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

STEP 0: Pre-Calculation Summary
Formula Used
Normal Depth of Flow = Total Head at Entrance of Flow-(Entrance Loss Coefficient+1)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))
h = Hin-(Ke+1)*(vm*vm/(2*[g]))
This formula uses 1 Constants, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Total Head at Entrance of Flow: 10.647 Meter --> 10.647 Meter No Conversion Required
Entrance Loss Coefficient: 0.85 --> No Conversion Required
Mean Velocity of Culverts: 10 Meter per Second --> 10 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = Hin-(Ke+1)*(vm*vm/(2*[g])) --> 10.647-(0.85+1)*(10*10/(2*[g]))
Evaluating ... ...
h = 1.21462502995416
STEP 3: Convert Result to Output's Unit
1.21462502995416 Meter --> No Conversion Required
FINAL ANSWER
1.21462502995416 1.214625 Meter <-- Normal Depth of Flow
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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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

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

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

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

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

How to calculate Normal Depth of Flow given Head on Entrance measured from Bottom of Culvert using this online calculator? To use this online calculator for Normal Depth of Flow given Head on Entrance measured from Bottom of Culvert, enter Total Head at Entrance of Flow (Hin), Entrance Loss Coefficient (Ke) & Mean Velocity of Culverts (vm) and hit the calculate button. Here is how the Normal Depth of Flow given Head on Entrance measured from Bottom of Culvert calculation can be explained with given input values -> 1.214625 = 10.647-(0.85+1)*(10*10/(2*[g])).

FAQ

What is Normal Depth of Flow given Head on Entrance measured from Bottom of Culvert?
Normal Depth of Flow given Head on Entrance measured from Bottom of Culvert is defined as depth at particular constant and is represented as h = Hin-(Ke+1)*(vm*vm/(2*[g])) or Normal Depth of Flow = Total Head at Entrance of Flow-(Entrance Loss Coefficient+1)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])). Total Head at Entrance of Flow is the measure of fluid's potential at the entrance, 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.
How to calculate Normal Depth of Flow given Head on Entrance measured from Bottom of Culvert?
Normal Depth of Flow given Head on Entrance measured from Bottom of Culvert is defined as depth at particular constant is calculated using Normal Depth of Flow = Total Head at Entrance of Flow-(Entrance Loss Coefficient+1)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])). To calculate Normal Depth of Flow given Head on Entrance measured from Bottom of Culvert, you need Total Head at Entrance of Flow (Hin), Entrance Loss Coefficient (Ke) & Mean Velocity of Culverts (vm). With our tool, you need to enter the respective value for Total Head at Entrance of Flow, Entrance Loss Coefficient & Mean Velocity of Culverts 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 Normal Depth of Flow?
In this formula, Normal Depth of Flow uses Total Head at Entrance of Flow, Entrance Loss Coefficient & Mean Velocity of Culverts. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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]))
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