Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant Calculator

✖Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.ⓘ Side slope of Trapezoidal Channel [z_trap]			+10% -10%
✖Wetted Surface Area of Trapezoidal Channel [length^2] is the total area of outer surface in contact with the surrounding water.ⓘ Wetted Surface Area of Trapezoidal Channel [S_Trap]			+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 in Most Efficient Channel for Bottom Width is kept Constant [d_f]

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Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant

Formula

`"d"_{"f"} = ("z"_{"trap"}*"S"_{"Trap"})^(1/2)`

Example

`"3.298821m"=("0.577"*"18.86m²")^(1/2)`

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Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Flow = (Side slope of Trapezoidal Channel*Wetted Surface Area of Trapezoidal Channel)^(1/2)
d_f = (z_trap*S_Trap)^(1/2)
This formula uses 3 Variables

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.
Side slope of Trapezoidal Channel - Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.
Wetted Surface Area of Trapezoidal Channel - (Measured in Square Meter) - Wetted Surface Area of Trapezoidal Channel [length^2] is the total area of outer surface in contact with the surrounding water.

STEP 1: Convert Input(s) to Base Unit

Side slope of Trapezoidal Channel: 0.577 --> No Conversion Required
Wetted Surface Area of Trapezoidal Channel: 18.86 Square Meter --> 18.86 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_f = (z_trap*S_Trap)^(1/2) --> (0.577*18.86)^(1/2)

Evaluating ... ...

d_f = 3.29882100150948

STEP 3: Convert Result to Output's Unit

3.29882100150948 Meter --> No Conversion Required

FINAL ANSWER

3.29882100150948 ≈ 3.298821 Meter <-- Depth of Flow

(Calculation completed in 00.020 seconds)

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< 13 Trapezoidal Section Calculators

Width of Channel given Depth of Flow in Efficient Channel

Go Width of Trap Channel = (sqrt((Side slope of Trapezoidal Channel^2)+1))*2*Depth of Flow-2*Depth of Flow*Side slope of Trapezoidal Channel

Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope

Go Depth of Flow = (Width of Trap Channel*0.5)/(sqrt((Side slope of Trapezoidal Channel^2)+1)-Side slope of Trapezoidal Channel)

Width of Channel in Most Efficient Channel when Bottom width is kept constant

Go Width of Trap Channel = Depth of Flow*((1-(Side slope of Trapezoidal Channel^2))/Side slope of Trapezoidal Channel)

Depth of Flow when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant

Go Depth of Flow = Width of Trap Channel*Side slope of Trapezoidal Channel/(1-(Side slope of Trapezoidal Channel^2))

Side Slope of Section given Wetted Area for Bottom Width is kept Constant

Go Side slope of Trapezoidal Channel = Depth of Flow*Depth of Flow/Wetted Surface Area of Trapezoidal Channel

Wetted Area in Most Efficient Channel for Bottom Width is kept Constant

Go Wetted Surface Area of Trapezoidal Channel = Depth of Flow*Depth of Flow/Side slope of Trapezoidal Channel

Side Slope of Section for Depth of Flow is kept Constant

Go Side slope of Trapezoidal Channel = 1/sqrt(3)*Depth of Flow/Depth of Flow

Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant

Go Depth of Flow = (Side slope of Trapezoidal Channel*Wetted Surface Area of Trapezoidal Channel)^(1/2)

Depth of Flow in most Efficient Channel in Trapezoidal Channel

Go Depth of Flow = Width of Trap Channel/(2/sqrt(3))

Width of Channel in most Efficient Channel sections

Go Width of Trap Channel = (2/sqrt(3))*Depth of Flow

Width of Channel in most Efficient Channels section

Go Width of Trap Channel = (2/sqrt(3))*Depth of Flow

Depth of Flow given Hydraulic Radius in Most Efficient Trapezoidal Channel

Go Depth of Flow = Hydraulic Radius of Channel*2

Hydraulic Radius of Most Efficient Channel

Go Hydraulic Radius of Channel = Depth of Flow/2

Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant Formula

Depth of Flow = (Side slope of Trapezoidal Channel*Wetted Surface Area of Trapezoidal Channel)^(1/2)
d_f = (z_trap*S_Trap)^(1/2)

What is Open Channel Flow?

Open-channel flow, a branch of hydraulics and fluid mechanics, is a type of liquid flow within a conduit or in channel with a free surface, known as a channel. The other type of flow within a conduit is pipe flow. These two types of flow are similar in many ways but differ in one important respect: the free surface.

How to Calculate Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant?

Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant calculator uses Depth of Flow = (Side slope of Trapezoidal Channel*Wetted Surface Area of Trapezoidal Channel)^(1/2) to calculate the Depth of Flow, The Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant is defined as the amount of water in section. Depth of Flow is denoted by d_f symbol.

How to calculate Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant using this online calculator? To use this online calculator for Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant, enter Side slope of Trapezoidal Channel (z_trap) & Wetted Surface Area of Trapezoidal Channel (S_Trap) and hit the calculate button. Here is how the Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant calculation can be explained with given input values -> 3.298821 = (0.577*18.86)^(1/2).

FAQ

What is Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant?

The Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant is defined as the amount of water in section and is represented as d_f = (z_trap*S_Trap)^(1/2) or Depth of Flow = (Side slope of Trapezoidal Channel*Wetted Surface Area of Trapezoidal Channel)^(1/2). Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio & Wetted Surface Area of Trapezoidal Channel [length^2] is the total area of outer surface in contact with the surrounding water.

How to calculate Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant?

The Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant is defined as the amount of water in section is calculated using Depth of Flow = (Side slope of Trapezoidal Channel*Wetted Surface Area of Trapezoidal Channel)^(1/2). To calculate Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant, you need Side slope of Trapezoidal Channel (z_trap) & Wetted Surface Area of Trapezoidal Channel (S_Trap). With our tool, you need to enter the respective value for Side slope of Trapezoidal Channel & Wetted Surface Area of Trapezoidal Channel 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 Side slope of Trapezoidal Channel & Wetted Surface Area of Trapezoidal Channel. We can use 4 other way(s) to calculate the same, which is/are as follows -

Depth of Flow = (Width of Trap Channel*0.5)/(sqrt((Side slope of Trapezoidal Channel^2)+1)-Side slope of Trapezoidal Channel)
Depth of Flow = Hydraulic Radius of Channel*2
Depth of Flow = Width of Trap Channel*Side slope of Trapezoidal Channel/(1-(Side slope of Trapezoidal Channel^2))
Depth of Flow = Width of Trap Channel/(2/sqrt(3))

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