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Entrance Loss Coefficient given Head on Entrance using Mannings formula Formula

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

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Entrance Loss Coefficient is defined as the amount of head lost at entrance. Check FAQs

K e = (\frac{H in - h}{\frac{2.2 \cdot S \cdot \frac{{r h}^{\frac{4}{3}}}{(n \cdot n)}}{2 \cdot [g]}}) - 1

K_e - Entrance Loss Coefficient?H_in - Total Head at Entrance of Flow?h - Normal Depth of Flow?S - Bed Slope of Channel?r_h - Hydraulic Radius of Channel?n - Manning’s Roughness Coefficient?[g] - Gravitational acceleration on Earth?

Entrance Loss Coefficient given Head on Entrance using Mannings formula Example

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Here is how the Entrance Loss Coefficient given Head on Entrance using Mannings formula equation looks like with Values.

Here is how the Entrance Loss Coefficient given Head on Entrance using Mannings formula equation looks like with Units.

Here is how the Entrance Loss Coefficient given Head on Entrance using Mannings formula equation looks like.

0.8499 = (\frac{10.647 - 1.2}{\frac{2.2 \cdot 0.0127 \cdot \frac{{0.609}^{\frac{4}{3}}}{(0.012 \cdot 0.012)}}{2 \cdot 9.8066}}) - 1

0.8499 = (\frac{10.647m - 1.2m}{\frac{2.2 \cdot 0.0127 \cdot \frac{{0.609m}^{\frac{4}{3}}}{(0.012 \cdot 0.012)}}{2 \cdot 9.8066m/s²}}) - 1

0.8499 = (\frac{10.647 - 1.2}{\frac{2.2 \cdot 0.0127 \cdot \frac{{0.609}^{\frac{4}{3}}}{(0.012 \cdot 0.012)}}{2 \cdot 9.8066}}) - 1

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Entrance Loss Coefficient given Head on Entrance using Mannings formula Solution

Follow our step by step solution on how to calculate Entrance Loss Coefficient given Head on Entrance using Mannings formula?

FIRST Step Consider the formula

K e = (\frac{H in - h}{\frac{2.2 \cdot S \cdot \frac{{r h}^{\frac{4}{3}}}{(n \cdot n)}}{2 \cdot [g]}}) - 1

Next Step Substitute values of Variables

∴

K e = (\frac{10.647m - 1.2m}{\frac{2.2 \cdot 0.0127 \cdot \frac{{0.609m}^{\frac{4}{3}}}{(0.012 \cdot 0.012)}}{2 \cdot [g]}}) - 1

Next Step Substitute values of Constants

∴

K e = (\frac{10.647m - 1.2m}{\frac{2.2 \cdot 0.0127 \cdot \frac{{0.609m}^{\frac{4}{3}}}{(0.012 \cdot 0.012)}}{2 \cdot 9.8066m/s²}}) - 1

Next Step Prepare to Evaluate

∴

K e = (\frac{10.647 - 1.2}{\frac{2.2 \cdot 0.0127 \cdot \frac{{0.609}^{\frac{4}{3}}}{(0.012 \cdot 0.012)}}{2 \cdot 9.8066}}) - 1

Next Step Evaluate

∴

K e = 0.849939902550201

LAST Step Rounding Answer

∴

K e = 0.8499

Entrance Loss Coefficient given Head on Entrance using Mannings formula Formula Elements

Variables

Constants

Entrance Loss Coefficient

Entrance Loss Coefficient is defined as the amount of head lost at entrance.

Symbol: K_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Entrance Loss Coefficient

Total Head at Entrance of Flow

Total Head at Entrance of Flow is the measure of fluid's potential at the entrance.

Symbol: H_in

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Head at Entrance of Flow

Normal Depth of Flow

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.

Symbol: h

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Normal Depth of Flow

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.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Bed Slope of Channel

Hydraulic Radius of Channel

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.

Symbol: r_h

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Hydraulic Radius of Channel

Manning’s Roughness Coefficient

Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Manning’s Roughness Coefficient

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Entrance Loss Coefficient

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

K e = (\frac{H in - h}{v m \cdot \frac{v m}{2 \cdot [g]}}) - 1

Other formulas in Culverts on Subcritical Slopes category

Go Head on Entrance measured from Bottom of Culvert

H in = (K e + 1) \cdot (v m \cdot \frac{v m}{2 \cdot [g]}) + h

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

h = H in - (K e + 1) \cdot (v m \cdot \frac{v m}{2 \cdot [g]})

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

v m = \sqrt{(H in - h) \cdot \frac{2 \cdot [g]}{K e + 1}}

Go Velocity of Flow through Mannings Formulas in Culverts

v m = \sqrt{2.2 \cdot S \cdot \frac{{r h}^{\frac{4}{3}}}{n \cdot n}}

How to Evaluate Entrance Loss Coefficient given Head on Entrance using Mannings formula?

Entrance Loss Coefficient given Head on Entrance using Mannings formula evaluator uses 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 to evaluate the Entrance Loss Coefficient, Entrance Loss Coefficient given Head on Entrance using Mannings formula formula is defined as constant or factor for loss. Entrance Loss Coefficient is denoted by K_e symbol.

How to evaluate Entrance Loss Coefficient given Head on Entrance using Mannings formula using this online evaluator? To use this online evaluator for Entrance Loss Coefficient given Head on Entrance using Mannings formula, enter Total Head at Entrance of Flow (H_in), Normal Depth of Flow (h), Bed Slope of Channel (S), Hydraulic Radius of Channel (r_h) & Manning’s Roughness Coefficient (n) and hit the calculate button.

FAQs on Entrance Loss Coefficient given Head on Entrance using Mannings formula

What is the formula to find Entrance Loss Coefficient given Head on Entrance using Mannings formula?

The formula of Entrance Loss Coefficient given Head on Entrance using Mannings formula is expressed as 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. Here is an example- 0.84994 = ((10.647-1.2)/((2.2*0.0127*0.609^(4/3)/((0.012*0.012)))/(2*[g])))-1.

How to calculate Entrance Loss Coefficient given Head on Entrance using Mannings formula?

With Total Head at Entrance of Flow (H_in), Normal Depth of Flow (h), Bed Slope of Channel (S), Hydraulic Radius of Channel (r_h) & Manning’s Roughness Coefficient (n) we can find Entrance Loss Coefficient given Head on Entrance using Mannings formula using the formula - 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. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Entrance Loss Coefficient?

Here are the different ways to Calculate Entrance Loss Coefficient-

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

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Entrance Loss Coefficient given Head on Entrance using Mannings formula Formula

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

Entrance Loss Coefficient given Head on Entrance using Mannings formula Example

Entrance Loss Coefficient given Head on Entrance using Mannings formula Solution

Entrance Loss Coefficient given Head on Entrance using Mannings formula Formula Elements

Other Formulas to find Entrance Loss Coefficient

Other formulas in Culverts on Subcritical Slopes category

How to Evaluate Entrance Loss Coefficient given Head on Entrance using Mannings formula?

FAQs on Entrance Loss Coefficient given Head on Entrance using Mannings formula

Variable Name

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