Wetted Perimeter for Triangular Section 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%

✖Wetted Perimeter of Triangular Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Wetted Perimeter for Triangular Section [P_Tri]

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Formula

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Wetted Perimeter for Triangular Section

Formula

`"P"_{"Tri"} = 2*"d"_{"f(Δ)"}*(sqrt("z"_{"Tri"}*"z"_{"Tri"}+1))`

Example

`"9.371687m"=2*"3.33m"*(sqrt("0.99"*"0.99"+1))`

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Download Geometrical Properties of Triangular Channel Section Formulas PDF PDF Image

Wetted Perimeter for Triangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wetted Perimeter of Triangular Channel = 2*Depth of Flow of Triangle Channel*(sqrt(Side Slope of Triangular Channel*Side Slope of Triangular Channel+1))
P_Tri = 2*d_f(Δ)*(sqrt(z_Tri*z_Tri+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

Wetted Perimeter of Triangular Channel - (Measured in Meter) - Wetted Perimeter of Triangular Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.
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

P_Tri = 2*d_f(Δ)*(sqrt(z_Tri*z_Tri+1)) --> 2*3.33*(sqrt(0.99*0.99+1))

Evaluating ... ...

P_Tri = 9.3716873379344

STEP 3: Convert Result to Output's Unit

9.3716873379344 Meter --> No Conversion Required

FINAL ANSWER

9.3716873379344 ≈ 9.371687 Meter <-- Wetted Perimeter 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

Wetted Perimeter for Triangular Section Formula

Wetted Perimeter of Triangular Channel = 2*Depth of Flow of Triangle Channel*(sqrt(Side Slope of Triangular Channel*Side Slope of Triangular Channel+1))
P_Tri = 2*d_f(Δ)*(sqrt(z_Tri*z_Tri+1))

What is Wetted Perimeter?

The wetted perimeter is the perimeter of the cross sectional area that is "wet". The length of line of the intersection of channel wetted surface with a cross sectional plane normal to the flow direction.

How to Calculate Wetted Perimeter for Triangular Section?

Wetted Perimeter for Triangular Section calculator uses Wetted Perimeter of Triangular Channel = 2*Depth of Flow of Triangle Channel*(sqrt(Side Slope of Triangular Channel*Side Slope of Triangular Channel+1)) to calculate the Wetted Perimeter of Triangular Channel, The Wetted Perimeter for Triangular Section formula is defined as the amount of surface touching the water in the triangular channel. Wetted Perimeter of Triangular Channel is denoted by P_Tri symbol.

How to calculate Wetted Perimeter for Triangular Section using this online calculator? To use this online calculator for Wetted Perimeter for Triangular Section, 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 Wetted Perimeter for Triangular Section calculation can be explained with given input values -> 9.419133 = 2*3.33*(sqrt(0.99*0.99+1)).

FAQ

What is Wetted Perimeter for Triangular Section?

The Wetted Perimeter for Triangular Section formula is defined as the amount of surface touching the water in the triangular channel and is represented as P_Tri = 2*d_f(Δ)*(sqrt(z_Tri*z_Tri+1)) or Wetted Perimeter of Triangular Channel = 2*Depth of Flow of Triangle Channel*(sqrt(Side Slope of Triangular Channel*Side Slope of Triangular Channel+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 Wetted Perimeter for Triangular Section?

The Wetted Perimeter for Triangular Section formula is defined as the amount of surface touching the water in the triangular channel is calculated using Wetted Perimeter of Triangular Channel = 2*Depth of Flow of Triangle Channel*(sqrt(Side Slope of Triangular Channel*Side Slope of Triangular Channel+1)). To calculate Wetted Perimeter for Triangular Section, 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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