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Critical Depth given Maximum Discharge Formula

GoCritical Depth in Control Section Formula

GoCritical Depth given Discharge through Control Section 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 p}{W t \cdot V c})

d_c - Critical Depth?Q_p - Peak Discharge?W_t - Width of Throat?V_c - Critical Velocity?

Critical Depth given Maximum Discharge Example

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Here is how the Critical Depth given Maximum Discharge equation looks like with Values.

Here is how the Critical Depth given Maximum Discharge equation looks like with Units.

Here is how the Critical Depth given Maximum Discharge equation looks like.

2.6199 = (\frac{39.77}{3 \cdot 5.06})

2.6199m = (\frac{39.77m³/s}{3m \cdot 5.06m/s})

2.6199 = (\frac{39.77}{3 \cdot 5.06})

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Critical Depth given Maximum Discharge Solution

Follow our step by step solution on how to calculate Critical Depth given Maximum Discharge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c = (\frac{39.77m³/s}{3m \cdot 5.06m/s})

Next Step Prepare to Evaluate

∴

d c = (\frac{39.77}{3 \cdot 5.06})

Next Step Evaluate

∴

d c = 2.61989459815547m

LAST Step Rounding Answer

∴

d c = 2.6199m

Critical Depth given Maximum Discharge 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

Peak Discharge

Peak Discharge is the maximum volume flow rate passing a particular location during an event.

Symbol: Q_p

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Peak 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 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})

How to Evaluate Critical Depth given Maximum Discharge?

Critical Depth given Maximum Discharge evaluator uses Critical Depth = (Peak Discharge/(Width of Throat*Critical Velocity)) to evaluate the Critical Depth, The Critical Depth given Maximum Discharge formula is defined as the depth of flow where energy is at a minimum for a maximum discharge. Critical Depth is denoted by d_c symbol.

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

FAQs on Critical Depth given Maximum Discharge

What is the formula to find Critical Depth given Maximum Discharge?

The formula of Critical Depth given Maximum Discharge is expressed as Critical Depth = (Peak Discharge/(Width of Throat*Critical Velocity)). Here is an example- 0.263505 = (39.77/(3*5.06)).

How to calculate Critical Depth given Maximum Discharge?

With Peak Discharge (Q_p), Width of Throat (W_t) & Critical Velocity (V_c) we can find Critical Depth given Maximum Discharge using the formula - Critical Depth = (Peak 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/(Width of Throat*Critical Velocity))
Critical Depth=((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of Throat)^2))^(1/3)

Can the Critical Depth given Maximum Discharge be negative?

No, the Critical Depth given Maximum Discharge, measured in Length cannot be negative.

Which unit is used to measure Critical Depth given Maximum Discharge?

Critical Depth given Maximum Discharge 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 Maximum Discharge can be measured.

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Critical Depth given Maximum Discharge Formula

​GoCritical Depth in Control Section Formula

​GoCritical Depth given Discharge through Control Section Formula

Critical Depth given Maximum Discharge Example

Critical Depth given Maximum Discharge Solution

Critical Depth given Maximum Discharge Formula Elements

Other Formulas to find Critical Depth

How to Evaluate Critical Depth given Maximum Discharge?

FAQs on Critical Depth given Maximum Discharge

Variable Name

GoCritical Depth in Control Section Formula

GoCritical Depth given Discharge through Control Section Formula