1. A steady 3-dimensional flow field is described using the following velocity vector: V = (2.49 + 1.36x − 0.867y)î + (1.95x - 1.36y) - 0.458xyk m/s - a. Derive an equation for the material acceleration vector. (20 points) b. Obtain the vorticity vector for the velocity field. (20 points) c. Is the flow rotational or irrotational? Show through your derivation. (5 points) d. Is the flow incompressible or compressible? Show through your derivation. (5 points)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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1. A steady 3-dimensional flow field is described using the following velocity vector:
V = (2.49 + 1.36x − 0.867y)î + (1.95x - 1.36y) - 0.458xyk m/s
-
a. Derive an equation for the material acceleration vector. (20 points)
b. Obtain the vorticity vector for the velocity field. (20 points)
c. Is the flow rotational or irrotational? Show through your derivation. (5 points)
d. Is the flow incompressible or compressible? Show through your derivation. (5 points)
Transcribed Image Text:1. A steady 3-dimensional flow field is described using the following velocity vector: V = (2.49 + 1.36x − 0.867y)î + (1.95x - 1.36y) - 0.458xyk m/s - a. Derive an equation for the material acceleration vector. (20 points) b. Obtain the vorticity vector for the velocity field. (20 points) c. Is the flow rotational or irrotational? Show through your derivation. (5 points) d. Is the flow incompressible or compressible? Show through your derivation. (5 points)
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