Wetted Area of Trapezoidal Channel Section Calculator

✖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 [d_f]			+10% -10%
✖Width of Trapezoidal Channel Section is the horizontal distance between its parallel sides or banks.ⓘ Width of Trapezoidal Channel Section [B]			+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%

✖Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.ⓘ Wetted Area of Trapezoidal Channel Section [A]

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Formula

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Wetted Area of Trapezoidal Channel Section

Formula

`"A" = "d"_{"f"}*("B"+"d"_{"f"}*("θ"+cot("θ")))`

Example

`"24.89402m²"="3.3m"*("100mm"+"3.3m"*("30°"+cot("30°")))`

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Download Section modulus, Hydraulic Depth and Practical Channel Sections Formulas PDF

Wetted Area of Trapezoidal Channel Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wetted Surface Area of Channel = Depth of Flow*(Width of Trapezoidal Channel Section+Depth of Flow*(Theta+cot(Theta)))
A = d_f*(B+d_f*(θ+cot(θ)))
This formula uses 1 Functions, 4 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)

Variables Used

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.
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.
Width of Trapezoidal Channel Section - (Measured in Meter) - Width of Trapezoidal Channel Section is the horizontal distance between its parallel sides or banks.
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

Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required
Width of Trapezoidal Channel Section: 100 Millimeter --> 0.1 Meter (Check conversion here)
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = d_f*(B+d_f*(θ+cot(θ))) --> 3.3*(0.1+3.3*(0.5235987755982+cot(0.5235987755982)))

Evaluating ... ...

A = 24.8940239606895

STEP 3: Convert Result to Output's Unit

24.8940239606895 Square Meter --> No Conversion Required

FINAL ANSWER

24.8940239606895 ≈ 24.89402 Square Meter <-- Wetted Surface Area of Channel

(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 » Wetted Area of Trapezoidal Channel Section

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Verified by M Naveen

National Institute of Technology (NIT), Warangal

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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

Wetted Area of Trapezoidal Channel Section Formula

Wetted Surface Area of Channel = Depth of Flow*(Width of Trapezoidal Channel Section+Depth of Flow*(Theta+cot(Theta)))
A = d_f*(B+d_f*(θ+cot(θ)))

What is Wetted Area ?

The surface area that interacts with the working fluid or gas. In maritime use, the wetted area is the area of the hull which is immersed in water. In aeronautics, the wetted area is the area which is in contact with the external airflow. This has a direct relationship on the overall aerodynamic drag of the aircraft.

How to Calculate Wetted Area of Trapezoidal Channel Section?

Wetted Area of Trapezoidal Channel Section calculator uses Wetted Surface Area of Channel = Depth of Flow*(Width of Trapezoidal Channel Section+Depth of Flow*(Theta+cot(Theta))) to calculate the Wetted Surface Area of Channel, The Wetted Area of Trapezoidal Channel Section formula is defined as surface in contact with water in section of channel. Wetted Surface Area of Channel is denoted by A symbol.

How to calculate Wetted Area of Trapezoidal Channel Section using this online calculator? To use this online calculator for Wetted Area of Trapezoidal Channel Section, enter Depth of Flow (d_f), Width of Trapezoidal Channel Section (B) & Theta (θ) and hit the calculate button. Here is how the Wetted Area of Trapezoidal Channel Section calculation can be explained with given input values -> 24.89402 = 3.3*(0.1+3.3*(0.5235987755982+cot(0.5235987755982))).

FAQ

What is Wetted Area of Trapezoidal Channel Section?

The Wetted Area of Trapezoidal Channel Section formula is defined as surface in contact with water in section of channel and is represented as A = d_f*(B+d_f*(θ+cot(θ))) or Wetted Surface Area of Channel = Depth of Flow*(Width of Trapezoidal Channel Section+Depth of Flow*(Theta+cot(Theta))). 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, Width of Trapezoidal Channel Section is the horizontal distance between its parallel sides or banks & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Wetted Area of Trapezoidal Channel Section?

The Wetted Area of Trapezoidal Channel Section formula is defined as surface in contact with water in section of channel is calculated using Wetted Surface Area of Channel = Depth of Flow*(Width of Trapezoidal Channel Section+Depth of Flow*(Theta+cot(Theta))). To calculate Wetted Area of Trapezoidal Channel Section, you need Depth of Flow (d_f), Width of Trapezoidal Channel Section (B) & Theta (θ). With our tool, you need to enter the respective value for Depth of Flow, Width of Trapezoidal Channel Section & 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 Wetted Surface Area of Channel?

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

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

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