Flow past a cylinder and a sphere in a porous medium within the framework of the Brinkman equation with the Navier boundary condition. (English. Russian original) Zbl 1294.76238
Fluid Dyn. 49, No. 2, 232-237 (2014); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2014, No. 2, 107-112 (2014).
Summary: Exact analytical solutions of the problem of flow past a sphere and a cylinder in a porous medium are derived within the framework of the Brinkman equationwith the Navier boundary condition. Attention is drawn to the fact that the no-slip condition imposed on the interface between the porous medium and a solid, used, in particular, in the case of the Brinkman equation, must be in the general case replaced by a condition that admits nonzero flow velocity at the boundary.
MSC:
| 76S05 | Flows in porous media; filtration; seepage |
References:
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