Continuity Equation for Compressible Fluids Calculator

✖The Mass Density of Fluid of a substance is its mass per unit volume.ⓘ Mass Density of Fluid [ρ_f]			+10% -10%
✖Cross-Sectional Area of Flow Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area of Flow Channel [A_cs]			+10% -10%
✖Average Velocity is defined as the mean of all different velocities.ⓘ Average Velocity [V_Avg]			+10% -10%

✖Constant A1 is the empirical constant given according to conditions in sutherland equation.ⓘ Continuity Equation for Compressible Fluids [A]

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Formula

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Continuity Equation for Compressible Fluids

Formula

`"A" = "ρ"_{"f"}*"A"_{"cs"}*"V"_{"Avg"}`

Example

`"991516.5"="997kg/m³"*"13m²"*"76.5m/s"`

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Continuity Equation for Compressible Fluids Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant A1 = Mass Density of Fluid*Cross-Sectional Area of Flow Channel*Average Velocity
A = ρ_f*A_cs*V_Avg
This formula uses 4 Variables

Variables Used

Constant A1 - Constant A1 is the empirical constant given according to conditions in sutherland equation.
Mass Density of Fluid - (Measured in Kilogram per Cubic Meter) - The Mass Density of Fluid of a substance is its mass per unit volume.
Cross-Sectional Area of Flow Channel - (Measured in Square Meter) - Cross-Sectional Area of Flow Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Average Velocity - (Measured in Meter per Second) - Average Velocity is defined as the mean of all different velocities.

STEP 1: Convert Input(s) to Base Unit

Mass Density of Fluid: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Cross-Sectional Area of Flow Channel: 13 Square Meter --> 13 Square Meter No Conversion Required
Average Velocity: 76.5 Meter per Second --> 76.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ρ_f*A_cs*V_Avg --> 997*13*76.5

Evaluating ... ...

A = 991516.5

STEP 3: Convert Result to Output's Unit

991516.5 --> No Conversion Required

FINAL ANSWER

991516.5 <-- Constant A1

(Calculation completed in 00.020 seconds)

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National Institute of Technology (NIT), Warangal

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< 18 Basic Relationship of Thermodynamics Calculators

Pressure for External Work Done by Gas in Adiabatic Process Introducing Pressure

Go Pressure 2 = -((Work Done*(Heat Capacity Ratio-1))-(Pressure 1*Specific Volume for Point 1))/Specific Volume for Point 2

Specific Volume for External Work Done in Adiabatic Process Introducing Pressure

Go Specific Volume for Point 1 = ((Work Done*(Heat Capacity Ratio-1))+(Pressure 2*Specific Volume for Point 2))/Pressure 1

Constant for External Work Done in Adiabatic process Introducing Pressure

Go Heat Capacity Ratio = ((1/Work Done)*(Pressure 1*Specific Volume for Point 1-Pressure 2*Specific Volume for Point 2))+1

External Work Done by Gas in Adiabatic Process Introducing Pressure

Go Work Done = (1/(Heat Capacity Ratio-1))*(Pressure 1*Specific Volume for Point 1-Pressure 2*Specific Volume for Point 2)

Potential Energy given Total Energy in Compressible Fluids

Go Potential Energy = Total Energy in Compressible Fluids-(Kinetic Energy+Pressure Energy+Molecular Energy)

Molecular Energy given Total Energy in Compressible Fluids

Go Molecular Energy = Total Energy in Compressible Fluids-(Kinetic Energy+Potential Energy+Pressure Energy)

Pressure Energy given Total Energy in Compressible Fluids

Go Pressure Energy = Total Energy in Compressible Fluids-(Kinetic Energy+Potential Energy+Molecular Energy)

Kinetic Energy given Total Energy in Compressible Fluids

Go Kinetic Energy = Total Energy in Compressible Fluids-(Potential Energy+Pressure Energy+Molecular Energy)

Total Energy in Compressible Fluids

Go Total Energy in Compressible Fluids = Kinetic Energy+Potential Energy+Pressure Energy+Molecular Energy

Absolute Temperature given Absolute Pressure

Go Absolute Temperature of Compressible Fluid = Absolute Pressure by Fluid Density/(Mass Density of Gas*Ideal Gas Constant)

Mass Density given Absolute Pressure

Go Mass Density of Gas = Absolute Pressure by Fluid Density/(Ideal Gas Constant*Absolute Temperature of Compressible Fluid)

Gas Constant given Absolute Pressure

Go Ideal Gas Constant = Absolute Pressure by Fluid Density/(Mass Density of Gas*Absolute Temperature of Compressible Fluid)

Absolute Pressure given Absolute Temperature

Go Absolute Pressure by Fluid Density = Mass Density of Gas*Ideal Gas Constant*Absolute Temperature of Compressible Fluid

Continuity Equation for Compressible Fluids

Go Constant A1 = Mass Density of Fluid*Cross-Sectional Area of Flow Channel*Average Velocity

Pressure given Constant

Go Pressure of Compressible Flow = Gas Constant a/Specific Volume

Change in Internal Energy given Total Heat Supplied to Gas

Go Change in Internal Energy = Total Heat-Work Done

External Work Done by Gas given Total Heat Supplied

Go Work Done = Total Heat-Change in Internal Energy

Total Heat Supplied to Gas

Go Total Heat = Change in Internal Energy+Work Done

Continuity Equation for Compressible Fluids Formula

Constant A1 = Mass Density of Fluid*Cross-Sectional Area of Flow Channel*Average Velocity
A = ρ_f*A_cs*V_Avg

What is meant by Mass Density?

The Mass Density of an object is defined as its mass per unit volume. This parameter can be expressed using several different units.

How to Calculate Continuity Equation for Compressible Fluids?

Continuity Equation for Compressible Fluids calculator uses Constant A1 = Mass Density of Fluid*Cross-Sectional Area of Flow Channel*Average Velocity to calculate the Constant A1, The Continuity Equation for Compressible Fluids is an equation that describes the transport of some quantity. It is particularly simple and powerful when applied to a conserved quantity, but it can be generalized to apply to any extensive quantity. Constant A1 is denoted by A symbol.

How to calculate Continuity Equation for Compressible Fluids using this online calculator? To use this online calculator for Continuity Equation for Compressible Fluids, enter Mass Density of Fluid (ρ_f), Cross-Sectional Area of Flow Channel (A_cs) & Average Velocity (V_Avg) and hit the calculate button. Here is how the Continuity Equation for Compressible Fluids calculation can be explained with given input values -> 991516.5 = 997*13*76.5.

FAQ

What is Continuity Equation for Compressible Fluids?

The Continuity Equation for Compressible Fluids is an equation that describes the transport of some quantity. It is particularly simple and powerful when applied to a conserved quantity, but it can be generalized to apply to any extensive quantity and is represented as A = ρ_f*A_cs*V_Avg or Constant A1 = Mass Density of Fluid*Cross-Sectional Area of Flow Channel*Average Velocity. The Mass Density of Fluid of a substance is its mass per unit volume, Cross-Sectional Area of Flow Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & Average Velocity is defined as the mean of all different velocities.

How to calculate Continuity Equation for Compressible Fluids?

The Continuity Equation for Compressible Fluids is an equation that describes the transport of some quantity. It is particularly simple and powerful when applied to a conserved quantity, but it can be generalized to apply to any extensive quantity is calculated using Constant A1 = Mass Density of Fluid*Cross-Sectional Area of Flow Channel*Average Velocity. To calculate Continuity Equation for Compressible Fluids, you need Mass Density of Fluid (ρ_f), Cross-Sectional Area of Flow Channel (A_cs) & Average Velocity (V_Avg). With our tool, you need to enter the respective value for Mass Density of Fluid, Cross-Sectional Area of Flow Channel & Average Velocity 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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