Mouthpieces and pressure head — absolute pressure at vena contracta In external or internal mouthpieces, when the atmospheric pressure head is equivalent to 10.3 m of water, the absolute pressure head at the vena contracta can drop to zero under sufficient driving head. Is this statement correct?

Difficulty: Medium

Correct Answer: Correct

Explanation:


Introduction / Context:
In short-tube (mouthpiece) flows, the pressure at the vena contracta can fall below atmospheric. When the vacuum equals the local atmospheric head (~10.3 m of water at sea level), the absolute pressure approaches zero, which triggers a change in flow regime (e.g., mouthpiece running full) or cavitation limits.



Given Data / Assumptions:

  • Water at standard conditions; atmospheric head ≈ 10.3 m of water.
  • Well-formed vena contracta occurs inside the mouthpiece.
  • Neglecting dissolved gases and vapor pressure nuances for the conceptual limit.


Concept / Approach:
Absolute pressure head h_abs = h_atm − h_vac. If h_vac → h_atm (≈ 10.3 m), then h_abs → 0. At or below this limit, cavitation (or flow alteration) occurs; practical operation avoids approaching the absolute zero because vapor pressure is reached earlier (~0.2–0.3 m head for water at room temperature).



Step-by-Step Solution:

Recognize that p_abs ≥ 0 by definition; negative absolute pressure is nonphysical.As driving head increases, local pressure at vena contracta drops.At the limiting case where vacuum head = 10.3 m, p_abs → 0 head of water.This condition qualitatively explains transitions like mouthpiece running full.


Verification / Alternative check:
Engineering texts describe that when absolute pressure at the vena contracta is reduced sufficiently, separation patterns change and full running occurs; also, vapor pressure is reached prior to zero absolute in practice.



Why Other Options Are Wrong:

  • “Incorrect” conflicts with the conceptual limit statement.
  • Absolute pressure cannot be negative; that option is physically impossible.
  • Limiting to gas flow or sharp-edged orifices is unnecessary; the concept is general.


Common Pitfalls:
Equating the practical cavitation onset (at vapor pressure) with zero absolute pressure; zero is a theoretical limit, cavitation starts earlier.



Final Answer:
Correct


More Questions from Hydraulics and Fluid Mechanics

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion