Linear Stability of Taylor-Couette Flows with Axial Heat Buoyancy  

作　　者：陈建国 任玲 符松 

机构地区：[1]Center for Public Safety Research, Tsinghua University, Beijing 100084 [2]Department of Engineering Physics, Tsinghua University, Beijing 100084 [3]Department of Engineering Mechanics, Tsinghua University, Beijing 100084

出　　处：《Chinese Physics Letters》2006年第8期2135-2138,共4页中国物理快报（英文版）

摘　　要：The linear stability is studied of flows confined between two concentric cylinders, in which the radial temperature gradient and axial gravity are considered for an incompressible Newtonian fluid. Numerical method based on the Petrov-Galerkin scheme is developed to deal with the buoyancy term in momentum equations and an additional temperature perturbation equation. Computations of the neutral stability curves are performed for different rotation cases. It is found that the flow instability is influenced by both centrifugal and axial shear instabilities, and the two instability mechanisms interact with each other. The outer cylinder rotation plays dual roles of stabilizer and destabilizer under different rotating stages with the inner cylinder at rest. For the heat buoyancyinduced axial flow, spiral structures are found in the instability modes.The linear stability is studied of flows confined between two concentric cylinders, in which the radial temperature gradient and axial gravity are considered for an incompressible Newtonian fluid. Numerical method based on the Petrov-Galerkin scheme is developed to deal with the buoyancy term in momentum equations and an additional temperature perturbation equation. Computations of the neutral stability curves are performed for different rotation cases. It is found that the flow instability is influenced by both centrifugal and axial shear instabilities, and the two instability mechanisms interact with each other. The outer cylinder rotation plays dual roles of stabilizer and destabilizer under different rotating stages with the inner cylinder at rest. For the heat buoyancyinduced axial flow, spiral structures are found in the instability modes.

关 键 词：SHEAR INSTABILITY POISEUILLE FLOW CENTRIFUGAL COMPETITION 

分 类 号：O35[理学—流体力学]