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:
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:
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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