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X. F. Xu, P. Wen, L. X. Xu and D. P. Cao, “Occurrence of Taylor Vortices in the Flow between Two Rotating Conical Cylinders,” Communications in Nonlinear Science and Numerical Simulation, Vol. 15, No. 5, 2010, pp. 1228-1239. doi:10.1016/j.cnsns.2009.05.061

has been cited by the following article:

• TITLE: Dimensional and Mechanical Similarity Analysis of the Flow in Rotating Liquid Film Reactor

  AUTHORS: Xue Li, Lanxi Xu, Jingjing Zhang, Wanli Lan

  KEYWORDS: Rotating Liquid Film Reactor (RLFR); Coaxial Rotating Conical Cylinder; Mechanical Similarity;Reynolds Number; Dimensional Analysis

  JOURNAL NAME: Open Journal of Fluid Dynamics, Vol.3 No.2, June 5, 2013

  ABSTRACT: A rotating liquid film reactor (RLFR) is a device of two coaxial rotating conical cylinders with the inner cone rotating and the outer one stationary. A complete mathematical model for the flow between the conical cylinders is built and a dimensional analysis is carried out. It is proved that at each point of the flow field the dimensionless pressure and velocity of the flow are determined by parameters: Reynolds number (Re), aspect ratio (Γ), radius ratio (η) and wall inclination angle (α). Furthermore, a sufficient and a necessary condition are derived from mechanical similarity between RLFR and a manufacturing equipment geometrically similar to RLFR. Finally, a numerical simulation for the distribution of pressure and velocity is performed. The results may provide a theoretical basis for experiment method and numerical simulation of the flow in a RLFR-like device.