5 9/30

1. Write a finite volume discretization for the $x$-momentum equation for a little finite volume in polar coordinates. Just like the continuity equation done in class, your final equation should only involve pressures, densities, and velocities at the center points of the finite volumes. (Choose either polar or Cartesian components for the velocities, not both.)

   Note that
   

   $${\widehat \imath}_r=\cos(\theta){\widehat \imath}+ \sin(\th... ... \sin(\theta){\widehat \imath}+ \cos(\theta){\widehat \jmath}$$
   
   

2. Assuming that there are known viscous stresses at the centers of the sides of the finite element, what additional terms do you get in the obtained equation due to viscous forces?