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

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Flow = Width of Trap Channel*Side slope of Trapezoidal Channel/(1-(Side slope of Trapezoidal Channel^2))
df = Btrap*ztrap/(1-(ztrap^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.
Width of Trap Channel - (Measured in Meter) - Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.
Side slope of Trapezoidal Channel - Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.
STEP 1: Convert Input(s) to Base Unit
Width of Trap Channel: 3.8105 Meter --> 3.8105 Meter No Conversion Required
Side slope of Trapezoidal Channel: 0.577 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
df = Btrap*ztrap/(1-(ztrap^2)) --> 3.8105*0.577/(1-(0.577^2))
Evaluating ... ...
df = 3.29598873283354
STEP 3: Convert Result to Output's Unit
3.29598873283354 Meter --> No Conversion Required
FINAL ANSWER
3.29598873283354 3.295989 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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Trapezoidal Section Calculators

Width of Channel given Depth of Flow in Efficient Channel
​ LaTeX ​ 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
​ LaTeX ​ Go 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 given Hydraulic Radius in Most Efficient Trapezoidal Channel
​ LaTeX ​ Go Depth of Flow = Hydraulic Radius of Channel*2
Hydraulic Radius of Most Efficient Channel
​ LaTeX ​ Go Hydraulic Radius of Channel = Depth of Flow/2

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

​LaTeX ​Go
Depth of Flow = Width of Trap Channel*Side slope of Trapezoidal Channel/(1-(Side slope of Trapezoidal Channel^2))
df = Btrap*ztrap/(1-(ztrap^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 when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant?

Depth of Flow when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant calculator uses Depth of Flow = Width of Trap Channel*Side slope of Trapezoidal Channel/(1-(Side slope of Trapezoidal Channel^2)) to calculate the Depth of Flow, The Depth of flow when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant is defined as the amount of water in channel at any point. Depth of Flow is denoted by df symbol.

How to calculate Depth of Flow when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant using this online calculator? To use this online calculator for Depth of Flow when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant, enter Width of Trap Channel (Btrap) & Side slope of Trapezoidal Channel (ztrap) and hit the calculate button. Here is how the Depth of Flow when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant calculation can be explained with given input values -> 3.295989 = 3.8105*0.577/(1-(0.577^2)).

FAQ

What is Depth of Flow when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant?
The Depth of flow when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant is defined as the amount of water in channel at any point and is represented as df = Btrap*ztrap/(1-(ztrap^2)) or Depth of Flow = Width of Trap Channel*Side slope of Trapezoidal Channel/(1-(Side slope of Trapezoidal Channel^2)). Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration & Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.
How to calculate Depth of Flow when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant?
The Depth of flow when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant is defined as the amount of water in channel at any point is calculated using Depth of Flow = Width of Trap Channel*Side slope of Trapezoidal Channel/(1-(Side slope of Trapezoidal Channel^2)). To calculate Depth of Flow when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant, you need Width of Trap Channel (Btrap) & Side slope of Trapezoidal Channel (ztrap). With our tool, you need to enter the respective value for Width of Trap Channel & Side slope 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 Width of Trap Channel & Side slope of Trapezoidal Channel. We can use 3 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 = (Side slope of Trapezoidal Channel*Wetted Surface Area of Trapezoidal Channel)^(1/2)
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