(2) Consider the following fluid velocity fields: F(x,y) = (x,y), F(x,y)=(-x, y), F(x,y) = (y, 0). (a) Plot the three fields as glyphs. Which of these vector fields represent an expansion, a compression and a shear flow? (b) Calculate the divergence of the three fields V F. Can you relate the value of the divergence with the nature (compression, expansion or shear of the flow)? (c) Calculate the circulation V x F and relate it with the nature of the flow.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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(2) Consider the following fluid velocity fields:
F(x,y) = (x,y),
F(x,y)=(-x, y),
F(x,y) = (y, 0).
(a) Plot the three fields as glyphs. Which of these vector fields represent an expansion, a
compression and a shear flow?
(b) Calculate the divergence of the three fields V F. Can you relate the value of the
divergence with the nature (compression, expansion or shear of the flow)?
(c) Calculate the circulation V x F and relate it with the nature of the flow.
Transcribed Image Text:(2) Consider the following fluid velocity fields: F(x,y) = (x,y), F(x,y)=(-x, y), F(x,y) = (y, 0). (a) Plot the three fields as glyphs. Which of these vector fields represent an expansion, a compression and a shear flow? (b) Calculate the divergence of the three fields V F. Can you relate the value of the divergence with the nature (compression, expansion or shear of the flow)? (c) Calculate the circulation V x F and relate it with the nature of the flow.
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