Nonlinear Stability of the Plane Couette and the Hagen-Poiseuilie Flows
スポンサーリンク
概要
- 論文の詳細を見る
The stability problems of the plane Couette and the Hagen-Poiseuille flows are studied. The nonlinear integro-differential equations which govern the mean and disturbance velocities are solved by making use of orthogonal function expansion and the Galerkin method. The stability characteristics are expressed as the equilibrium surface in a three-dimentional space of the Reynolds number, the wave number, and the disturbance energy. The critical Reynolds number is found to be 1.8105×10^5 (based on the relative velocity of boundary walls and the distance of walls) for the Couette flow and 1212.9 (based on the mean velocity and the diameter of the pipe) for the Hagen-Poiseuille flow.
- 社団法人日本物理学会の論文
- 1972-09-05
著者
-
Kuwabara Sinzi
Department Of Applied Physics Faculty Of Engineering Nagoya University
-
Kuwabara Sinzi
Department of Applied Physics, Faculty of Engineering, University of Tokyo
関連論文
- A Nonlinear Analysis on Stability of the Taylor-Couette Flow
- Analysis of the Steady Navier-Stokes Equations Based on Green's Function Approach
- Analysis of the Unsteady Navier-Stokes Equations Based on Green's Function Approach
- Natural Convection in a Confined Region between Two Concentric Square Ducts
- Dynamics of Multi-Component Plasma with Transport Phenomena
- Secondary Flow around a Circular Cylinder in Rotatory Oscillation
- Pseudo-Canonical Formulation of Three-Dimensional Vortex Motion
- Numerical Analysis of the Burst in the Turbulent Boundary Layer, Based on the Three-Dimensional Vortex Model
- Electrohydrodynamic Rayleigh- and Oscillating Plate-Problems
- Natural Convection in a Confined Region between Two Horizontal Ducts for Variable Fluid Properties
- The Forces experienced by a Lattice of Elliptic Cylinders in a Uniform Flow at Small Reynolds Numbers
- Nonlinear Stability of the Plane Couette and the Hagen-Poiseuilie Flows
- Vorton Model Analysis