(a) The instantaneous time-averaged equation governing the two-dimensional conservation of momentum for the u component can be written as a(pu) a(puu) a(pu) a du + + t ax dy Ox ax If a mean property can be defined as : po = Stokes (FANS) form of the above Equation (5): (5) Applying the Reynolds averaging rule such as =; a+B=+ ; a=; a=a + a'; and da derive the Reynolds-Averaged Navier-Stokes (RANS) as as form of the above Equation (5): [10 Marks] derive the Favred-Averaged Navier- [10 Marks] Assuming incompressible flows and constant properties, comment on the difference between the RANS and FANS equations. Comment on the additional terms that are introduced through the time-averaging process and how these terms resolved through the two-equation turbulence framework. [10 Marks]