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Entrance Loss Coefficient given Velocity of Flow Fields Formula

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

K e = 1 - (\frac{H f - \frac{({(v m \cdot n)}^{2}) \cdot l}{2.21 \cdot {r h}^{1.33333}}}{v m \cdot \frac{v m}{2 \cdot [g]}})

K_e - Entrance Loss Coefficient?H_f - Head Loss of Friction?v_m - Mean Velocity of Culverts?n - Manning’s Roughness Coefficient?l - Length of Culverts?r_h - Hydraulic Radius of Channel?[g] - Gravitational acceleration on Earth?

Entrance Loss Coefficient given Velocity of Flow Fields Example

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Here is how the Entrance Loss Coefficient given Velocity of Flow Fields equation looks like with Values.

Here is how the Entrance Loss Coefficient given Velocity of Flow Fields equation looks like with Units.

Here is how the Entrance Loss Coefficient given Velocity of Flow Fields equation looks like.

0.85 = 1 - (\frac{0.8027 - \frac{({(10 \cdot 0.012)}^{2}) \cdot 3}{2.21 \cdot {0.609}^{1.33333}}}{10 \cdot \frac{10}{2 \cdot 9.8066}})

0.85 = 1 - (\frac{0.8027m - \frac{({(10m/s \cdot 0.012)}^{2}) \cdot 3m}{2.21 \cdot {0.609m}^{1.33333}}}{10m/s \cdot \frac{10m/s}{2 \cdot 9.8066m/s²}})

0.85 = 1 - (\frac{0.8027 - \frac{({(10 \cdot 0.012)}^{2}) \cdot 3}{2.21 \cdot {0.609}^{1.33333}}}{10 \cdot \frac{10}{2 \cdot 9.8066}})

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Entrance Loss Coefficient given Velocity of Flow Fields Solution

Follow our step by step solution on how to calculate Entrance Loss Coefficient given Velocity of Flow Fields?

FIRST Step Consider the formula

K e = 1 - (\frac{H f - \frac{({(v m \cdot n)}^{2}) \cdot l}{2.21 \cdot {r h}^{1.33333}}}{v m \cdot \frac{v m}{2 \cdot [g]}})

Next Step Substitute values of Variables

∴

K e = 1 - (\frac{0.8027m - \frac{({(10m/s \cdot 0.012)}^{2}) \cdot 3m}{2.21 \cdot {0.609m}^{1.33333}}}{10m/s \cdot \frac{10m/s}{2 \cdot [g]}})

Next Step Substitute values of Constants

∴

K e = 1 - (\frac{0.8027m - \frac{({(10m/s \cdot 0.012)}^{2}) \cdot 3m}{2.21 \cdot {0.609m}^{1.33333}}}{10m/s \cdot \frac{10m/s}{2 \cdot 9.8066m/s²}})

Next Step Prepare to Evaluate

∴

K e = 1 - (\frac{0.8027 - \frac{({(10 \cdot 0.012)}^{2}) \cdot 3}{2.21 \cdot {0.609}^{1.33333}}}{10 \cdot \frac{10}{2 \cdot 9.8066}})

Next Step Evaluate

∴

K e = 0.849991125477853

LAST Step Rounding Answer

∴

K e = 0.85

Entrance Loss Coefficient given Velocity of Flow Fields 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

Head Loss of Friction

Head Loss of Friction is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

Symbol: H_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head Loss of Friction

Mean Velocity of Culverts

Mean Velocity of Culverts is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: v_m

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity of Culverts

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

Length of Culverts

Length of Culverts is the measurement or extent of culverts from end to end.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Culverts

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

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 in Entrance and Exit Submerged category

Go Head Loss in Flow

H f = (1 - K e) \cdot (v m \cdot \frac{v m}{2 \cdot [g]}) + \frac{({(v m \cdot n)}^{2}) \cdot l}{2.21 \cdot {r h}^{1.33333}}

Go Velocity of Flow Fields

v m = \sqrt{\frac{H f}{\frac{1 - K e}{(2 \cdot [g])} + \frac{({(n)}^{2}) \cdot l}{2.21 \cdot {r h}^{1.33333}}}}

Go Length of Culvert given Velocity of Flow Fields

l = \frac{H f - (1 - K e) \cdot (v m \cdot \frac{v m}{2 \cdot [g]})}{\frac{({(v m \cdot n)}^{2})}{2.21 \cdot {r h}^{1.33333}}}

Go Hydraulic Radius of Culvert given Velocity of Flow Fields

r h = {(\frac{({(v m \cdot n)}^{2}) \cdot l}{2.21 \cdot (H f - (1 - K e) \cdot (v m \cdot \frac{v m}{2 \cdot [g]}))})}^{0.75}

How to Evaluate Entrance Loss Coefficient given Velocity of Flow Fields?

Entrance Loss Coefficient given Velocity of Flow Fields evaluator uses Entrance Loss Coefficient = 1-((Head Loss of Friction-(((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333))/(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))) to evaluate the Entrance Loss Coefficient, Entrance Loss Coefficient given Velocity of Flow Fields is defined as loss of head from entrance to exit. Entrance Loss Coefficient is denoted by K_e symbol.

How to evaluate Entrance Loss Coefficient given Velocity of Flow Fields using this online evaluator? To use this online evaluator for Entrance Loss Coefficient given Velocity of Flow Fields, enter Head Loss of Friction (H_f), Mean Velocity of Culverts (v_m), Manning’s Roughness Coefficient (n), Length of Culverts (l) & Hydraulic Radius of Channel (r_h) and hit the calculate button.

FAQs on Entrance Loss Coefficient given Velocity of Flow Fields

What is the formula to find Entrance Loss Coefficient given Velocity of Flow Fields?

The formula of Entrance Loss Coefficient given Velocity of Flow Fields is expressed as Entrance Loss Coefficient = 1-((Head Loss of Friction-(((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333))/(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))). Here is an example- 0.849991 = 1-((0.8027-(((10*0.012)^2)*3)/(2.21*0.609^1.33333))/(10*10/(2*[g]))).

How to calculate Entrance Loss Coefficient given Velocity of Flow Fields?

With Head Loss of Friction (H_f), Mean Velocity of Culverts (v_m), Manning’s Roughness Coefficient (n), Length of Culverts (l) & Hydraulic Radius of Channel (r_h) we can find Entrance Loss Coefficient given Velocity of Flow Fields using the formula - Entrance Loss Coefficient = 1-((Head Loss of Friction-(((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333))/(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))). This formula also uses Gravitational acceleration on Earth constant(s).

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Entrance Loss Coefficient given Velocity of Flow Fields Formula

Entrance Loss Coefficient given Velocity of Flow Fields Example

Entrance Loss Coefficient given Velocity of Flow Fields Solution

Entrance Loss Coefficient given Velocity of Flow Fields Formula Elements

Other formulas in Entrance and Exit Submerged category

How to Evaluate Entrance Loss Coefficient given Velocity of Flow Fields?

FAQs on Entrance Loss Coefficient given Velocity of Flow Fields

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