Depth of Flow given Wetted Perimeter of Triangular Channel Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Flow = Wetted Perimeter of Channel/(2*(Theta+cot(Theta)))
df = p/(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
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 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.
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 Perimeter of Channel: 16 Meter --> 16 Meter No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
df = p/(2*(θ+cot(θ))) --> 16/(2*(0.5235987755982+cot(0.5235987755982)))
Evaluating ... ...
df = 3.54665017993065
STEP 3: Convert Result to Output's Unit
3.54665017993065 Meter --> No Conversion Required
FINAL ANSWER
3.54665017993065 3.54665 Meter <-- Depth of Flow
(Calculation completed in 00.004 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

Depth of Flow given Wetted Perimeter of Triangular Channel Section Formula

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

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 Depth of Flow given Wetted Perimeter of Triangular Channel Section?

Depth of Flow given Wetted Perimeter of Triangular Channel Section calculator uses Depth of Flow = Wetted Perimeter of Channel/(2*(Theta+cot(Theta))) to calculate the Depth of Flow, Depth of Flow given Wetted Perimeter of Triangular Channel Section is defined as amount of liquid in channel at any point. Depth of Flow is denoted by df symbol.

How to calculate Depth of Flow given Wetted Perimeter of Triangular Channel Section using this online calculator? To use this online calculator for Depth of Flow given Wetted Perimeter of Triangular Channel Section, enter Wetted Perimeter of Channel (p) & Theta (θ) and hit the calculate button. Here is how the Depth of Flow given Wetted Perimeter of Triangular Channel Section calculation can be explained with given input values -> 3.54665 = 16/(2*(0.5235987755982+cot(0.5235987755982))).

FAQ

What is Depth of Flow given Wetted Perimeter of Triangular Channel Section?
Depth of Flow given Wetted Perimeter of Triangular Channel Section is defined as amount of liquid in channel at any point and is represented as df = p/(2*(θ+cot(θ))) or Depth of Flow = Wetted Perimeter of Channel/(2*(Theta+cot(Theta))). Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body & 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 Perimeter of Triangular Channel Section?
Depth of Flow given Wetted Perimeter of Triangular Channel Section is defined as amount of liquid in channel at any point is calculated using Depth of Flow = Wetted Perimeter of Channel/(2*(Theta+cot(Theta))). To calculate Depth of Flow given Wetted Perimeter of Triangular Channel Section, you need Wetted Perimeter of Channel (p) & Theta (θ). With our tool, you need to enter the respective value for Wetted Perimeter 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 Perimeter of Channel & Theta. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Depth of Flow = sqrt(Wetted Surface Area of Channel/(Theta+cot(Theta)))
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