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Critical Depth given Discharge through Control Section Formula

GoCritical Depth in 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{Q e}{W t \cdot V c})

d_c - Critical Depth?Q_e - Environmental Discharge?W_t - Width of Throat?V_c - Critical Velocity?

Critical Depth given Discharge through Control Section Example

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Here is how the Critical Depth given Discharge through Control Section equation looks like with Values.

Here is how the Critical Depth given Discharge through Control Section equation looks like with Units.

Here is how the Critical Depth given Discharge through Control Section equation looks like.

2.6232 = (\frac{39.82}{3 \cdot 5.06})

2.6232m = (\frac{39.82m³/s}{3m \cdot 5.06m/s})

2.6232 = (\frac{39.82}{3 \cdot 5.06})

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Critical Depth given Discharge through Control Section Solution

Follow our step by step solution on how to calculate Critical Depth given Discharge through Control Section?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c = (\frac{39.82m³/s}{3m \cdot 5.06m/s})

Next Step Prepare to Evaluate

∴

d c = (\frac{39.82}{3 \cdot 5.06})

Next Step Evaluate

∴

d c = 2.6231884057971m

LAST Step Rounding Answer

∴

d c = 2.6232m

Critical Depth given Discharge through 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

Environmental Discharge

Environmental Discharge is the rate of flow of a liquid.

Symbol: Q_e

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Environmental Discharge

Width of Throat

Width of Throat is the narrowest section of a conduit or channel, such as in a venturi meter or flume.

Symbol: W_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Throat

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

Other Formulas to find Critical Depth

Go Critical Depth in Control Section

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

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 given Discharge through Control Section?

Critical Depth given Discharge through Control Section evaluator uses Critical Depth = (Environmental Discharge/(Width of Throat*Critical Velocity)) to evaluate the Critical Depth, The Critical Depth given Discharge through Control Section formula is defined as the measure of the depth of flow in an open channel at which the specific energy (the sum of the flow energy and the elevation head) is minimized for a given discharge. Critical Depth is denoted by d_c symbol.

How to evaluate Critical Depth given Discharge through Control Section using this online evaluator? To use this online evaluator for Critical Depth given Discharge through Control Section, enter Environmental Discharge (Q_e), Width of Throat (W_t) & Critical Velocity (V_c) and hit the calculate button.

FAQs on Critical Depth given Discharge through Control Section

What is the formula to find Critical Depth given Discharge through Control Section?

The formula of Critical Depth given Discharge through Control Section is expressed as Critical Depth = (Environmental Discharge/(Width of Throat*Critical Velocity)). Here is an example- 2.635046 = (39.82/(3*5.06)).

How to calculate Critical Depth given Discharge through Control Section?

With Environmental Discharge (Q_e), Width of Throat (W_t) & Critical Velocity (V_c) we can find Critical Depth given Discharge through Control Section using the formula - Critical Depth = (Environmental Discharge/(Width of Throat*Critical Velocity)).

What are the other ways to Calculate Critical Depth?

Here are the different ways to Calculate Critical Depth-

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

Can the Critical Depth given Discharge through Control Section be negative?

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

Which unit is used to measure Critical Depth given Discharge through Control Section?

Critical Depth given Discharge through 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 given Discharge through Control Section can be measured.

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Critical Depth given Discharge through Control Section Formula

​GoCritical Depth in Control Section Formula

​GoCritical Depth at Different Discharges Formula

Critical Depth given Discharge through Control Section Example

Critical Depth given Discharge through Control Section Solution

Critical Depth given Discharge through Control Section Formula Elements

Other Formulas to find Critical Depth

How to Evaluate Critical Depth given Discharge through Control Section?

FAQs on Critical Depth given Discharge through Control Section

Variable Name

GoCritical Depth in Control Section Formula

GoCritical Depth at Different Discharges Formula