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Discharge through Pipe in Elbowmeter Formula

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The Discharge of Pipe through Elbow meter refers to the fluid flowing per second through a channel or section of a pipe. Check FAQs

q = C d \cdot A \cdot (\sqrt{2 \cdot g \cdot h elbowmeter})

q - Discharge of Pipe Through Elbow meter?C_d - Coefficient of Discharge?A - Cross Sectional Area of Pipe?g - Acceleration due to Gravity?h_elbowmeter - Elbowmeter Height?

Discharge through Pipe in Elbowmeter Example

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Here is how the Discharge through Pipe in Elbowmeter equation looks like with Values.

Here is how the Discharge through Pipe in Elbowmeter equation looks like with Units.

Here is how the Discharge through Pipe in Elbowmeter equation looks like.

5.2269 = 0.66 \cdot 2 \cdot (\sqrt{2 \cdot 9.8 \cdot 0.8})

5.2269m³/s = 0.66 \cdot 2m² \cdot (\sqrt{2 \cdot 9.8m/s² \cdot 0.8m})

5.2269 = 0.66 \cdot 2 \cdot (\sqrt{2 \cdot 9.8 \cdot 0.8})

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Discharge through Pipe in Elbowmeter Solution

Follow our step by step solution on how to calculate Discharge through Pipe in Elbowmeter?

FIRST Step Consider the formula

q = C d \cdot A \cdot (\sqrt{2 \cdot g \cdot h elbowmeter})

Next Step Substitute values of Variables

∴

q = 0.66 \cdot 2m² \cdot (\sqrt{2 \cdot 9.8m/s² \cdot 0.8m})

Next Step Prepare to Evaluate

∴

q = 0.66 \cdot 2 \cdot (\sqrt{2 \cdot 9.8 \cdot 0.8})

Next Step Evaluate

∴

q = 5.22693332653096m³/s

LAST Step Rounding Answer

∴

q = 5.2269m³/s

Discharge through Pipe in Elbowmeter Formula Elements

Variables

Functions

Discharge of Pipe Through Elbow meter

The Discharge of Pipe through Elbow meter refers to the fluid flowing per second through a channel or section of a pipe.

Symbol: q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge of Pipe Through Elbow meter

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

Cross Sectional Area of Pipe

The Cross sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Cross Sectional Area of Pipe

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

Elbowmeter Height

The Elbowmeter Height refers to the ratio of the pressure difference at inlet and outlet of manometer and specific weight of that liquid.

Symbol: h_elbowmeter

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Elbowmeter Height

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 Elbow Meter category

Go Coefficient of Discharge of Elbow Meter given Discharge

C d = \frac{q}{A \cdot (\sqrt{2 \cdot g \cdot h elbowmeter})}

Go Cross-Sectional Area of Elbow Meter given Discharge

A = \frac{q}{C d \cdot (\sqrt{2 \cdot g \cdot h elbowmeter})}

Go Differential Pressure Head of Elbow Meter

H Pressurehead = \frac{{(\frac{q}{C d \cdot A})}^{2}}{2 \cdot 9.81}

How to Evaluate Discharge through Pipe in Elbowmeter?

Discharge through Pipe in Elbowmeter evaluator uses Discharge of Pipe Through Elbow meter = Coefficient of Discharge*Cross Sectional Area of Pipe*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height)) to evaluate the Discharge of Pipe Through Elbow meter, The Discharge through Pipe in Elbowmeter formula is defined as amount of liquid flowing through the pipe measured with respect to manometer. Discharge of Pipe Through Elbow meter is denoted by q symbol.

How to evaluate Discharge through Pipe in Elbowmeter using this online evaluator? To use this online evaluator for Discharge through Pipe in Elbowmeter, enter Coefficient of Discharge (C_d), Cross Sectional Area of Pipe (A), Acceleration due to Gravity (g) & Elbowmeter Height (h_elbowmeter) and hit the calculate button.

FAQs on Discharge through Pipe in Elbowmeter

What is the formula to find Discharge through Pipe in Elbowmeter?

The formula of Discharge through Pipe in Elbowmeter is expressed as Discharge of Pipe Through Elbow meter = Coefficient of Discharge*Cross Sectional Area of Pipe*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height)). Here is an example- 5.226933 = 0.66*2*(sqrt(2*9.8*0.8)).

How to calculate Discharge through Pipe in Elbowmeter?

With Coefficient of Discharge (C_d), Cross Sectional Area of Pipe (A), Acceleration due to Gravity (g) & Elbowmeter Height (h_elbowmeter) we can find Discharge through Pipe in Elbowmeter using the formula - Discharge of Pipe Through Elbow meter = Coefficient of Discharge*Cross Sectional Area of Pipe*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height)). This formula also uses Square Root (sqrt) function(s).

Can the Discharge through Pipe in Elbowmeter be negative?

No, the Discharge through Pipe in Elbowmeter, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge through Pipe in Elbowmeter?

Discharge through Pipe in Elbowmeter 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 Discharge through Pipe in Elbowmeter can be measured.

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