Cross Sectional Area of Elbow Meter given Discharge Calculator

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

✖Cross Sectional Area of Pipe is 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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Formula

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Cross Sectional Area of Elbow Meter given Discharge

Formula

`"A" = "q"/("C"_{"d"}*(sqrt(2*"G"*"h"_{"elbowmeter"})))`

Example

`"1.912192m²"="5m³/s"/("0.66"*(sqrt(2*"9.81m/s²"*"0.8m")))`

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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) - Cross Sectional Area of Pipe is the area of the pipe through which the given liquid is flowing.
Discharge of Pipe Through Elbow meter - (Measured in Cubic Meter per Second) - Discharge of Pipe through Elbow meter is the fluid flowing per second through a channel or section of a pipe.
Coefficient of Discharge - 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 the acceleration gained by an object due to gravitational force.
Elbowmeter Height - (Measured in Meter) - Elbowmeter height is defined as 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: 9.81 Meter per Square Second --> 9.81 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*9.81*0.8)))

Evaluating ... ...

A = 1.91219233843239

STEP 3: Convert Result to Output's Unit

1.91219233843239 Square Meter --> No Conversion Required

FINAL ANSWER

1.91219233843239 ≈ 1.912192 Square Meter <-- Cross Sectional Area of Pipe

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Equations of Motion and Energy Equation » Elbow Meter » Cross Sectional Area of Elbow Meter given Discharge

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< 4 Elbow Meter Calculators

Coefficient of Discharge of Elbow Meter given Discharge

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

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

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

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

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 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 -> 1.912192 = 5/(0.66*(sqrt(2*9.81*0.8))).

FAQ

What is Cross Sectional Area of Elbow Meter given Discharge?

The Cross Sectional Area of Elbow Meter given Discharge 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))). Discharge of Pipe through Elbow meter is the fluid flowing per second through a channel or section of a pipe, Coefficient of Discharge is ratio of Actual discharge to theoretical discharge, Acceleration due to Gravity is the acceleration gained by an object due to gravitational force & Elbowmeter height is defined as 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 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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