Head on Entrance measured from Bottom of Culvert 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%
✖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%

✖Total Head at Entrance of Flow is the measure of fluid's potential at the entrance.ⓘ Head on Entrance measured from Bottom of Culvert [H_in]

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Formula

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Head on Entrance measured from Bottom of Culvert

Formula

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

Example

`"10.63237m"=("0.85"+1)*("10m/s"*"10m/s"/(2*"[g]"))+"1.2m"`

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Head on Entrance measured from Bottom of Culvert Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
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.
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.

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
Normal Depth of Flow: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_in = (K_e+1)*(v_m*v_m/(2*[g]))+h --> (0.85+1)*(10*10/(2*[g]))+1.2

Evaluating ... ...

H_in = 10.6323749700458

STEP 3: Convert Result to Output's Unit

10.6323749700458 Meter --> No Conversion Required

FINAL ANSWER

10.6323749700458 ≈ 10.63237 Meter <-- Total Head at Entrance of Flow

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Culverts » Culverts on Subcritical Slopes » 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

Head on Entrance measured from Bottom of Culvert Formula

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

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.

what is the Head on Entrance?

The Head on Entrance measured from Bottom of Culvert is defined as the amount of potential energy at the entrance of the culvert.

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

Head on Entrance measured from Bottom of Culvert calculator uses Total Head at Entrance of Flow = (Entrance Loss Coefficient+1)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))+Normal Depth of Flow to calculate the Total Head at Entrance of Flow, The Head on Entrance measured from Bottom of Culvert is defined as amount of potential energy at the entrance of culverts. Total Head at Entrance of Flow is denoted by H_in symbol.

How to calculate Head on Entrance measured from Bottom of Culvert using this online calculator? To use this online calculator for Head on Entrance measured from Bottom of Culvert, enter Entrance Loss Coefficient (K_e), Mean Velocity of Culverts (v_m) & Normal Depth of Flow (h) and hit the calculate button. Here is how the Head on Entrance measured from Bottom of Culvert calculation can be explained with given input values -> 10.63237 = (0.85+1)*(10*10/(2*[g]))+1.2.

FAQ

What is Head on Entrance measured from Bottom of Culvert?

The Head on Entrance measured from Bottom of Culvert is defined as amount of potential energy at the entrance of culverts and is represented as H_in = (K_e+1)*(v_m*v_m/(2*[g]))+h or Total Head at Entrance of Flow = (Entrance Loss Coefficient+1)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))+Normal Depth of Flow. 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 & 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.

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

The Head on Entrance measured from Bottom of Culvert is defined as amount of potential energy at the entrance of culverts is calculated using Total Head at Entrance of Flow = (Entrance Loss Coefficient+1)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))+Normal Depth of Flow. To calculate Head on Entrance measured from Bottom of Culvert, you need Entrance Loss Coefficient (K_e), Mean Velocity of Culverts (v_m) & Normal Depth of Flow (h). With our tool, you need to enter the respective value for Entrance Loss Coefficient, Mean Velocity of Culverts & Normal Depth of Flow 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 Total Head at Entrance of Flow?

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

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

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