The present paper deals with the study of fluid forces in an incompressible viscous fluid at rest around an accelerated rigid circular cylinder. The movement subjected to the cylinder is an impulsive motion represented by a only one period of a sinusoidal acceleration. After this period, the cylinder is stopped. This study is performed for small displacement of the cylinder, i.e. for low KEULEGAN-CARPENTER numbers, and for various STOKES numbers. An analytical formulation of fluid forces exerted on a cylinder subjected to any motion is first proposed. The starting point of the analytical approach is the solution of fluid forces in steady state harmonic motion. A Fourier transform is applied on the harmonic solution to capture the wide frequency spectrum composing the transient motion. Then an inverse Fourier transform is applied on the expression to achieve the solution in the temporal space. A numerical simulation is then carried out with a CFD code using finite volume method with moving mesh technique in ALE formulation. The analytical and numerical solutions are exposed and discussed in the case of a cylinder subjected to a sine wave acceleration. The competition between the viscous diffusion time and the wave duration time is studied and highlights the history effect on pressure forces and shear forces.
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ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference
July 23–27, 2006
Vancouver, BC, Canada
Conference Sponsors:
- Pressure Vessels and Piping Division
ISBN:
0-7918-4755-1
PROCEEDINGS PAPER
Fluid Forces on a Moving Body at Low Amplitude in Fluid at Rest: Part 2 — Analytical and Numerical Study for an Accelerated Circular Cylinder Available to Purchase
Jean Franc¸ois Sigrist,
Jean Franc¸ois Sigrist
DCN Propulsion, La Montagne, France
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Christian Laine,
Christian Laine
DCN Propulsion, La Montagne, France
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Hassan Peerhossaini
Hassan Peerhossaini
CNRS UMR, Nantes, France
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Vincent Melot
CNRS UMR, Nantes, France
Jean Franc¸ois Sigrist
DCN Propulsion, La Montagne, France
Christian Laine
DCN Propulsion, La Montagne, France
Bruno Auvity
CNRS UMR, Nantes, France
Hassan Peerhossaini
CNRS UMR, Nantes, France
Paper No:
PVP2006-ICPVT-11-93016, pp. 35-44; 10 pages
Published Online:
July 23, 2008
Citation
Melot, V, Sigrist, JF, Laine, C, Auvity, B, & Peerhossaini, H. "Fluid Forces on a Moving Body at Low Amplitude in Fluid at Rest: Part 2 — Analytical and Numerical Study for an Accelerated Circular Cylinder." Proceedings of the ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. Volume 4: Fluid Structure Interaction, Parts A and B. Vancouver, BC, Canada. July 23–27, 2006. pp. 35-44. ASME. https://doi.org/10.1115/PVP2006-ICPVT-11-93016
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