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

GoDepth of Flow given Hydraulic Radius in Most Efficient Trapezoidal Channel Formula

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

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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. Check FAQs

d f = \frac{B trap \cdot 0.5}{\sqrt{({z trap}^{2}) + 1} - z trap}

d_f - Depth of Flow?B_trap - Width of Trap Channel?z_trap - Side slope of Trapezoidal Channel?

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

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Here is how the Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope equation looks like with Values.

Here is how the Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope equation looks like with Units.

Here is how the Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope equation looks like.

3.299 = \frac{3.8105 \cdot 0.5}{\sqrt{({0.577}^{2}) + 1} - 0.577}

3.299m = \frac{3.8105m \cdot 0.5}{\sqrt{({0.577}^{2}) + 1} - 0.577}

3.299 = \frac{3.8105 \cdot 0.5}{\sqrt{({0.577}^{2}) + 1} - 0.577}

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Hydraulics and Waterworks » fx Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope

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

Follow our step by step solution on how to calculate Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope?

FIRST Step Consider the formula

d f = \frac{B trap \cdot 0.5}{\sqrt{({z trap}^{2}) + 1} - z trap}

Next Step Substitute values of Variables

∴

d f = \frac{3.8105m \cdot 0.5}{\sqrt{({0.577}^{2}) + 1} - 0.577}

Next Step Prepare to Evaluate

∴

d f = \frac{3.8105 \cdot 0.5}{\sqrt{({0.577}^{2}) + 1} - 0.577}

Next Step Evaluate

∴

d f = 3.29898885148509m

LAST Step Rounding Answer

∴

d f = 3.299m

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

Variables

Functions

Depth of Flow

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.

Symbol: d_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Flow

Width of Trap Channel

Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.

Symbol: B_trap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Trap Channel

Side slope of Trapezoidal Channel

Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.

Symbol: z_trap

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Side slope of Trapezoidal Channel

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Depth of Flow

Go Depth of Flow given Hydraulic Radius in Most Efficient Trapezoidal Channel

d f = R H \cdot 2

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

d f = B trap \cdot \frac{z trap}{1 - ({z trap}^{2})}

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

d f = {(z trap \cdot S Trap)}^{\frac{1}{2}}

Go Depth of Flow in most Efficient Channel in Trapezoidal Channel

d f = \frac{B trap}{\frac{2}{\sqrt{3}}}

Other formulas in Trapezoidal Section category

Go Width of Channel given Depth of Flow in Efficient Channel

B trap = (\sqrt{({z trap}^{2}) + 1}) \cdot 2 \cdot d f - 2 \cdot d f \cdot z trap

Go Hydraulic Radius of Most Efficient Channel

R H = \frac{d f}{2}

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

B trap = d f \cdot (\frac{1 - ({z trap}^{2})}{z trap})

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

S Trap = d f \cdot \frac{d f}{z trap}

How to Evaluate Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope?

Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope evaluator uses Depth of Flow = (Width of Trap Channel*0.5)/(sqrt((Side slope of Trapezoidal Channel^2)+1)-Side slope of Trapezoidal Channel) to evaluate the Depth of Flow, The Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope is defined as the amount of water present in channel at any point of flow. Depth of Flow is denoted by d_f symbol.

How to evaluate Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope using this online evaluator? To use this online evaluator for Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope, enter Width of Trap Channel (B_trap) & Side slope of Trapezoidal Channel (z_trap) and hit the calculate button.

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

What is the formula to find Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope?

The formula of Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope is expressed as Depth of Flow = (Width of Trap Channel*0.5)/(sqrt((Side slope of Trapezoidal Channel^2)+1)-Side slope of Trapezoidal Channel). Here is an example- 3.298989 = (3.8105*0.5)/(sqrt((0.577^2)+1)-0.577).

How to calculate Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope?

With Width of Trap Channel (B_trap) & Side slope of Trapezoidal Channel (z_trap) we can find Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope using the formula - Depth of Flow = (Width of Trap Channel*0.5)/(sqrt((Side slope of Trapezoidal Channel^2)+1)-Side slope of Trapezoidal Channel). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Depth of Flow?

Here are the different ways to Calculate Depth of Flow-

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

Can the Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope be negative?

No, the Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope, measured in Length cannot be negative.

Which unit is used to measure Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope?

Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope can be measured.

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