Cavitation Number Calculator

✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+10% -10%
✖The Vapour pressure is a measure of the tendency of a material to change into the gaseous or vapour state, and it increases with temperature.ⓘ Vapour Pressure [P_v]			+10% -10%
✖The Mass Density of a substance is its mass per unit volume.ⓘ Mass Density [ρ_m]			+10% -10%
✖Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Velocity [u_f]			+10% -10%

✖Cavitation number is used to evaluate weather a fluid system will cause caviation or not.ⓘ Cavitation Number [σ_c]

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Formula

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Cavitation Number

Formula

`"σ"_{"c"} = ("p"-"P"_{"v"})/("ρ"_{"m"}*("u"_{"f"}^2)/2)`

Example

`"0.011061"=("800Pa"-"6Pa")/("997kg/m³"*(("12m/s")^2)/2)`

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Cavitation Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cavitation number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2)
σ_c = (p-P_v)/(ρ_m*(u_f^2)/2)
This formula uses 5 Variables

Variables Used

Cavitation number - Cavitation number is used to evaluate weather a fluid system will cause caviation or not.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Vapour Pressure - (Measured in Pascal) - The Vapour pressure is a measure of the tendency of a material to change into the gaseous or vapour state, and it increases with temperature.
Mass Density - (Measured in Kilogram per Cubic Meter) - The Mass Density of a substance is its mass per unit volume.
Fluid Velocity - (Measured in Meter per Second) - Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.

STEP 1: Convert Input(s) to Base Unit

Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Vapour Pressure: 6 Pascal --> 6 Pascal No Conversion Required
Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Fluid Velocity: 12 Meter per Second --> 12 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_c = (p-P_v)/(ρ_m*(u_f^2)/2) --> (800-6)/(997*(12^2)/2)

Evaluating ... ...

σ_c = 0.011060960659757

STEP 3: Convert Result to Output's Unit

0.011060960659757 --> No Conversion Required

FINAL ANSWER

0.011060960659757 ≈ 0.011061 <-- Cavitation number

(Calculation completed in 00.004 seconds)

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< 14 Fluid Mechanics Basics Calculators

Equation of Continuity for Compressible Fluids

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

Equation of Continuity for Incompressible Fluids

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

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

Turbulence

Go Turbulence = Density 2*Dynamic Viscosity*Fluid Velocity

Unstable Equilibrium of Floating Body

Go Metacentric Height = Distance between Point B and G-Distance between Point B and M

Knudsen Number

Go Knudsen Number = Mean Free Path of Molecule/Characteristic Length of Flow

Kinematic Viscosity

Go Kinematic Viscosity of Liquid = Dynamic Viscosity of Fluid/Mass Density

Stagnation Pressure Head

Go Stagnation Pressure Head = Static Pressure Head+Dynamic Pressure Head

Weight Density given Specific Weight

Go Weight Density = Specific Weight/Acceleration due to Gravity

Weight

Go Weight of Body = Mass*Acceleration due to Gravity

Bulk Modulus given Volume Stress and Strain

Go Bulk Modulus = Volume Stress/Volumetric Strain

Vorticity

Go Vorticity = Circulation/Area of fluid

Specific Volume

Go Specific Volume = Volume/Mass

Sensitivity of Inclined Manometer

Go Sensitivity = 1/sin(Angle)

Cavitation Number Formula

Cavitation number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2)
σ_c = (p-P_v)/(ρ_m*(u_f^2)/2)

What is cavitation number?

The Cavitation number (Ca) is a dimensionless number used in flow calculations. It expresses the relationship between the difference of a local absolute pressure from the vapor pressure and the kinetic energy per volume, and is used to characterize the potential of the flow to cavitate.

How to Calculate Cavitation Number?

Cavitation Number calculator uses Cavitation number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2) to calculate the Cavitation number, Cavitation number is a parameter used to find whether a fluid system will cause cavitation or not. Cavitation number is denoted by σ_c symbol.

How to calculate Cavitation Number using this online calculator? To use this online calculator for Cavitation Number, enter Pressure (p), Vapour Pressure (P_v), Mass Density (ρ_m) & Fluid Velocity (u_f) and hit the calculate button. Here is how the Cavitation Number calculation can be explained with given input values -> 0.011061 = (800-6)/(997*(12^2)/2).

FAQ

What is Cavitation Number?

Cavitation number is a parameter used to find whether a fluid system will cause cavitation or not and is represented as σ_c = (p-P_v)/(ρ_m*(u_f^2)/2) or Cavitation number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, The Vapour pressure is a measure of the tendency of a material to change into the gaseous or vapour state, and it increases with temperature, The Mass Density of a substance is its mass per unit volume & Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.

How to calculate Cavitation Number?

Cavitation number is a parameter used to find whether a fluid system will cause cavitation or not is calculated using Cavitation number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2). To calculate Cavitation Number, you need Pressure (p), Vapour Pressure (P_v), Mass Density (ρ_m) & Fluid Velocity (u_f). With our tool, you need to enter the respective value for Pressure, Vapour Pressure, Mass Density & Fluid 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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