ISRO Mechanical & Aerospace 2013 - Question 21

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The 2-D flow with velocity v = (x + 2y + 2)i + (4 - y)j is

  • A. Compressible and irrotational
  • B. Compressible and not irrotational
  • C. Incompressible and irrotational
  • D. Incompressible and not irrotational

Answer: D. Incompressible and not irrotational

Explanation: div(v) = du/dx + dv/dy = 1 + (-1) = 0 (Incompressible). curl(v) = dv/dx - du/dy = 0 - 2 = -2 != 0 (Not Irrotational).

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