Question

(1.22 bg n) Hlos in 2. Air at constant density 04 inter nal diameter 6obmm and is dicuharged into the atmosphere. A+ the outlef end of the auct, and co-ai al with it i with base diameter 750 mm and vertex angle 90° (see Figure 2). Flow in the duct is controlled by moving the vertex of the cone into the duct, the air then escaping along the sloping sides of the cone. The mean velocity in the duct upstream of the cone is 15 ms and the air leaves the cone (at the 750 mm diameter) with a mean velocity of 60 ms1 parallel to the sides. Assuming that the changes in air density and the frictional effects are negligible, calculate the net axial force necessary to keep the cone in place. The flow both in the duct and leaving the cone is turbulent (so the velocity profiles may be assumed to be uniform), and changes in elevation may also be neglected. (Answer: 440 duct MadY cone.. N). 750 mm 600 mm Figure 2: Sketch of cone and duct.
Sorry the question printed on two pages so i wrote up the first part! thanks

Answer 1

Selution:- - Gob mm d- 75omm Data- iven density (P)- I-22 kq.m duct 600 mm or) O.6m Intemal diameter of - angle Ce) Vertex diameter (d).1tomm Cor) 0.15m base V2 60 m. eqution Bernoull the applying We Can P Py= P2+ PI P2 - LC1.22) V 2 P-P 2059 Pa. Moment Control Volume : to chosen the Cone the Force oh x = A, CP-P) -PA,VI (V2Cos C4s°) - V) G0 440 N -