Wall effects on Reiner-Rivlin liquid spheroid
dc.contributor.author | Jaiswal, Bharat Raj | |
dc.contributor.author | Gupta, B. R. | |
dc.date.accessioned | 2015-02-13T07:22:16Z | |
dc.date.available | 2015-02-13T07:22:16Z | |
dc.date.issued | 2014 | |
dc.description.abstract | An analysis is carried out to study the flow characteristics of creeping motion of an inner non-Newtonian Reiner-Rivlin liquid spheroid r = 1+ ∑k=2∞αkGk(cos θ), here αk is very small shape factor and Gk is Gegenbauer function of first kind of order k, at the instant it passes the centre of a rigid spherical container filled with a Newtonian fluid. The shape of the liquid spheroid is assumed to depart a bit at its surface from the shape a sphere. The analytical expression for stream function solution for the flow in spherical container is obtained by using Stokes equation. While for the flow inside the Reiner-Rivlin liquid spheroid, the expression for stream function is obtained by expressing it in a power series of S, characterizing the cross-viscosity of Reiner-Rivlin fluid. Both the flow fields are then determined explicitly by matching the boundary conditions at the interface of Newtonian fluid and non-Newtonian fluid and also the condition of impenetrability and no-slip on the outer surface to the first order in the small parameter ε, characterizing the deformation of the liquid sphere. As an application, we consider an oblate liquid spheroid r = 1+2εG2(cos θ) and the drag and wall effects on the body are evaluated. Their variations with regard to separation parameter, viscosity ratio λ, cross-viscosity, i.e., S and deformation parameter are studied and demonstrated graphically. Several well-noted cases of interest are derived from the present analysis. Attempts are made to compare between Newtonian and Reiner-Rivlin fluids which yield that the cross-viscosity μc is to decrease the wall effects K and to increase the drag DN when deformation is comparatively small. It is observed that drag not only varies with λ, but as η increases, the rate of change in behavior of drag force increases also. | en |
dc.format | 20 s. | cs |
dc.format.mimetype | application/pdf | |
dc.identifier.citation | Applied and Computational Mechanics. 2014, vol. 8, no. 2, p. 157-176. | en |
dc.identifier.issn | 1803-680X (Print) | |
dc.identifier.issn | 2336-1182 (Online) | |
dc.identifier.uri | http://www.kme.zcu.cz/acm/acm/article/view/268/300 | |
dc.identifier.uri | http://hdl.handle.net/11025/11955 | |
dc.language.iso | en | en |
dc.publisher | University of West Bohemia | en |
dc.relation.ispartofseries | Applied and Computational Mechanics | en |
dc.rights | © 2014 University of West Bohemia. All rights reserved. | en |
dc.rights.access | openAccess | en |
dc.subject | Reiner-Rivlinova kapalina | cs |
dc.subject | Gegenbauerova funkce | cs |
dc.subject | proudová funkce | cs |
dc.subject | sféroid | cs |
dc.subject | tažná síla | cs |
dc.subject | faktor korekce stěny | cs |
dc.subject | sférický kontejner | cs |
dc.subject.translated | Reiner-Rivlin fluid | en |
dc.subject.translated | Gegenbauer function | en |
dc.subject.translated | stream functions | en |
dc.subject.translated | spheroid | en |
dc.subject.translated | drag force | en |
dc.subject.translated | wall correction factor | en |
dc.subject.translated | spherical container | en |
dc.title | Wall effects on Reiner-Rivlin liquid spheroid | en |
dc.type | článek | cs |
dc.type | article | en |
dc.type.status | Peer-reviewed | en |
dc.type.version | publishedVersion | en |
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