Cavitation Number Calculator
Find the cavitation number Ca = (p−p_v)/(½ρv²), the dimensionless number predicting the risk of vapor-bubble cavitation in a flowing liquid.
🫧 What is the Cavitation Number Calculator?
This cavitation number calculator finds Ca=(p−p_v)/(½ρv²), the dimensionless number predicting the risk of vapor-bubble cavitation in a flowing liquid. Enter the reference pressure, the liquid's vapor pressure, fluid density, and characteristic velocity, and it returns Ca along with a risk classification.
Ca compares the pressure margin above vapor pressure to the dynamic pressure of the flow, essentially the local pressure drop fast flow can create.
A low cavitation number means that margin is small relative to how much the flow's speed can drop local pressure, so vapor bubbles can form and then collapse violently, causing erosion and noise.
This calculator is useful for mechanical and marine engineering students studying pump, propeller, and valve cavitation, and for anyone assessing cavitation risk in a hydraulic system.
📐 Formula
📖 How to Use This Calculator
Steps
💡 Example Calculations
Example 1 - Ship propeller near the surface
Example 2 - Faster pump, higher risk
Example 3 - Slower flow, low risk
❓ Frequently Asked Questions
🔗 Related Calculators
What is cavitation?
Cavitation is the formation of vapor bubbles in a liquid where local pressure drops below the liquid's vapor pressure, followed by the violent collapse of those bubbles when they move into a higher-pressure region. The collapse generates intense localized shock waves that can severely erode nearby surfaces over time.
What is the cavitation number?
The cavitation number, Ca, is a dimensionless quantity that compares the available pressure margin above a liquid's vapor pressure to the dynamic pressure of the flow. It predicts how likely a given flow condition is to trigger cavitation.
What is the formula for the cavitation number?
Ca = (p−p_v)/(½ρv²), where p is a reference (ambient or upstream) pressure, p_v is the liquid's vapor pressure at the operating temperature, ρ is fluid density, and v is a characteristic flow velocity.
What cavitation number counts as high risk?
There is no single universal threshold since it depends on the specific geometry, but generally a cavitation number below roughly 0.5 to 1 indicates meaningful cavitation risk, with lower values indicating progressively higher risk. Each specific device (pump, propeller, valve) typically has its own empirically determined critical cavitation number.
Why does temperature matter for cavitation risk?
A liquid's vapor pressure rises sharply with temperature (it equals atmospheric pressure exactly at the boiling point), so hotter liquids have a smaller pressure margin before local pressure drops trigger vaporization, making cavitation more likely at the same flow velocity and reference pressure.
Where does cavitation cause problems in engineering?
Cavitation is a major concern in centrifugal pumps (impeller erosion, reduced efficiency, noise), ship propellers (blade pitting, vibration, noise, the classic case that motivated much of cavitation research), control valves and orifices, and hydraulic turbines, anywhere fast-flowing liquid experiences local pressure drops.
How can engineers reduce cavitation risk?
Common strategies include increasing the available pressure margin (raising system pressure or lowering fluid temperature), reducing flow velocity at critical points, redesigning geometry to avoid sharp pressure drops (like blunt pump inlets or sharp valve edges), and selecting cavitation-resistant materials for components exposed to unavoidable cavitation.
What does 'net positive suction head' (NPSH) have to do with cavitation?
NPSH is a closely related concept used specifically in pump engineering, essentially the same pressure margin idea expressed as a head (length) rather than a dimensionless ratio. Pump manufacturers specify a required NPSH, and keeping the available NPSH above this requirement is the standard practical way to avoid pump cavitation.
Does cavitation only happen in pumps and propellers?
No, cavitation can occur anywhere liquid flow experiences a sufficiently large local pressure drop, including fast-flowing river water around obstructions, medical ultrasound and lithotripsy devices (which deliberately exploit cavitation), and even inside the human cardiovascular system in certain extreme conditions.
Why is cavitation damage often described as more severe than simple erosion?
Collapsing cavitation bubbles can generate localized pressures and temperatures far exceeding the bulk fluid conditions (sometimes cited as thousands of atmospheres and thousands of degrees momentarily at the collapse point), producing a distinctive pitted, sponge-like surface damage pattern that differs from simple abrasive wear.