Flow State 1 32 Inch

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Units: cfs=cubic foot per second, cm=centimeter, ft=foot, gal=U.S. gallon, m=meter, min=minute, s=second, yr=year

Topics: IntroductionVariablesManning's n coefficientsError messagesReferences

Introduction
The equation beginning V=.. is called the Manning Equation. It is a semi-empirical equation and is the most commonly used equation for uniform steady state flow of water in open channels (see Discussion and References for Open Channel Flow for further discussion). Because it is empirical, the Manning equation has inconsistent units which are handled through the conversion factor k. Uniform means that the water surface has the same slope as the channel bottom. Uniform flow is actually only achieved in channels that are long and have an unchanging cross-section. However, the Manning equation is used in other situations despite not strictly achieving these conditions.

To model a channel that has sloped sides, rather than vertical sides, please see our trapezoidal open channel calculator. We wrote the rectangular open channel hydraulics calculator before we wrote the trapezoidal channel calculator. Audiobook builder 2 0 download free. Even though the trapezoidal calculator solves the case of a rectangular channel, we have kept the rectangular open channel flow calculator on the website.

In our rectangular open channel flow calculation, most of the combinations of inputs have analytic (closed form) solutions to compute the unknown variables; however, two require numerical solutions ('Enter Q, n, S, y' and 'Enter Q, n, S, b'). Our numerical solutions utilize a cubic solver. All of our calculations utilize double precision.

Flow State 1 32 Inches

Variables [L]=Length units, [T]=Time units. To top of page
A = Flow cross-sectional area, determined normal (perpendicular) to the bottom surface [L2].
b = Channel bottom width [L].
F = Froude number. F is a non-dimensional parameter indicating the relative effect of inertial effects to gravity effects. Flows with F<1 are low velocity flows called subcritical. F>1 are high velocity flows called supercritical. Subcritical flows are controlled by downstream obstructions while supercritical flows are affected by upstream controls. F=1 flows are called critical.
g = acceleration due to gravity = 32.174 ft/s2 = 9.8066 m/s2. g is used in the equation for Froude number.
k = unit conversion factor = 1.49 if English units = 1.0 if metric units. Our software converts all inputs to SI units (meters and seconds), performs the computations using k=1.0, then converts the computed quantities to units specified by the user. Required since the Manning equation is empirical and its units are inconsistent.
n = Manning coefficient. n is a function of the channel material, such as gravel, earthy, weedy, concrete, etc. Values for n can be found in the table below of Manning's n coefficients.
P = Wetted perimeter [L]. P is the contact length (in the cross-section) between the water and the channel.
Q = Discharge or flow rate [L3/T].
R = Hydraulic radius of the flow cross-section [L].
S = Slope of channel bottom or water surface [L/L]. Vertical distance divided by horizontal distance.
V = Average velocity of the water [L/T].
y = Water depth measured normal (perpendicular) to the bottom of the channel [L]. If the channel has a small slope (S), then entering the vertical depth introduces only minimal error.
Manning's n Coefficients To top of page
The table shows the Manning n values for materials that might be used in open channels. These values were compiled from the references listed under Discussion and References and in the references at the bottom of this web page (note the footnotes which refer to specific references).

MaterialManning nMaterialManning n
Natural StreamsExcavated Earth Channels
Clean and Straight0.030Clean0.022
Major Rivers0.035Gravelly0.025
Sluggish with Deep Pools0.040Weedy0.030
Stony, Cobbles0.035
MetalsFloodplains
Brass0.011Pasture, Farmland0.035
Cast Iron0.013Light Brush0.050
Smooth Steel0.012Heavy Brush0.075
Corrugated Metal0.022Trees0.15
Non-Metals
Glass0.010Finished Concrete0.012
Clay Tile0.014Unfinished Concrete0.014
Brickwork0.015Gravel0.029
Asphalt0.016Earth0.025
Masonry0.025Planed Wood0.012
Unplaned Wood0.013
Corrugated Polyethylene (PE) with smooth inner walls a,b0.009-0.015
Corrugated Polyethylene (PE) with corrugated inner walls c0.018-0.025
Polyvinyl Chloride (PVC) with smooth inner walls d,e0.009-0.011


Error MessagesTo top of page
'An input is ≤ 0'. All inputs must be positive.

'Infeasible input. Output < 0'. One or more computed values are negative, which is physically impossible.

ReferencesTo top of page
Footnotes refer to Manning n table above. All equations and other Manning n values were obtained from the references listed in our Discussion and References page.

a Barfuss, Steven and J. Paul Tullis. Friction factor test on high density polyethylene pipe. Hydraulics Report No. 208. Utah Water Research Laboratory, Utah State University. Logan, Utah. 1988.

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c Barfuss, Steven and J. Paul Tullis. Friction factor test on high density polyethylene pipe. Hydraulics Report No. 208. Utah Water Research Laboratory, Utah State University. Logan, Utah. 1994.

Flow State 1 32 Inch Monitor

e Bishop, R.R. and R.W. Jeppson. Hydraulic characteristics of PVC sewer pipe in sanitary sewers. Utah State University. Logan, Utah. September 1975.

Flow State 1 32 Inch

d Neale, L.C. and R.E. Price. Flow characteristics of PVC sewer pipe. Journal of the Sanitary Engineering Division, Div. Proc 90SA3, ASCE. pp. 109-129. 1964.

Flow State 1 32 Inch Utv Tires

b Tullis, J. Paul, R.K. Watkins, and S. L. Barfuss. Innovative new drainage pipe. Proceedings of the International Conference on Pipeline Design and Installation, ASCE. March 25-27, 1990.

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7860 Angel Ridge Rd. Athens, Ohio 45701 USA Phone: (740) 707-2614
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