1- Consider the following continuous, two-dimensional velocity field:
V = (u,v) = (1+2.5x + y) + (-0.5-3x-2.5y)j
a.) For the velocity field, is there a stopping point in this flow field? If available, show
in x-y. b.)
Give values from x=0 to 4, y=0 to 4, draw the velocity vector, determine its direction.
Please specify.
c.) Find the acceleration field, determine its value and direction for x=2, y=3.
d.) Is the flow rotational? Or is it irreversible?
e.) Prove that the flow is incompressible.
2- Write the Euler momentum and continuity equations. When the natural
coordinates of the current (v, p) are used, which equation does the current turn into.
Please explain.
3- Consider the constant, 2-dimensional, incompressible velocity field given by
V = (u,v) = (ax + b)i+ (-ay+c)j. Calculate the pressure as a function of x and y. Note:
a, b, c = constant, gravity negligible