Theoretical discharge for Venturimeter Calculator

✖Area of cross section at inlet is denoted by the symbol A₁.ⓘ Area of cross section at inlet [A₁]			+10% -10%
✖Area of cross section at Throat of the channel.ⓘ Area of Cross section at Throat [A_t]			+10% -10%
✖The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due To Gravity [g]			+10% -10%
✖Venturi headt is the difference between pressure head at inlet and pressure head at the throat.ⓘ Venturi Head [h_venturi]			+10% -10%

✖Rate of flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.ⓘ Theoretical discharge for Venturimeter [Q]

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Theoretical discharge for Venturimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
Q = (A₁*A_t*(sqrt(2*g*h_venturi)))/(sqrt((A₁)^(2)-(A_t)^(2)))
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.
Area of cross section at inlet - (Measured in Square Meter) - Area of cross section at inlet is denoted by the symbol A₁.
Area of Cross section at Throat - (Measured in Square Meter) - Area of cross section at Throat of the channel.
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.
Venturi Head - (Measured in Meter) - Venturi headt is the difference between pressure head at inlet and pressure head at the throat.

STEP 1: Convert Input(s) to Base Unit

Area of cross section at inlet: 120 Square Centimeter --> 0.012 Square Meter (Check conversion here)
Area of Cross section at Throat: 25 Square Centimeter --> 0.0025 Square Meter (Check conversion here)
Acceleration Due To Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Venturi Head: 24 Millimeter --> 0.024 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (A₁*A_t*(sqrt(2*g*h_venturi)))/(sqrt((A₁)^(2)-(A_t)^(2))) --> (0.012*0.0025*(sqrt(2*9.8*0.024)))/(sqrt((0.012)^(2)-(0.0025)^(2)))

Evaluating ... ...

Q = 0.00175310975965599

STEP 3: Convert Result to Output's Unit

0.00175310975965599 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.00175310975965599 ≈ 0.001753 Cubic Meter per Second <-- Rate of flow

(Calculation completed in 00.004 seconds)

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Theoretical discharge for Venturimeter Formula

LaTeX Go

What is venturimeter?

Venturi meters are flow measurement instruments which use a converging section of pipe to give an increase in the flow velocity and a corresponding pressure drop from which the flowrate can be deduced. They have been in common use for many years, especially in the water supply industry.

How to Calculate Theoretical discharge for Venturimeter?

Theoretical discharge for Venturimeter calculator uses 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))) to calculate the Rate of flow, Theoretical discharge for Venturimeter is simply the rate of flow of a liquid through a venturimeter channel. Rate of flow is denoted by Q symbol.

How to calculate Theoretical discharge for Venturimeter using this online calculator? To use this online calculator for Theoretical discharge for Venturimeter, enter Area of cross section at inlet (A₁), Area of Cross section at Throat (A_t), Acceleration Due To Gravity (g) & Venturi Head (h_venturi) and hit the calculate button. Here is how the Theoretical discharge for Venturimeter calculation can be explained with given input values -> 0.001753 = (0.012*0.0025*(sqrt(2*9.8*0.024)))/(sqrt((0.012)^(2)-(0.0025)^(2))).

FAQ

What is Theoretical discharge for Venturimeter?

Theoretical discharge for Venturimeter is simply the rate of flow of a liquid through a venturimeter channel and is represented as Q = (A₁*A_t*(sqrt(2*g*h_venturi)))/(sqrt((A₁)^(2)-(A_t)^(2))) or 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))). Area of cross section at inlet is denoted by the symbol A₁, Area of cross section at Throat of the channel, The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force & Venturi headt is the difference between pressure head at inlet and pressure head at the throat.

How to calculate Theoretical discharge for Venturimeter?

Theoretical discharge for Venturimeter is simply the rate of flow of a liquid through a venturimeter channel is calculated using 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))). To calculate Theoretical discharge for Venturimeter, you need Area of cross section at inlet (A₁), Area of Cross section at Throat (A_t), Acceleration Due To Gravity (g) & Venturi Head (h_venturi). With our tool, you need to enter the respective value for Area of cross section at inlet, Area of Cross section at Throat, Acceleration Due To Gravity & Venturi Head 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 Area of cross section at inlet, Area of Cross section at Throat, Acceleration Due To Gravity & Venturi Head. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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