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Depth of Flow given Hydraulic Radius for Triangle Formula

GoDepth of Flow given Wetted Area for Triangle Formula

GoDepth of Flow for Wetted Perimeter for Triangle Formula

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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. Check FAQs

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

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

Depth of Flow given Hydraulic Radius for Triangle Example

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Here is how the Depth of Flow given Hydraulic Radius for Triangle equation looks like with Values.

Here is how the Depth of Flow given Hydraulic Radius for Triangle equation looks like with Units.

Here is how the Depth of Flow given Hydraulic Radius for Triangle equation looks like.

3.3175 = 1.167 \cdot 2 \cdot \frac{\sqrt{{0.99}^{2} + 1}}{0.99}

3.3175m = 1.167m \cdot 2 \cdot \frac{\sqrt{{0.99}^{2} + 1}}{0.99}

3.3175 = 1.167 \cdot 2 \cdot \frac{\sqrt{{0.99}^{2} + 1}}{0.99}

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Depth of Flow given Hydraulic Radius for Triangle Solution

Follow our step by step solution on how to calculate Depth of Flow given Hydraulic Radius for Triangle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d f(Δ) = 1.167m \cdot 2 \cdot \frac{\sqrt{{0.99}^{2} + 1}}{0.99}

Next Step Prepare to Evaluate

∴

d f(Δ) = 1.167 \cdot 2 \cdot \frac{\sqrt{{0.99}^{2} + 1}}{0.99}

Next Step Evaluate

∴

d f(Δ) = 3.31748691824232m

LAST Step Rounding Answer

∴

d f(Δ) = 3.3175m

Depth of Flow given Hydraulic Radius for Triangle Formula Elements

Variables

Functions

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

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

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 to find Depth of Flow of Triangle Channel

Go Depth of Flow given Wetted Area for Triangle

d f(Δ) = \sqrt{\frac{A Tri}{z Tri}}

Go Depth of Flow for Wetted Perimeter for Triangle

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

Go Depth of Flow given Top Width for Triangle

d f(Δ) = \frac{T Tri}{2 \cdot z Tri}

Go Depth of Flow given Hydraulic Depth for Triangle

d f(Δ) = D H(Δ) \cdot 2

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 Wetted Perimeter for Triangular Section

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

Go Side Slope of Section given Wetted Perimeters

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

How to Evaluate Depth of Flow given Hydraulic Radius for Triangle?

Depth of Flow given Hydraulic Radius for Triangle evaluator uses Depth of Flow of Triangle Channel = Hydraulic Radius of Triangular Channel*2*(sqrt(Side Slope of Triangular Channel^2+1))/Side Slope of Triangular Channel to evaluate the Depth of Flow of Triangle Channel, Depth of Flow given Hydraulic Radius for Triangle is defined as the amount of water in channel at any point. Depth of Flow of Triangle Channel is denoted by d_f(Δ) symbol.

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

FAQs on Depth of Flow given Hydraulic Radius for Triangle

What is the formula to find Depth of Flow given Hydraulic Radius for Triangle?

The formula of Depth of Flow given Hydraulic Radius for Triangle is expressed as Depth of Flow of Triangle Channel = Hydraulic Radius of Triangular Channel*2*(sqrt(Side Slope of Triangular Channel^2+1))/Side Slope of Triangular Channel. Here is an example- 3.300609 = 1.167*2*(sqrt(0.99^2+1))/0.99.

How to calculate Depth of Flow given Hydraulic Radius for Triangle?

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

What are the other ways to Calculate Depth of Flow of Triangle Channel?

Here are the different ways to Calculate Depth of Flow of Triangle Channel-

Depth of Flow of Triangle Channel=sqrt(Wetted Surface Area of Triangular Channel/Side Slope of Triangular Channel)
Depth of Flow of Triangle Channel=(Wetted Perimeter of Triangular Channel)/(2*(sqrt(Side Slope of Triangular Channel^2+1)))
Depth of Flow of Triangle Channel=Top Width of Triangular Channel/(2*Side Slope of Triangular Channel)

Can the Depth of Flow given Hydraulic Radius for Triangle be negative?

Yes, the Depth of Flow given Hydraulic Radius for Triangle, measured in Length can be negative.

Which unit is used to measure Depth of Flow given Hydraulic Radius for Triangle?

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

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