Cavitation Number Calculator

✖The Pressure is the force exerted per unit area within a fluid, influencing how fluids behave and interact in various mechanical systems.ⓘ Pressure [p]			+10% -10%
✖The Vapour Pressure is the pressure exerted by a vapor in equilibrium with its liquid or solid phase at a given 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%
✖The Fluid Velocity is the speed at which a fluid flows in a given direction, influencing various aspects of fluid behavior and system performance in mechanical applications.ⓘ Fluid Velocity [u_f]			+10% -10%

✖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.ⓘ Cavitation Number [σ_c]

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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 - 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.
Pressure - (Measured in Pascal) - The Pressure is the force exerted per unit area within a fluid, influencing how fluids behave and interact in various mechanical systems.
Vapour Pressure - (Measured in Pascal) - The Vapour Pressure is the pressure exerted by a vapor in equilibrium with its liquid or solid phase at a given 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) - The Fluid Velocity is the speed at which a fluid flows in a given direction, influencing various aspects of fluid behavior and system performance in mechanical applications.

STEP 1: Convert Input(s) to Base Unit

Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Vapour Pressure: 6.01 Pascal --> 6.01 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) --> (800-6.01)/(997*(12^2)/2)

Evaluating ... ...

σ_c = 0.0110608213529477

STEP 3: Convert Result to Output's Unit

0.0110608213529477 --> No Conversion Required

FINAL ANSWER

0.0110608213529477 ≈ 0.011061 <-- Cavitation Number

(Calculation completed in 00.004 seconds)

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< Fluid Mechanics Basics Calculators

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

Cavitation Number Formula

LaTeX Go

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 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 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 = (800-6.01)/(997*(12^2)/2).

FAQ

What is 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 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). The Pressure is the force exerted per unit area within a fluid, influencing how fluids behave and interact in various mechanical systems, The Vapour Pressure is the pressure exerted by a vapor in equilibrium with its liquid or solid phase at a given temperature, The Mass Density of a substance is its mass per unit volume & The Fluid Velocity is the speed at which a fluid flows in a given direction, influencing various aspects of fluid behavior and system performance in mechanical applications.

How to calculate 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 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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