FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Critical Depth at Different Discharges Formula

GoCritical Depth in Control Section Formula

GoCritical Depth given Discharge through Control Section Formula

Fx Copy

LaTeX Copy

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)}^{2}}{g \cdot {(W t)}^{2}})}^{\frac{1}{3}}

d_c - Critical Depth?Q_e - Environmental Discharge?g - Acceleration due to Gravity?W_t - Width of Throat?

Critical Depth at Different Discharges Example

With values

With units

Only example

Here is how the Critical Depth at Different Discharges equation looks like with Values.

Here is how the Critical Depth at Different Discharges equation looks like with Units.

Here is how the Critical Depth at Different Discharges equation looks like.

2.6197 = {(\frac{{(39.82)}^{2}}{9.8 \cdot {(3)}^{2}})}^{\frac{1}{3}}

2.6197m = {(\frac{{(39.82m³/s)}^{2}}{9.8m/s² \cdot {(3m)}^{2}})}^{\frac{1}{3}}

2.6197 = {(\frac{{(39.82)}^{2}}{9.8 \cdot {(3)}^{2}})}^{\frac{1}{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Environmental Engineering » fx Critical Depth at Different Discharges

Critical Depth at Different Discharges Solution

Follow our step by step solution on how to calculate Critical Depth at Different Discharges?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c = {(\frac{{(39.82m³/s)}^{2}}{9.8m/s² \cdot {(3m)}^{2}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d c = {(\frac{{(39.82)}^{2}}{9.8 \cdot {(3)}^{2}})}^{\frac{1}{3}}

Next Step Evaluate

∴

d c = 2.61965827030927m

LAST Step Rounding Answer

∴

d c = 2.6197m

Critical Depth at Different Discharges 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

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

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

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 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 at Different Discharges?

Critical Depth at Different Discharges evaluator uses Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of Throat)^2))^(1/3) to evaluate the Critical Depth, The Critical Depth at Different Discharges formula is defined as the depth of flow where energy is at a minimum for a particular discharge. Critical Depth is denoted by d_c symbol.

How to evaluate Critical Depth at Different Discharges using this online evaluator? To use this online evaluator for Critical Depth at Different Discharges, enter Environmental Discharge (Q_e), Acceleration due to Gravity (g) & Width of Throat (W_t) and hit the calculate button.

FAQs on Critical Depth at Different Discharges

What is the formula to find Critical Depth at Different Discharges?

The formula of Critical Depth at Different Discharges is expressed as Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of Throat)^2))^(1/3). Here is an example- 2.627547 = ((39.82)^2/(9.8*(3)^2))^(1/3).

How to calculate Critical Depth at Different Discharges?

With Environmental Discharge (Q_e), Acceleration due to Gravity (g) & Width of Throat (W_t) we can find Critical Depth at Different Discharges using the formula - Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of Throat)^2))^(1/3).

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=(Depth/1.55)

Can the Critical Depth at Different Discharges be negative?

No, the Critical Depth at Different Discharges, measured in Length cannot be negative.

Which unit is used to measure Critical Depth at Different Discharges?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Critical Depth at Different Discharges Formula

​GoCritical Depth in Control Section Formula

​GoCritical Depth given Discharge through Control Section Formula

Critical Depth at Different Discharges Example

Critical Depth at Different Discharges Solution

Critical Depth at Different Discharges Formula Elements

Other Formulas to find Critical Depth

How to Evaluate Critical Depth at Different Discharges?

FAQs on Critical Depth at Different Discharges

Variable Name

GoCritical Depth in Control Section Formula

GoCritical Depth given Discharge through Control Section Formula