GATE ME 2016 Set 2 — Question 23
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Fluid Mechanics → Fluid Kinematics & Dynamics → Streamlines, Pathlines & Streaklines
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Question
The volumetric flow rate (per unit depth) between two streamlines having stream functions and is
Correct answer
(D) ₁ - ₂
Solution
The volumetric flow rate per unit depth () between two streamlines is given by the absolute difference between the values of their stream functions. Mathematically, for two streamlines with stream functions and :
This is because the change in stream function represents the flow across a line element, and integrating this between two streamlines gives the total flow rate between them.
This is because the change in stream function represents the flow across a line element, and integrating this between two streamlines gives the total flow rate between them.
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