Manning's Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stream Velocity = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius)^(2/3)*(Bed Slope)^(1/2)
v = (1/n)*(rH)^(2/3)*()^(1/2)
This formula uses 4 Variables
Variables Used
Stream Velocity - (Measured in Meter per Second) - The stream velocity is the speed of the water in the stream. It is greatest in midstream near the surface and is slowest along the stream bed and banks due to friction.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
Hydraulic Radius - (Measured in Meter) - 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.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
STEP 1: Convert Input(s) to Base Unit
Manning’s Roughness Coefficient: 0.412 --> No Conversion Required
Hydraulic Radius: 0.33 Meter --> 0.33 Meter No Conversion Required
Bed Slope: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = (1/n)*(rH)^(2/3)*(S̄)^(1/2) --> (1/0.412)*(0.33)^(2/3)*(4)^(1/2)
Evaluating ... ...
v = 2.31815287465428
STEP 3: Convert Result to Output's Unit
2.31815287465428 Meter per Second --> No Conversion Required
FINAL ANSWER
2.31815287465428 2.318153 Meter per Second <-- Stream Velocity
(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg
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4 Manning's Equation Calculators

Manning's Equation
Go Stream Velocity = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius)^(2/3)*(Bed Slope)^(1/2)
Hydraulic Radius using Manning Equation
Go Hydraulic Radius = ((Stream Velocity*Manning’s Roughness Coefficient)/(Bed Slope^(1/2)))^(3/2)
Slope of Gradient of Stream Bed given Discharge in Manning's Equation
Go Bed Slope = ((Stream Velocity*Manning’s Roughness Coefficient)/Hydraulic Radius^(2/3))^2
Hydraulic radius in Manning's formula
Go Hydraulic Radius = Cross-Sectional Area/Wetted Perimeter

Manning's Equation Formula

Stream Velocity = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius)^(2/3)*(Bed Slope)^(1/2)
v = (1/n)*(rH)^(2/3)*()^(1/2)

What is the significance of Manning's Equation in hydrology?

Manning's Equation is widely used in hydrology to design and analyze open channel flow systems, such as irrigation canals, stormwater drainage systems, and rivers.

How to Calculate Manning's Equation?

Manning's Equation calculator uses Stream Velocity = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius)^(2/3)*(Bed Slope)^(1/2) to calculate the Stream Velocity, The Manning's Equation formula is defined as it computes the flow of water in open non-full channels and pipes without the need for a flume, weir, or other structure. Stream Velocity is denoted by v symbol.

How to calculate Manning's Equation using this online calculator? To use this online calculator for Manning's Equation, enter Manning’s Roughness Coefficient (n), Hydraulic Radius (rH) & Bed Slope (S̄) and hit the calculate button. Here is how the Manning's Equation calculation can be explained with given input values -> 2.318153 = (1/0.412)*(0.33)^(2/3)*(4)^(1/2).

FAQ

What is Manning's Equation?
The Manning's Equation formula is defined as it computes the flow of water in open non-full channels and pipes without the need for a flume, weir, or other structure and is represented as v = (1/n)*(rH)^(2/3)*(S̄)^(1/2) or Stream Velocity = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius)^(2/3)*(Bed Slope)^(1/2). Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel, 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 & 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 Manning's Equation?
The Manning's Equation formula is defined as it computes the flow of water in open non-full channels and pipes without the need for a flume, weir, or other structure is calculated using Stream Velocity = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius)^(2/3)*(Bed Slope)^(1/2). To calculate Manning's Equation, you need Manning’s Roughness Coefficient (n), Hydraulic Radius (rH) & Bed Slope (S̄). With our tool, you need to enter the respective value for Manning’s Roughness Coefficient, Hydraulic Radius & Bed Slope and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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