The velocity field of a permanent, incompressible and isothermal flow is given by
u = a (x^2 - y^2) (1)
v = −2axy (2)
w = 0 (3)
Gravitational acceleration acts on the z axis only.
a) Write the Navier-Stokes equations for this flow, canceling the appropriate terms
and replacing the non-zero derivatives with their detailed expression. Be sure to indicate
clearly your assumptions. (4 points)
b) From the result obtained in (a), demonstrate that the pressure field is continuous...