Wetted Perimeter of Trapezoidal Channel Section Calculator

✖Width of Trapezoidal Channel Section is the horizontal distance between its parallel sides or banks.ⓘ Width of Trapezoidal Channel Section [B]			+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 [d_f]			+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 Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Wetted Perimeter of Trapezoidal Channel Section [p]

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Formula

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Wetted Perimeter of Trapezoidal Channel Section

Formula

`"p" = ("B"+2*"d"_{"f"}*("θ"+cot("θ")))`

Example

`"14.98729m"=("100mm"+2*"3.3m"*("30°"+cot("30°")))`

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

Wetted Perimeter of Trapezoidal Channel Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wetted Perimeter of Channel = (Width of Trapezoidal Channel Section+2*Depth of Flow*(Theta+cot(Theta)))
p = (B+2*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 Perimeter of Channel - (Measured in Meter) - Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.
Width of Trapezoidal Channel Section - (Measured in Meter) - Width of Trapezoidal Channel Section is the horizontal distance between its parallel sides or banks.
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.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = (B+2*d_f*(θ+cot(θ))) --> (0.1+2*3.3*(0.5235987755982+cot(0.5235987755982)))

Evaluating ... ...

p = 14.9872872489027

STEP 3: Convert Result to Output's Unit

14.9872872489027 Meter --> No Conversion Required

FINAL ANSWER

14.9872872489027 ≈ 14.98729 Meter <-- Wetted Perimeter of 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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NSS College of Engineering (NSSCE), Palakkad

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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 Perimeter of Trapezoidal Channel Section Formula

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

Wetted Perimeter of Trapezoidal Channel Section calculator uses Wetted Perimeter of Channel = (Width of Trapezoidal Channel Section+2*Depth of Flow*(Theta+cot(Theta))) to calculate the Wetted Perimeter of Channel, The Wetted Perimeter of Trapezoidal Channel Section is defined as surface boundary in contact with water in section . Wetted Perimeter of Channel is denoted by p symbol.

How to calculate Wetted Perimeter of Trapezoidal Channel Section using this online calculator? To use this online calculator for Wetted Perimeter of Trapezoidal Channel Section, enter Width of Trapezoidal Channel Section (B), Depth of Flow (d_f) & Theta (θ) and hit the calculate button. Here is how the Wetted Perimeter of Trapezoidal Channel Section calculation can be explained with given input values -> 14.98729 = (0.1+2*3.3*(0.5235987755982+cot(0.5235987755982))).

FAQ

What is Wetted Perimeter of Trapezoidal Channel Section?

The Wetted Perimeter of Trapezoidal Channel Section is defined as surface boundary in contact with water in section and is represented as p = (B+2*d_f*(θ+cot(θ))) or Wetted Perimeter of Channel = (Width of Trapezoidal Channel Section+2*Depth of Flow*(Theta+cot(Theta))). Width of Trapezoidal Channel Section is the horizontal distance between its parallel sides or banks, 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 & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Wetted Perimeter of Trapezoidal Channel Section?

The Wetted Perimeter of Trapezoidal Channel Section is defined as surface boundary in contact with water in section is calculated using Wetted Perimeter of Channel = (Width of Trapezoidal Channel Section+2*Depth of Flow*(Theta+cot(Theta))). To calculate Wetted Perimeter of Trapezoidal Channel Section, you need Width of Trapezoidal Channel Section (B), Depth of Flow (d_f) & Theta (θ). With our tool, you need to enter the respective value for Width of Trapezoidal Channel Section, Depth of Flow & 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 Perimeter of Channel?

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

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

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