Question

Do the following problems, and provide your completed work including all steps and boxed For each problem, start with the appropriate Navier-Stokes Equations (given on the final page of this assignment) and simplify them to the form needed to solve the problem. For each term eliminated from the N-S equations, indicate the assumption that allows you to cross out that term. Also list the additional assumptions needed for the problem, including those that allow you to use the N-S equations. Ch6 Additional Problems RI Two immiscible liquids, each of depth δ, flow steadily down an infinitely large planar plate inclined at an angle of 0, as shown below. The density of the bottom fluid is p p, while the density of the top fluid is P, p. Additionally, the dynamic viscosities of the bottom and top fluids are μ.-μ and μ2-2μ, respectively. a) Find u, and 112, the velocity profiles in the indicated x-direction (in the direction down the surface of the plate), and draw a sketch of the overall velocity profile, b) Find p(x,y,z), the pressure distribution in the fluid layers Cartesian Coordinates ou av w Continuity equation: xy ουουουου] òp 0z dvdvdvdv1 др

Answer 1

uA u=u(v) Fo Top Freid 시 90se ) it 2시 2.

out Snilas 2442 2112 2241 ou 2시 저, lu ㄥ Lt C2

242 4,414