CTC 440 Review Determining peak flows Rational method Q=CIA Intensity determined from IDF curves Set time of concentration=storm duration
CTC 440 Sizing Structures Hydraulic Devices Pipes Culverts Inlets Ditch &/or gutter flow Storm drainage systems Detention structures
Subjects Open Channel Flow Ditch flow Gutter flow Pipe flow (non-pressurized)
Objectives Know how to use Manning’s equation for uniform flow calculations Know how to calculate Normal Depth
Open Channel Flow Open to the atmosphere Creek/ditch/gutter/pipe flow Uniform flow-EGL/HGL/Channel Slope are parallel velocity/depth constant Varied flow-EGL/HGL/Channel Slope not parallel velocity/depth not constant
Uniform Flow in Open Channels Water depth, flow area, Q and V distribution at all sections throughout the entire channel reach remains unchanged The EGL, HGL and channel bottom lines are parallel to each other No acceleration or deceleration
Manning’s Equation Irish Engineer On the Flow of Water in Open Channels and Pipes Empirical equation See more: http://manning.sdsu.edu/\ http://el.erdc.usace.army.mil/elpubs/pdf/sr10.pdf#search=%22manning%20irish%20engineer%22
Manning’s Equation-Metric Q=AV=(1/n)(A)(Rh)2/3S1/2 Where: Q=flow rate (cms) A=wetted cross-sectional area (m2) Rh=Hydraulic Radius=A/WP (m) WP=Wetter Perimeter (m) S=slope (m/m) n=friction coefficient (dimensionless)
Manning’s Equation-English Q=AV=(1.486/n)(A)(Rh)2/3S1/2 Where: Q=flow rate (cfs) A=wetted cross-sectional area (ft2) Rh=Hydraulic Radius=A/WP (ft) WP=Wetter Perimeter (ft) S=slope (ft/ft) n=friction coefficient (dimensionless)
Manning’s Friction Coefficient http://www.lmnoeng.com/manningn.htm Typical values: Concrete pipe: n=.013 CMP pipe: n=.024
Example-Find Q Find the discharge of a rectangular channel 5’ wide w/ a 5% grade, flowing 1’ deep. The channel has a stone and weed bank (n=.035). A=5 sf; WP=7’; Rh=0.714 ft S=.05 Q=38 cfs
Example-Find S A 3-m wide rectangular irrigation channel carries a discharge of 25.3 cms @ a uniform depth of 1.2m. Determine the slope of the channel if Manning’s n=.022 A=3.6 sm; WP=5.4m; Rh=0.667m S=.041=4.1%
Triangular/Trapezoidal Channels Must use trigonometry to determine area and wetted perimeters
Pipe Flow Hydraulic radii and wetted perimeters are easy to calculate if the pipe is flowing full or half-full If pipe flow is at some other depth, then tables, figures, or software (flowmaster) are usually used
Using Manning’s equation to estimate pipe size Size pipe for Q=39 cfs Assume full flow Assume concrete pipe on a 2% grade Put Rh and A in terms of Dia. Solve for D=2.15 ft = 25.8” Choose a 27” or 30” RCP Velocity is approx. 9.8 ft/sec
Using Manning’s equation to estimate pipe size Size pipe for Q=220 cfs Assume full flow Assume concrete pipe on a 2% grade Put Rh and A in terms of Dia. Solve for D=4.1 ft = 49.5” Choose a 54” RCP Velocity is approx. 13.8 ft/sec ===high
Normal Depth Given Q, the depth at which the water flows uniformly Use Manning’s equation Must solve by trial/error (depth is in area term and in hydraulic radius term)
Normal Depth Example Find normal depth in a 10.0-ft wide concrete rectangular channel having a slope of 0.015 ft/ft and carrying a flow of 400 cfs. Assume: N=0.013
Normal Depth Example 7-3 Assumed D (ft) Area (sqft) Peri. (ft) Rh (ft) Q (cfs) 2.00 20 14 1.43 1.27 356 3.00 30 16 1.88 1.52 640 2.15 21.5 14.3 1.50 1.31 396
Inlets Capacity usually estimated using orifice or weir equations
Froude Number F=Vel/(g*D).5 F=Froude # V=Velocity (fps or m/sec) D=hydraulic depth=a/T (ft or m) g=gravitational constant F=1 (critical flow) F<1 (subcritical; tranquil flow) F>1 (supercritical; rapid flow)
Stormwater Definitions SWPPP-Stormwater Pollution Prevention Plan NPDES-National Pollutant Discharge Elimination System SPDES-State Pollutant Discharge Elimination System MS4-Municipal Separate Storm Sewer System NOI-Notice of Intent Blue Book-”New York Standards and Specification for Erosion and Sediment Control”
History Water Quality Act-1987 Phase I Stormwater Regulations-1990 First regulations dealing with discharge of stormwater Phase I Stormwater Regulations-1990 NYSDEC is local permitting authority NYSDEC issued 2 general permits-1993 Industrial Site Runoff Construction Projects > 5 acres (Phase I) Phase II Stormwater Regulations-1999 Apply to Construction Projects > 1 acre
SWPPP-Contents Standards for Construction Activities Background project info Site Map Soil Description Construction Phasing Plan Pollution Prevention Measures Description of Construction and Waste Materials Temporary and Permanent Structural and Vegetative Measures
SWPPP-Contents (contents) Map showing control measures Details of control measures Identify temporary measures to be converted to permanent control measures Maintenance Schedule Name of receiving water Description of structural practices used to divert flows Description of existing data that describes the stormwater runoff characteristics at the site
Commonly Used SWPPP Measures Construction Entrance Mulching/Seeding Silt Fences Straw Bale Dikes Drop Inlet Protection Stone Check Dams Prefabricated Check Dams
Construction Entrance http://pasture.ecn.purdue.edu/~sedspec/sedspec/images/construction.jpg http://www.harfordcountymd.gov/dpw/eng&const/WaterResources/Images/Sedimentcont2.jpg
Erosion Control (Mulching/Seeding) http://www.terra-mulch.com/photos/11-11.JPG http://www.ssseeds.com/ecb/photos/WS05/images/WS05%202-1%20Over%20Mulch.jpg
Silt fences www.acfenvironmental.com/ bmp_siltfence.htm www.forestry.state.ar.us/ bmp/appn_soil.html
Straw Bale Dikes http://www.salmonhabitat.org/images/v3f52b.gif http://www.forester.net/images/ec_0103_p78_top.jpg
Drop Inlet Protection http://unix.eng.ua.edu/~rpitt/Class/Erosioncontrol/Module8/Module8_files/image050.gif http://www.greatamericantec.com/images/inlet.jpg
Stone Check Dams http://www.ncc-swnpdes.com/images/stone_creek_dam.jpg http://www.dfr.state.nc.us/images/wq/glossary/rockcheckdam.jpg
Other Check Dams http://www.lakemac.infohunt.nsw.gov.au/erosion/images/09051.gif http://www.wsdot.wa.gov/NR/rdonlyres/BA478915-1B80-4188-BB59-37358244CBDF/0/CheckDam_Jan05.jpg
Detention Structures Designed for water quality, attenuation of peak flows, infiltration, aesthetics