micro- and nano-scales, and their differences are discussed in details. Based on these existing models and equations, researches and some important results (including some recent works done by the authors) on the vibration and stability of pipes conveying fluid, reported in the past years, are summarized. Finally, the future trends and advances are proposed. It is endeavoured to show that there are a number of unresolved issues in the vibration problem of pipes conveying fluid, and that especially the accurate analytical models and the corresponding fluid-structure interaction mechanism are vital for the further analysis of micro- and nano-scale pipes conveying fluid.
2010, Vol. 31 
