5. Consider a flow given by equation given by Eq. 2.. ) V = Ay exp{-}i+B) (2) where r and y are in meters, A = 3-1, B =

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5 Consider A Flow Given By Equation Given By Eq 2 V Ay Exp I B 2 Where R And Y Are In Meters A 3 1 B 1 (37.9 KiB) Viewed 59 times

5. Consider a flow given by equation given by Eq. 2.. ) V = Ay exp{-}i+B) (2) where r and y are in meters, A = 3-1, B = 2 and c = 0.2--| (a) Show that the acceleration for this flow is given by Eq. 3. (5 pts) a = -Acy exp{-ct (3) (b) Plot the velocity and acceleration fields for this flow at a several points in time and comment on the plots (i.e. what does the motion of this fluid look like, does the velocity field evolve in time as you would expect baed on the acceleration field, etc.). (5 pts) (C) Show that the streamline for the flow that passes through the origin is described by Eq. 4. (5 pt) T- Ay² = 0 (4) B 2 (d) On the same plot, plot the streamlines for the times corresponding to the times that you used in part (b). Comment on what you observe (ie. what does the flow look like based on these plots, are these consistent with what you saw in part (b), etc.). (5 pts) (e) Show that the pathline for a particle that passes through the origin at t=0 s is given by Eq. 5. (5 pts) AB 2= 11 - (ct +1) exp{-ct}} (5) (1) On the same plot, plot the streamline and pathline for a particle that passes through the origin at 1 = 0 s. Are the same? If not, why not?