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• W2062133064 abstract "An exact solution for the creeping flow past a porous spherical shell has been obtained using the Stokes & Brinkman equations. Expressions for the velocities and pressure fields both inside and outside of porous spherical shell are obtained and the force acting on the shell is also determined. It is found that the drag on a porous spherical shell is smaller as compared to the shell with solid core. Several limiting cases of the solution are also discussed. In particular it is shown that the solution obtained using Darcy's law can be derived easily with the appropriate choice of boundary conditions. Eine exakte Lösung der schleichenden Strömung hinter einer porösen Kugelschale wird unter Benutzung der Stokes- und Brinkmangleichungen abgeleitet. Ausdrücke für die Geschwindigkeiten und das Druckfeld innerhalb und außerhalb der porösen Kugelschale werden erhalten, und die auf die Schale wirkende Kraft wird ebenfalls bestimmt. Es zeigt sich, daß der Strömungswiderstand auf eine poröse Kugelschale, verglichen mit einer Schale mit festem Kern, kleiner ist. Verschiedene Grenzfälle der Lösung werden diskutiert. Insbesondere wird gezeigt, daß die Lösung, die aus dem Darcyschen Gesetz abgeleitet wird, leicht durch passende Wahl der Randbedingungen erhalten werden kann." @default.
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• W2062133064 date "1993-01-01" @default.
• W2062133064 modified "2023-09-26" @default.
• W2062133064 title "Creeping Flow Past a Porous Spherical Shell" @default.
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• W2062133064 doi "https://doi.org/10.1002/zamm.19930730207" @default.
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