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Hydraulic Radius of Entire Cross-Section Formula

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The Hydraulic Radius is the ratio of the cross-sectional area of a channel or pipe in which a fluid flows to the conduit's wet perimeter. Check FAQs

r H = D \cdot {(\frac{V avg}{V meas})}^{\frac{3}{2}}

r_H - Hydraulic Radius?D - Depth of Water at Current Meter Location?V_avg - Max Velocity averaged Over Inlet Cross Section?V_meas - Point Measurement of Maximum Velocity?

Hydraulic Radius of Entire Cross-Section Example

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Here is how the Hydraulic Radius of Entire Cross-Section equation looks like with Values.

Here is how the Hydraulic Radius of Entire Cross-Section equation looks like with Units.

Here is how the Hydraulic Radius of Entire Cross-Section equation looks like.

0.33 = 8.1 \cdot {(\frac{3}{25.34})}^{\frac{3}{2}}

0.33m = 8.1m \cdot {(\frac{3m/s}{25.34m/s})}^{\frac{3}{2}}

0.33 = 8.1 \cdot {(\frac{3}{25.34})}^{\frac{3}{2}}

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Hydraulic Radius of Entire Cross-Section Solution

Follow our step by step solution on how to calculate Hydraulic Radius of Entire Cross-Section?

FIRST Step Consider the formula

r H = D \cdot {(\frac{V avg}{V meas})}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

r H = 8.1m \cdot {(\frac{3m/s}{25.34m/s})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

r H = 8.1 \cdot {(\frac{3}{25.34})}^{\frac{3}{2}}

Next Step Evaluate

∴

r H = 0.329956725602316m

LAST Step Rounding Answer

∴

r H = 0.33m

Hydraulic Radius of Entire Cross-Section Formula Elements

Variables

Hydraulic Radius

The Hydraulic Radius is the ratio of the cross-sectional area of a channel or pipe in which a fluid flows to the conduit's wet perimeter.

Symbol: r_H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Radius

Depth of Water at Current Meter Location

Depth of Water at Current Meter Location [length] where current meter is used to measure water velocity at predetermined points.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Water at Current Meter Location

Max Velocity averaged Over Inlet Cross Section

Max Velocity averaged Over Inlet Cross Section entirely [length/time] depends on point measurement of maximum velocity, hydraulic radius and depth of water at current meter location.

Symbol: V_avg

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Max Velocity averaged Over Inlet Cross Section

Point Measurement of Maximum Velocity

Point measurement of Maximum Velocity [length/time] depends on max velocity averaged over inlet cross section, hydraulic radius and depth of water at current meter location.

Symbol: V_meas

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Point Measurement of Maximum Velocity

Other formulas in Tidal Prism category

Go Tidal Prism filling Bay given Maximum Ebb Tide Discharge

P = T \cdot \frac{Q max}{π}

Go Maximum Instantaneous Ebb Tide Discharge given Tidal Prism

Q max = P \cdot \frac{π}{T}

Go Tidal Period given Maximum Instantaneous Ebb Tide Discharge and Tidal Prism

T = \frac{P \cdot π}{Q max}

Go Tidal Prism given Average Area over Channel Length

P = \frac{T \cdot V m \cdot A avg}{π}

How to Evaluate Hydraulic Radius of Entire Cross-Section?

Hydraulic Radius of Entire Cross-Section evaluator uses Hydraulic Radius = Depth of Water at Current Meter Location*(Max Velocity averaged Over Inlet Cross Section/Point Measurement of Maximum Velocity)^(3/2) to evaluate the Hydraulic Radius, The Hydraulic Radius of Entire Cross-Section formula is defined as the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit. Hydraulic Radius is denoted by r_H symbol.

How to evaluate Hydraulic Radius of Entire Cross-Section using this online evaluator? To use this online evaluator for Hydraulic Radius of Entire Cross-Section, enter Depth of Water at Current Meter Location (D), Max Velocity averaged Over Inlet Cross Section (V_avg) & Point Measurement of Maximum Velocity (V_meas) and hit the calculate button.

FAQs on Hydraulic Radius of Entire Cross-Section

What is the formula to find Hydraulic Radius of Entire Cross-Section?

The formula of Hydraulic Radius of Entire Cross-Section is expressed as Hydraulic Radius = Depth of Water at Current Meter Location*(Max Velocity averaged Over Inlet Cross Section/Point Measurement of Maximum Velocity)^(3/2). Here is an example- 0.329957 = 8.1*(3/25.34)^(3/2).

How to calculate Hydraulic Radius of Entire Cross-Section?

With Depth of Water at Current Meter Location (D), Max Velocity averaged Over Inlet Cross Section (V_avg) & Point Measurement of Maximum Velocity (V_meas) we can find Hydraulic Radius of Entire Cross-Section using the formula - Hydraulic Radius = Depth of Water at Current Meter Location*(Max Velocity averaged Over Inlet Cross Section/Point Measurement of Maximum Velocity)^(3/2).

Can the Hydraulic Radius of Entire Cross-Section be negative?

No, the Hydraulic Radius of Entire Cross-Section, measured in Length cannot be negative.

Which unit is used to measure Hydraulic Radius of Entire Cross-Section?

Hydraulic Radius of Entire Cross-Section 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 Entire Cross-Section can be measured.

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