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Length of Culvert given Velocity of Flow Fields Formula

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

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}}}

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

Length of Culvert given Velocity of Flow Fields Example

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Here is how the Length of Culvert given Velocity of Flow Fields equation looks like with Values.

Here is how the Length of Culvert given Velocity of Flow Fields equation looks like with Units.

Here is how the Length of Culvert given Velocity of Flow Fields equation looks like.

3.0036 = \frac{0.8027 - (1 - 0.85) \cdot (10 \cdot \frac{10}{2 \cdot 9.8066})}{\frac{({(10 \cdot 0.012)}^{2})}{2.21 \cdot {0.609}^{1.33333}}}

3.0036m = \frac{0.8027m - (1 - 0.85) \cdot (10m/s \cdot \frac{10m/s}{2 \cdot 9.8066m/s²})}{\frac{({(10m/s \cdot 0.012)}^{2})}{2.21 \cdot {0.609m}^{1.33333}}}

3.0036 = \frac{0.8027 - (1 - 0.85) \cdot (10 \cdot \frac{10}{2 \cdot 9.8066})}{\frac{({(10 \cdot 0.012)}^{2})}{2.21 \cdot {0.609}^{1.33333}}}

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Length of Culvert given Velocity of Flow Fields Solution

Follow our step by step solution on how to calculate Length of Culvert given Velocity of Flow Fields?

FIRST Step Consider the formula

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}}}

Next Step Substitute values of Variables

∴

l = \frac{0.8027m - (1 - 0.85) \cdot (10m/s \cdot \frac{10m/s}{2 \cdot [g]})}{\frac{({(10m/s \cdot 0.012)}^{2})}{2.21 \cdot {0.609m}^{1.33333}}}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l = 3.00358465911657m

LAST Step Rounding Answer

∴

l = 3.0036m

Length of Culvert given Velocity of Flow Fields Formula Elements

Variables

Constants

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

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

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

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

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 Entrance Loss Coefficient given Velocity of Flow Fields

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]}})

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 Length of Culvert given Velocity of Flow Fields?

Length of Culvert given Velocity of Flow Fields evaluator uses Length of Culverts = (Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))/((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2))/(2.21*Hydraulic Radius of Channel^1.33333)) to evaluate the Length of Culverts, Length of Culvert given Velocity of Flow Fields is defined as overall flow of channel in culverts. Length of Culverts is denoted by l symbol.

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

FAQs on Length of Culvert given Velocity of Flow Fields

What is the formula to find Length of Culvert given Velocity of Flow Fields?

The formula of Length of Culvert given Velocity of Flow Fields is expressed as Length of Culverts = (Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))/((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2))/(2.21*Hydraulic Radius of Channel^1.33333)). Here is an example- 3.003585 = (0.8027-(1-0.85)*(10*10/(2*[g])))/((((10*0.012)^2))/(2.21*0.609^1.33333)).

How to calculate Length of Culvert given Velocity of Flow Fields?

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

Can the Length of Culvert given Velocity of Flow Fields be negative?

No, the Length of Culvert given Velocity of Flow Fields, measured in Length cannot be negative.

Which unit is used to measure Length of Culvert given Velocity of Flow Fields?

Length of Culvert given Velocity of Flow Fields is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Culvert given Velocity of Flow Fields can be measured.

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Length of Culvert given Velocity of Flow Fields Formula

Length of Culvert given Velocity of Flow Fields Example

Length of Culvert given Velocity of Flow Fields Solution

Length of Culvert given Velocity of Flow Fields Formula Elements

Other formulas in Entrance and Exit Submerged category

How to Evaluate Length of Culvert given Velocity of Flow Fields?

FAQs on Length of Culvert given Velocity of Flow Fields

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