HOMEWORK ASSIGNMENT #4


ME 303 FLUID DYNAMICS/ WESTPHAL/ WSU/ FALL 2000


Due: Tuesday 10/17/2000 IN CLASS (submit by conclusion of class) FAX to (509)372-7471 -- use the FAX cover or any other cover page that has "ME 303 R. WESTPHAL" written on it

The assignment consists of the problems given below. HINT: Use Bernoulli's equation to attack the first four problems; use conservation of momentum to attack the rest (although you'll need both in problem 5). Conservation of mass is required for most of these too!

  1. 5.52 Omit discussion. HINT: first apply conservation of MASS

  2. 5.63 DISCUSSION: 10 psia is given as the local atmospheric pressure... is that the static or stagnation pressure?

  3. 5.65 Omit discussion. NOTE: this device is often called a piezometer tube

  4. An atmospheric air sampling device is shaped like a funnel: its 80 cm wide "mouth" faces into the flow, and the 25 cm diameter end where the sensors are located faces downstream. If this device is mounted beneath a small aircraft and flown through a still atmosphere at 50 m/s, what will be the air velocity inside the device at the wide mouth inlet? At the small end? HINT: The inlet velocity is NOT 50 m/s. For your discussion: what could be done to increase the flow velocity inside the device for a given flight speed?

  5. 6.1 NOTE: the 50 kPa pressure is a GAUGE pressure.

  6. 6.7 omit discussion

  7. 6.17 omit discussion

  8. 6.20 Discussion: what would be the effect of increasing the deflection angle from 20 deg to 30 deg?

  9. 6.28 Discussion: how is the ramjet different than, say, the turbofan of problem 6.90?

  10. 6.41 omit discussion

  11. 6.60 omit discussion

  12. 6.81 Discussion: sketch propulsive force vs. boat speed AND hull drag vs. boat speed - just qualitatively

  13. 6.90 Discussion: why would one want to have "bypass" air flow?

  14. 6.93

  15. 6.99 if the pipe is not rigid, one uses an "effective" bulk modulus: Eeff=Ewater*tpipe*Epipe/(tpipe*Epipe + Dpipe*Ewater)... also calculate water hammer pressure using Eeff for 6 inch schedule 40 steel pipe. Omit discussion.