Analytical solution of oscillating inviscid flow over oblate spheroids with spheres and flat disks as special cases

R. S. Alassar; H. M. Badr

doi:10.1016/0029-8018(95)00070-4

Analytical solution of oscillating inviscid flow over oblate spheroids with spheres and flat disks as special cases

R. S. Alassar, H. M. Badr^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The hydrodynamic forces acting on an oblate spheroid placed in an oscillating free stream are obtained for the special case of inviscid flow. The flow is assumed incompressible and axisymmetric and the free stream oscillations are harmonic. The flow direction is always along the spheroid's axis of symmetry. Analytical expressions are obtained for the potential and stream functions as well as the surface pressure distribution and the hydrodynamic force coefficient. The analysis is based on the solution of the unsteady equations of motion and continuity in oblate spheroidal coordinate system. The parameters involved are the major to minor axes ratio and the Strouhal number. The solutions for the two limiting cases of oscillating flows over disks and spheres can be easily obtained from the presented analytical solution.

Original language	English
Pages (from-to)	217-225
Number of pages	9
Journal	Ocean Engineering
Volume	24
Issue number	3
DOIs	https://doi.org/10.1016/0029-8018(95)00070-4
State	Published - Mar 1997

Bibliographical note

Funding Information:
AcknowledgementTsh e authors wish to thank the support of King Fahd University of Petroleum and Minerals.

ASJC Scopus subject areas

Environmental Engineering
Ocean Engineering

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10.1016/0029-8018(95)00070-4

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@article{75e281476e3346399d51e4c6a7771d7b,

title = "Analytical solution of oscillating inviscid flow over oblate spheroids with spheres and flat disks as special cases",

abstract = "The hydrodynamic forces acting on an oblate spheroid placed in an oscillating free stream are obtained for the special case of inviscid flow. The flow is assumed incompressible and axisymmetric and the free stream oscillations are harmonic. The flow direction is always along the spheroid's axis of symmetry. Analytical expressions are obtained for the potential and stream functions as well as the surface pressure distribution and the hydrodynamic force coefficient. The analysis is based on the solution of the unsteady equations of motion and continuity in oblate spheroidal coordinate system. The parameters involved are the major to minor axes ratio and the Strouhal number. The solutions for the two limiting cases of oscillating flows over disks and spheres can be easily obtained from the presented analytical solution.",

author = "Alassar, \{R. S.\} and Badr, \{H. M.\}",

note = "Funding Information: AcknowledgementTsh e authors wish to thank the support of King Fahd University of Petroleum and Minerals.",

year = "1997",

month = mar,

doi = "10.1016/0029-8018(95)00070-4",

language = "English",

volume = "24",

pages = "217--225",

journal = "Ocean Engineering",

issn = "0029-8018",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - Analytical solution of oscillating inviscid flow over oblate spheroids with spheres and flat disks as special cases

AU - Alassar, R. S.

AU - Badr, H. M.

N1 - Funding Information: AcknowledgementTsh e authors wish to thank the support of King Fahd University of Petroleum and Minerals.

PY - 1997/3

Y1 - 1997/3

N2 - The hydrodynamic forces acting on an oblate spheroid placed in an oscillating free stream are obtained for the special case of inviscid flow. The flow is assumed incompressible and axisymmetric and the free stream oscillations are harmonic. The flow direction is always along the spheroid's axis of symmetry. Analytical expressions are obtained for the potential and stream functions as well as the surface pressure distribution and the hydrodynamic force coefficient. The analysis is based on the solution of the unsteady equations of motion and continuity in oblate spheroidal coordinate system. The parameters involved are the major to minor axes ratio and the Strouhal number. The solutions for the two limiting cases of oscillating flows over disks and spheres can be easily obtained from the presented analytical solution.

AB - The hydrodynamic forces acting on an oblate spheroid placed in an oscillating free stream are obtained for the special case of inviscid flow. The flow is assumed incompressible and axisymmetric and the free stream oscillations are harmonic. The flow direction is always along the spheroid's axis of symmetry. Analytical expressions are obtained for the potential and stream functions as well as the surface pressure distribution and the hydrodynamic force coefficient. The analysis is based on the solution of the unsteady equations of motion and continuity in oblate spheroidal coordinate system. The parameters involved are the major to minor axes ratio and the Strouhal number. The solutions for the two limiting cases of oscillating flows over disks and spheres can be easily obtained from the presented analytical solution.

UR - https://www.scopus.com/pages/publications/0042046721

U2 - 10.1016/0029-8018(95)00070-4

DO - 10.1016/0029-8018(95)00070-4

M3 - Article

AN - SCOPUS:0042046721

SN - 0029-8018

VL - 24

SP - 217

EP - 225

JO - Ocean Engineering

JF - Ocean Engineering

IS - 3

ER -

Analytical solution of oscillating inviscid flow over oblate spheroids with spheres and flat disks as special cases

Abstract

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ASJC Scopus subject areas

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