Hydraulic Radius of Flow Calculator

✖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 of Triangle Channel [d_f(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%

✖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 Flow [R_H(Δ)]

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Formula

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Hydraulic Radius of Flow

Formula

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

Example

`"1.171402m"=("3.33m"*"0.99")/(2*sqrt(("0.99")^2+1))`

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Download Geometrical Properties of Triangular Channel Section Formulas PDF PDF Image

Hydraulic Radius of Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
R_H(Δ) = (d_f(Δ)*z_Tri)/(2*sqrt(z_Tri^2+1))
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

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.
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.
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

Depth of Flow of Triangle Channel: 3.33 Meter --> 3.33 Meter No Conversion Required
Side Slope of Triangular Channel: 0.99 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H(Δ) = (d_f(Δ)*z_Tri)/(2*sqrt(z_Tri^2+1)) --> (3.33*0.99)/(2*sqrt(0.99^2+1))

Evaluating ... ...

R_H(Δ) = 1.17140175553698

STEP 3: Convert Result to Output's Unit

1.17140175553698 Meter --> No Conversion Required

FINAL ANSWER

1.17140175553698 ≈ 1.171402 Meter <-- Hydraulic Radius of Triangular Channel

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

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

Hydraulic Radius of Flow Formula

What is Hydraulic Radius?

Hydraulic Radius 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.

How to Calculate Hydraulic Radius of Flow?

Hydraulic Radius of Flow calculator 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 calculate 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 calculate Hydraulic Radius of Flow using this online calculator? To use this online calculator 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. Here is how the Hydraulic Radius of Flow calculation can be explained with given input values -> 1.177392 = (3.33*0.99)/(2*sqrt(0.99^2+1)).

FAQ

What is Hydraulic Radius of Flow?

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 and is represented as R_H(Δ) = (d_f(Δ)*z_Tri)/(2*sqrt(z_Tri^2+1)) or 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 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 & Side Slope of Triangular Channel is how far a channel drops over a horizontal distance.

How to calculate Hydraulic Radius of Flow?

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 is calculated using 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 calculate Hydraulic Radius of Flow, you need Depth of Flow of Triangle Channel (d_f(Δ)) & Side Slope of Triangular Channel (z_Tri). With our tool, you need to enter the respective value for Depth of Flow of Triangle 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.

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