Discharge from Manning's equation Calculator

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Engineering	Civil ↺
Civil	Hydrology and Irrigation ↺
Hydrology-And-Irrigation	Streamflow Measurement ↺
Streamflow-Measurement

✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Roughness Coefficient [n]			+10% -10%
✖Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specifies axis at a point.ⓘ Cross sectional area [A]			+10% -10%
✖hydraulic radius is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ hydraulic radius [R]			+10% -10%
✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope [S̄]			+10% -10%

✖Discharge is the rate of flow of a liquidⓘ Discharge from Manning's equation [Q]

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Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 500+ more calculators!

Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 500+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Stress at Point y for a Curved Beam

Stress=((Bending Moment )/(Cross sectional area*Radius of Centroidal Axis))*(1+((Distance of Point from Centroidal Axis)/(Cross-Section Property*(Radius of Centroidal Axis+Distance of Point from Centroidal Axis)))) GO

Bending Moment When Stress is Applied at Point y in a Curved Beam

Bending Moment =((Stress*Cross sectional area*Radius of Centroidal Axis)/(1+(Distance of Point from Centroidal Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance of Point from Centroidal Axis))))) GO

Neutral Axis to Outermost Fiber Distance when Total Unit Stress in Eccentric Loading is Given

Outermost Fiber Distance=(Total Unit Stress-(Axial Load/Cross sectional area))*Moment of Inertia about Neutral Axis/(Axial Load*Distance_from Load Applied) GO

Total Unit Stress in Eccentric Loading

Total Unit Stress=(Axial Load/Cross sectional area)+(Axial Load*Outermost Fiber Distance*Distance_from Load Applied/Moment of Inertia about Neutral Axis) GO

Maximum Bending Moment when Maximum Stress For Short Beams is Given

Maximum Bending Moment=((Maximum stress at crack tip-(Axial Load/Cross sectional area))*Moment of Inertia)/Distance from the Neutral axis GO

Maximum Stress For Short Beams

Maximum stress at crack tip=(Axial Load/Cross sectional area)+((Maximum Bending Moment*Distance from the Neutral axis)/Moment of Inertia) GO

Axial Load when Maximum Stress For Short Beams is Given

Axial Load=Cross sectional area*(Maximum stress at crack tip-(Maximum Bending Moment*Distance from the Neutral axis/Moment of Inertia)) GO

Electric Current when Drift Velocity is Given

Electric Current=Number of free charge particles per unit volume*[Charge-e]*Cross sectional area*Drift Velocity GO

Resistance

Resistance=(Resistivity*Length of Conductor)/Cross sectional area GO

Centrifugal Stress

Centrifugal Stress=2*Tensile Stress*Cross sectional area GO

Rate of Flow

Rate of flow=Cross sectional area*Average Velocity GO

< 11 Other formulas that calculate the same Output

Discharge with velocity of approach

Discharge=(2/3)*coefficient of discharging*Length*sqrt(2*[g])*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5)) GO

Discharge over a broad-crested weir for head of liquid at middle

Discharge=coefficient of discharging*Length*sqrt((2*[g])*((head of the liquid*head of liquid middle^2)-(head of liquid middle^3))) GO

Discharge over rectangle weir for Bazin's formula with velocity approach

Discharge=(0.405+(0.003/(head of the liquid+head due to Va)))*Length*sqrt(2*[g])*((head of the liquid+head due to Va)^1.5) GO

Discharge over a broad-crested weir with velocity approach

Discharge=1.705*coefficient of discharging*Length*(((head of the liquid+head due to Va)^1.5)-((head due to Va)^1.5)) GO

Discharge over rectangle weir with two end contractions

Discharge=(2/3)*coefficient of discharging*(Length-(0.2*head of the liquid))*sqrt(2*[g])*(head of the liquid^1.5) GO

Discharge over rectangle weir considering Francis's formula

Discharge=1.84*Length*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5)) GO

Discharge without velocity of approach

Discharge=(2/3)*coefficient of discharging*Length*sqrt(2*[g])*(initial height of liquid^1.5) GO

Discharge over rectangle weir considering Bazin's formula

Discharge=(0.405+(0.003/head of the liquid))*Length*sqrt(2*[g])*((head of the liquid)^1.5) GO

Discharge over a broad-crested weir

Discharge=1.705*coefficient of discharging*Length*(head of the liquid^1.5) GO

Discharge during retraction

Discharge=Velocity*(Area of piston-Area of piston rod) GO

Discharge during extension

Discharge=Velocity*Area of piston GO

Discharge from Manning's equation Formula

Discharge=(1/Manning’s Roughness Coefficient)*Cross sectional area*hydraulic radius^2/3*Bed Slope^1/2
Q=(1/n)*A*R^2/3*S̄^1/2

More formulas

Depth at the Gauging Station GO

Cease-to-flow Depth when Depth at the Gauging Station given GO

Friction Slope GO

Instantaneous Discharge when Friction Slope is given GO

Conveyance Function Determined by Manning’s Law GO

Conveyance Function determined by Chézy’s law GO

Diffusion Coefficient in Advection-diffusion flood routing GO

Cross-sectional area when Discharge is given from Manning's equation GO

Hydraulic Radius in Manning's formula GO

Hydraulic radius when Discharge is given in Manning equation GO

Slope of Gradient of the Stream bed when Discharge is given in Manning's equation GO

Mass flux computation GO

Instantaneous Discharge when Instantaneous Mass flux is given GO

Estimated Distance when Discharge is given in Tracer Method GO

Estimated Distance when Channel Width is given GO

Channel Width when Estimated Distance is given in Tracer Method GO

Water Table depth when Distance is given in Tracer Method GO

Surface Velocity of the river in Float Method GO

Mean River Velocity in Float Method GO

Manning’s Equation GO

Flow velocity in Continuous Discharge Measurements GO

Water Depth when Flow Velocity is given in Continuous Discharge Measurements GO

What is Manning's equation?

The Manning's equation is an empirical equation that applies to uniform flow in open channels and is a function of the channel velocity, flow area and channel slope.

How to Calculate Discharge from Manning's equation?

Discharge from Manning's equation calculator uses Discharge=(1/Manning’s Roughness Coefficient)*Cross sectional area*hydraulic radius^2/3*Bed Slope^1/2 to calculate the Discharge, Discharge from Manning's equation formula is defined as an empirical equation that describes the relationship between the velocity in a conduit and the channel geometry, slope, and a friction coefficient expressed as a Manning n. Discharge and is denoted by Q symbol.

How to calculate Discharge from Manning's equation using this online calculator? To use this online calculator for Discharge from Manning's equation, enter Manning’s Roughness Coefficient (n), Cross sectional area (A), hydraulic radius (R) and Bed Slope (S̄) and hit the calculate button. Here is how the Discharge from Manning's equation calculation can be explained with given input values -> 206.4512 = (1/0.012)*10*0.609600000002438^2/3*4^1/2.

FAQ

What is Discharge from Manning's equation?

Discharge from Manning's equation formula is defined as an empirical equation that describes the relationship between the velocity in a conduit and the channel geometry, slope, and a friction coefficient expressed as a Manning n and is represented as Q=(1/n)*A*R^2/3*S̄^1/2 or Discharge=(1/Manning’s Roughness Coefficient)*Cross sectional area*hydraulic radius^2/3*Bed Slope^1/2. Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel, Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specifies axis at a point, hydraulic radius is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit and Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

How to calculate Discharge from Manning's equation?

Discharge from Manning's equation formula is defined as an empirical equation that describes the relationship between the velocity in a conduit and the channel geometry, slope, and a friction coefficient expressed as a Manning n is calculated using Discharge=(1/Manning’s Roughness Coefficient)*Cross sectional area*hydraulic radius^2/3*Bed Slope^1/2. To calculate Discharge from Manning's equation, you need Manning’s Roughness Coefficient (n), Cross sectional area (A), hydraulic radius (R) and Bed Slope (S̄). With our tool, you need to enter the respective value for Manning’s Roughness Coefficient, Cross sectional area, hydraulic radius and Bed Slope and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Discharge?

In this formula, Discharge uses Manning’s Roughness Coefficient, Cross sectional area, hydraulic radius and Bed Slope. We can use 11 other way(s) to calculate the same, which is/are as follows -

Discharge=Velocity*Area of piston
Discharge=Velocity*(Area of piston-Area of piston rod)
Discharge=(2/3)*coefficient of discharging*Length*sqrt(2*[g])*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5))
Discharge=(2/3)*coefficient of discharging*Length*sqrt(2*[g])*(initial height of liquid^1.5)
Discharge=1.84*Length*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5))
Discharge=(0.405+(0.003/head of the liquid))*Length*sqrt(2*[g])*((head of the liquid)^1.5)
Discharge=(0.405+(0.003/(head of the liquid+head due to Va)))*Length*sqrt(2*[g])*((head of the liquid+head due to Va)^1.5)
Discharge=(2/3)*coefficient of discharging*(Length-(0.2*head of the liquid))*sqrt(2*[g])*(head of the liquid^1.5)
Discharge=1.705*coefficient of discharging*Length*(head of the liquid^1.5)
Discharge=coefficient of discharging*Length*sqrt((2*[g])*((head of the liquid*head of liquid middle^2)-(head of liquid middle^3)))
Discharge=1.705*coefficient of discharging*Length*(((head of the liquid+head due to Va)^1.5)-((head due to Va)^1.5))

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