1. Consider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1 and v = = 2yt. a) Is the flow field incompressible at all times? b) Compute the convective derivative of each velocity component: Du/Dt and Dv/Dt. c) By considering the velocity gradients, determine whether the fluid elements experience any deformation. What type(s) of deformation do they experience?

Elements Of Electromagnetics
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could you plaese help me answer A, B and C 

1.
Consider a two-dimensional flow which varies in time and is defined by
the velocity field, u = 1 and v = 2yt.
a) Is the flow field incompressible at all times?
b) Compute the convective derivative of each velocity component: Du/Dt
and Dv/Dt.
c) By considering the velocity gradients, determine whether the fluid
elements experience any deformation. What type(s) of deformation do
they experience?
Transcribed Image Text:1. Consider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1 and v = 2yt. a) Is the flow field incompressible at all times? b) Compute the convective derivative of each velocity component: Du/Dt and Dv/Dt. c) By considering the velocity gradients, determine whether the fluid elements experience any deformation. What type(s) of deformation do they experience?
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