On the Flow of a Viscous Fluid past a thin Screen at Small Reynolds Numbers
スポンサーリンク
概要
- 論文の詳細を見る
The slow steady flow of a viscous incompressible fluid past a thin screen with holes or slits is investigated on the basis of the Stokes equations of motion. It is found that the flow conductance σ of the holes or slits (i.e. the ratio of the total flow Q to the pressure drop P) is given by σ = Q/(P) = M/(8,0,μ), where ρ is the density of the fluid, μ the viscosity, and M the virtual mass of disks or strips which are congruent with the holes or slits, moving broadside-on in a perfect fluid. The drag D acting on a part of the wall δW of the screen is also given by D = Pq_p, where q_p, is the total flow of the perfect fluid through δW in this movement with unit velocity. As examples, the cases of a single elliptic hole, a single slit, two parallel equal slits, and a series of parallel equal and equidistant slits are considered. Especially, in the last case, the total drag for an intervening strip is shown to be 4_<πμ>U/log|cos(επ/2)| where U is the velocity of the viscous fluid at infinity, and e the relative aperture of the screen (0 < ε < 1).
- 社団法人日本物理学会の論文
- 1958-06-05
著者
関連論文
- The Effect of a Semi-Infinite Plane on the Motion of a Small Particle in a Viscous Fluid
- Slow Motion of a Small Sphere outside of a Circular Cylinder
- Low Reynolds Number Shear Flow along an Elliptic Hole in a Wall
- Separation of Creeping Flow past Two Circular Cylinders
- Lateral Migration of a Spherical Particle in Flows in a Circular Tube
- Slow Motion of a Small Sphere in a Viscous Fluid in a Corner : I. Motion on and across the Bisector of a Wedge
- Motion of Two Identical Point Vortices in a Simple Shear Flow
- Motion of a Pair of Vortices in a Semicircular Domain
- On the Flow of a Viscous Fluid past a thin Screen at Small Reynolds Numbers
- Slow Motion of a Small Sphere in a Cylindrical Domain
- Boundary Layer Growth on a Flat Plate with Suction or Injection
- Note on Rayleigh's Problem for a Bent Flat Plate
- A Sphere Theorem on the Stokes Equation for Axisymmetric Viscous Flow
- Note on Rayleigh's Problem for a Circular Cylinder with Uniform Suction and Related Unsteady Flow Problem
- On the Asymptotic Behaviour of Three-dimensional Compressible Fluid Flow at a Great Distance from a Body, I : The Force and Moment on a Solid Body in a Stream of Compressible Fluid
- Simulation of Invariant Shapes of a Vortex Filament with an Elastic Rod
- Slow Motion of a Spherical Particle in a Viscous Fluid Bounded by Two Perpendicular Walls
- Some Particular Solutions for Symmetric Motion of Point Vortices in a Circular Cylinder
- Stockeslet Perpendicular to a Plane Wall with a Circular Hole
- Creeping Viscous Flow past a Circular Arc with Special Reference to Separation
- Low Reynolds Number Shear Flow along a Circular Hole in a Wall
- Axisynunetric Stokes Flow due to a Stokeslet near a Hole in a Plane Wall
- The Force on a Small Sphere Sedimenting in a Viscous Fluid Outside of a Circular Cylinder
- Rayleigh's Problem for a Cylinder of Arbitrary Shape
- On the Subsonic Flow of a Compressible Fluid past a Rankine Ovoid.
- Rayleigh's Problem for a Cylinder of Arbitrary Shape, II