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Coefficient of Discharge given Distance in X Direction from Center of Weir Formula

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Coefficient of Discharge is ratio of actual discharge to theoretical discharge. Check FAQs

C d = (\frac{2 \cdot W c \cdot V h}{x \cdot π \cdot \sqrt{2 \cdot g \cdot y}})

C_d - Coefficient of Discharge?W_c - Channel Width?V_h - Horizontal Flow Velocity?x - Distance in x Direction?g - Acceleration due to Gravity?y - Distance in y Direction?π - Archimedes' constant?

Coefficient of Discharge given Distance in X Direction from Center of Weir Example

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Here is how the Coefficient of Discharge given Distance in X Direction from Center of Weir equation looks like with Values.

Here is how the Coefficient of Discharge given Distance in X Direction from Center of Weir equation looks like with Units.

Here is how the Coefficient of Discharge given Distance in X Direction from Center of Weir equation looks like.

0.6779 = (\frac{2 \cdot 2 \cdot 10}{3 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8 \cdot 2}})

0.6779 = (\frac{2 \cdot 2m \cdot 10m/s}{3m \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8m/s² \cdot 2m}})

0.6779 = (\frac{2 \cdot 2 \cdot 10}{3 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8 \cdot 2}})

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Coefficient of Discharge given Distance in X Direction from Center of Weir Solution

Follow our step by step solution on how to calculate Coefficient of Discharge given Distance in X Direction from Center of Weir?

FIRST Step Consider the formula

C d = (\frac{2 \cdot W c \cdot V h}{x \cdot π \cdot \sqrt{2 \cdot g \cdot y}})

Next Step Substitute values of Variables

∴

C d = (\frac{2 \cdot 2m \cdot 10m/s}{3m \cdot π \cdot \sqrt{2 \cdot 9.8m/s² \cdot 2m}})

Next Step Substitute values of Constants

∴

C d = (\frac{2 \cdot 2m \cdot 10m/s}{3m \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8m/s² \cdot 2m}})

Next Step Prepare to Evaluate

∴

C d = (\frac{2 \cdot 2 \cdot 10}{3 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8 \cdot 2}})

Next Step Evaluate

∴

C d = 0.67786908896874

LAST Step Rounding Answer

∴

C d = 0.6779

Coefficient of Discharge given Distance in X Direction from Center of Weir Formula Elements

Variables

Constants

Functions

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

Open Variable

Channel Width

Channel Width is the horizontal distance between the banks of a channel, measured at right angles to the direction of flow.

Symbol: W_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Channel Width

Open Variable

Horizontal Flow Velocity

Horizontal Flow Velocity is the velocity for which the weir is designed.

Symbol: V_h

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Horizontal Flow Velocity

Open Variable

Distance in x Direction

Distance in x Direction is the direction measured from center of weir towards x direction.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance in x Direction

Open Variable

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

Open Variable

Distance in y Direction

Distance in y Direction is length measured from crest of weir towards y direction.

Symbol: y

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance in y Direction

Open Variable

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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)

Other formulas in Design of Proportioning Flow Weir category

Go Distance in X Direction from Center of Weir

x = (\frac{2 \cdot W c \cdot V h}{C d \cdot π \cdot \sqrt{2 \cdot g \cdot y}})

Go Distance in Y Direction from Crest of Weir

y = {(\frac{2 \cdot W c \cdot V h}{C d \cdot π \cdot x \cdot \sqrt{2 \cdot g}})}^{2}

Go Width of Channel given Distance in X Direction from Center of Weir

w = \frac{x}{\frac{2 \cdot V h}{C d \cdot π \cdot \sqrt{2 \cdot g \cdot y}}}

Go Horizontal Flow Velocity given Distance in X Direction from Center of Weir

V h = \frac{x}{\frac{2 \cdot W c}{C d \cdot π \cdot \sqrt{2 \cdot g \cdot y}}}

See More

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How to Evaluate Coefficient of Discharge given Distance in X Direction from Center of Weir?

Coefficient of Discharge given Distance in X Direction from Center of Weir evaluator uses Coefficient of Discharge = ((2*Channel Width*Horizontal Flow Velocity)/(Distance in x Direction*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction))) to evaluate the Coefficient of Discharge, The Coefficient of Discharge given Distance in X Direction from Center of Weir formula is defined as the ratio of actual discharge to theoretical discharge. Coefficient of Discharge is denoted by C_d symbol.

How to evaluate Coefficient of Discharge given Distance in X Direction from Center of Weir using this online evaluator? To use this online evaluator for Coefficient of Discharge given Distance in X Direction from Center of Weir, enter Channel Width (W_c), Horizontal Flow Velocity (V_h), Distance in x Direction (x), Acceleration due to Gravity (g) & Distance in y Direction (y) and hit the calculate button.

FAQs on Coefficient of Discharge given Distance in X Direction from Center of Weir

What is the formula to find Coefficient of Discharge given Distance in X Direction from Center of Weir?

The formula of Coefficient of Discharge given Distance in X Direction from Center of Weir is expressed as Coefficient of Discharge = ((2*Channel Width*Horizontal Flow Velocity)/(Distance in x Direction*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction))). Here is an example- 0.677869 = ((2*2*10)/(3*pi*sqrt(2*9.8*2))).

How to calculate Coefficient of Discharge given Distance in X Direction from Center of Weir?

With Channel Width (W_c), Horizontal Flow Velocity (V_h), Distance in x Direction (x), Acceleration due to Gravity (g) & Distance in y Direction (y) we can find Coefficient of Discharge given Distance in X Direction from Center of Weir using the formula - Coefficient of Discharge = ((2*Channel Width*Horizontal Flow Velocity)/(Distance in x Direction*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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