Question

Question 3: Consider the incompressible Navier-Stokes equations:/6 a) Describe precisely how to obtain the Stokes equations and the Euler equations (i.e. what assumptions does one make), and then write out

each equation. b) Find the pressure scale in the Stokes and Euler regimes, then estimate the force on an object of size L moving with speed U through a fluid of viscosity u and density p in each case.

Fig: 1

Fig: 2

Fig: 3