Hwk 2 solutions

 

1.

 

2.

 

3.

 

4.

 

5.

2nd and 3rd term cancel due to asymmetry, 4th term is higher order.

 

6. Streamlines are all vertical then horizontal.

Assume the vertical and horizontal velocities are 1 for simplicity

Pathline:

 

Streakline:

 

7.

2nd and 4th terms vanish by continuity