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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

  1. A plane flow has velocity components u =
    x
    ; v =
    y
    T1T2

    w = 0 along x, y and z directions respectively, where T1 (#0) and T2 (#0) are constants having the dimension of time. The given flow is incompressible if
    1. T1 = −T2
    2. T1 = −
      T2
      2
    3. T1 =
      T2
      2
    4. T1 = T2
Correct Option: D

For incompressible flow,

∂u
+
∂v
= 0
∂x∂y

u =
x
; v =
y
T1T2

1
1
= 0
T1T2

∴ T1 = T2.



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