CWR4202_Lecture_Packet_03_master

# CWR4202_Lecture_Packet_03_master - CWR 4202 Lecture Packet...

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CWR 4202 Lecture Packet 3 Unified Approach to Pipe and Open Channel Flow

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Conduits
Values of R: Open Channel

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Historical Developments in Hydraulics

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Highlights from Reading Assignment 1 Friction Loss Equations —Major Losses (pg. 13-17 of Computer Applications in Hydraulic Engineering). There are many equations that approximate the friction losses associated with the flow of a liquid through a given section. Commonly used methods include: • Manning's equation • Chezy's (Kutter'S) equati on • Hazen -Williams equation • Darcy -Weisbach (Colebrook-White) equation These equations are outlined in reading assignment 1 (see reading highlights next page). We will expand upon their development and application in Lecture Packet 4 and the Power Formulae handout posted on the course website. Portions of this material were adapted from: Andrew Chadwick, John Morfett and Martin Borthwick. Hydraulics in Civil and Environmental Engineering, Fourth Edition. 2004. Spon Press. NY, NY. Haestad and Durrans. 2003. Stormwater Conveyance Modeling and Design. Waterbury, CT : Haestad Press. Haested Methods. 2007. Computer Applications in Hydraulic Engineering. Bentley Institute Press. Exton, Pennsylvania.
Computer Applications in Hydraulic Engineering These equations can be described by a generalized friction equation: where V = kCR x SY }>o""''''''- (0)./""'.)"\" It.- V C R S mean velocity flow resistance factor hydraulic radius friction slope x, y = exponents -====-. k factor to account for empirical constants, unit conversion, etc. The lining material of the flow channel usually determines the flow resistance or roughness factor, C. However, the ultimate value of C may be a function of the channel shape, depth, and fluid velocity. Manning's Equation Manning's equation is the most commonly used open channel flow equation. The roughness component, C, is typically assumed to be constant over the full range of flows

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CWR4202_Lecture_Packet_03_master - CWR 4202 Lecture Packet...

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