Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula Calculator

✖Flow Velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.ⓘ Flow Velocity [v_f]			+10% -10%
✖Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.ⓘ Manning Coefficient [n]			+10% -10%
✖Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.ⓘ Hydraulic Gradient [S]			+10% -10%

✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula [D_p]

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Formula

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Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula

Formula

`"D"_{"p"} = (("v"_{"f"}*"n")/(0.397*("S"^(1/2))))^(3/2)`

Example

`"0.399319m"=(("11.96m/s"*"0.009")/(0.397*(("0.25")^(1/2))))^(3/2)`

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Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = ((Flow Velocity*Manning Coefficient)/(0.397*(Hydraulic Gradient^(1/2))))^(3/2)
D_p = ((v_f*n)/(0.397*(S^(1/2))))^(3/2)
This formula uses 4 Variables

Variables Used

Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Flow Velocity - (Measured in Meter per Second) - Flow Velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.
Manning Coefficient - Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.
Hydraulic Gradient - Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.

STEP 1: Convert Input(s) to Base Unit

Flow Velocity: 11.96 Meter per Second --> 11.96 Meter per Second No Conversion Required
Manning Coefficient: 0.009 --> No Conversion Required
Hydraulic Gradient: 0.25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_p = ((v_f*n)/(0.397*(S^(1/2))))^(3/2) --> ((11.96*0.009)/(0.397*(0.25^(1/2))))^(3/2)

Evaluating ... ...

D_p = 0.399318808874582

STEP 3: Convert Result to Output's Unit

0.399318808874582 Meter --> No Conversion Required

FINAL ANSWER

0.399318808874582 ≈ 0.399319 Meter <-- Diameter of Pipe

(Calculation completed in 00.004 seconds)

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< 18 Manning's Formula Calculators

Velocity of Flow in Pipe given Head loss by Manning Formula

Go Flow Velocity = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning Coefficient^2))

Manning's Coefficient given Head loss by Manning Formula

Go Manning Coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Pipe Length*Flow Velocity^2))

Velocity of Flow in Pipe by Manning Formula given Radius of Pipe

Go Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Manning Coefficient^2))

Manning's Coefficient by Manning Formula given Radius of Pipe

Go Manning Coefficient = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Flow Velocity^2))

Radius of Pipe given Head loss by Manning Formula

Go Pipe Radius = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4)

Diameter of Pipe given Head loss by Manning Formula

Go Diameter of Pipe = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss))^(3/4)

Head loss by Manning Formula

Go Head Loss = (Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*(Diameter of Pipe)^(4/3))

Head loss by Manning Formula given Radius of Pipe

Go Head Loss = (Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*(2*Pipe Radius)^(4/3))

Length of Pipe given Head loss by Manning Formula

Go Pipe Length = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning Coefficient*Flow Velocity)^2

Length of Pipe by Manning Formula given Radius of Pipe

Go Pipe Length = (Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Manning Coefficient*Flow Velocity)^2

Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula

Go Diameter of Pipe = ((Flow Velocity*Manning Coefficient)/(0.397*(Hydraulic Gradient^(1/2))))^(3/2)

Velocity of Flow in Pipe by Manning Formula given Diameter

Go Flow Velocity = (0.397/Manning Coefficient)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))

Manning's Coefficient given Diameter of Pipe

Go Manning Coefficient = (0.397/Flow Velocity)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))

Hydraulic Gradient by Manning Formula given Diameter

Go Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2

Velocity of Flow in Pipe by Manning Formula

Go Flow Velocity = (1/Manning Coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2))

Radius of Pipe given Velocity of Flow in Pipe by Manning Formula

Go Hydraulic Radius = ((Flow Velocity*Manning Coefficient)/(Hydraulic Gradient^(1/2)))^(3/2)

Manning's Coefficient given Velocity of Flow

Go Manning Coefficient = ((Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)))/Flow Velocity

Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula

Go Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2

Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula Formula

Diameter of Pipe = ((Flow Velocity*Manning Coefficient)/(0.397*(Hydraulic Gradient^(1/2))))^(3/2)
D_p = ((v_f*n)/(0.397*(S^(1/2))))^(3/2)

What is Flow Velocity ?

Flow velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.

How to Calculate Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula?

Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula calculator uses Diameter of Pipe = ((Flow Velocity*Manning Coefficient)/(0.397*(Hydraulic Gradient^(1/2))))^(3/2) to calculate the Diameter of Pipe, The Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula is defined as the value of diameter of pipe when we have prior information of velocity of flow in pipe. Diameter of Pipe is denoted by D_p symbol.

How to calculate Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula using this online calculator? To use this online calculator for Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula, enter Flow Velocity (v_f), Manning Coefficient (n) & Hydraulic Gradient (S) and hit the calculate button. Here is how the Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula calculation can be explained with given input values -> 0.399319 = ((11.96*0.009)/(0.397*(0.25^(1/2))))^(3/2).

FAQ

What is Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula?

The Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula is defined as the value of diameter of pipe when we have prior information of velocity of flow in pipe and is represented as D_p = ((v_f*n)/(0.397*(S^(1/2))))^(3/2) or Diameter of Pipe = ((Flow Velocity*Manning Coefficient)/(0.397*(Hydraulic Gradient^(1/2))))^(3/2). Flow Velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time, Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows & Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.

How to calculate Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula?

The Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula is defined as the value of diameter of pipe when we have prior information of velocity of flow in pipe is calculated using Diameter of Pipe = ((Flow Velocity*Manning Coefficient)/(0.397*(Hydraulic Gradient^(1/2))))^(3/2). To calculate Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula, you need Flow Velocity (v_f), Manning Coefficient (n) & Hydraulic Gradient (S). With our tool, you need to enter the respective value for Flow Velocity, Manning Coefficient & Hydraulic Gradient 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 Diameter of Pipe?

In this formula, Diameter of Pipe uses Flow Velocity, Manning Coefficient & Hydraulic Gradient. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Pipe = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss))^(3/4)

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