Rugosity Coefficient given Self Cleansing Velocity Calculator

✖Self Cleansing Velocity is the rate of change of displacement.ⓘ Self Cleansing Velocity [V_s]			+10% -10%
✖The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width.ⓘ Hydraulic mean depth [m]			+10% -10%
✖Constant which depend upon southern pine and other species.ⓘ Constant [x]			+10% -10%
✖Diameter of the grain means the diameter of the particle of sediments.ⓘ Diameter of the grain [d^']			+10% -10%
✖Specific gravity of sediment is the ratio of density of sediment to density of standard substance.ⓘ Specific gravity of sediment [G]			+10% -10%

✖Rugosity coefficient depend upon the type of channel surface.ⓘ Rugosity Coefficient given Self Cleansing Velocity [n]

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Formula

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Rugosity Coefficient given Self Cleansing Velocity

Formula

`"n" = (1/"V"_{"s"})*("m")^(1/6)*sqrt("x"*"d"^{"'"}*("G"-1))`

Example

`"2.201699"=(1/"2m/s")*("10m")^(1/6)*sqrt("10"*"3m"*("1.3"-1))`

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Rugosity Coefficient given Self Cleansing Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rugosity coefficient = (1/Self Cleansing Velocity)*(Hydraulic mean depth)^(1/6)*sqrt(Constant*Diameter of the grain*(Specific gravity of sediment-1))
n = (1/V_s)*(m)^(1/6)*sqrt(x*d^'*(G-1))
This formula uses 1 Functions, 6 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

Rugosity coefficient - Rugosity coefficient depend upon the type of channel surface.
Self Cleansing Velocity - (Measured in Meter per Second) - Self Cleansing Velocity is the rate of change of displacement.
Hydraulic mean depth - (Measured in Meter) - The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width.
Constant - Constant which depend upon southern pine and other species.
Diameter of the grain - (Measured in Meter) - Diameter of the grain means the diameter of the particle of sediments.
Specific gravity of sediment - Specific gravity of sediment is the ratio of density of sediment to density of standard substance.

STEP 1: Convert Input(s) to Base Unit

Self Cleansing Velocity: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Hydraulic mean depth: 10 Meter --> 10 Meter No Conversion Required
Constant: 10 --> No Conversion Required
Diameter of the grain: 3 Meter --> 3 Meter No Conversion Required
Specific gravity of sediment: 1.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (1/V_s)*(m)^(1/6)*sqrt(x*d^'*(G-1)) --> (1/2)*(10)^(1/6)*sqrt(10*3*(1.3-1))

Evaluating ... ...

n = 2.2016989014331

STEP 3: Convert Result to Output's Unit

2.2016989014331 --> No Conversion Required

FINAL ANSWER

2.2016989014331 ≈ 2.201699 <-- Rugosity coefficient

(Calculation completed in 00.004 seconds)

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< 6 Minimum Velocity to be Generated in Sewers Calculators

Rugosity Coefficient given Self Cleansing Velocity

Go Rugosity coefficient = (1/Self Cleansing Velocity)*(Hydraulic mean depth)^(1/6)*sqrt(Constant*Diameter of the grain*(Specific gravity of sediment-1))

Friction Factor given Self Cleansing Velocity

Go Friction Factor = (8*Acceleration due to Gravity*Constant*Diameter of the grain*(Specific gravity of sediment-1))/(Self Cleansing Velocity)^2

Chezy's Constant given Self Cleansing Velocity

Go Chezy's constant = Self Cleansing Velocity/(sqrt(Constant*Diameter of the grain*(Specific gravity of sediment-1)))

Chezy's Constant given Friction Factor

Go Chezy's constant = sqrt(8*Acceleration due to Gravity/Friction Factor)

Unit Weight of Water given Hydraulic Mean Depth

Go Unit Weight of Liquid = Drag Force/(Hydraulic mean depth*Bed Slope)

Cross Sectional Area of Flow given Hydraulic Mean Radius of Channel

Go Cross-Sectional Area = (Hydraulic mean depth*Wetted Perimeter)

Rugosity Coefficient given Self Cleansing Velocity Formula

Rugosity coefficient = (1/Self Cleansing Velocity)*(Hydraulic mean depth)^(1/6)*sqrt(Constant*Diameter of the grain*(Specific gravity of sediment-1))
n = (1/V_s)*(m)^(1/6)*sqrt(x*d^'*(G-1))

What is self cleansing velocity ?

The criterion for self-cleansing was defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes. For a given sediment concentration the self-cleansing velocity was found to be a maximum at pipe slopes between about 30° and 37.5°.

How to Calculate Rugosity Coefficient given Self Cleansing Velocity?

Rugosity Coefficient given Self Cleansing Velocity calculator uses Rugosity coefficient = (1/Self Cleansing Velocity)*(Hydraulic mean depth)^(1/6)*sqrt(Constant*Diameter of the grain*(Specific gravity of sediment-1)) to calculate the Rugosity coefficient, The Rugosity Coefficient given Self Cleansing Velocity calculates the rugosity coefficient when we have prior information of other parameters. Rugosity coefficient is denoted by n symbol.

How to calculate Rugosity Coefficient given Self Cleansing Velocity using this online calculator? To use this online calculator for Rugosity Coefficient given Self Cleansing Velocity, enter Self Cleansing Velocity (V_s), Hydraulic mean depth (m), Constant (x), Diameter of the grain (d^') & Specific gravity of sediment (G) and hit the calculate button. Here is how the Rugosity Coefficient given Self Cleansing Velocity calculation can be explained with given input values -> 2.201699 = (1/2)*(10)^(1/6)*sqrt(10*3*(1.3-1)).

FAQ

What is Rugosity Coefficient given Self Cleansing Velocity?

The Rugosity Coefficient given Self Cleansing Velocity calculates the rugosity coefficient when we have prior information of other parameters and is represented as n = (1/V_s)*(m)^(1/6)*sqrt(x*d^'*(G-1)) or Rugosity coefficient = (1/Self Cleansing Velocity)*(Hydraulic mean depth)^(1/6)*sqrt(Constant*Diameter of the grain*(Specific gravity of sediment-1)). Self Cleansing Velocity is the rate of change of displacement, The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width, Constant which depend upon southern pine and other species, Diameter of the grain means the diameter of the particle of sediments & Specific gravity of sediment is the ratio of density of sediment to density of standard substance.

How to calculate Rugosity Coefficient given Self Cleansing Velocity?

The Rugosity Coefficient given Self Cleansing Velocity calculates the rugosity coefficient when we have prior information of other parameters is calculated using Rugosity coefficient = (1/Self Cleansing Velocity)*(Hydraulic mean depth)^(1/6)*sqrt(Constant*Diameter of the grain*(Specific gravity of sediment-1)). To calculate Rugosity Coefficient given Self Cleansing Velocity, you need Self Cleansing Velocity (V_s), Hydraulic mean depth (m), Constant (x), Diameter of the grain (d^') & Specific gravity of sediment (G). With our tool, you need to enter the respective value for Self Cleansing Velocity, Hydraulic mean depth, Constant, Diameter of the grain & Specific gravity of sediment 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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