Difficulty: Medium
Correct Answer: Two-dimensional flow means streamlines are necessarily straight lines; curved streamlines cannot be two-dimensional.
Explanation:
Introduction / Context:This item checks conceptual clarity on energy composition, venturimeter geometry, Pitot tube use, and the meaning of two-dimensional flow. Only one statement is intentionally incorrect.
Given Data / Assumptions:
Concept / Approach:Two-dimensional (2D) flow is defined by velocity components u(x,y,t), v(x,y,t) with no variation in the third coordinate. Streamlines may be curved or straight in 2D; curvature does not make the flow 3D. Venturimeters use a longer diffuser to limit adverse pressure gradients and suppress separation.
Step-by-Step Solution:
Evaluate (a): Correct — Bernoulli energy per unit weight is pressure head + velocity head + elevation head.Evaluate (b): Correct — divergent section is longer/shallower to minimize losses.Evaluate (c): Correct — Pitot tube provides local velocity via dynamic pressure.Evaluate (d): Incorrect — 2D flow can have curved streamlines; curvature does not imply 3D.Verification / Alternative check:Classic 2D potential flows (e.g., around a cylinder) have strongly curved streamlines yet remain 2D (no spanwise variation).
Why Other Options Are Wrong:
Common Pitfalls:Equating streamline curvature with three-dimensionality; assuming equal convergent and divergent lengths in a venturimeter.
Final Answer:Two-dimensional flow means streamlines are necessarily straight lines; curved streamlines cannot be two-dimensional.
Discussion & Comments