Rapid shear flows of dry granular masses down curved and twisted channels
This paper presents a two-dimensional depth-integrated theory for the gravity-driven free-surface flow of a granular avalanche over an arbitrarily but gently curved and twisted topography which is an important extension of the original Savage & Hutter theory. In contrast to previous extensions t...
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| Veröffentlicht in: | Journal of fluid mechanics 2003-11, Vol.495, p.193-208, Article S0022112003006141 |
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| creator | PUDASAINI, SHIVA P. HUTTER, KOLUMBAN |
| description | This paper presents a two-dimensional depth-integrated theory for the gravity-driven free-surface flow of a granular avalanche over an arbitrarily but gently curved and twisted topography which is an important extension of the original Savage & Hutter theory. In contrast to previous extensions the present coordinate system is based on a reference curve with curvature and torsion. Its derivation was necessary because real avalanches are often guided by rather curved and twisted valleys or more general slopes. The aim is to gain fundamental insight into the effects of non-uniform curvature and torsion, using an orthogonal coordinate system that rotates with torsion, and find an analytic description of flow avalanches. We present a set of model equations which comprises nonlinear hyperbolic partial differential equations for the space and time evolution of the granular pile height and the depth-averaged streamwise velocity distribution of a finite mass of granulates. The emerging theory is believed to be capable of predicting the flow of dense granular materials over moderately curved and twisted channels of general type. |
| doi_str_mv | 10.1017/S0022112003006141 |
| format | Article |
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We present a set of model equations which comprises nonlinear hyperbolic partial differential equations for the space and time evolution of the granular pile height and the depth-averaged streamwise velocity distribution of a finite mass of granulates. 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Fluid Mech</addtitle><date>2003-11-25</date><risdate>2003</risdate><volume>495</volume><spage>193</spage><epage>208</epage><pages>193-208</pages><artnum>S0022112003006141</artnum><issn>0022-1120</issn><eissn>1469-7645</eissn><coden>JFLSA7</coden><abstract>This paper presents a two-dimensional depth-integrated theory for the gravity-driven free-surface flow of a granular avalanche over an arbitrarily but gently curved and twisted topography which is an important extension of the original Savage & Hutter theory. In contrast to previous extensions the present coordinate system is based on a reference curve with curvature and torsion. Its derivation was necessary because real avalanches are often guided by rather curved and twisted valleys or more general slopes. The aim is to gain fundamental insight into the effects of non-uniform curvature and torsion, using an orthogonal coordinate system that rotates with torsion, and find an analytic description of flow avalanches. We present a set of model equations which comprises nonlinear hyperbolic partial differential equations for the space and time evolution of the granular pile height and the depth-averaged streamwise velocity distribution of a finite mass of granulates. The emerging theory is believed to be capable of predicting the flow of dense granular materials over moderately curved and twisted channels of general type.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0022112003006141</doi><tpages>16</tpages></addata></record> |
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| source | Cambridge Journals |
| subjects | Cross-disciplinary physics: materials science rheology Differential equations Exact sciences and technology Free surfaces Granular solids Material form Physics Rheology Surface flow Velocity distribution |
| title | Rapid shear flows of dry granular masses down curved and twisted channels |
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