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Total Discharge for Whole Notch or Weir Formula

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Total discharge is defined as a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass. Check FAQs

Q = \frac{2}{3} \cdot C d \cdot L \cdot \sqrt{2 \cdot g} \cdot H^{\frac{3}{2}}

Q - Total discharge?C_d - Coefficient of Discharge?L - Length of Notch or Weir?g - Acceleration due to Gravity?H - Head of Water Over the Crest?

Total Discharge for Whole Notch or Weir Example

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Here is how the Total Discharge for Whole Notch or Weir equation looks like with Values.

Here is how the Total Discharge for Whole Notch or Weir equation looks like with Units.

Here is how the Total Discharge for Whole Notch or Weir equation looks like.

9.3502 = \frac{2}{3} \cdot 0.66 \cdot 0.6 \cdot \sqrt{2 \cdot 9.8} \cdot 4^{\frac{3}{2}}

9.3502m³/s = \frac{2}{3} \cdot 0.66 \cdot 0.6m \cdot \sqrt{2 \cdot 9.8m/s²} \cdot {4m}^{\frac{3}{2}}

9.3502 = \frac{2}{3} \cdot 0.66 \cdot 0.6 \cdot \sqrt{2 \cdot 9.8} \cdot 4^{\frac{3}{2}}

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Total Discharge for Whole Notch or Weir Solution

Follow our step by step solution on how to calculate Total Discharge for Whole Notch or Weir?

FIRST Step Consider the formula

Q = \frac{2}{3} \cdot C d \cdot L \cdot \sqrt{2 \cdot g} \cdot H^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

Q = \frac{2}{3} \cdot 0.66 \cdot 0.6m \cdot \sqrt{2 \cdot 9.8m/s²} \cdot {4m}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

Q = \frac{2}{3} \cdot 0.66 \cdot 0.6 \cdot \sqrt{2 \cdot 9.8} \cdot 4^{\frac{3}{2}}

Next Step Evaluate

∴

Q = 9.35022258558586m³/s

LAST Step Rounding Answer

∴

Q = 9.3502m³/s

Total Discharge for Whole Notch or Weir Formula Elements

Variables

Functions

Total discharge

Total discharge is defined as a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Total discharge

Coefficient of Discharge

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.

Formulas to find Coefficient of Discharge

Length of Notch or Weir

Length of Notch or Weir is defined as the measurement of the physical quantity of distance.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Notch or Weir

Acceleration due to Gravity

Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Head of Water Over the Crest

Head of Water Over the Crest is defined as the depth water flowing over the weir crest measured at some point in the weir pond.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head of Water Over the Crest

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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How to Evaluate Total Discharge for Whole Notch or Weir?

Total Discharge for Whole Notch or Weir evaluator uses Total discharge = 2/3*Coefficient of Discharge*Length of Notch or Weir*sqrt(2*Acceleration due to Gravity)*Head of Water Over the Crest^(3/2) to evaluate the Total discharge, The Total discharge for whole notch or weir formula is defined as a measure of the quantity of any fluid flow over unit time. Total discharge is denoted by Q symbol.

How to evaluate Total Discharge for Whole Notch or Weir using this online evaluator? To use this online evaluator for Total Discharge for Whole Notch or Weir, enter Coefficient of Discharge (C_d), Length of Notch or Weir (L), Acceleration due to Gravity (g) & Head of Water Over the Crest (H) and hit the calculate button.

FAQs on Total Discharge for Whole Notch or Weir

What is the formula to find Total Discharge for Whole Notch or Weir?

The formula of Total Discharge for Whole Notch or Weir is expressed as Total discharge = 2/3*Coefficient of Discharge*Length of Notch or Weir*sqrt(2*Acceleration due to Gravity)*Head of Water Over the Crest^(3/2). Here is an example- 9.350223 = 2/3*0.66*0.6*sqrt(2*9.8)*4^(3/2).

How to calculate Total Discharge for Whole Notch or Weir?

With Coefficient of Discharge (C_d), Length of Notch or Weir (L), Acceleration due to Gravity (g) & Head of Water Over the Crest (H) we can find Total Discharge for Whole Notch or Weir using the formula - Total discharge = 2/3*Coefficient of Discharge*Length of Notch or Weir*sqrt(2*Acceleration due to Gravity)*Head of Water Over the Crest^(3/2). This formula also uses Square Root (sqrt) function(s).

Can the Total Discharge for Whole Notch or Weir be negative?

Yes, the Total Discharge for Whole Notch or Weir, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Total Discharge for Whole Notch or Weir?

Total Discharge for Whole Notch or Weir is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Total Discharge for Whole Notch or Weir can be measured.

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