Interpolation between Darcy-Weisbach and Darcy for laminar and turbulent flows

Title: Interpolation between Darcy-Weisbach and Darcy for laminar and turbulent flows
Creator: Hogarth, William L.; Parlange, J.-Y.; Rose, C. W.; Fuentes, C.; Haverkamp, R.; Walter, M. T.
Relation: Advances in Water Resources Vol. 28, no. 10, p. 1028-1031
Publisher: Elsevier
Resource Type: journal article
Date: 2005
Description: An equation describing flow in an open channel with obstacles is derived, following the conservation of momentum approach used by Belanger and St. Venant. When the obstacles are all submerged the result yields the Darcy-Weisbach equation for turbulent flow in pipes and open channels. When the obstacles are only partially submerged the result leads to the governing equation in a porous medium. If the flow is turbulent the square of the velocity is proportional to the hydraulic gradient and if the flow is laminar, which is the usual case, the velocity is proportional to the hydraulic gradient. This last result is in agreement with Darcy's law in porous media. Thus our equation interpolates between and reduces to, the two fundamental results of Darcy. In general our equation should prove useful in practice for open flow in a channel with both submerged and emerging obstacles.
Identifier: http://hdl.handle.net/1959.13/25130
Identifier: uon:280
Identifier: ISSN:0309-1708
Language: eng
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