Diameter of Pipe given Head loss by Manning Formula Calculator

✖Pipe Length describes the length of the pipe in which the liquid is flowing.ⓘ Pipe Length [Lp_']			+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%
✖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%
✖Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.ⓘ Head Loss [h_f]			+10% -10%

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

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Diameter of Pipe given Head loss by Manning Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss))^(3/4)
D_p = ((Lp_'*(n*v_f)^2)/(0.157*h_f))^(3/4)
This formula uses 5 Variables

Variables Used

Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Pipe Length - (Measured in Meter) - Pipe Length describes the length of the pipe in which the liquid is flowing.
Manning Coefficient - Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.
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.
Head Loss - (Measured in Meter) - Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

STEP 1: Convert Input(s) to Base Unit

Pipe Length: 4.9 Meter --> 4.9 Meter No Conversion Required
Manning Coefficient: 0.009 --> No Conversion Required
Flow Velocity: 11.96 Meter per Second --> 11.96 Meter per Second No Conversion Required
Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_p = ((Lp_'*(n*v_f)^2)/(0.157*h_f))^(3/4) --> ((4.9*(0.009*11.96)^2)/(0.157*1.2))^(3/4)

Evaluating ... ...

D_p = 0.406721302629952

STEP 3: Convert Result to Output's Unit

0.406721302629952 Meter --> No Conversion Required

FINAL ANSWER

0.406721302629952 ≈ 0.406721 Meter <-- Diameter of Pipe

(Calculation completed in 00.020 seconds)

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< Manning's Formula Calculators

Velocity of Flow in Pipe by Manning Formula

LaTeX 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

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

Manning's Coefficient given Velocity of Flow

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

Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula

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

Diameter of Pipe given Head loss by Manning Formula Formula

LaTeX Go

Diameter of Pipe = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss))^(3/4)
D_p = ((Lp_'*(n*v_f)^2)/(0.157*h_f))^(3/4)

What is Head Loss ?

Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system. Head loss is unavoidable in real fluids.

How to Calculate Diameter of Pipe given Head loss by Manning Formula?

Diameter of Pipe given Head loss by Manning Formula calculator uses Diameter of Pipe = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss))^(3/4) to calculate the Diameter of Pipe, The Diameter of Pipe given Head loss by Manning Formula is defined as the value of diameter of pipe when we have prior information of head loss. Diameter of Pipe is denoted by D_p symbol.

How to calculate Diameter of Pipe given Head loss by Manning Formula using this online calculator? To use this online calculator for Diameter of Pipe given Head loss by Manning Formula, enter Pipe Length (Lp_'), Manning Coefficient (n), Flow Velocity (v_f) & Head Loss (h_f) and hit the calculate button. Here is how the Diameter of Pipe given Head loss by Manning Formula calculation can be explained with given input values -> 0.406721 = ((4.9*(0.009*11.96)^2)/(0.157*1.2))^(3/4).

FAQ

What is Diameter of Pipe given Head loss by Manning Formula?

The Diameter of Pipe given Head loss by Manning Formula is defined as the value of diameter of pipe when we have prior information of head loss and is represented as D_p = ((Lp_'*(n*v_f)^2)/(0.157*h_f))^(3/4) or Diameter of Pipe = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss))^(3/4). Pipe Length describes the length of the pipe in which the liquid is flowing, Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows, 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 & Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

How to calculate Diameter of Pipe given Head loss by Manning Formula?

The Diameter of Pipe given Head loss by Manning Formula is defined as the value of diameter of pipe when we have prior information of head loss is calculated using Diameter of Pipe = ((Pipe Length*(Manning Coefficient*Flow Velocity)^2)/(0.157*Head Loss))^(3/4). To calculate Diameter of Pipe given Head loss by Manning Formula, you need Pipe Length (Lp_'), Manning Coefficient (n), Flow Velocity (v_f) & Head Loss (h_f). With our tool, you need to enter the respective value for Pipe Length, Manning Coefficient, Flow Velocity & Head Loss 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 Pipe Length, Manning Coefficient, Flow Velocity & Head Loss. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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