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Hydraulic Radius, pressure flow, SHEET 224-2

작성자 Uploader : ezcivil 작성일 Upload Date: 2017-02-04변경일 Update Date: 2017-02-05조회수 View : 1833

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HYDRAULIC DESIGN CRITERIA
SHEET 224-2
CONDUIT SECTIONS
HYDRAULIC ELEMENTS
PRESSURE FLOW

1. The Darcy resistance factor, being expressed in terms of conduit diameter, is theoretically applicable only to conduits of circular cross section. However, the concept of equivalent hydraulic diameter has been devised by Schiller and Nikuradse(1) to make the Darcy f applicable to noncircular sections. This concept assumes that the resistance losses in a noncircular conduit are the same as those in a circular conduit having an equivalent hydraulic radius and boundary roughness. A WES study(2) has shown that the equivalent hydraulic diameter concept is applicable to all conduit shapes normally encountered in hydraulic structure design.
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2. The equivalent diameter is derived from

D = 4R = (4A)/(WP)

where R is the hydraulic radius of the noncircular conduit, A is the cross-sectional area, WP is the wetted perimeter, and D is the diameter of a circular conduit having the same hydraulic radius. Hydraulic Design Chart 224-2 is presented as an aid in the computation of equivalent hydraulic diameter for various common conduit shapes.

References

(1) Schlichting, H., Boundary Layer Theory, English translation by J. Kestin, McGraw-Hill Book Co., Inc., New York, 1960.
(2) U. S. Army Engineer Waterways Experiment Station, CE, Resistance Losses in Noncircular Flood Control Conduits and Sluices, by R. G. Cox. Miscellaneous Paper H-73-1, Vicksburg, Miss. January 1973.


The hydraulic radius for the shapes shown in Chart 224-2 can be calculated in the following order.












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USACE, Hydraulic Design Criteria, SHEET 224-2, CONDUIT SECTIONS, HYDRAULIC ELEMENTS, PRESSURE FLOW



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