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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

  1. A velocity field is given as V = 2yî + 3xĵ where x and y are in metres. The acceleration of the a fluid particle at (x, y) = (1, 1) in the x direction is
    1. 0 m/s2
    2. 5.00 m/s2
    3. 6.00 m/s2
    4. 8.48 m/s2
Correct Option: C

V = 2yî + 3xĵ
u = 2y, v = 3x
Acceleration in x direction, ax

ax = u.
∂u
+ v.
∂u
+
∂u
= 0
∂x∂y∂t

= 2y (0) + 3x. (2) + 0
= 6x = 6 × (1) = 6 m/s2



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