Question

scouS in a pipe are expre in terms of a Jriction Jactor, J. It is important to frictional forces in pipe flow because they result in pressure loss which must be accounted for in the piping system. For turbulent flow in pipes, the friction factor is calculated using the Colebrook equation: e/D 2.51 VT where e is the roughness height, D is the pipe diameter and Re is the pipe Reynolds number (dimensionless). For e/D = 0.008 and Re = 5× 105, solve the equation for f. Use any of the methods discussed in class (except MATLAB-provided functions). Solve until the relative approximation error is 0.0001 2. The figure shows a supersonic airflow over a wedge in two dimensions shock wave For a given wedge angle, θ, and upstream Mach number, M , it is desired to find the oblique shock-wave angle, β, and the downstrean Mach number, M. The equations you need to solve for these values are: M& sin2 β M2 (y cos 2B) +2 and Sin(B-0)_ where γ = 1.4 is the ratio of specific heats for air Find the oblique-shock angle, β, for M o 4 and θ 30 Then find the upstream! Mach number M2. Note that there are 2 solutions for B for these conditions. You should try to find both solutions. As a hint for determining a reasonable initial guess, note that any solution for B must be bounded by the wedge angle, θ, on the low end and by π/2 on upper end.

Answer 1

guwoy ivey) cHon s pipe dliameter Re Jp J우 Ο-003 -3.gr

b 구.gl 3-7 (O ズ K Kt

х. KtI on simpliging /o In) -5 α 드 0.002162

5 3-午 3OH S.30H 18382