Wang, Yongqi ; Hutter, Kolumban (1999)
Shearing flows in a Goodman-Cowin type granular material - theory and numerical results.
In: Particulate Science and Technology, 17 (1-2)
doi: 10.1080/02726359908906807
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Goodman and Cowin (1972) proposed a continuum theory of a dry cohesionless granular material in which the solid volume fraction v is treated as an independent kinematic field for which an additional balance law of equilibrated forces is postulated. By adopting the Müller-Liu approach to the exploitation of the entropy inequality we show that in a constitutive model containing v1, v and grad v as independent variables results agree with the classical Coleman-Noll approach only provided the Helmholtz free energy does not depend on v, for which the Goodman-Cowin equations are reproduced. This reduced theory is then applied to analyses of steady fully-developed horizontal shearing flow and gravity flows of granular materials down an inclined plane and between vertical parallel plates. It is demonstrated that the equations and numerical results, presented by Passman et al. (1980) are false, and they are corrected. The results show that the dynamical behaviour of these materials is quite different from that of a viscous fluid. In some cases the dilatant shearing layers exist only in the narrow zones near the boundaries.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 1999 |
| Autor(en): | Wang, Yongqi ; Hutter, Kolumban |
| Art des Eintrags: | Bibliographie |
| Titel: | Shearing flows in a Goodman-Cowin type granular material - theory and numerical results |
| Sprache: | Englisch |
| Publikationsjahr: | 1 Januar 1999 |
| Verlag: | Taylor and Francis Group |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Particulate Science and Technology |
| Jahrgang/Volume einer Zeitschrift: | 17 |
| (Heft-)Nummer: | 1-2 |
| DOI: | 10.1080/02726359908906807 |
| URL / URN: | http://www.tandfonline.com/doi/abs/10.1080/02726359908906807 |
| Kurzbeschreibung (Abstract): | Goodman and Cowin (1972) proposed a continuum theory of a dry cohesionless granular material in which the solid volume fraction v is treated as an independent kinematic field for which an additional balance law of equilibrated forces is postulated. By adopting the Müller-Liu approach to the exploitation of the entropy inequality we show that in a constitutive model containing v1, v and grad v as independent variables results agree with the classical Coleman-Noll approach only provided the Helmholtz free energy does not depend on v, for which the Goodman-Cowin equations are reproduced. This reduced theory is then applied to analyses of steady fully-developed horizontal shearing flow and gravity flows of granular materials down an inclined plane and between vertical parallel plates. It is demonstrated that the equations and numerical results, presented by Passman et al. (1980) are false, and they are corrected. The results show that the dynamical behaviour of these materials is quite different from that of a viscous fluid. In some cases the dilatant shearing layers exist only in the narrow zones near the boundaries. |
| Freie Schlagworte: | granular materials; constitutive equations; iteration method; granular shearing flow |
| Zusätzliche Informationen: | DOI: 10.1080/02726359908906807 |
| Fachbereich(e)/-gebiet(e): | Studienbereiche 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) Studienbereiche > Studienbereich Mechanik |
| Hinterlegungsdatum: | 30 Aug 2011 14:35 |
| Letzte Änderung: | 19 Feb 2019 15:29 |
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