Equation of Continuity for Compressible Fluids Calculator

✖The Cross-Sectional Area at Point 2 is the area of a specific section of a fluid flow, crucial for analyzing flow characteristics and behavior in fluid mechanics.ⓘ Cross-Sectional Area at Point 2 [A₂]			+10% -10%
✖The Velocity of the fluid at 2 is the speed at which the fluid moves at a specific point in a system, influencing flow behavior and pressure.ⓘ Velocity of the fluid at 2 [V₂]			+10% -10%
✖The Density at Point 2 is the mass per unit volume of a fluid at a specific location within a fluid system, influencing flow behavior and pressure.ⓘ Density at Point 2 [ρ₂]			+10% -10%
✖The Cross-Sectional Area at Point 1 is the area of a specific section of a fluid flow, crucial for analyzing flow characteristics and behavior in fluid mechanics.ⓘ Cross-Sectional Area at Point 1 [A₁]			+10% -10%
✖The Density at Point 1 is the mass per unit volume of fluid at a specific location, providing essential information for understanding fluid behavior in mechanics.ⓘ Density at Point 1 [ρ₁]			+10% -10%

✖The Velocity of the fluid at 1 is the speed at which the fluid moves at a specific point in a system, influencing flow behavior and pressure.ⓘ Equation of Continuity for Compressible Fluids [V₁]

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Equation of Continuity for Compressible Fluids Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2*Density at Point 2)/(Cross-Sectional Area at Point 1*Density at Point 1)
V₁ = (A₂*V₂*ρ₂)/(A₁*ρ₁)
This formula uses 6 Variables

Variables Used

Velocity of the fluid at 1 - (Measured in Meter per Second) - The Velocity of the fluid at 1 is the speed at which the fluid moves at a specific point in a system, influencing flow behavior and pressure.
Cross-Sectional Area at Point 2 - (Measured in Square Meter) - The Cross-Sectional Area at Point 2 is the area of a specific section of a fluid flow, crucial for analyzing flow characteristics and behavior in fluid mechanics.
Velocity of the fluid at 2 - (Measured in Meter per Second) - The Velocity of the fluid at 2 is the speed at which the fluid moves at a specific point in a system, influencing flow behavior and pressure.
Density at Point 2 - (Measured in Kilogram per Cubic Meter) - The Density at Point 2 is the mass per unit volume of a fluid at a specific location within a fluid system, influencing flow behavior and pressure.
Cross-Sectional Area at Point 1 - (Measured in Square Meter) - The Cross-Sectional Area at Point 1 is the area of a specific section of a fluid flow, crucial for analyzing flow characteristics and behavior in fluid mechanics.
Density at Point 1 - (Measured in Kilogram per Cubic Meter) - The Density at Point 1 is the mass per unit volume of fluid at a specific location, providing essential information for understanding fluid behavior in mechanics.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area at Point 2: 6 Square Meter --> 6 Square Meter No Conversion Required
Velocity of the fluid at 2: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Density at Point 2: 700 Kilogram per Cubic Meter --> 700 Kilogram per Cubic Meter No Conversion Required
Cross-Sectional Area at Point 1: 14 Square Meter --> 14 Square Meter No Conversion Required
Density at Point 1: 690 Kilogram per Cubic Meter --> 690 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁ = (A₂*V₂*ρ₂)/(A₁*ρ₁) --> (6*5*700)/(14*690)

Evaluating ... ...

V₁ = 2.17391304347826

STEP 3: Convert Result to Output's Unit

2.17391304347826 Meter per Second --> No Conversion Required

FINAL ANSWER

2.17391304347826 ≈ 2.173913 Meter per Second <-- Velocity of the fluid at 1

(Calculation completed in 00.004 seconds)

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Equation of Continuity for Compressible Fluids

LaTeX Go Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2*Density at Point 2)/(Cross-Sectional Area at Point 1*Density at Point 1)

Equation of Continuity for Incompressible Fluids

LaTeX Go Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2)/Cross-Sectional Area at Point 1

Cavitation Number

LaTeX Go Cavitation Number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2)

Bulk Modulus given Volume Stress and Strain

LaTeX Go Bulk Modulus given Volume Stress and Strain = Volume Stress/Volumetric Strain

Equation of Continuity for Compressible Fluids Formula

LaTeX Go

Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2*Density at Point 2)/(Cross-Sectional Area at Point 1*Density at Point 1)
V₁ = (A₂*V₂*ρ₂)/(A₁*ρ₁)

What is Equation of Continuity?

The equation of continuity is simply a mass balance of a fluid flowing through a stationary volume element. It states that the rate of mass accumulation in this volume element equals the rate of mass in minus the rate of mass out.

How to Calculate Equation of Continuity for Compressible Fluids?

Equation of Continuity for Compressible Fluids calculator uses Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2*Density at Point 2)/(Cross-Sectional Area at Point 1*Density at Point 1) to calculate the Velocity of the fluid at 1, Equation of Continuity for Compressible Fluids formula is defined as a principle that describes the conservation of mass in fluid flow, accounting for changes in fluid density and cross-sectional area. It illustrates how the velocity of a fluid varies with its density and the area through which it flows. Velocity of the fluid at 1 is denoted by V₁ symbol.

How to calculate Equation of Continuity for Compressible Fluids using this online calculator? To use this online calculator for Equation of Continuity for Compressible Fluids, enter Cross-Sectional Area at Point 2 (A₂), Velocity of the fluid at 2 (V₂), Density at Point 2 (ρ₂), Cross-Sectional Area at Point 1 (A₁) & Density at Point 1 (ρ₁) and hit the calculate button. Here is how the Equation of Continuity for Compressible Fluids calculation can be explained with given input values -> 2.173913 = (6*5*700)/(14*690).

FAQ

What is Equation of Continuity for Compressible Fluids?

Equation of Continuity for Compressible Fluids formula is defined as a principle that describes the conservation of mass in fluid flow, accounting for changes in fluid density and cross-sectional area. It illustrates how the velocity of a fluid varies with its density and the area through which it flows and is represented as V₁ = (A₂*V₂*ρ₂)/(A₁*ρ₁) or Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2*Density at Point 2)/(Cross-Sectional Area at Point 1*Density at Point 1). The Cross-Sectional Area at Point 2 is the area of a specific section of a fluid flow, crucial for analyzing flow characteristics and behavior in fluid mechanics, The Velocity of the fluid at 2 is the speed at which the fluid moves at a specific point in a system, influencing flow behavior and pressure, The Density at Point 2 is the mass per unit volume of a fluid at a specific location within a fluid system, influencing flow behavior and pressure, The Cross-Sectional Area at Point 1 is the area of a specific section of a fluid flow, crucial for analyzing flow characteristics and behavior in fluid mechanics & The Density at Point 1 is the mass per unit volume of fluid at a specific location, providing essential information for understanding fluid behavior in mechanics.

How to calculate Equation of Continuity for Compressible Fluids?

Equation of Continuity for Compressible Fluids formula is defined as a principle that describes the conservation of mass in fluid flow, accounting for changes in fluid density and cross-sectional area. It illustrates how the velocity of a fluid varies with its density and the area through which it flows is calculated using Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2*Density at Point 2)/(Cross-Sectional Area at Point 1*Density at Point 1). To calculate Equation of Continuity for Compressible Fluids, you need Cross-Sectional Area at Point 2 (A₂), Velocity of the fluid at 2 (V₂), Density at Point 2 (ρ₂), Cross-Sectional Area at Point 1 (A₁) & Density at Point 1 (ρ₁). With our tool, you need to enter the respective value for Cross-Sectional Area at Point 2, Velocity of the fluid at 2, Density at Point 2, Cross-Sectional Area at Point 1 & Density at Point 1 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 Velocity of the fluid at 1?

In this formula, Velocity of the fluid at 1 uses Cross-Sectional Area at Point 2, Velocity of the fluid at 2, Density at Point 2, Cross-Sectional Area at Point 1 & Density at Point 1. We can use 1 other way(s) to calculate the same, which is/are as follows -

Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2)/Cross-Sectional Area at Point 1

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