Spin-up from rest in a cylinder

• William B. Watkins

  Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803

• R. G. Hussey

  Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803

抄録

The problem of impulsive spin-up from rest of a fluid of kinematic viscosity ν in a closed cylindrical container is examined numerically and experimentally. The shape of the velocity profiles is found to depend upon a parameter α0=h (ν/Ω1/2/a2, where h is the height, a is the radius, and Ω is the angular speed of the container. When α0 is less than 0.005, the numerical profiles agree well with the solutions of Wedemeyer and Venezian, and the fractional spin-up time (the time to reach some fraction of solid body rotation) is proportional to h (ν/Ω)−1/2. When α0 is larger than 1, the numerical profiles agree well with the solution of the diffusion equation, and the fractional spin-up time is proportional to a2/ν. For intermediate values of α0, the numerical profiles agree well with experiment, and the dependence of the fractional spin-up time on Ω, ν, h, and a varies with α0, with radial position r, and with the dimensionless angular velocity W=v/rΩ, where v is the azimuthal velocity.

収録刊行物

• The Physics of Fluids

  The Physics of Fluids 20 (10), 1596-1604, 1977-10-01

  AIP Publishing

キーワード

• General Engineering

詳細情報

• CRID: 1363670319513100160
• NII論文ID: 30015739397
• NII書誌ID: AA00773996
• DOI: 10.1063/1.861781
• ISSN: 00319171
• Web Site: https://pubs.aip.org/aip/pfl/article-pdf/20/10/1596/12267401/1596_1_online.pdf
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