Head Loss in Flow Calculator

✖Entrance Loss Coefficient is defined as the amount of head lost at entrance.ⓘ Entrance Loss Coefficient [K_e]			+10% -10%
✖Mean Velocity of Culverts is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity of Culverts [v_m]			+10% -10%
✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Roughness Coefficient [n]			+10% -10%
✖Length of Culverts is the measurement or extent of culverts from end to end.ⓘ Length of Culverts [l]			+10% -10%
✖Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ Hydraulic Radius of Channel [r_h]			+10% -10%

✖Head Loss of Friction 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 in Flow [H_f]

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Formula

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Head Loss in Flow

Formula

`"H"_{"f"} = (1-"K"_{"e"})*("v"_{"m"}*"v"_{"m"}/(2*"[g]"))+((("v"_{"m"}*"n")^2)*"l")/(2.21*"r"_{"h"}^1.33333)`

Example

`"0.802655m"=(1-"0.85")*("10m/s"*"10m/s"/(2*"[g]"))+((("10m/s"*"0.012")^2)*"3m")/(2.21*("0.609m")^1.33333)`

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Head Loss in Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head Loss of Friction = (1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))+(((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333)
H_f = (1-K_e)*(v_m*v_m/(2*[g]))+(((v_m*n)^2)*l)/(2.21*r_h^1.33333)
This formula uses 1 Constants, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Head Loss of Friction - (Measured in Meter) - Head Loss of Friction 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.
Entrance Loss Coefficient - Entrance Loss Coefficient is defined as the amount of head lost at entrance.
Mean Velocity of Culverts - (Measured in Meter per Second) - Mean Velocity of Culverts is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
Length of Culverts - (Measured in Meter) - Length of Culverts is the measurement or extent of culverts from end to end.
Hydraulic Radius of Channel - (Measured in Meter) - Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.

STEP 1: Convert Input(s) to Base Unit

Entrance Loss Coefficient: 0.85 --> No Conversion Required
Mean Velocity of Culverts: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Manning’s Roughness Coefficient: 0.012 --> No Conversion Required
Length of Culverts: 3 Meter --> 3 Meter No Conversion Required
Hydraulic Radius of Channel: 0.609 Meter --> 0.609 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_f = (1-K_e)*(v_m*v_m/(2*[g]))+(((v_m*n)^2)*l)/(2.21*r_h^1.33333) --> (1-0.85)*(10*10/(2*[g]))+(((10*0.012)^2)*3)/(2.21*0.609^1.33333)

Evaluating ... ...

H_f = 0.80265475252942

STEP 3: Convert Result to Output's Unit

0.80265475252942 Meter --> No Conversion Required

FINAL ANSWER

0.80265475252942 ≈ 0.802655 Meter <-- Head Loss of Friction

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Culverts » Entrance and Exit Submerged » Head Loss in Flow

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 5 Entrance and Exit Submerged Calculators

Length of Culvert given Velocity of Flow Fields

Go Length of Culverts = (Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))/((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2))/(2.21*Hydraulic Radius of Channel^1.33333))

Entrance Loss Coefficient given Velocity of Flow Fields

Go Entrance Loss Coefficient = 1-((Head Loss of Friction-(((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333))/(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))

Hydraulic Radius of Culvert given Velocity of Flow Fields

Go Hydraulic Radius of Channel = ((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*(Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))))^0.75

Head Loss in Flow

Go Head Loss of Friction = (1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))+(((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333)

Velocity of Flow Fields

Go Mean Velocity of Culverts = sqrt(Head Loss of Friction/((1-Entrance Loss Coefficient)/((2*[g]))+(((Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333)))

Head Loss in Flow Formula

What are Culverts?

A culvert is a structure that allows water to flow under a road, railroad, trail, or similar obstruction from one side to the other. Typically embedded so as to be surrounded by soil, a culvert may be made from a pipe, reinforced concrete or other material.

How to Calculate Head Loss in Flow?

Head Loss in Flow calculator uses Head Loss of Friction = (1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))+(((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333) to calculate the Head Loss of Friction, The Head Loss in Flow is defined as amount of energy lost between head water than tail water in flow. Head Loss of Friction is denoted by H_f symbol.

How to calculate Head Loss in Flow using this online calculator? To use this online calculator for Head Loss in Flow, enter Entrance Loss Coefficient (K_e), Mean Velocity of Culverts (v_m), Manning’s Roughness Coefficient (n), Length of Culverts (l) & Hydraulic Radius of Channel (r_h) and hit the calculate button. Here is how the Head Loss in Flow calculation can be explained with given input values -> 0.802655 = (1-0.85)*(10*10/(2*[g]))+(((10*0.012)^2)*3)/(2.21*0.609^1.33333).

FAQ

What is Head Loss in Flow?

The Head Loss in Flow is defined as amount of energy lost between head water than tail water in flow and is represented as H_f = (1-K_e)*(v_m*v_m/(2*[g]))+(((v_m*n)^2)*l)/(2.21*r_h^1.33333) or Head Loss of Friction = (1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))+(((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333). Entrance Loss Coefficient is defined as the amount of head lost at entrance, Mean Velocity of Culverts is defined as the average velocity of a fluid at a point and over an arbitrary time T, Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel, Length of Culverts is the measurement or extent of culverts from end to end & Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.

How to calculate Head Loss in Flow?

The Head Loss in Flow is defined as amount of energy lost between head water than tail water in flow is calculated using Head Loss of Friction = (1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))+(((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333). To calculate Head Loss in Flow, you need Entrance Loss Coefficient (K_e), Mean Velocity of Culverts (v_m), Manning’s Roughness Coefficient (n), Length of Culverts (l) & Hydraulic Radius of Channel (r_h). With our tool, you need to enter the respective value for Entrance Loss Coefficient, Mean Velocity of Culverts, Manning’s Roughness Coefficient, Length of Culverts & Hydraulic Radius of Channel 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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