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A mathematical model for the motion of an in-flight soccer ball
dc.contributor.author | Myers, Timothy |
dc.contributor.author | Mitchell, Sarah Louise |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2017-06-19T12:03:06Z |
dc.date.available | 2017-06-19T12:03:06Z |
dc.date.issued | 2013 |
dc.identifier.citation | Myers, T., Mitchell, S. L. A mathematical model for the motion of an in-flight soccer ball. "Sports engineering", 2013, vol. 16, núm. 1, p. 29-41. |
dc.identifier.issn | 1369-7072 |
dc.identifier.uri | http://hdl.handle.net/2117/105606 |
dc.description | The final publication is available at link.springer.com |
dc.description.abstract | In this paper, an analytical and numerical study of the three-dimensional equations describing the motion through the air of a spinning ball is presented. The initial analysis involves constant drag coefficients, but is later extended to involve drag varying with the spin ratio. Excellent agreement is demonstrated between numerical, analytical and experimental results. The analytical solution shows explicitly how the ball’s motion depends on parameters such as ball roughness, velocity and atmospheric conditions. The importance of applying three-dimensional models, rather than two-dimensional approximations, is demonstrated. |
dc.format.extent | 13 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.other | Aerodynamics |
dc.subject.other | Soccer ball flight |
dc.subject.other | Spinning soccer ball |
dc.subject.other | Magnus force |
dc.subject.other | Perturbation solution |
dc.title | A mathematical model for the motion of an in-flight soccer ball |
dc.type | Article |
dc.identifier.doi | 10.1007/s12283-012-0105-8 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::76 Fluid mechanics::76G25 General aerodynamics and subsonic flows |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s12283-012-0105-8 |
dc.rights.access | Open Access |
local.identifier.drac | 18301741 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/256417/EU/Industrial applications of moving boundary problems/TMCRM |
local.citation.author | Myers, T.; Mitchell, Sarah Louise |
local.citation.publicationName | Sports engineering |
local.citation.volume | 16 |
local.citation.number | 1 |
local.citation.startingPage | 29 |
local.citation.endingPage | 41 |
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