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The velocity field of a flow is given by; V=4xyi_+ 3yj + 2k a) Obtain the local acceleration vector. b) Obtain the convective acceleration vector. c) Determine whether it is a steady or unsteady? Explain.

The velocity field of a flow is given by; V=4xyi_+ 3yj + 2k a) Obtain the local acceleration vector. b) Obtain the convective acceleration vector. c) Determine whether it is a steady or unsteady? Explain.

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The velocity field of a flow is given by; V=4xyi_+ 3yj + 2k a) Obtain the local acceleration vector. b) Obtain the convective acceleration vector. c) Determine whether it is a steady or unsteady? Explain. d) Is it a one, two or three dimensional flow? Explain. e) Is it an incompressible flow? Explain. f) Is it an irrotational flow? Explain. g) Is it an uniform flow? Explain. h) Determine the equation of streamlines on x-y plane. i) The fluid particle A is at (x=1,y=1,z=1) at to = 0 s. Find the position and the velocity vector of the particle A after t=1/8 s.
Transcribed Image Text:The velocity field of a flow is given by; V=4xyi_+ 3yj + 2k a) Obtain the local acceleration vector. b) Obtain the convective acceleration vector. c) Determine whether it is a steady or unsteady? Explain. d) Is it a one, two or three dimensional flow? Explain. e) Is it an incompressible flow? Explain. f) Is it an irrotational flow? Explain. g) Is it an uniform flow? Explain. h) Determine the equation of streamlines on x-y plane. i) The fluid particle A is at (x=1,y=1,z=1) at to = 0 s. Find the position and the velocity vector of the particle A after t=1/8 s.
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