Wetted Area of Triangular Channel Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wetted Surface Area of Channel = (Depth of Flow^2)*(Theta+cot(Theta))
A = (df^2)*(θ+cot(θ))
This formula uses 1 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)
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.
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
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (df^2)*(θ+cot(θ)) --> (3.3^2)*(0.5235987755982+cot(0.5235987755982))
Evaluating ... ...
A = 24.5640239606895
STEP 3: Convert Result to Output's Unit
24.5640239606895 Square Meter --> No Conversion Required
FINAL ANSWER
24.5640239606895 24.56402 Square Meter <-- Wetted Surface Area of Channel
(Calculation completed in 00.019 seconds)

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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

Wetted Area of Triangular Channel Section Formula

Wetted Surface Area of Channel = (Depth of Flow^2)*(Theta+cot(Theta))
A = (df^2)*(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 Triangular Channel Section?

Wetted Area of Triangular Channel Section calculator uses Wetted Surface Area of Channel = (Depth of Flow^2)*(Theta+cot(Theta)) to calculate the Wetted Surface Area of Channel, The Wetted Area of Triangular Channel Section is defined as area which in contact with water in open channel flow. Wetted Surface Area of Channel is denoted by A symbol.

How to calculate Wetted Area of Triangular Channel Section using this online calculator? To use this online calculator for Wetted Area of Triangular Channel Section, enter Depth of Flow (df) & Theta (θ) and hit the calculate button. Here is how the Wetted Area of Triangular Channel Section calculation can be explained with given input values -> 24.56402 = (3.3^2)*(0.5235987755982+cot(0.5235987755982)).

FAQ

What is Wetted Area of Triangular Channel Section?
The Wetted Area of Triangular Channel Section is defined as area which in contact with water in open channel flow and is represented as A = (df^2)*(θ+cot(θ)) or Wetted Surface Area of Channel = (Depth of Flow^2)*(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 & 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 Triangular Channel Section?
The Wetted Area of Triangular Channel Section is defined as area which in contact with water in open channel flow is calculated using Wetted Surface Area of Channel = (Depth of Flow^2)*(Theta+cot(Theta)). To calculate Wetted Area of Triangular Channel Section, you need Depth of Flow (df) & Theta (θ). With our tool, you need to enter the respective value for 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 Surface Area of Channel?
In this formula, Wetted Surface Area of Channel uses Depth of Flow & 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*(Width of Trapezoidal Channel Section+Depth of Flow*(Theta+cot(Theta)))
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