Cross-Sectional Area of Elbow Meter given Discharge Calculator

✖The Discharge of Pipe through Elbow meter refers to the fluid flowing per second through a channel or section of a pipe.ⓘ Discharge of Pipe Through Elbow meter [q]			+10% -10%
✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖The Elbowmeter Height refers to the ratio of the pressure difference at inlet and outlet of manometer and specific weight of that liquid.ⓘ Elbowmeter Height [h_elbowmeter]			+10% -10%

✖The Cross sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing.ⓘ Cross-Sectional Area of Elbow Meter given Discharge [A]

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Cross-Sectional Area of Elbow Meter given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross Sectional Area of Pipe = Discharge of Pipe Through Elbow meter/(Coefficient of Discharge*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height)))
A = q/(C_d*(sqrt(2*g*h_elbowmeter)))
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

Variables Used

Cross Sectional Area of Pipe - (Measured in Square Meter) - The Cross sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing.
Discharge of Pipe Through Elbow meter - (Measured in Cubic Meter per Second) - The Discharge of Pipe through Elbow meter refers to the fluid flowing per second through a channel or section of a pipe.
Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Elbowmeter Height - (Measured in Meter) - The Elbowmeter Height refers to the ratio of the pressure difference at inlet and outlet of manometer and specific weight of that liquid.

STEP 1: Convert Input(s) to Base Unit

Discharge of Pipe Through Elbow meter: 5 Cubic Meter per Second --> 5 Cubic Meter per Second No Conversion Required
Coefficient of Discharge: 0.66 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Elbowmeter Height: 0.8 Meter --> 0.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = q/(C_d*(sqrt(2*g*h_elbowmeter))) --> 5/(0.66*(sqrt(2*9.8*0.8)))

Evaluating ... ...

A = 1.91316769801555

STEP 3: Convert Result to Output's Unit

1.91316769801555 Square Meter --> No Conversion Required

FINAL ANSWER

1.91316769801555 ≈ 1.913168 Square Meter <-- Cross Sectional Area of Pipe

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Elbow Meter Calculators

Coefficient of Discharge of Elbow Meter given Discharge

LaTeX Go Coefficient of Discharge = Discharge of Pipe Through Elbow meter/(Cross Sectional Area of Pipe*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height)))

Cross-Sectional Area of Elbow Meter given Discharge

LaTeX Go Cross Sectional Area of Pipe = Discharge of Pipe Through Elbow meter/(Coefficient of Discharge*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height)))

Discharge through Pipe in Elbowmeter

LaTeX Go Discharge of Pipe Through Elbow meter = Coefficient of Discharge*Cross Sectional Area of Pipe*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height))

Differential Pressure Head of Elbow Meter

LaTeX Go Difference in Pressure Head = ((Discharge of Pipe Through Elbow meter/(Coefficient of Discharge*Cross Sectional Area of Pipe))^2)/(2*9.81)

Cross-Sectional Area of Elbow Meter given Discharge Formula

LaTeX Go

Cross Sectional Area of Pipe = Discharge of Pipe Through Elbow meter/(Coefficient of Discharge*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height)))
A = q/(C_d*(sqrt(2*g*h_elbowmeter)))

What is Coefficient of Discharge?

In a nozzle or other constriction, the discharge coefficient is the ratio of the actual discharge to the theoretical discharge, i.e., the ratio of the mass flow rate at the discharge end of the nozzle.

How to Calculate Cross-Sectional Area of Elbow Meter given Discharge?

Cross-Sectional Area of Elbow Meter given Discharge calculator uses Cross Sectional Area of Pipe = Discharge of Pipe Through Elbow meter/(Coefficient of Discharge*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height))) to calculate the Cross Sectional Area of Pipe, The Cross-Sectional Area of Elbow Meter given Discharge formula is defined as area of flow through pipe. Cross Sectional Area of Pipe is denoted by A symbol.

How to calculate Cross-Sectional Area of Elbow Meter given Discharge using this online calculator? To use this online calculator for Cross-Sectional Area of Elbow Meter given Discharge, enter Discharge of Pipe Through Elbow meter (q), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Elbowmeter Height (h_elbowmeter) and hit the calculate button. Here is how the Cross-Sectional Area of Elbow Meter given Discharge calculation can be explained with given input values -> 1.913168 = 5/(0.66*(sqrt(2*9.8*0.8))).

FAQ

What is Cross-Sectional Area of Elbow Meter given Discharge?

The Cross-Sectional Area of Elbow Meter given Discharge formula is defined as area of flow through pipe and is represented as A = q/(C_d*(sqrt(2*g*h_elbowmeter))) or Cross Sectional Area of Pipe = Discharge of Pipe Through Elbow meter/(Coefficient of Discharge*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height))). The Discharge of Pipe through Elbow meter refers to the fluid flowing per second through a channel or section of a pipe, The Coefficient of Discharge is ratio of actual discharge to theoretical discharge, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & The Elbowmeter Height refers to the ratio of the pressure difference at inlet and outlet of manometer and specific weight of that liquid.

How to calculate Cross-Sectional Area of Elbow Meter given Discharge?

The Cross-Sectional Area of Elbow Meter given Discharge formula is defined as area of flow through pipe is calculated using Cross Sectional Area of Pipe = Discharge of Pipe Through Elbow meter/(Coefficient of Discharge*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height))). To calculate Cross-Sectional Area of Elbow Meter given Discharge, you need Discharge of Pipe Through Elbow meter (q), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Elbowmeter Height (h_elbowmeter). With our tool, you need to enter the respective value for Discharge of Pipe Through Elbow meter, Coefficient of Discharge, Acceleration due to Gravity & Elbowmeter Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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