Kutter's Formula Calculator

✖Rugosity coefficient is a value used in Manning's formula to determine energy losses of flowing water due to pipe.ⓘ Rugosity Coefficient [n]			+10% -10%
✖Bed slope of channel used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope of Channel [S]			+10% -10%
✖Hydraulic mean depth in meters the ratio of the cross-sectional area of flow to the free water surface or top width.ⓘ Hydraulic Mean Depth in Meters [R]			+10% -10%

✖Velocity of flow in meter is the flow velocity is defined as a superficial volume average, and it corresponds to a unit volume of the medium, including both the pores and the matrix.ⓘ Kutter's Formula [V]

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Formula

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Kutter's Formula

Formula

`"V" = (1/"n"+(23+(0.00155/"S"))/(1+(23+(0.00155/"S")))*("n"/sqrt("R")))*(sqrt("R"*"S"))`

Example

`"1.536432m/s"=(1/"0.0177"+(23+(0.00155/"0.000333"))/(1+(23+(0.00155/"0.000333")))*("0.0177"/sqrt("2.22m")))*(sqrt("2.22m"*"0.000333"))`

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Kutter's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Flow in Meter = (1/Rugosity Coefficient+(23+(0.00155/Bed Slope of Channel))/(1+(23+(0.00155/Bed Slope of Channel)))*(Rugosity Coefficient/sqrt(Hydraulic Mean Depth in Meters)))*(sqrt(Hydraulic Mean Depth in Meters*Bed Slope of Channel))
V = (1/n+(23+(0.00155/S))/(1+(23+(0.00155/S)))*(n/sqrt(R)))*(sqrt(R*S))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Velocity of Flow in Meter - (Measured in Meter per Second) - Velocity of flow in meter is the flow velocity is defined as a superficial volume average, and it corresponds to a unit volume of the medium, including both the pores and the matrix.
Rugosity Coefficient - Rugosity coefficient is a value used in Manning's formula to determine energy losses of flowing water due to pipe.
Bed Slope of Channel - Bed slope of channel used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
Hydraulic Mean Depth in Meters - (Measured in Meter) - Hydraulic mean depth in meters the ratio of the cross-sectional area of flow to the free water surface or top width.

STEP 1: Convert Input(s) to Base Unit

Rugosity Coefficient: 0.0177 --> No Conversion Required
Bed Slope of Channel: 0.000333 --> No Conversion Required
Hydraulic Mean Depth in Meters: 2.22 Meter --> 2.22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (1/n+(23+(0.00155/S))/(1+(23+(0.00155/S)))*(n/sqrt(R)))*(sqrt(R*S)) --> (1/0.0177+(23+(0.00155/0.000333))/(1+(23+(0.00155/0.000333)))*(0.0177/sqrt(2.22)))*(sqrt(2.22*0.000333))

Evaluating ... ...

V = 1.53643240886265

STEP 3: Convert Result to Output's Unit

1.53643240886265 Meter per Second --> No Conversion Required

FINAL ANSWER

1.53643240886265 ≈ 1.536432 Meter per Second <-- Velocity of Flow in Meter

(Calculation completed in 00.020 seconds)

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< 2 Kennedy's Theory Calculators

Kutter's Formula

Go Velocity of Flow in Meter = (1/Rugosity Coefficient+(23+(0.00155/Bed Slope of Channel))/(1+(23+(0.00155/Bed Slope of Channel)))*(Rugosity Coefficient/sqrt(Hydraulic Mean Depth in Meters)))*(sqrt(Hydraulic Mean Depth in Meters*Bed Slope of Channel))

R G Kennedy Equation for Critical Velocity

Go Velocity Flow at Bottom of Channel = 0.55*Critical Velocity Ratio*(Water Depth in Channel^0.64)

Kutter's Formula Formula

What is Kutters Rugosity coefficient?

n is roughness coefficient or rugosity coefficient. The roughness coefficient n is known as Kutter's n. The value of n varies widely depending upon the nature of inside surface of the sewer and its condition. Values of n for different types of surfaces commonly encountered in practice

what is the formula for Hydraulic Depth?

Hydraulic depth, abbreviated as dh, also called hydraulic mean depth, is the area cross-section of water in a pipe or channel divided by the wetting perimeter.

Hydraulic Depth formula
dh=Acw

How to Calculate Kutter's Formula?

Kutter's Formula calculator uses Velocity of Flow in Meter = (1/Rugosity Coefficient+(23+(0.00155/Bed Slope of Channel))/(1+(23+(0.00155/Bed Slope of Channel)))*(Rugosity Coefficient/sqrt(Hydraulic Mean Depth in Meters)))*(sqrt(Hydraulic Mean Depth in Meters*Bed Slope of Channel)) to calculate the Velocity of Flow in Meter, The Kutter's Formula formula is defined as the value of the velocity depending on the roughness of the channel, depth is considered not to effect N to any appreciable extent in alluvial soils, S= water surface slope, and R = mean hydraulic radius or depth (m). Velocity of Flow in Meter is denoted by V symbol.

How to calculate Kutter's Formula using this online calculator? To use this online calculator for Kutter's Formula, enter Rugosity Coefficient (n), Bed Slope of Channel (S) & Hydraulic Mean Depth in Meters (R) and hit the calculate button. Here is how the Kutter's Formula calculation can be explained with given input values -> 1.536432 = (1/0.0177+(23+(0.00155/0.000333))/(1+(23+(0.00155/0.000333)))*(0.0177/sqrt(2.22)))*(sqrt(2.22*0.000333)).

FAQ

What is Kutter's Formula?

The Kutter's Formula formula is defined as the value of the velocity depending on the roughness of the channel, depth is considered not to effect N to any appreciable extent in alluvial soils, S= water surface slope, and R = mean hydraulic radius or depth (m) and is represented as V = (1/n+(23+(0.00155/S))/(1+(23+(0.00155/S)))*(n/sqrt(R)))*(sqrt(R*S)) or Velocity of Flow in Meter = (1/Rugosity Coefficient+(23+(0.00155/Bed Slope of Channel))/(1+(23+(0.00155/Bed Slope of Channel)))*(Rugosity Coefficient/sqrt(Hydraulic Mean Depth in Meters)))*(sqrt(Hydraulic Mean Depth in Meters*Bed Slope of Channel)). Rugosity coefficient is a value used in Manning's formula to determine energy losses of flowing water due to pipe, Bed slope of channel used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow & Hydraulic mean depth in meters the ratio of the cross-sectional area of flow to the free water surface or top width.

How to calculate Kutter's Formula?

The Kutter's Formula formula is defined as the value of the velocity depending on the roughness of the channel, depth is considered not to effect N to any appreciable extent in alluvial soils, S= water surface slope, and R = mean hydraulic radius or depth (m) is calculated using Velocity of Flow in Meter = (1/Rugosity Coefficient+(23+(0.00155/Bed Slope of Channel))/(1+(23+(0.00155/Bed Slope of Channel)))*(Rugosity Coefficient/sqrt(Hydraulic Mean Depth in Meters)))*(sqrt(Hydraulic Mean Depth in Meters*Bed Slope of Channel)). To calculate Kutter's Formula, you need Rugosity Coefficient (n), Bed Slope of Channel (S) & Hydraulic Mean Depth in Meters (R). With our tool, you need to enter the respective value for Rugosity Coefficient, Bed Slope of Channel & Hydraulic Mean Depth in Meters 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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