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Hydraulic Radius Formula

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Hydraulic Radius 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

r H = \frac{A cs}{P}

r_H - Hydraulic Radius?A_cs - Cross Sectional Area of Flow?P - Wetted Perimeter?

Hydraulic Radius Example

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Here is how the Hydraulic Radius equation looks like with Values.

Here is how the Hydraulic Radius equation looks like with Units.

Here is how the Hydraulic Radius equation looks like.

0.3125 = \frac{25}{80}

0.3125m = \frac{25m²}{80m}

0.3125 = \frac{25}{80}

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Hydraulic Radius Solution

Follow our step by step solution on how to calculate Hydraulic Radius?

FIRST Step Consider the formula

r H = \frac{A cs}{P}

Next Step Substitute values of Variables

∴

r H = \frac{25m²}{80m}

Next Step Prepare to Evaluate

∴

r H = \frac{25}{80}

LAST Step Evaluate

∴

r H = 0.3125m

Hydraulic Radius Formula Elements

Variables

Hydraulic Radius

Hydraulic Radius 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

Cross Sectional Area of Flow

Cross Sectional Area of Flow is the area of the sliced portion of a 3D object(pipe). When a pipe is sliced ,the cross sectional area will be calculated for the top part, which is a circle.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Flow

Wetted Perimeter

Wetted Perimeter is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

Symbol: P

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wetted Perimeter

Other formulas in Basics of Heat Transfer category

Go Log Mean Temperature Difference for CoCurrent Flow

LMTD = \frac{(T ho - T co) - (T hi - T ci)}{\ln (\frac{T ho - T co}{T hi - T ci})}

Go Log Mean Temperature Difference for Counter Current Flow

LMTD = \frac{(T ho - T ci) - (T hi - T co)}{\ln (\frac{T ho - T ci}{T hi - T co})}

Go Logarithmic Mean Area of Cylinder

A mean = \frac{A o - A i}{\ln (\frac{A o}{A i})}

Go Heat Transfer Coefficient based on Temperature Difference

h ht = \frac{q}{ΔT Overall}

How to Evaluate Hydraulic Radius?

Hydraulic Radius evaluator uses Hydraulic Radius = Cross Sectional Area of Flow/Wetted Perimeter to evaluate the Hydraulic Radius, The Hydraulic Radius 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 using this online evaluator? To use this online evaluator for Hydraulic Radius, enter Cross Sectional Area of Flow (A_cs) & Wetted Perimeter (P) and hit the calculate button.

FAQs on Hydraulic Radius

What is the formula to find Hydraulic Radius?

The formula of Hydraulic Radius is expressed as Hydraulic Radius = Cross Sectional Area of Flow/Wetted Perimeter. Here is an example- 0.3125 = 25/80.

How to calculate Hydraulic Radius?

With Cross Sectional Area of Flow (A_cs) & Wetted Perimeter (P) we can find Hydraulic Radius using the formula - Hydraulic Radius = Cross Sectional Area of Flow/Wetted Perimeter.

Can the Hydraulic Radius be negative?

Yes, the Hydraulic Radius, measured in Length can be negative.

Which unit is used to measure Hydraulic Radius?

Hydraulic Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hydraulic Radius can be measured.

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