Normal Depth of Flow given Head on Entrance measured from Bottom using Mannings formula 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%
✖Entrance Loss Coefficient is defined as the amount of head lost at entrance.ⓘ Entrance Loss Coefficient [K_e]			+10% -10%
✖Bed Slope of Channel is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope of Channel [S]			+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%
✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Roughness Coefficient [n]			+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 given Head on Entrance measured from Bottom using Mannings formula [h]

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

STEP 0: Pre-Calculation Summary

Formula Used

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]))
h = H_in-(K_e+1)*((2.2*S*r_h^(4/3)/((n*n)))/(2*[g]))
This formula uses 1 Constants, 6 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.
Bed Slope of Channel - Bed Slope of Channel is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
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.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

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
Bed Slope of Channel: 0.0127 --> No Conversion Required
Hydraulic Radius of Channel: 0.609 Meter --> 0.609 Meter No Conversion Required
Manning’s Roughness Coefficient: 0.012 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = H_in-(K_e+1)*((2.2*S*r_h^(4/3)/((n*n)))/(2*[g])) --> 10.647-(0.85+1)*((2.2*0.0127*0.609^(4/3)/((0.012*0.012)))/(2*[g]))

Evaluating ... ...

h = 1.19969310321515

STEP 3: Convert Result to Output's Unit

1.19969310321515 Meter --> No Conversion Required

FINAL ANSWER

1.19969310321515 ≈ 1.199693 Meter <-- Normal Depth of Flow

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Culverts » Culverts on Subcritical Slopes » Normal Depth of Flow given Head on Entrance measured from Bottom using Mannings formula

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National Institute of Technology Karnataka (NITK), Surathkal

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< Culverts on Subcritical Slopes Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

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

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

LaTeX Go

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 using Mannings formula?

Normal Depth of Flow given Head on Entrance measured from Bottom using Mannings formula calculator uses 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])) to calculate the Normal Depth of Flow, Normal Depth of Flow given Head on Entrance measured from Bottom using Mannings formula 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 using Mannings formula using this online calculator? To use this online calculator for Normal Depth of Flow given Head on Entrance measured from Bottom using Mannings formula, enter Total Head at Entrance of Flow (H_in), Entrance Loss Coefficient (K_e), Bed Slope of Channel (S), Hydraulic Radius of Channel (r_h) & Manning’s Roughness Coefficient (n) and hit the calculate button. Here is how the Normal Depth of Flow given Head on Entrance measured from Bottom using Mannings formula calculation can be explained with given input values -> 1.199693 = 10.647-(0.85+1)*((2.2*0.0127*0.609^(4/3)/((0.012*0.012)))/(2*[g])).

FAQ

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

Normal Depth of Flow given Head on Entrance measured from Bottom using Mannings formula is defined as depth at particular constant and is represented as h = H_in-(K_e+1)*((2.2*S*r_h^(4/3)/((n*n)))/(2*[g])) or 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])). 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, Bed Slope of Channel is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow, 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 & Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

How to calculate Normal Depth of Flow given Head on Entrance measured from Bottom using Mannings formula?

Normal Depth of Flow given Head on Entrance measured from Bottom using Mannings formula is defined as depth at particular constant is calculated using 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])). To calculate Normal Depth of Flow given Head on Entrance measured from Bottom using Mannings formula, you need Total Head at Entrance of Flow (H_in), Entrance Loss Coefficient (K_e), Bed Slope of Channel (S), Hydraulic Radius of Channel (r_h) & Manning’s Roughness Coefficient (n). With our tool, you need to enter the respective value for Total Head at Entrance of Flow, Entrance Loss Coefficient, Bed Slope of Channel, Hydraulic Radius of Channel & Manning’s Roughness 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 Normal Depth of Flow?

In this formula, Normal Depth of Flow uses Total Head at Entrance of Flow, Entrance Loss Coefficient, Bed Slope of Channel, Hydraulic Radius of Channel & Manning’s Roughness Coefficient. 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)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))

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