A two-dimensional transient velocity field is given by u = ax(b + ct) v = ey(f+...

A two-dimensional transient velocity field is given by

u = ax(b + ct) v = ey(f+ ht)

where u is the x velocity component and v, the y component. Find:

The trajectory x(t), y(t) if x = x0, y = y0 at t = 0.
The streamline that passes through x0, y0 when t=0 and plot it.
The acceleration field.

a (-) = 5

b (1/s) = 5

c (m) = -1

e (-) = 5

f (1/s) = 5

h (m) = 4

x₀ = 1

y₀ = 2

Expert Solution

Velocity in X and Y direction is given.We have to integrate the Velocity to get position function. The eqation of stream line is obtained by sream function relation. For accelration field the velocity fuction id differentiated with respect to time. see the solution.

Ally Wells answered 9 months ago

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