Depth of Flow given Wetted Area of Triangular Channel Section Calculator

✖Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.ⓘ Wetted Surface Area of Channel [A]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%

✖Depth of Flow 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 Wetted Area of Triangular Channel Section [d_f]

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Formula

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Depth of Flow given Wetted Area of Triangular Channel Section

Formula

`"d"_{"f"} = sqrt("A"/("θ"+cot("θ")))`

Example

`"3.329156m"=sqrt("25m²"/("30°"+cot("30°")))`

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Depth of Flow given Wetted Area of Triangular Channel Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Flow = sqrt(Wetted Surface Area of Channel/(Theta+cot(Theta)))
d_f = sqrt(A/(θ+cot(θ)))
This formula uses 2 Functions, 3 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)
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 - (Measured in Meter) - Depth of Flow 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.
Wetted Surface Area of Channel - (Measured in Square Meter) - Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

Wetted Surface Area of Channel: 25 Square Meter --> 25 Square Meter No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_f = sqrt(A/(θ+cot(θ))) --> sqrt(25/(0.5235987755982+cot(0.5235987755982)))

Evaluating ... ...

d_f = 3.32915632139485

STEP 3: Convert Result to Output's Unit

3.32915632139485 Meter --> No Conversion Required

FINAL ANSWER

3.32915632139485 ≈ 3.329156 Meter <-- Depth of Flow

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Geometrical Properties of Channel Section » Section modulus, Hydraulic Depth and Practical Channel Sections » Practical Channel Sections » Depth of Flow given Wetted Area of Triangular Channel Section

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 8 Practical Channel Sections Calculators

Hydraulic Radius of Trapezoidal Channel Section

Go Hydraulic Radius of Channel = (Depth of Flow*(Width of Trapezoidal Channel Section+Depth of Flow*(Theta+cot(Theta))))/(Width of Trapezoidal Channel Section+2*Depth of Flow*(Theta+cot(Theta)))

Wetted Area of Trapezoidal Channel Section

Go Wetted Surface Area of Channel = Depth of Flow*(Width of Trapezoidal Channel Section+Depth of Flow*(Theta+cot(Theta)))

Wetted Perimeter of Trapezoidal Channel Section

Go Wetted Perimeter of Channel = (Width of Trapezoidal Channel Section+2*Depth of Flow*(Theta+cot(Theta)))

Depth of Flow given Wetted Area of Triangular Channel Section

Go Depth of Flow = sqrt(Wetted Surface Area of Channel/(Theta+cot(Theta)))

Wetted Area of Triangular Channel Section

Go Wetted Surface Area of Channel = (Depth of Flow^2)*(Theta+cot(Theta))

Depth of Flow given Wetted Perimeter of Triangular Channel Section

Go Depth of Flow = Wetted Perimeter of Channel/(2*(Theta+cot(Theta)))

Wetted Perimeter of Triangular Channel Section

Go Wetted Perimeter of Channel = 2*Depth of Flow*(Theta+cot(Theta))

Hydraulic Radius of Triangular Channel Section

Go Hydraulic Radius of Channel = Depth of Flow/2

Depth of Flow given Wetted Area of Triangular Channel Section Formula

Depth of Flow = sqrt(Wetted Surface Area of Channel/(Theta+cot(Theta)))
d_f = sqrt(A/(θ+cot(θ)))

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 Wetted Area of Triangular Channel Section?

Depth of Flow given Wetted Area of Triangular Channel Section calculator uses Depth of Flow = sqrt(Wetted Surface Area of Channel/(Theta+cot(Theta))) to calculate the Depth of Flow, The Depth of Flow given Wetted Area of Triangular Channel Section is defined as amount of water at any section of channel in flow. Depth of Flow is denoted by d_f symbol.

How to calculate Depth of Flow given Wetted Area of Triangular Channel Section using this online calculator? To use this online calculator for Depth of Flow given Wetted Area of Triangular Channel Section, enter Wetted Surface Area of Channel (A) & Theta (θ) and hit the calculate button. Here is how the Depth of Flow given Wetted Area of Triangular Channel Section calculation can be explained with given input values -> 3.329156 = sqrt(25/(0.5235987755982+cot(0.5235987755982))).

FAQ

What is Depth of Flow given Wetted Area of Triangular Channel Section?

The Depth of Flow given Wetted Area of Triangular Channel Section is defined as amount of water at any section of channel in flow and is represented as d_f = sqrt(A/(θ+cot(θ))) or Depth of Flow = sqrt(Wetted Surface Area of Channel/(Theta+cot(Theta))). Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Depth of Flow given Wetted Area of Triangular Channel Section?

The Depth of Flow given Wetted Area of Triangular Channel Section is defined as amount of water at any section of channel in flow is calculated using Depth of Flow = sqrt(Wetted Surface Area of Channel/(Theta+cot(Theta))). To calculate Depth of Flow given Wetted Area of Triangular Channel Section, you need Wetted Surface Area of Channel (A) & Theta (θ). With our tool, you need to enter the respective value for Wetted Surface Area of Channel & Theta 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?

In this formula, Depth of Flow uses Wetted Surface Area of Channel & Theta. We can use 1 other way(s) to calculate the same, which is/are as follows -

Depth of Flow = Wetted Perimeter of Channel/(2*(Theta+cot(Theta)))

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