Depth of Flow given Hydraulic Radius for Triangle Calculator

✖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.ⓘ Hydraulic Radius of Triangular Channel [R_H(Δ)]			+10% -10%
✖Side Slope of Triangular Channel is how far a channel drops over a horizontal distance.ⓘ Side Slope of Triangular Channel [z_Tri]			+10% -10%

✖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.ⓘ Depth of Flow given Hydraulic Radius for Triangle [d_f(Δ)]

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Formula

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Depth of Flow given Hydraulic Radius for Triangle

Formula

`"d"_{"f(Δ)"} = "R"_{"H(Δ)"}*2*(sqrt("z"_{"Tri"}^2+1))/"z"_{"Tri"}`

Example

`"3.317487m"="1.167m"*2*(sqrt(("0.99")^2+1))/"0.99"`

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Download Geometrical Properties of Triangular Channel Section Formulas PDF

Depth of Flow given Hydraulic Radius for Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
d_f(Δ) = R_H(Δ)*2*(sqrt(z_Tri^2+1))/z_Tri
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Depth of Flow of Triangle Channel - (Measured in Meter) - 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.
Hydraulic Radius of Triangular Channel - (Measured in Meter) - 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.
Side Slope of Triangular Channel - Side Slope of Triangular Channel is how far a channel drops over a horizontal distance.

STEP 1: Convert Input(s) to Base Unit

Hydraulic Radius of Triangular Channel: 1.167 Meter --> 1.167 Meter No Conversion Required
Side Slope of Triangular Channel: 0.99 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_f(Δ) = R_H(Δ)*2*(sqrt(z_Tri^2+1))/z_Tri --> 1.167*2*(sqrt(0.99^2+1))/0.99

Evaluating ... ...

d_f(Δ) = 3.31748691824232

STEP 3: Convert Result to Output's Unit

3.31748691824232 Meter --> No Conversion Required

FINAL ANSWER

3.31748691824232 ≈ 3.317487 Meter <-- Depth of Flow of Triangle Channel

(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 17 Geometrical Properties of Triangular Channel Section Calculators

Side Slope of Section given Hydraulic Radius

Go Side Slope of Triangular Channel = sqrt((4*(Hydraulic Radius of Triangular Channel^2))/((Depth of Flow of Triangle Channel^2)-(4*Hydraulic Radius of Triangular Channel^2)))

Hydraulic Radius of Flow

Go 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))

Depth of Flow given Hydraulic Radius for Triangle

Go 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

Wetted Perimeter for Triangular Section

Go Wetted Perimeter of Triangular Channel = 2*Depth of Flow of Triangle Channel*(sqrt(Side Slope of Triangular Channel*Side Slope of Triangular Channel+1))

Side Slope of Section given Wetted Area

Go Side Slope of Triangular Channel = Wetted Surface Area of Triangular Channel/(Depth of Flow of Triangle Channel*Depth of Flow of Triangle Channel)

Depth of Flow for Wetted Perimeter for Triangle

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

Side Slope of Section given Wetted Perimeters

Go Side Slope of Triangular Channel = sqrt(((Wetted Perimeter of Triangular Channel/(2*Depth of Flow of Triangle Channel))^2)-1)

Side Slope of Section given Section Factor

Go Side Slope of Triangular Channel = Section Factor of Triangular Channel/(((Depth of Flow of Triangle Channel^2.5))/sqrt(2))

Depth of Flow given Section Factor for Triangle Channel

Go Depth of Flow of Triangle Channel = (Section Factor of Triangular Channel*sqrt(2)/Side Slope of Triangular Channel)^(2/5)

Section Factor for Triangle

Go Section Factor of Triangular Channel = (Side Slope of Triangular Channel*(Depth of Flow of Triangle Channel^2.5))/sqrt(2)

Depth of Flow given Wetted Area for Triangle

Go Depth of Flow of Triangle Channel = sqrt(Wetted Surface Area of Triangular Channel/Side Slope of Triangular Channel)

Wetted Area for Triangular

Go Wetted Surface Area of Triangular Channel = Side Slope of Triangular Channel*Depth of Flow of Triangle Channel^2

Side Slope of Section given Top Width for Triangle

Go Side Slope of Triangular Channel = Top Width of Triangular Channel/(2*Depth of Flow of Triangle Channel)

Depth of Flow given Top Width for Triangle

Go Depth of Flow of Triangle Channel = Top Width of Triangular Channel/(2*Side Slope of Triangular Channel)

Top Width for Triangle

Go Top Width of Triangular Channel = 2*Depth of Flow of Triangle Channel*Side Slope of Triangular Channel

Hydraulic Depth for Triangle

Go Hydraulic Depth of Triangular Channel = 0.5*Depth of Flow of Triangle Channel

Depth of Flow given Hydraulic Depth for Triangle

Go Depth of Flow of Triangle Channel = Hydraulic Depth of Triangular Channel*2

Depth of Flow given Hydraulic Radius for Triangle 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
d_f(Δ) = R_H(Δ)*2*(sqrt(z_Tri^2+1))/z_Tri

What is Depth of Flow?

Normal depth is the depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant. Note: Flow at normal depth in culverts often presents the highest average velocities and shallowest depths at that flow.

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

Depth of Flow given Hydraulic Radius for Triangle calculator 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 calculate 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 calculate Depth of Flow given Hydraulic Radius for Triangle using this online calculator? To use this online calculator 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. Here is how the Depth of Flow given Hydraulic Radius for Triangle calculation can be explained with given input values -> 3.300609 = 1.167*2*(sqrt(0.99^2+1))/0.99.

FAQ

What is Depth of Flow given Hydraulic Radius for Triangle?

Depth of Flow given Hydraulic Radius for Triangle is defined as the amount of water in channel at any point and is represented as d_f(Δ) = R_H(Δ)*2*(sqrt(z_Tri^2+1))/z_Tri or 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. 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 & Side Slope of Triangular Channel is how far a channel drops over a horizontal distance.

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

Depth of Flow given Hydraulic Radius for Triangle is defined as the amount of water in channel at any point is calculated using 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 calculate Depth of Flow given Hydraulic Radius for Triangle, you need Hydraulic Radius of Triangular Channel (R_H(Δ)) & Side Slope of Triangular Channel (z_Tri). With our tool, you need to enter the respective value for Hydraulic Radius of Triangular Channel & Side Slope of Triangular Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Depth of Flow of Triangle Channel?

In this formula, Depth of Flow of Triangle Channel uses Hydraulic Radius of Triangular Channel & Side Slope of Triangular Channel. We can use 5 other way(s) to calculate the same, which is/are as follows -

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)
Depth of Flow of Triangle Channel = Hydraulic Depth of Triangular Channel*2
Depth of Flow of Triangle Channel = (Section Factor of Triangular Channel*sqrt(2)/Side Slope of Triangular Channel)^(2/5)

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