GATE ME 2021 Set 2 — Question 23
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Fluid Mechanics → Fluid Kinematics & Dynamics → Streamlines, Pathlines & Streaklines
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Question
A two dimensional flow has velocities in and directions given by and , where denotes time. The equation for streamline passing through is
Correct answer
(B) xy² = 1
Solution
The equation of a streamline in a two-dimensional flow is given by:Substituting the given velocity components and :Integrating both sides:For the streamline passing through :Thus, the equation is . Squaring both sides gives:Therefore, the correct option is (B).
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