Cavitation in fluid flow occurs under which condition within pumps, valves, or constricted passages?
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AWhen the fluid velocity decreases to zero
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BWhen the total energy decreases
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CBoth (a) and (b)
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DWhen the local flow pressure approaches the liquid’s vapor pressure at the prevailing temperature
Answer
Correct Answer: When the local flow pressure approaches the liquid’s vapor pressure at the prevailing temperature
Explanation
Introduction / Context:Cavitation is the formation and subsequent collapse of vapor bubbles in a liquid, a damaging phenomenon in pumps, turbines, propellers, and throttling devices. Recognizing the precise trigger condition helps in design and troubleshooting.
Given Data / Assumptions:
- Liquid with known vapor pressure at the local temperature.
- Flow domain includes regions of high velocity or sharp pressure drops (e.g., impeller eye, valve vena contracta).
- Basic Bernoulli and vapor–liquid equilibrium considerations apply.
Concept / Approach:
As static pressure falls at constant temperature, once it approaches the liquid’s vapor pressure, nucleation of vapor cavities can occur. These cavities convect into higher-pressure regions and collapse violently, producing noise, vibration, efficiency loss, and surface pitting. Hence designs ensure NPSHa > NPSHr and avoid abrupt pressure drops.
Step-by-Step Solution:
Identify low-pressure locations (e.g., pump suction, vena contracta).Compare local static pressure p_local to vapor pressure p_vap(T).If p_local ≲ p_vap(T), vapor cavities form → cavitation onset.Mitigation: raise suction head, reduce temperature, lower velocity/ losses, redesign inlets.Verification / Alternative check:
Bernoulli reasoning: increases in velocity cause static pressure reductions; if the drop is severe, pressure can approach vapor pressure and trigger cavitation. Field indicators include characteristic crackling noise and reduced pump head.
Why Other Options Are Wrong:
Velocity decreases to zero: Not causative; low velocity tends to raise static pressure. Total energy decreases: Vague and not the defining condition. Both: Combines two incorrect/irrelevant statements.
Common Pitfalls:
Using gauge instead of absolute pressure near zero; neglecting temperature dependence of vapor pressure; ignoring suction pipe losses in NPSH calculations.
Final Answer:
When the local flow pressure approaches the liquid’s vapor pressure at the prevailing temperature