Velocity of Flow given Head on Entrance measured from Bottom of Culvert Calculator

✖Total Head at Entrance of Flow is the measure of fluid's potential at the entrance.ⓘ Total Head at Entrance of Flow [H_in]			+10% -10%
✖Normal Depth of Flow is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.ⓘ Normal Depth of Flow [h]			+10% -10%
✖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.ⓘ Velocity of Flow given Head on Entrance measured from Bottom of Culvert [v_m]

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Formula

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Velocity of Flow given Head on Entrance measured from Bottom of Culvert

Formula

`"v"_{"m"} = sqrt(("H"_{"in"}-"h")*(2*"[g]")/("K"_{"e"}+1))`

Example

`"10.00775m/s"=sqrt(("10.647m"-"1.2m")*(2*"[g]")/("0.85"+1))`

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Velocity of Flow given Head on Entrance measured from Bottom of Culvert Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Velocity of Culverts = sqrt((Total Head at Entrance of Flow-Normal Depth of Flow)*(2*[g])/(Entrance Loss Coefficient+1))
v_m = sqrt((H_in-h)*(2*[g])/(K_e+1))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

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

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

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.
Total Head at Entrance of Flow - (Measured in Meter) - Total Head at Entrance of Flow is the measure of fluid's potential at the entrance.
Normal Depth of Flow - (Measured in Meter) - Normal Depth of Flow is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.
Entrance Loss Coefficient - Entrance Loss Coefficient is defined as the amount of head lost at entrance.

STEP 1: Convert Input(s) to Base Unit

Total Head at Entrance of Flow: 10.647 Meter --> 10.647 Meter No Conversion Required
Normal Depth of Flow: 1.2 Meter --> 1.2 Meter No Conversion Required
Entrance Loss Coefficient: 0.85 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_m = sqrt((H_in-h)*(2*[g])/(K_e+1)) --> sqrt((10.647-1.2)*(2*[g])/(0.85+1))

Evaluating ... ...

v_m = 10.0077495674805

STEP 3: Convert Result to Output's Unit

10.0077495674805 Meter per Second --> No Conversion Required

FINAL ANSWER

10.0077495674805 ≈ 10.00775 Meter per Second <-- Mean Velocity of Culverts

(Calculation completed in 00.010 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Culverts » Culverts on Subcritical Slopes » Velocity of Flow given Head on Entrance measured from Bottom of Culvert

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< 11 Culverts on Subcritical Slopes Calculators

Entrance Loss Coefficient given Head on Entrance using Mannings formula

Go Entrance Loss Coefficient = ((Total Head at Entrance of Flow-Normal Depth of Flow)/((2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/((Manning’s Roughness Coefficient*Manning’s Roughness Coefficient)))/(2*[g])))-1

Normal Depth of Flow given Head on Entrance measured from Bottom using Mannings formula

Go Normal Depth of Flow = Total Head at Entrance of Flow-(Entrance Loss Coefficient+1)*((2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/((Manning’s Roughness Coefficient*Manning’s Roughness Coefficient)))/(2*[g]))

Head on Entrance measured from Bottom of Culvert using Mannings formula

Go Total Head at Entrance of Flow = (Entrance Loss Coefficient+1)*((2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient))/(2*[g]))+Normal Depth of Flow

Bed Slope using Mannings Equation

Go Bed Slope of Channel = (Mean Velocity of Culverts/sqrt(2.2*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient)))^(2)

Manning's Formula for Hydraulic Radius given Velocity of Flow in Culverts

Go Hydraulic Radius of Channel = (Mean Velocity of Culverts/sqrt(2.2*Bed Slope of Channel/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient)))^(2/3)

Velocity of Flow through Mannings Formulas in Culverts

Go Mean Velocity of Culverts = sqrt(2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient))

Entrance Loss Coefficient using formula for Head on Entrance measured from Bottom of Culvert

Go Entrance Loss Coefficient = ((Total Head at Entrance of Flow-Normal Depth of Flow)/(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))-1

Normal Depth of Flow given Head on Entrance measured from Bottom of Culvert

Go Normal Depth of Flow = Total Head at Entrance of Flow-(Entrance Loss Coefficient+1)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))

Head on Entrance measured from Bottom of Culvert

Go Total Head at Entrance of Flow = (Entrance Loss Coefficient+1)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))+Normal Depth of Flow

Velocity of Flow given Head on Entrance measured from Bottom of Culvert

Go Mean Velocity of Culverts = sqrt((Total Head at Entrance of Flow-Normal Depth of Flow)*(2*[g])/(Entrance Loss Coefficient+1))

Manning's Formula for Roughness Coefficient given Velocity of Flow in Culverts

Go Manning’s Roughness Coefficient = sqrt(2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3))/Mean Velocity of Culverts

Velocity of Flow given Head on Entrance measured from Bottom of Culvert Formula

Mean Velocity of Culverts = sqrt((Total Head at Entrance of Flow-Normal Depth of Flow)*(2*[g])/(Entrance Loss Coefficient+1))
v_m = sqrt((H_in-h)*(2*[g])/(K_e+1))

What is Normal Depth?

Normal depth is the depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant. Normal depth occurs when gravitational force of the water is equal to the friction drag along the culvert and there is no acceleration of flow.

How to Calculate Velocity of Flow given Head on Entrance measured from Bottom of Culvert?

Velocity of Flow given Head on Entrance measured from Bottom of Culvert calculator uses Mean Velocity of Culverts = sqrt((Total Head at Entrance of Flow-Normal Depth of Flow)*(2*[g])/(Entrance Loss Coefficient+1)) to calculate the Mean Velocity of Culverts, Velocity of Flow given Head on Entrance measured from Bottom of Culvert is defined as flow rate of channel. Mean Velocity of Culverts is denoted by v_m symbol.

How to calculate Velocity of Flow given Head on Entrance measured from Bottom of Culvert using this online calculator? To use this online calculator for Velocity of Flow given Head on Entrance measured from Bottom of Culvert, enter Total Head at Entrance of Flow (H_in), Normal Depth of Flow (h) & Entrance Loss Coefficient (K_e) and hit the calculate button. Here is how the Velocity of Flow given Head on Entrance measured from Bottom of Culvert calculation can be explained with given input values -> 10.00775 = sqrt((10.647-1.2)*(2*[g])/(0.85+1)).

FAQ

What is Velocity of Flow given Head on Entrance measured from Bottom of Culvert?

Velocity of Flow given Head on Entrance measured from Bottom of Culvert is defined as flow rate of channel and is represented as v_m = sqrt((H_in-h)*(2*[g])/(K_e+1)) or Mean Velocity of Culverts = sqrt((Total Head at Entrance of Flow-Normal Depth of Flow)*(2*[g])/(Entrance Loss Coefficient+1)). Total Head at Entrance of Flow is the measure of fluid's potential at the entrance, Normal Depth of Flow is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant & Entrance Loss Coefficient is defined as the amount of head lost at entrance.

How to calculate Velocity of Flow given Head on Entrance measured from Bottom of Culvert?

Velocity of Flow given Head on Entrance measured from Bottom of Culvert is defined as flow rate of channel is calculated using Mean Velocity of Culverts = sqrt((Total Head at Entrance of Flow-Normal Depth of Flow)*(2*[g])/(Entrance Loss Coefficient+1)). To calculate Velocity of Flow given Head on Entrance measured from Bottom of Culvert, you need Total Head at Entrance of Flow (H_in), Normal Depth of Flow (h) & Entrance Loss Coefficient (K_e). With our tool, you need to enter the respective value for Total Head at Entrance of Flow, Normal Depth of Flow & Entrance Loss 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 Mean Velocity of Culverts?

In this formula, Mean Velocity of Culverts uses Total Head at Entrance of Flow, Normal Depth of Flow & Entrance Loss Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mean Velocity of Culverts = sqrt(2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient))

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