Chapter 2, Problem 12P

The flow field for an atmospheric flow is given by

$\stackrel{\to }{V}=-\frac{Ky}{2\pi (x^2+y^2)}\hat{i}+\frac{Kx}{2\pi (x^2+y^2)}\hat{j}$

where K = 10⁵ m²/s, and the x and y coordinates are parallel to the local latitude and longitude. Plot the velocity magnitude along the x axis, along the y axis, and along the line y = x, and discuss the velocity direction with respect to these three axes. For each plot use a range x or y = −1 km to 1 km, excluding |x| or |y| < 100 m. Find the equation for the streamlines and sketch several of them. What does this flow field model?