Dynamics of a fluid contained in a spinning, coning cylinder

Raymond Sedney, Philip Hall, Nathan Gerber

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Abstract

The fluid motion inside a cylinder which simultaneously spins and cones is determined according to linear theory for small coning angles. The Navier-Stokes equations are solved by expansions in spatial eigenfunctions. This form of spectral method gives an efficient solver over a wide range of Reynolds numbers; cases for Re ≤ 2,500 have been computed.  The results are validated by comparing computed and measured pressure and moment coefficients.  Comparisons are also made with results from a nonlinear finite difference method for which the CPU time is about 400 times that of the present method.  The CPU time for the spatial eigenvalue method varies from 10 seconds at Re = 10 to 25 minutes at Re = 1,000.  The restriction of linear theory is not severe; for coning angle of 200, the moment coefficient from linear and nonlinear computations differ by 2%. 
Original languageEnglish
Title of host publicationProceedings
Subtitle of host publication26th Aerospace Sciences Meeting Reno, NV, U.S.A
PublisherAmerican Institute of Aeronautics and Astronautics
Number of pages10
DOIs
Publication statusPublished - 1988
EventAIAA Aerospace Sciences Meeting 1988 - Reno, United States of America
Duration: 11 Jan 198814 Jan 1988
Conference number: 26th
https://arc.aiaa.org/doi/book/10.2514/MASM88

Conference

ConferenceAIAA Aerospace Sciences Meeting 1988
Abbreviated titleAIAA-88
CountryUnited States of America
CityReno
Period11/01/8814/01/88
Internet address

Cite this

Sedney, R., Hall, P., & Gerber, N. (1988). Dynamics of a fluid contained in a spinning, coning cylinder. In Proceedings: 26th Aerospace Sciences Meeting Reno, NV, U.S.A [0609] American Institute of Aeronautics and Astronautics. https://doi.org/10.2514/6.1988-609