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Depth of Flow given Discharge through Critical Depth Flume Formula

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Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights. Check FAQs

d f = {(\frac{Q}{W t \cdot C d})}^{\frac{2}{3}}

d_f - Depth of Flow?Q - Discharge of Channel?W_t - Width of Throat?C_d - Coefficient of Discharge?

Depth of Flow given Discharge through Critical Depth Flume Example

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Here is how the Depth of Flow given Discharge through Critical Depth Flume equation looks like with Values.

Here is how the Depth of Flow given Discharge through Critical Depth Flume equation looks like with Units.

Here is how the Depth of Flow given Discharge through Critical Depth Flume equation looks like.

3.3241 = {(\frac{14}{3.5 \cdot 0.66})}^{\frac{2}{3}}

3.3241m = {(\frac{14m³/s}{3.5m \cdot 0.66})}^{\frac{2}{3}}

3.3241 = {(\frac{14}{3.5 \cdot 0.66})}^{\frac{2}{3}}

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Depth of Flow given Discharge through Critical Depth Flume Solution

Follow our step by step solution on how to calculate Depth of Flow given Discharge through Critical Depth Flume?

FIRST Step Consider the formula

d f = {(\frac{Q}{W t \cdot C d})}^{\frac{2}{3}}

Next Step Substitute values of Variables

∴

d f = {(\frac{14m³/s}{3.5m \cdot 0.66})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

d f = {(\frac{14}{3.5 \cdot 0.66})}^{\frac{2}{3}}

Next Step Evaluate

∴

d f = 3.3241251832925m

LAST Step Rounding Answer

∴

d f = 3.3241m

Depth of Flow given Discharge through Critical Depth Flume Formula Elements

Variables

Depth of Flow

Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

Symbol: d_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Flow

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

Width of Throat

Width of Throat of the parshall flume is denoted by W symbol.

Symbol: W_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Throat

Coefficient of Discharge

The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.2.

Formulas to find Coefficient of Discharge

Other formulas in Metering Flumes category

Go Discharge Flow through Channel

Q = (C d \cdot A i \cdot A f) \cdot (\sqrt{2 \cdot [g] \cdot \frac{h i - h o}{({A i}^{2}) - ({A f}^{2})}})

Go Coefficient of Discharge through Flume given Discharge Flow through Channel

C d = (\frac{Q}{A i \cdot A f} \cdot (\sqrt{\frac{({A i}^{2}) - ({A f}^{2})}{2 \cdot [g] \cdot (h i - h o)}}))

Go Head at Entrance given Discharge through Channel

h i = {(\frac{Q}{C d \cdot A i \cdot A f \cdot (\sqrt{2 \cdot \frac{[g]}{{A i}^{2} - {A f}^{2}}})})}^{2} + h o

Go Head at Entrance of Section given Discharge Flow through Channel

h o = h i - {(\frac{Q}{C d \cdot A i \cdot A f \cdot (\sqrt{2 \cdot \frac{[g]}{{A i}^{2} - {A f}^{2}}})})}^{2}

How to Evaluate Depth of Flow given Discharge through Critical Depth Flume?

Depth of Flow given Discharge through Critical Depth Flume evaluator uses Depth of Flow = (Discharge of Channel/(Width of Throat*Coefficient of Discharge))^(2/3) to evaluate the Depth of Flow, The Depth of Flow given Discharge through Critical Depth Flume is defined as the amount of liquid at any section in channel. Depth of Flow is denoted by d_f symbol.

How to evaluate Depth of Flow given Discharge through Critical Depth Flume using this online evaluator? To use this online evaluator for Depth of Flow given Discharge through Critical Depth Flume, enter Discharge of Channel (Q), Width of Throat (W_t) & Coefficient of Discharge (C_d) and hit the calculate button.

FAQs on Depth of Flow given Discharge through Critical Depth Flume

What is the formula to find Depth of Flow given Discharge through Critical Depth Flume?

The formula of Depth of Flow given Discharge through Critical Depth Flume is expressed as Depth of Flow = (Discharge of Channel/(Width of Throat*Coefficient of Discharge))^(2/3). Here is an example- 3.683906 = (14/(3.5*0.66))^(2/3).

How to calculate Depth of Flow given Discharge through Critical Depth Flume?

With Discharge of Channel (Q), Width of Throat (W_t) & Coefficient of Discharge (C_d) we can find Depth of Flow given Discharge through Critical Depth Flume using the formula - Depth of Flow = (Discharge of Channel/(Width of Throat*Coefficient of Discharge))^(2/3).

Can the Depth of Flow given Discharge through Critical Depth Flume be negative?

No, the Depth of Flow given Discharge through Critical Depth Flume, measured in Length cannot be negative.

Which unit is used to measure Depth of Flow given Discharge through Critical Depth Flume?

Depth of Flow given Discharge through Critical Depth Flume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Flow given Discharge through Critical Depth Flume can be measured.

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Depth of Flow given Discharge through Critical Depth Flume Formula

Depth of Flow given Discharge through Critical Depth Flume Example

Depth of Flow given Discharge through Critical Depth Flume Solution

Depth of Flow given Discharge through Critical Depth Flume Formula Elements

Other formulas in Metering Flumes category

How to Evaluate Depth of Flow given Discharge through Critical Depth Flume?

FAQs on Depth of Flow given Discharge through Critical Depth Flume

Variable Name