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Critical Depth for Parabolic Channel Formula

GoCritical Depth of Flow given Critical Energy for Parabolic Channel Formula

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The Critical Depth of Parabolic Channel is defined as the depth of flow where energy is at a minimum for a particular discharge. Check FAQs

h p = {(3.375 \cdot \frac{{(\frac{Q}{S})}^{2}}{[g]})}^{\frac{1}{4}}

h_p - Critical Depth of Parabolic Channel?Q - Discharge of Channel?S - Bed Slope?[g] - Gravitational acceleration on Earth?

Critical Depth for Parabolic Channel Example

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Here is how the Critical Depth for Parabolic Channel equation looks like with Values.

Here is how the Critical Depth for Parabolic Channel equation looks like with Units.

Here is how the Critical Depth for Parabolic Channel equation looks like.

143.2921 = {(3.375 \cdot \frac{{(\frac{14}{0.0004})}^{2}}{9.8066})}^{\frac{1}{4}}

143.2921m = {(3.375 \cdot \frac{{(\frac{14m³/s}{0.0004})}^{2}}{9.8066m/s²})}^{\frac{1}{4}}

143.2921 = {(3.375 \cdot \frac{{(\frac{14}{0.0004})}^{2}}{9.8066})}^{\frac{1}{4}}

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Critical Depth for Parabolic Channel Solution

Follow our step by step solution on how to calculate Critical Depth for Parabolic Channel?

FIRST Step Consider the formula

h p = {(3.375 \cdot \frac{{(\frac{Q}{S})}^{2}}{[g]})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

h p = {(3.375 \cdot \frac{{(\frac{14m³/s}{0.0004})}^{2}}{[g]})}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

h p = {(3.375 \cdot \frac{{(\frac{14m³/s}{0.0004})}^{2}}{9.8066m/s²})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

h p = {(3.375 \cdot \frac{{(\frac{14}{0.0004})}^{2}}{9.8066})}^{\frac{1}{4}}

Next Step Evaluate

∴

h p = 143.292116529795m

LAST Step Rounding Answer

∴

h p = 143.2921m

Critical Depth for Parabolic Channel Formula Elements

Variables

Constants

Critical Depth of Parabolic Channel

The Critical Depth of Parabolic Channel is defined as the depth of flow where energy is at a minimum for a particular discharge.

Symbol: h_p

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Critical Depth of Parabolic Channel

Discharge of Channel

Discharge of Channel is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge of Channel

Bed Slope

Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Critical Depth of Parabolic Channel

Go Critical Depth of Flow given Critical Energy for Parabolic Channel

h p = \frac{E c}{\frac{4}{3}}

Other formulas in Critical Flow and its Computation category

Go Critical Section Factor

Z = \frac{Q}{\sqrt{[g]}}

Go Discharge given Critical Section Factor

Q = Z \cdot \sqrt{[g]}

Go Critical Depth for Rectangular Channel

h r = {(\frac{q^{2}}{[g]})}^{\frac{1}{3}}

Go Discharge per unit Width given Critical Depth for Rectangular Channel

q = {(({h r}^{3}) \cdot [g])}^{\frac{1}{2}}

How to Evaluate Critical Depth for Parabolic Channel?

Critical Depth for Parabolic Channel evaluator uses Critical Depth of Parabolic Channel = (3.375*((Discharge of Channel/Bed Slope)^2)/[g])^(1/4) to evaluate the Critical Depth of Parabolic Channel, The Critical Depth for Parabolic Channel is defined as the flow condition where water depth reaches its minimum for a given discharge, ensuring efficient hydraulic conveyance. Critical Depth of Parabolic Channel is denoted by h_p symbol.

How to evaluate Critical Depth for Parabolic Channel using this online evaluator? To use this online evaluator for Critical Depth for Parabolic Channel, enter Discharge of Channel (Q) & Bed Slope (S) and hit the calculate button.

FAQs on Critical Depth for Parabolic Channel

What is the formula to find Critical Depth for Parabolic Channel?

The formula of Critical Depth for Parabolic Channel is expressed as Critical Depth of Parabolic Channel = (3.375*((Discharge of Channel/Bed Slope)^2)/[g])^(1/4). Here is an example- 143.2921 = (3.375*((14/0.0004)^2)/[g])^(1/4).

How to calculate Critical Depth for Parabolic Channel?

With Discharge of Channel (Q) & Bed Slope (S) we can find Critical Depth for Parabolic Channel using the formula - Critical Depth of Parabolic Channel = (3.375*((Discharge of Channel/Bed Slope)^2)/[g])^(1/4). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Critical Depth of Parabolic Channel?

Here are the different ways to Calculate Critical Depth of Parabolic Channel-

Critical Depth of Parabolic Channel=Critical energy of Parabolic Channel/(4/3)

Can the Critical Depth for Parabolic Channel be negative?

Yes, the Critical Depth for Parabolic Channel, measured in Length can be negative.

Which unit is used to measure Critical Depth for Parabolic Channel?

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

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