Velocity of Flow in Pipe given Head loss by Manning Formula Calculator

✖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 [D_p]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+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.ⓘ Velocity of Flow in Pipe given Head loss by Manning Formula [v_f]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Manning's Formula Formulas PDF PDF Image

Velocity of Flow in Pipe given Head loss by Manning Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flow Velocity = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning Coefficient^2))
v_f = sqrt((h_f*0.157*D_p^(4/3))/(L_p*n^2))
This formula uses 1 Functions, 5 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

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.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Length of Pipe - (Measured in Meter) - Length of Pipe 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.

STEP 1: Convert Input(s) to Base Unit

Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required
Diameter of Pipe: 0.4 Meter --> 0.4 Meter No Conversion Required
Length of Pipe: 2.5 Meter --> 2.5 Meter No Conversion Required
Manning Coefficient: 0.009 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_f = sqrt((h_f*0.157*D_p^(4/3))/(L_p*n^2)) --> sqrt((1.2*0.157*0.4^(4/3))/(2.5*0.009^2))

Evaluating ... ...

v_f = 16.55901869036

STEP 3: Convert Result to Output's Unit

16.55901869036 Meter per Second --> No Conversion Required

FINAL ANSWER

16.55901869036 ≈ 16.55902 Meter per Second <-- Flow Velocity

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Distribution of Water » Pipe Hydraulics » Manning's Formula » Velocity of Flow in Pipe given Head loss by Manning Formula

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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

Velocity of Flow in Pipe given Head loss by Manning Formula Formula

LaTeX Go

Flow Velocity = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning Coefficient^2))
v_f = sqrt((h_f*0.157*D_p^(4/3))/(L_p*n^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 Velocity of Flow in Pipe given Head loss by Manning Formula?

Velocity of Flow in Pipe given Head loss by Manning Formula calculator uses Flow Velocity = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning Coefficient^2)) to calculate the Flow Velocity, The Velocity of Flow in Pipe given Head loss by Manning Formula is defined as the value of velocity of flow in pipe calculated using Manning's formula, when we have prior information of head loss and other parameters used. Flow Velocity is denoted by v_f symbol.

How to calculate Velocity of Flow in Pipe given Head loss by Manning Formula using this online calculator? To use this online calculator for Velocity of Flow in Pipe given Head loss by Manning Formula, enter Head Loss (h_f), Diameter of Pipe (D_p), Length of Pipe (L_p) & Manning Coefficient (n) and hit the calculate button. Here is how the Velocity of Flow in Pipe given Head loss by Manning Formula calculation can be explained with given input values -> 16.55902 = sqrt((1.2*0.157*0.4^(4/3))/(2.5*0.009^2)).

FAQ

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

The Velocity of Flow in Pipe given Head loss by Manning Formula is defined as the value of velocity of flow in pipe calculated using Manning's formula, when we have prior information of head loss and other parameters used and is represented as v_f = sqrt((h_f*0.157*D_p^(4/3))/(L_p*n^2)) or Flow Velocity = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning Coefficient^2)). 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, Diameter of Pipe is the diameter of the pipe in which the liquid is flowing, Length of Pipe 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.

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

The Velocity of Flow in Pipe given Head loss by Manning Formula is defined as the value of velocity of flow in pipe calculated using Manning's formula, when we have prior information of head loss and other parameters used is calculated using Flow Velocity = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning Coefficient^2)). To calculate Velocity of Flow in Pipe given Head loss by Manning Formula, you need Head Loss (h_f), Diameter of Pipe (D_p), Length of Pipe (L_p) & Manning Coefficient (n). With our tool, you need to enter the respective value for Head Loss, Diameter of Pipe, Length of Pipe & Manning Coefficient 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 Flow Velocity?

In this formula, Flow Velocity uses Head Loss, Diameter of Pipe, Length of Pipe & Manning Coefficient. We can use 3 other way(s) to calculate the same, which is/are as follows -

Flow Velocity = (1/Manning Coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2))
Flow Velocity = (0.397/Manning Coefficient)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))
Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Pipe Length*Manning Coefficient^2))

Home

FREE PDFs

🔍 Search