Identify the incorrect statement about radial flow Which of the following statements is NOT correct for radial flow fields (e.g., flow toward or away from a centerline)?

Difficulty: Easy

Correct Answer: Flow is one-dimensional with streamlines parallel

Explanation:


Introduction / Context:
Radial flow occurs in pumps, wells, and around bluff bodies. It differs from rectilinear flow because streamlines converge toward or diverge from a point/axis, altering geometry and kinematics.



Given Data / Assumptions:

  • Axisymmetric, inviscid-style reasoning for basic identification.
  • Flow direction is predominantly radial.


Concept / Approach:
In radial flow, streamlines are not parallel; they either converge or diverge, causing pressure and velocity to vary with radius. Thus, any statement implying “streamlines parallel” is inconsistent with the very definition of radial motion.



Step-by-Step Solution:

Check (a): variation with radius r is expected → correct.Check (b): direction predominantly radial → correct.Check (c): both inward and outward patterns exist → correct.Check (d): “streamlines parallel” contradicts radial geometry → incorrect statement.


Verification / Alternative check:
Potential-flow solution for a source/sink has V_r ∝ 1/r and streamlines radiating from/into the origin; clearly not parallel.



Why Other Options Are Wrong:
Options (a)–(c) accurately describe radial flow behavior.



Common Pitfalls:
Confusing “one-dimensional” with “parallel streamlines”; even simplified 1-D radial models do not imply parallel lines.



Final Answer:
Flow is one-dimensional with streamlines parallel

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