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Kutter's Formula Formula

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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. Check FAQs

V = (\frac{1}{n} + \frac{23 + (\frac{0.00155}{S})}{1 + (23 + (\frac{0.00155}{S}))} \cdot (\frac{n}{\sqrt{R}})) \cdot (\sqrt{R \cdot S})

V - Velocity of Flow in Meter?n - Rugosity Coefficient?S - Bed Slope of Channel?R - Hydraulic Mean Depth in Meters?

Kutter's Formula Example

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Here is how the Kutter's Formula equation looks like with Values.

Here is how the Kutter's Formula equation looks like with Units.

Here is how the Kutter's Formula equation looks like.

1.5364 = (\frac{1}{0.0177} + \frac{23 + (\frac{0.00155}{0.0003})}{1 + (23 + (\frac{0.00155}{0.0003}))} \cdot (\frac{0.0177}{\sqrt{2.22}})) \cdot (\sqrt{2.22 \cdot 0.0003})

1.5364m/s = (\frac{1}{0.0177} + \frac{23 + (\frac{0.00155}{0.0003})}{1 + (23 + (\frac{0.00155}{0.0003}))} \cdot (\frac{0.0177}{\sqrt{2.22m}})) \cdot (\sqrt{2.22m \cdot 0.0003})

1.5364 = (\frac{1}{0.0177} + \frac{23 + (\frac{0.00155}{0.0003})}{1 + (23 + (\frac{0.00155}{0.0003}))} \cdot (\frac{0.0177}{\sqrt{2.22}})) \cdot (\sqrt{2.22 \cdot 0.0003})

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Kutter's Formula Solution

Follow our step by step solution on how to calculate Kutter's Formula?

FIRST Step Consider the formula

V = (\frac{1}{n} + \frac{23 + (\frac{0.00155}{S})}{1 + (23 + (\frac{0.00155}{S}))} \cdot (\frac{n}{\sqrt{R}})) \cdot (\sqrt{R \cdot S})

Next Step Substitute values of Variables

∴

V = (\frac{1}{0.0177} + \frac{23 + (\frac{0.00155}{0.0003})}{1 + (23 + (\frac{0.00155}{0.0003}))} \cdot (\frac{0.0177}{\sqrt{2.22m}})) \cdot (\sqrt{2.22m \cdot 0.0003})

Next Step Prepare to Evaluate

∴

V = (\frac{1}{0.0177} + \frac{23 + (\frac{0.00155}{0.0003})}{1 + (23 + (\frac{0.00155}{0.0003}))} \cdot (\frac{0.0177}{\sqrt{2.22}})) \cdot (\sqrt{2.22 \cdot 0.0003})

Next Step Evaluate

∴

V = 1.53643240886265m/s

LAST Step Rounding Answer

∴

V = 1.5364m/s

Kutter's Formula Formula Elements

Variables

Functions

Velocity of Flow in Meter

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.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Flow in Meter

Rugosity Coefficient

Rugosity coefficient is a value used in Manning's formula to determine energy losses of flowing water due to pipe.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rugosity Coefficient

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.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Bed Slope of Channel

Hydraulic Mean Depth in Meters

Hydraulic mean depth in meters the ratio of the cross-sectional area of flow to the free water surface or top width.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Mean Depth in Meters

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.

Syntax: sqrt(Number)

Other formulas in Kennedy's Theory category

Go R G Kennedy Equation for Critical Velocity

V ° = 0.55 \cdot m \cdot (Y^{0.64})

How to Evaluate Kutter's Formula?

Kutter's Formula evaluator 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 evaluate 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 evaluate Kutter's Formula using this online evaluator? To use this online evaluator for Kutter's Formula, enter Rugosity Coefficient (n), Bed Slope of Channel (S) & Hydraulic Mean Depth in Meters (R) and hit the calculate button.

FAQs on Kutter's Formula

What is the formula to find Kutter's Formula?

The formula of Kutter's Formula is expressed as 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)). Here is an example- 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)).

How to calculate Kutter's Formula?

With Rugosity Coefficient (n), Bed Slope of Channel (S) & Hydraulic Mean Depth in Meters (R) we can find Kutter's Formula using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

Can the Kutter's Formula be negative?

No, the Kutter's Formula, measured in Speed cannot be negative.

Which unit is used to measure Kutter's Formula?

Kutter's Formula is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Kutter's Formula can be measured.

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Kutter's Formula Formula

Kutter's Formula Example

Kutter's Formula Solution

Kutter's Formula Formula Elements

Other formulas in Kennedy's Theory category

How to Evaluate Kutter's Formula?

FAQs on Kutter's Formula

Variable Name