Force on a sphere in a general potential flow.
Saved in:
| Title: | Force on a sphere in a general potential flow. |
|---|---|
| Authors: | Prosperetti, Andrea1,2 (AUTHOR) prosperetti@jhu.edu, Lott, Cameron P.2,3 (AUTHOR), Balachandar, S.3 (AUTHOR) |
| Source: | Journal of Fluid Mechanics. 5/10/2026, Vol. 1034, p1-13. 13p. |
| Subjects: | Potential flow, Spheres, Unsteady flow, Hydrodynamics, Fluid dynamics |
| Abstract: | The force on a spherical particle moving arbitrarily in a fairly general class of unsteady potential flows is calculated. It is found that the force, which can be expressed as the gradient of a potential, takes the form of an infinite series of progressively higher order in the ratio of the sphere's radius to the scales of the surrounding flow. The first few terms conform with the known form usually referred to as 'added mass force' but, when the remaining terms are non-negligible, this concept becomes less relevant. Thus, unlike Faxèn's extension of Stokes's drag law, it proves impossible to generalise the idea of added mass to particles that are not much smaller than the flow scales. The kinetic energy of the fluid in excess of that which it would have in the absence of the sphere is also calculated when the flows considered are unbounded. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 193952181 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Force on a sphere in a general potential flow. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Prosperetti%2C+Andrea%22">Prosperetti, Andrea</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> prosperetti@jhu.edu</i><br /><searchLink fieldCode="AR" term="%22Lott%2C+Cameron+P%2E%22">Lott, Cameron P.</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Balachandar%2C+S%2E%22">Balachandar, S.</searchLink><relatesTo>3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 5/10/2026, Vol. 1034, p1-13. 13p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Potential+flow%22">Potential flow</searchLink><br /><searchLink fieldCode="DE" term="%22Spheres%22">Spheres</searchLink><br /><searchLink fieldCode="DE" term="%22Unsteady+flow%22">Unsteady flow</searchLink><br /><searchLink fieldCode="DE" term="%22Hydrodynamics%22">Hydrodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The force on a spherical particle moving arbitrarily in a fairly general class of unsteady potential flows is calculated. It is found that the force, which can be expressed as the gradient of a potential, takes the form of an infinite series of progressively higher order in the ratio of the sphere's radius to the scales of the surrounding flow. The first few terms conform with the known form usually referred to as 'added mass force' but, when the remaining terms are non-negligible, this concept becomes less relevant. Thus, unlike Faxèn's extension of Stokes's drag law, it proves impossible to generalise the idea of added mass to particles that are not much smaller than the flow scales. The kinetic energy of the fluid in excess of that which it would have in the absence of the sphere is also calculated when the flows considered are unbounded. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=193952181 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1017/jfm.2026.11504 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 1 Subjects: – SubjectFull: Potential flow Type: general – SubjectFull: Spheres Type: general – SubjectFull: Unsteady flow Type: general – SubjectFull: Hydrodynamics Type: general – SubjectFull: Fluid dynamics Type: general Titles: – TitleFull: Force on a sphere in a general potential flow. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Prosperetti, Andrea – PersonEntity: Name: NameFull: Lott, Cameron P. – PersonEntity: Name: NameFull: Balachandar, S. IsPartOfRelationships: – BibEntity: Dates: – D: 10 M: 05 Text: 5/10/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00221120 Numbering: – Type: volume Value: 1034 Titles: – TitleFull: Journal of Fluid Mechanics Type: main |
| ResultId | 1 |
