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Hydrodynamic forces on two moving discs

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Hydrodynamic forces on two moving discs. / Burton, David A; Gratus, J.; Tucker, Robin W.
In: Theoretical and Applied Mechanics, Vol. 31, No. 2, 2004, p. 153-187.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Burton, DA, Gratus, J & Tucker, RW 2004, 'Hydrodynamic forces on two moving discs', Theoretical and Applied Mechanics, vol. 31, no. 2, pp. 153-187. https://doi.org/10.2298/TAM0402153B

APA

Burton, D. A., Gratus, J., & Tucker, R. W. (2004). Hydrodynamic forces on two moving discs. Theoretical and Applied Mechanics, 31(2), 153-187. https://doi.org/10.2298/TAM0402153B

Vancouver

Burton DA, Gratus J, Tucker RW. Hydrodynamic forces on two moving discs. Theoretical and Applied Mechanics. 2004;31(2):153-187. doi: 10.2298/TAM0402153B

Author

Burton, David A ; Gratus, J. ; Tucker, Robin W. / Hydrodynamic forces on two moving discs. In: Theoretical and Applied Mechanics. 2004 ; Vol. 31, No. 2. pp. 153-187.

Bibtex

@article{b3a1be0c30db4497ac4b416868e2878e,
title = "Hydrodynamic forces on two moving discs",
abstract = "We give a detailed presentation of a flexible method for constructing explicit expressions of irrotational and incompressible fluid flows around two rigid circular moving discs. We also discuss how such expressions can be used to compute the fluid-induced forces and torques on the discs in terms of Killing drives. Conformal mapping techniques are used to identify a meromorphic function on an annular region in C with a flow around two circular discs by a M{\"o}bius transformation. First order poles in the annular region correspond to vortices outside of the two discs. Inflows are incorporated by putting a second order pole at the point in the annulus that corresponds to infinity.",
author = "Burton, {David A} and J. Gratus and Tucker, {Robin W.}",
year = "2004",
doi = "10.2298/TAM0402153B",
language = "English",
volume = "31",
pages = "153--187",
journal = "Theoretical and Applied Mechanics",
publisher = "Serbian Society for Mechanics",
number = "2",

}

RIS

TY - JOUR

T1 - Hydrodynamic forces on two moving discs

AU - Burton, David A

AU - Gratus, J.

AU - Tucker, Robin W.

PY - 2004

Y1 - 2004

N2 - We give a detailed presentation of a flexible method for constructing explicit expressions of irrotational and incompressible fluid flows around two rigid circular moving discs. We also discuss how such expressions can be used to compute the fluid-induced forces and torques on the discs in terms of Killing drives. Conformal mapping techniques are used to identify a meromorphic function on an annular region in C with a flow around two circular discs by a Möbius transformation. First order poles in the annular region correspond to vortices outside of the two discs. Inflows are incorporated by putting a second order pole at the point in the annulus that corresponds to infinity.

AB - We give a detailed presentation of a flexible method for constructing explicit expressions of irrotational and incompressible fluid flows around two rigid circular moving discs. We also discuss how such expressions can be used to compute the fluid-induced forces and torques on the discs in terms of Killing drives. Conformal mapping techniques are used to identify a meromorphic function on an annular region in C with a flow around two circular discs by a Möbius transformation. First order poles in the annular region correspond to vortices outside of the two discs. Inflows are incorporated by putting a second order pole at the point in the annulus that corresponds to infinity.

U2 - 10.2298/TAM0402153B

DO - 10.2298/TAM0402153B

M3 - Journal article

VL - 31

SP - 153

EP - 187

JO - Theoretical and Applied Mechanics

JF - Theoretical and Applied Mechanics

IS - 2

ER -