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Critical Depth in Control Section Formula

GoCritical Depth given Discharge through Control Section Formula

GoCritical Depth at Different Discharges Formula

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Critical Depth occurs when the flow in a channel has a minimum specific energy. Specific energy refers to the sum of the depth of flow and the velocity head. Check FAQs

d c = (\frac{{(V c)}^{2}}{g})

d_c - Critical Depth?V_c - Critical Velocity?g - Acceleration due to Gravity?

Critical Depth in Control Section Example

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Here is how the Critical Depth in Control Section equation looks like with Values.

Here is how the Critical Depth in Control Section equation looks like with Units.

Here is how the Critical Depth in Control Section equation looks like.

2.6126 = (\frac{{(5.06)}^{2}}{9.8})

2.6126m = (\frac{{(5.06m/s)}^{2}}{9.8m/s²})

2.6126 = (\frac{{(5.06)}^{2}}{9.8})

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Critical Depth in Control Section Solution

Follow our step by step solution on how to calculate Critical Depth in Control Section?

FIRST Step Consider the formula

d c = (\frac{{(V c)}^{2}}{g})

Next Step Substitute values of Variables

∴

d c = (\frac{{(5.06m/s)}^{2}}{9.8m/s²})

Next Step Prepare to Evaluate

∴

d c = (\frac{{(5.06)}^{2}}{9.8})

Next Step Evaluate

∴

d c = 2.61261224489796m

LAST Step Rounding Answer

∴

d c = 2.6126m

Critical Depth in Control Section Formula Elements

Variables

Critical Depth

Critical Depth occurs when the flow in a channel has a minimum specific energy. Specific energy refers to the sum of the depth of flow and the velocity head.

Symbol: d_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth

Critical Velocity

The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.

Symbol: V_c

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Critical Velocity

Acceleration due to Gravity

Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Other Formulas to find Critical Depth

Go Critical Depth given Discharge through Control Section

d c = (\frac{Q e}{W t \cdot V c})

Go Critical Depth at Different Discharges

d c = {(\frac{{(Q e)}^{2}}{g \cdot {(W t)}^{2}})}^{\frac{1}{3}}

Go Critical Depth given Depth of Parabolic Channel

d c = (\frac{d}{1.55})

Go Critical Depth given Maximum Discharge

d c = (\frac{Q p}{W t \cdot V c})

How to Evaluate Critical Depth in Control Section?

Critical Depth in Control Section evaluator uses Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity) to evaluate the Critical Depth, The Critical Depth in Control Section formula is defined as the measure of the depth of flow where energy is at a minimum for a particular discharge at control section. Critical Depth is denoted by d_c symbol.

How to evaluate Critical Depth in Control Section using this online evaluator? To use this online evaluator for Critical Depth in Control Section, enter Critical Velocity (V_c) & Acceleration due to Gravity (g) and hit the calculate button.

FAQs on Critical Depth in Control Section

What is the formula to find Critical Depth in Control Section?

The formula of Critical Depth in Control Section is expressed as Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity). Here is an example- 22.95918 = ((5.06)^2/9.8).

How to calculate Critical Depth in Control Section?

With Critical Velocity (V_c) & Acceleration due to Gravity (g) we can find Critical Depth in Control Section using the formula - Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity).

What are the other ways to Calculate Critical Depth?

Here are the different ways to Calculate Critical Depth-

Critical Depth=(Environmental Discharge/(Width of Throat*Critical Velocity))
Critical Depth=((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of Throat)^2))^(1/3)
Critical Depth=(Depth/1.55)

Can the Critical Depth in Control Section be negative?

No, the Critical Depth in Control Section, measured in Length cannot be negative.

Which unit is used to measure Critical Depth in Control Section?

Critical Depth in Control Section is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Critical Depth in Control Section can be measured.

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