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Fluid Mechanics and Hydraulic Machinery Miscellaneous

Fluid Mechanics and Hydraulic Machinery

  1. Velocity vector of a flow field is given as = 2xyî - x²zĵ. The vorticity vector at (1, 1, 1) is
    1. 4î - ĵ
    2. 4î - k̂
    3. î - 4ĵ
    4. î - 4k̂
Correct Option: D

v = 2xyi – x 2zj
Velocity of a vector = × v

= î0 -
δ
( - x²z) - î0 -
δ
(2xy) - k̂0 -
δ
(-x²z) -
δ
(2xy)
δzδzδxδy

= î(-x²) + k̂(-2 × z - 2X)
At(1 , 1 , 1),
× v = î + k̂ (-2 -2) = i - 4k



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