Difficulty: Easy
Correct Answer: decreases due to conversion of enthalpy to kinetic energy
Explanation:
Introduction / Context:
Nozzles are expansion devices that transform pressure energy (enthalpy) into kinetic energy. Understanding how pressure varies along the nozzle path is fundamental for turbine stage analysis.
Given Data / Assumptions:
Concept / Approach:
From the steady flow energy viewpoint, decreasing static enthalpy appears as increasing kinetic energy. Hence, as the fluid accelerates, static pressure falls. In a CD nozzle, pressure falls through the throat and continues to fall in the divergent part under correctly expanded conditions.
Step-by-Step Solution:
Use energy balance: h1 + V1^2/2 ≈ h2 + V2^2/2.As V rises (V2 > V1), h must drop → associated with a drop in p for expansion.Therefore, pressure decreases along the nozzle path.
Verification / Alternative check:
Measured pressure profiles and Mach distributions in Laval nozzles show monotonic pressure decrease (absent shocks) from inlet to exit.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing nozzle behavior with diffusers, where velocity decreases and pressure increases.
Final Answer:
decreases due to conversion of enthalpy to kinetic energy
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