Question

7. Two round pipes have water flowing through them. Pipe B is half of the diameter of pipe A. If the average velocity of the flow through both pipes is the same, what is Q./Q.? B 8. A lubricating oil with a viscosity of 0.1 (N s/m' is between two plates, one stationary and one moving If the moving plate is moving with a velocity of 1.3 m/s and the distance between the plates is 0.4 cm what is the shear stress on the moving plate? 9. a. What is the mass in slugs of 20 lbf of water on Earth? b. What is the mass in Ibm of 20 lbf of water on Earth? 10. Which version of the continuity equation is best for flow of gas in a pipe? How could you simplify it for flow of water in a pipe (assuming water is incompressible)?

Answer 1

7 da =) diameter of pipe-A dg =) diameter of pipe-s do= da the velocity through both pipe is same generally flow date Q=AV Q=ad? ex d² (u= const) (da/) agen Dolcon 8. given, viscosity, M = o-1 N/m2 distance between two plate, y = 0.4cm = 0.00pm velocity of of moving plate, a= 1.3 m/s

According to newton equation of viscosity, shead stress, 2= u u - o.1 x 1-3 - = 32.5 N/m² Cereness 9. མཚར་ ང་ ར་ པ་ // go= acceledation due to gravity 9-9-81 mig? = 32-1714 ft / 9-9-81 mis ft = foot Canit of length leof= lebmx on leofailomX 32.176 ty? Similarly, left= slagsx ft/s i sof= idom x 32-174 ft/s ..= $slugs Ift/se A) mass in slugs 20 lbf of water on earth -0.62 162 slugs 32.174

b) mass on eadth in dom of zolof of water a 20 dom 10. A => area v=> velocity gas 3 => density the gas is complessible in natude diffedent density may change section. 1002 = 2 mass flow date = SAV is.) the continuity equation for gas SAV: = a contant od SAN = SARVE for water- so water incompressible density may not change.ie, Si=32=S :. continuity equation become SAVI=8 Aava >