Discharge through Elbow Meter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate of flow = Coefficient of Discharge of Elbow meter*Cross sectional area of Pipe*(sqrt(2*Acceleration Due To Gravity*Elbowmeter Height))
Q = Cd*A*(sqrt(2*g*helbowmeter))
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
Rate of flow - (Measured in Cubic Meter per Second) - Rate of flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.
Coefficient of Discharge of Elbow meter - Coefficient of Discharge of Elbow meter is defined as reduction factor for theoretical discharge.
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.
Acceleration Due To Gravity - (Measured in Meter per Square Second) - The Acceleration Due To Gravity is acceleration gained by an object because of 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
Coefficient of Discharge of Elbow meter: 21 --> No Conversion Required
Cross sectional area of Pipe: 18 Square Centimeter --> 0.0018 Square Meter (Check conversion here)
Acceleration Due To Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Elbowmeter Height: 38 Meter --> 38 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = Cd*A*(sqrt(2*g*helbowmeter)) --> 21*0.0018*(sqrt(2*9.8*38))
Evaluating ... ...
Q = 1.03160071345458
STEP 3: Convert Result to Output's Unit
1.03160071345458 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
1.03160071345458 1.031601 Cubic Meter per Second <-- Rate of flow
(Calculation completed in 00.020 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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9 Liquid Properties Measuring Equipments Calculators

Theoretical discharge for Venturimeter
Go Rate of flow = (Area of cross section at inlet*Area of Cross section at Throat*(sqrt(2*Acceleration Due To Gravity*Venturi Head)))/(sqrt((Area of cross section at inlet)^(2)-(Area of Cross section at Throat)^(2)))
Capillarity through Circular Tube Inserted in Liquid of S1 above Liquid of S2
Go Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific weight of liquid*Radius Of Circular Tube*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2))
Height of liquid in tube
Go Height of Liquid in Tube = (4*Surface Tension*cos(Theta))/(Density of Liquid*Acceleration Due To Gravity*Diameter of Tube)
Capillarity through Annular Space
Go Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*(Outer Radius Of Tube-Inner Radius Of Tube))
Discharge through Elbow Meter
Go Rate of flow = Coefficient of Discharge of Elbow meter*Cross sectional area of Pipe*(sqrt(2*Acceleration Due To Gravity*Elbowmeter Height))
Capillarity through Parallel Plates
Go Capillarity Height = (2*Surface Tension*cos(Theta))/(Specific Weight*Uniform Gap between Vertical Plates)
U-Tube Manometer equation
Go Pressure a = (Specific Weight of Manometer liquid*Height of Manometer Liquid)-(Specific Weight 1*Height of Column 1)
Height of Capillary Rise
Go Capillarity Height = (4*Surface Tension*cos(Theta))/(Specific Weight*Diameter of Tube)
Angle of Inclined Manometer
Go Angle = asin(1/Sensitivity)

Discharge through Elbow Meter Formula

Rate of flow = Coefficient of Discharge of Elbow meter*Cross sectional area of Pipe*(sqrt(2*Acceleration Due To Gravity*Elbowmeter Height))
Q = Cd*A*(sqrt(2*g*helbowmeter))

what is an elbowmeter?

Elbow meter is one of the common flow measurement systems which are used to determine the pressure difference occurring as a fluid flows change by resistance. This differential pressure exists when a flowing changes direction due to a pipe turn.

How to Calculate Discharge through Elbow Meter?

Discharge through Elbow Meter calculator uses Rate of flow = Coefficient of Discharge of Elbow meter*Cross sectional area of Pipe*(sqrt(2*Acceleration Due To Gravity*Elbowmeter Height)) to calculate the Rate of flow, Discharge through Elbow Meter is defined as the rate of flow of the liquid at either inlet or outlet of an elbow meter. Rate of flow is denoted by Q symbol.

How to calculate Discharge through Elbow Meter using this online calculator? To use this online calculator for Discharge through Elbow Meter, enter Coefficient of Discharge of Elbow meter (Cd), Cross sectional area of Pipe (A), Acceleration Due To Gravity (g) & Elbowmeter Height (helbowmeter) and hit the calculate button. Here is how the Discharge through Elbow Meter calculation can be explained with given input values -> 1.031601 = 21*0.0018*(sqrt(2*9.8*38)).

FAQ

What is Discharge through Elbow Meter?
Discharge through Elbow Meter is defined as the rate of flow of the liquid at either inlet or outlet of an elbow meter and is represented as Q = Cd*A*(sqrt(2*g*helbowmeter)) or Rate of flow = Coefficient of Discharge of Elbow meter*Cross sectional area of Pipe*(sqrt(2*Acceleration Due To Gravity*Elbowmeter Height)). Coefficient of Discharge of Elbow meter is defined as reduction factor for theoretical discharge, Cross sectional area of Pipe is the area of the pipe through which the given liquid is flowing, The Acceleration Due To Gravity is acceleration gained by an object because of 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 Discharge through Elbow Meter?
Discharge through Elbow Meter is defined as the rate of flow of the liquid at either inlet or outlet of an elbow meter is calculated using Rate of flow = Coefficient of Discharge of Elbow meter*Cross sectional area of Pipe*(sqrt(2*Acceleration Due To Gravity*Elbowmeter Height)). To calculate Discharge through Elbow Meter, you need Coefficient of Discharge of Elbow meter (Cd), Cross sectional area of Pipe (A), Acceleration Due To Gravity (g) & Elbowmeter Height (helbowmeter). With our tool, you need to enter the respective value for Coefficient of Discharge of Elbow meter, Cross sectional area of Pipe, 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.
How many ways are there to calculate Rate of flow?
In this formula, Rate of flow uses Coefficient of Discharge of Elbow meter, Cross sectional area of Pipe, Acceleration Due To Gravity & Elbowmeter Height. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Rate of flow = (Area of cross section at inlet*Area of Cross section at Throat*(sqrt(2*Acceleration Due To Gravity*Venturi Head)))/(sqrt((Area of cross section at inlet)^(2)-(Area of Cross section at Throat)^(2)))
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