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If the two cylinders rotate in opposite sense then spiral vortex flow arises. Beyond a certain Reynolds number there is the onset of turbulence . Circular Couette flow has wide applications ranging from desalination to magnetohydrodynamics and also in viscosimetric analysis.
On the surface of the cylinder, or r = R, pressure varies from a maximum of 1 (shown in the diagram in red) at the stagnation points at θ = 0 and θ = π to a minimum of −3 (shown in blue) on the sides of the cylinder, at θ = π / 2 and θ = 3π / 2 . Likewise, V varies from V = 0 at the stagnation points to V = 2U on the ...
In fluid dynamics, Rayleigh problem also known as Stokes first problem is a problem of determining the flow created by a sudden movement of an infinitely long plate from rest, named after Lord Rayleigh and Sir George Stokes.
Some commonly used solutions are listed below. The theory used to compute these solutions is discussed later in the article. Solutions for multitude of other technically relevant shapes, e.g. the truncated cone, the worn sphere, rough profiles, hollow cylinders, etc. can be found in [16]
Where is the dimensionless Strouhal number, is the vortex shedding frequency (Hz), is the diameter of the cylinder (m), and is the flow velocity (m/s). The Strouhal number depends on the Reynolds number R e {\displaystyle \mathrm {Re} } , [ 5 ] but a value of 0.22 is commonly used. [ 6 ]
A Tipler cylinder is used as a plot device in Chuck Grossart's story "The Phoenix Descent". Episode 9 of the webseries Ask Weathersby [14] mentions the Tipler cylinder, discussing time travel. [15] In "The Miracle of Christmas", Episode 2.11 of the American TV series Timeless, a Tipler cylinder is mentioned as being added to an upgraded time ...
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Streamlines immediately below the cylinder are curved with a larger radius than streamlines above the cylinder. This means there is higher pressure acting on the lower surface than on the upper. [15] Air immediately above and below the cylinder is curving downwards, accelerated by the pressure gradient. A downwards force is acting on the air.