Cavitation Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cavitation number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2)
σc = (p-Pv)/(ρm*(uf^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
σc = (p-Pv)/(ρm*(uf^2)/2) --> (800-6)/(997*(12^2)/2)
Evaluating ... ...
σc = 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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​ LaTeX ​ 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
​ 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 = Volume Stress/Volumetric Strain

Cavitation Number Formula

​LaTeX ​Go
Cavitation number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2)
σc = (p-Pv)/(ρm*(uf^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 σc symbol.

How to calculate Cavitation Number using this online calculator? To use this online calculator for Cavitation Number, enter Pressure (p), Vapour Pressure (Pv), Mass Density m) & Fluid Velocity (uf) 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 σc = (p-Pv)/(ρm*(uf^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 (Pv), Mass Density m) & Fluid Velocity (uf). 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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