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Hydraulic Radius of Flow Formula

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Hydraulic Radius of Triangular 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

R H(Δ) = \frac{d f(Δ) \cdot z Tri}{2 \cdot \sqrt{{z Tri}^{2} + 1}}

R_H(Δ) - Hydraulic Radius of Triangular Channel?d_f(Δ) - Depth of Flow of Triangle Channel?z_Tri - Side Slope of Triangular Channel?

Hydraulic Radius of Flow Example

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

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

Here is how the Hydraulic Radius of Flow equation looks like.

1.1714 = \frac{3.33 \cdot 0.99}{2 \cdot \sqrt{{0.99}^{2} + 1}}

1.1714m = \frac{3.33m \cdot 0.99}{2 \cdot \sqrt{{0.99}^{2} + 1}}

1.1714 = \frac{3.33 \cdot 0.99}{2 \cdot \sqrt{{0.99}^{2} + 1}}

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Hydraulic Radius of Flow Solution

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

FIRST Step Consider the formula

R H(Δ) = \frac{d f(Δ) \cdot z Tri}{2 \cdot \sqrt{{z Tri}^{2} + 1}}

Next Step Substitute values of Variables

∴

R H(Δ) = \frac{3.33m \cdot 0.99}{2 \cdot \sqrt{{0.99}^{2} + 1}}

Next Step Prepare to Evaluate

∴

R H(Δ) = \frac{3.33 \cdot 0.99}{2 \cdot \sqrt{{0.99}^{2} + 1}}

Next Step Evaluate

∴

R H(Δ) = 1.17140175553698m

LAST Step Rounding Answer

∴

R H(Δ) = 1.1714m

Hydraulic Radius of Flow Formula Elements

Variables

Functions

Hydraulic Radius of Triangular Channel

Hydraulic Radius of Triangular 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(Δ)

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Hydraulic Radius of Triangular Channel

Depth of Flow of Triangle Channel

Depth of Flow of Triangle Channel is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

Symbol: d_f(Δ)

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Flow of Triangle Channel

Side Slope of Triangular Channel

Side Slope of Triangular Channel is how far a channel drops over a horizontal distance.

Symbol: z_Tri

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Side Slope of Triangular Channel

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Geometrical Properties of Triangular Channel Section category

Go Wetted Area for Triangular

A Tri = z Tri \cdot {d f(Δ)}^{2}

Go Side Slope of Section given Wetted Area

z Tri = \frac{A Tri}{d f(Δ) \cdot d f(Δ)}

Go Depth of Flow given Wetted Area for Triangle

d f(Δ) = \sqrt{\frac{A Tri}{z Tri}}

Go Wetted Perimeter for Triangular Section

P Tri = 2 \cdot d f(Δ) \cdot (\sqrt{z Tri \cdot z Tri + 1})

How to Evaluate Hydraulic Radius of Flow?

Hydraulic Radius of Flow evaluator uses Hydraulic Radius of Triangular Channel = (Depth of Flow of Triangle Channel*Side Slope of Triangular Channel)/(2*sqrt(Side Slope of Triangular Channel^2+1)) to evaluate the Hydraulic Radius of Triangular Channel, The Hydraulic Radius of Flow is defined as the ratio of wetted area to the top width of channel measured at any point in the path. Hydraulic Radius of Triangular Channel is denoted by R_H(Δ) symbol.

How to evaluate Hydraulic Radius of Flow using this online evaluator? To use this online evaluator for Hydraulic Radius of Flow, enter Depth of Flow of Triangle Channel (d_f(Δ)) & Side Slope of Triangular Channel (z_Tri) and hit the calculate button.

FAQs on Hydraulic Radius of Flow

What is the formula to find Hydraulic Radius of Flow?

The formula of Hydraulic Radius of Flow is expressed as Hydraulic Radius of Triangular Channel = (Depth of Flow of Triangle Channel*Side Slope of Triangular Channel)/(2*sqrt(Side Slope of Triangular Channel^2+1)). Here is an example- 1.177392 = (3.33*0.99)/(2*sqrt(0.99^2+1)).

How to calculate Hydraulic Radius of Flow?

With Depth of Flow of Triangle Channel (d_f(Δ)) & Side Slope of Triangular Channel (z_Tri) we can find Hydraulic Radius of Flow using the formula - Hydraulic Radius of Triangular Channel = (Depth of Flow of Triangle Channel*Side Slope of Triangular Channel)/(2*sqrt(Side Slope of Triangular Channel^2+1)). This formula also uses Square Root (sqrt) function(s).

Can the Hydraulic Radius of Flow be negative?

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

Which unit is used to measure Hydraulic Radius of Flow?

Hydraulic Radius of Flow 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 Flow can be measured.

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