Density of Liquid in Pipe given Venturi Head Calculator

✖Weight per unit Volume of Manometer Fluid is obtained as the product of the density of manometric fluid and acceleration of gravity g.ⓘ Weight per unit Volume of Manometer Fluid [𝑤]			+10% -10%
✖Venturi headt is the difference between pressure head at inlet and pressure head at the throat.ⓘ Venturi Head [h_venturi]			+10% -10%
✖Length of Venturimeter is the measurement or extent of something from end to end.ⓘ Length of Venturimeter [L]			+10% -10%

✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Density of Liquid in Pipe given Venturi Head [γ_f]

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Formula

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Density of Liquid in Pipe given Venturi Head

Formula

`"γ"_{"f"} = "𝑤"/("h"_{"venturi"}/"L"+1)`

Example

`"9.810357kN/m³"="9888.84N/m³"/("24mm"/"3m"+1)`

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Density of Liquid in Pipe given Venturi Head Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Weight of Liquid = Weight per unit Volume of Manometer Fluid/(Venturi Head/Length of Venturimeter+1)
γ_f = 𝑤/(h_venturi/L+1)
This formula uses 4 Variables

Variables Used

Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
Weight per unit Volume of Manometer Fluid - (Measured in Newton per Cubic Meter) - Weight per unit Volume of Manometer Fluid is obtained as the product of the density of manometric fluid and acceleration of gravity g.
Venturi Head - (Measured in Meter) - Venturi headt is the difference between pressure head at inlet and pressure head at the throat.
Length of Venturimeter - (Measured in Meter) - Length of Venturimeter is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Weight per unit Volume of Manometer Fluid: 9888.84 Newton per Cubic Meter --> 9888.84 Newton per Cubic Meter No Conversion Required
Venturi Head: 24 Millimeter --> 0.024 Meter (Check conversion here)
Length of Venturimeter: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_f = 𝑤/(h_venturi/L+1) --> 9888.84/(0.024/3+1)

Evaluating ... ...

γ_f = 9810.35714285714

STEP 3: Convert Result to Output's Unit

9810.35714285714 Newton per Cubic Meter -->9.81035714285714 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

9.81035714285714 ≈ 9.810357 Kilonewton per Cubic Meter <-- Specific Weight of Liquid

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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Theoretical Discharge through Pipe

Go Theoretical Discharge = (Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]*Venturi Head)))/(sqrt((Cross Section Area 1)^(2)-(Cross Section Area 2)^(2)))

Venturi Head given Theoretical Discharge through Pipe

Go Venturi Head = ((Theoretical Discharge/(Cross Section Area 1*Cross Section Area 2))*(sqrt(((Cross Section Area 1)^2-(Cross Section Area 2)^2)/(2*[g]))))^2

Inlet Area given Theoretical Discharge

Go Cross Section Area 1 = sqrt(((Theoretical Discharge*Cross Section Area 2)^2)/((Theoretical Discharge)^2-(Cross Section Area 2^2*2*[g]*Venturi Head)))

Throat area given Theoretical Discharge

Go Cross Section Area 2 = sqrt((Cross Section Area 1*Theoretical Discharge)^2/((Cross Section Area 1^2*2*[g]*Venturi Head)+Theoretical Discharge^2))

Venturi Head given Difference in Levels of Manometric Liquid in Two Limbs

Go Venturi Head = Length of Venturimeter*(Weight per unit Volume of Manometer Fluid/Specific Weight of Liquid-1)

Density of Manometric Liquid given Venturi Head

Go Weight per unit Volume of Manometer Fluid = Specific Weight of Liquid*(Venturi Head/Length of Venturimeter+1)

Density of Liquid in Pipe given Venturi Head

Go Specific Weight of Liquid = Weight per unit Volume of Manometer Fluid/(Venturi Head/Length of Venturimeter+1)

Theoretical Discharge given Coefficient of Discharge

Go Theoretical Discharge = Actual Discharge/Coefficient of Discharge

Actual Discharge given Coefficient of Discharge

Go Actual Discharge = Theoretical Velocity*Coefficient of Discharge

Coefficient of Discharge given Discharges

Go Coefficient of Discharge = Actual Discharge/Theoretical Velocity

Density of Liquid in Pipe given Venturi Head Formula

Specific Weight of Liquid = Weight per unit Volume of Manometer Fluid/(Venturi Head/Length of Venturimeter+1)
γ_f = 𝑤/(h_venturi/L+1)

What is Manometer?

A manometer is a device that we use to measure the pressure of the pipelines (cab be of gas, water, liquid, etc.) Also, it is usually referred to as a U-shaped tube that is filled with a liquid.

How to Calculate Density of Liquid in Pipe given Venturi Head?

Density of Liquid in Pipe given Venturi Head calculator uses Specific Weight of Liquid = Weight per unit Volume of Manometer Fluid/(Venturi Head/Length of Venturimeter+1) to calculate the Specific Weight of Liquid, The Density of Liquid in Pipe given Venturi Head is defined as density of fluid used in pipe for flow. Specific Weight of Liquid is denoted by γ_f symbol.

How to calculate Density of Liquid in Pipe given Venturi Head using this online calculator? To use this online calculator for Density of Liquid in Pipe given Venturi Head, enter Weight per unit Volume of Manometer Fluid (𝑤), Venturi Head (h_venturi) & Length of Venturimeter (L) and hit the calculate button. Here is how the Density of Liquid in Pipe given Venturi Head calculation can be explained with given input values -> 0.00981 = 9888.84/(0.024/3+1).

FAQ

What is Density of Liquid in Pipe given Venturi Head?

The Density of Liquid in Pipe given Venturi Head is defined as density of fluid used in pipe for flow and is represented as γ_f = 𝑤/(h_venturi/L+1) or Specific Weight of Liquid = Weight per unit Volume of Manometer Fluid/(Venturi Head/Length of Venturimeter+1). Weight per unit Volume of Manometer Fluid is obtained as the product of the density of manometric fluid and acceleration of gravity g, Venturi headt is the difference between pressure head at inlet and pressure head at the throat & Length of Venturimeter is the measurement or extent of something from end to end.

How to calculate Density of Liquid in Pipe given Venturi Head?

The Density of Liquid in Pipe given Venturi Head is defined as density of fluid used in pipe for flow is calculated using Specific Weight of Liquid = Weight per unit Volume of Manometer Fluid/(Venturi Head/Length of Venturimeter+1). To calculate Density of Liquid in Pipe given Venturi Head, you need Weight per unit Volume of Manometer Fluid (𝑤), Venturi Head (h_venturi) & Length of Venturimeter (L). With our tool, you need to enter the respective value for Weight per unit Volume of Manometer Fluid, Venturi Head & Length of Venturimeter 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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