Dynamics of a fluid contained in a spinning, coning cylinder

Raymond Sedney; Philip Hall; Nathan Gerber

doi:10.2514/6.1988-609

Dynamics of a fluid contained in a spinning, coning cylinder

Raymond Sedney, Philip Hall, Nathan Gerber

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

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 language	English
Title of host publication	Proceedings
Subtitle of host publication	26th Aerospace Sciences Meeting Reno, NV, U.S.A
Publisher	American Institute of Aeronautics and Astronautics
Number of pages	10
DOIs	https://doi.org/10.2514/6.1988-609
Publication status	Published - 1988
Event	AIAA Aerospace Sciences Meeting 1988 - Reno, United States of America Duration: 11 Jan 1988 → 14 Jan 1988 Conference number: 26th https://arc.aiaa.org/doi/book/10.2514/MASM88

Conference

Conference	AIAA Aerospace Sciences Meeting 1988
Abbreviated title	AIAA-88
Country/Territory	United States of America
City	Reno
Period	11/01/88 → 14/01/88
Internet address	https://arc.aiaa.org/doi/book/10.2514/MASM88

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10.2514/6.1988-609

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Cite this

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title = "Dynamics of a fluid contained in a spinning, coning cylinder",

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%. ",

author = "Raymond Sedney and Philip Hall and Nathan Gerber",

year = "1988",

doi = "10.2514/6.1988-609",

language = "English",

booktitle = "Proceedings",

publisher = "American Institute of Aeronautics and Astronautics",

address = "United States of America",

note = "AIAA Aerospace Sciences Meeting 1988, AIAA-88 ; Conference date: 11-01-1988 Through 14-01-1988",

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TY - GEN

T1 - Dynamics of a fluid contained in a spinning, coning cylinder

AU - Sedney, Raymond

AU - Hall, Philip

AU - Gerber, Nathan

N1 - Conference code: 26th

PY - 1988

Y1 - 1988

N2 - 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%.

AB - 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%.

U2 - 10.2514/6.1988-609

DO - 10.2514/6.1988-609

M3 - Conference Paper

BT - Proceedings

PB - American Institute of Aeronautics and Astronautics

T2 - AIAA Aerospace Sciences Meeting 1988

Y2 - 11 January 1988 through 14 January 1988

ER -