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Cavitation Number Formula

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The Cavitation Number is a dimensionless value that indicates the potential for cavitation in a fluid, helping to assess the stability of fluid flow in various applications. Check FAQs

σ c = \frac{p - P v}{ρ m \cdot \frac{{u f}^{2}}{2}}

σ_c - Cavitation Number?p - Pressure?P_v - Vapour Pressure?ρ_m - Mass Density?u_f - Fluid Velocity?

Cavitation Number Example

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With units

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Here is how the Cavitation Number equation looks like with Values.

Here is how the Cavitation Number equation looks like with Units.

Here is how the Cavitation Number equation looks like.

0.0111 = \frac{800 - 6}{997 \cdot \frac{12^{2}}{2}}

0.0111 = \frac{800Pa - 6Pa}{997kg/m³ \cdot \frac{{12m/s}^{2}}{2}}

0.0111 = \frac{800 - 6}{997 \cdot \frac{12^{2}}{2}}

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Cavitation Number Solution

Follow our step by step solution on how to calculate Cavitation Number?

FIRST Step Consider the formula

σ c = \frac{p - P v}{ρ m \cdot \frac{{u f}^{2}}{2}}

Next Step Substitute values of Variables

∴

σ c = \frac{800Pa - 6Pa}{997kg/m³ \cdot \frac{{12m/s}^{2}}{2}}

Next Step Prepare to Evaluate

∴

σ c = \frac{800 - 6}{997 \cdot \frac{12^{2}}{2}}

Next Step Evaluate

∴

σ c = 0.011060960659757

LAST Step Rounding Answer

∴

σ c = 0.0111

Cavitation Number Formula Elements

Variables

Cavitation Number

The Cavitation Number is a dimensionless value that indicates the potential for cavitation in a fluid, helping to assess the stability of fluid flow in various applications.

Symbol: σ_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Cavitation Number

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: p

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

Vapour Pressure

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.

Symbol: P_v

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Vapour Pressure

Mass Density

The Mass Density of a substance is its mass per unit volume.

Symbol: ρ_m

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density

Fluid Velocity

Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.

Symbol: u_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Fluid Velocity

Other formulas in Fluid Mechanics Basics category

Go Bulk Modulus given Volume Stress and Strain

K = \frac{VS}{ε v}

Go Equation of Continuity for Compressible Fluids

V 1 = \frac{A 2 \cdot V 2 \cdot ρ 2}{A 1 \cdot ρ 1}

Go Equation of Continuity for Incompressible Fluids

V 1 = \frac{A 2 \cdot V 2}{A 1}

Go Kinematic Viscosity

ν f = \frac{μ d}{ρ m}

How to Evaluate Cavitation Number?

Cavitation Number evaluator uses Cavitation Number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2) to evaluate the Cavitation Number, Cavitation Number formula is defined as a dimensionless parameter that indicates the potential for cavitation in a fluid flow. It compares the pressure difference between the fluid and vapor phases to the dynamic pressure, helping to assess the stability of fluid systems under varying conditions. Cavitation Number is denoted by σ_c symbol.

How to evaluate Cavitation Number using this online evaluator? To use this online evaluator for Cavitation Number, enter Pressure (p), Vapour Pressure (P_v), Mass Density (ρ_m) & Fluid Velocity (u_f) and hit the calculate button.

FAQs on Cavitation Number

What is the formula to find Cavitation Number?

The formula of Cavitation Number is expressed as Cavitation Number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2). Here is an example- 0.011061 = (800-6.01)/(997*(12^2)/2).

How to calculate Cavitation Number?

With Pressure (p), Vapour Pressure (P_v), Mass Density (ρ_m) & Fluid Velocity (u_f) we can find Cavitation Number using the formula - Cavitation Number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2).

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Cavitation Number Formula

Cavitation Number Example

Cavitation Number Solution

Cavitation Number Formula Elements

Other formulas in Fluid Mechanics Basics category

How to Evaluate Cavitation Number?

FAQs on Cavitation Number

Variable Name