Hydraulic Radius of Culvert given Velocity of Flow Fields Formula

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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. Check FAQs
rh=(((vmn)2)l2.21(Hf-(1-Ke)(vmvm2[g])))0.75
rh - Hydraulic Radius of Channel?vm - Mean Velocity of Culverts?n - Manning’s Roughness Coefficient?l - Length of Culverts?Hf - Head Loss of Friction?Ke - Entrance Loss Coefficient?[g] - Gravitational acceleration on Earth?

Hydraulic Radius of Culvert given Velocity of Flow Fields Example

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

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

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

0.6085Edit=(((10Edit0.012Edit)2)3Edit2.21(0.8027Edit-(1-0.85Edit)(10Edit10Edit29.8066)))0.75
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Hydraulic Radius of Culvert given Velocity of Flow Fields Solution

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

FIRST Step Consider the formula
rh=(((vmn)2)l2.21(Hf-(1-Ke)(vmvm2[g])))0.75
Next Step Substitute values of Variables
rh=(((10m/s0.012)2)3m2.21(0.8027m-(1-0.85)(10m/s10m/s2[g])))0.75
Next Step Substitute values of Constants
rh=(((10m/s0.012)2)3m2.21(0.8027m-(1-0.85)(10m/s10m/s29.8066m/s²)))0.75
Next Step Prepare to Evaluate
rh=(((100.012)2)32.21(0.8027-(1-0.85)(101029.8066)))0.75
Next Step Evaluate
rh=0.608455560024404m
LAST Step Rounding Answer
rh=0.6085m

Hydraulic Radius of Culvert given Velocity of Flow Fields Formula Elements

Variables
Constants
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: rh
Measurement: LengthUnit: m
Note: Value can be positive or negative.
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: vm
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
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.
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.
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: Hf
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Entrance Loss Coefficient
Entrance Loss Coefficient is defined as the amount of head lost at entrance.
Symbol: Ke
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
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
Hf=(1-Ke)(vmvm2[g])+((vmn)2)l2.21rh1.33333
​Go Velocity of Flow Fields
vm=Hf1-Ke(2[g])+((n)2)l2.21rh1.33333
​Go Entrance Loss Coefficient given Velocity of Flow Fields
Ke=1-(Hf-((vmn)2)l2.21rh1.33333vmvm2[g])
​Go Length of Culvert given Velocity of Flow Fields
l=Hf-(1-Ke)(vmvm2[g])((vmn)2)2.21rh1.33333

How to Evaluate Hydraulic Radius of Culvert given Velocity of Flow Fields?

Hydraulic Radius of Culvert given Velocity of Flow Fields evaluator uses Hydraulic Radius of Channel = ((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*(Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))))^0.75 to evaluate the Hydraulic Radius of Channel, Hydraulic Radius of Culvert given Velocity of Flow Fields is defined as ratio of wetted area to wetted perimeter. Hydraulic Radius of Channel is denoted by rh symbol.

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

FAQs on Hydraulic Radius of Culvert given Velocity of Flow Fields

What is the formula to find Hydraulic Radius of Culvert given Velocity of Flow Fields?
The formula of Hydraulic Radius of Culvert given Velocity of Flow Fields is expressed as Hydraulic Radius of Channel = ((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*(Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))))^0.75. Here is an example- 0.608456 = ((((10*0.012)^2)*3)/(2.21*(0.8027-(1-0.85)*(10*10/(2*[g])))))^0.75.
How to calculate Hydraulic Radius of Culvert given Velocity of Flow Fields?
With Mean Velocity of Culverts (vm), Manning’s Roughness Coefficient (n), Length of Culverts (l), Head Loss of Friction (Hf) & Entrance Loss Coefficient (Ke) we can find Hydraulic Radius of Culvert given Velocity of Flow Fields using the formula - Hydraulic Radius of Channel = ((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*(Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))))^0.75. This formula also uses Gravitational acceleration on Earth constant(s).
Can the Hydraulic Radius of Culvert given Velocity of Flow Fields be negative?
Yes, the Hydraulic Radius of Culvert given Velocity of Flow Fields, measured in Length can be negative.
Which unit is used to measure Hydraulic Radius of Culvert given Velocity of Flow Fields?
Hydraulic Radius 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 Hydraulic Radius of Culvert given Velocity of Flow Fields can be measured.
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