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For 2D steady incompressible flow, Horizontal & vertical velocity components given by u = 6y, V = 0, where y is vertical distance. The angular velocity and rate of shear strain respectively, are
  • a)
    -3 & 3
  • b)
    3 & -3
  • c)
    3 & -6
  • d)
    -6 & 3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
For 2D steady incompressible flow, Horizontal & vertical velocity ...
In a 2D steady incompressible flow, the horizontal velocity component remains constant along any horizontal line in the flow field. This means that the velocity vector at any point on a horizontal line will have the same horizontal component.

This behavior is a consequence of the continuity equation, which states that the mass flow rate into a control volume must be equal to the mass flow rate out of the control volume. In a steady flow, the mass flow rate is constant, which means that the velocity must remain constant along any horizontal line.

This is important for understanding the behavior of fluids in various engineering applications. For example, in a pipe flow, the horizontal velocity component will remain constant along any horizontal cross-section of the pipe. This principle is used in the design and analysis of various fluid systems, such as pipelines and channels.
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Community Answer
For 2D steady incompressible flow, Horizontal & vertical velocity ...
Concept:
Angular velocity,

∴ ω­xy = -3
Now,
Rate of shear strain
 
 
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For 2D steady incompressible flow, Horizontal & vertical velocity components given by u = 6y, V = 0, where y is vertical distance. The angular velocity and rate of shear strain respectively, area)-3 & 3b)3 & -3c)3 & -6d)-6 & 3Correct answer is option 'A'. Can you explain this answer?
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