Heat, Mass and Momentum Transport: Homework 2 (Fall 2017) September 27, 2017 Due

Question

Heat, Mass and Momentum Transport: Homework 2 (Fall 2017) September 27, 2017 Due: October 5, 2017 You will be graded based on your ability to (i) identify, (l) formulate, and (ili) solve engineering problems. Show clearly each step of your calculation. Clarity of presentation would ensure that you do not lose all the points for a calculation if you should make a mistake. 1. A nozzle is attached to a fire hose by a bolted flange. The pressure at the flanged joint is 168 psig and the diameter of the hose at the flange is in. The diameter of the outlet nozzle is in and the hose carries water at 500 ga/min. Caleulate the force tending to tear apart the flange. All calculations should be in English engineering units, and note that you will lose 75% of the grade if you work in SI units.

Explanation / Answer

Solution:

Pressure=P=168psig= 168 lb /inch^2 g = 168 lb / 1/144 =168*144 lb /ft2

Assume the diameter of hose D=3.57inch ( since not given)

So that area A1=3.14xD2/4=10in^2/144foot2

Force applied=Fa=P*A1=168*144*10 /144=1680lbf

Density of water=q=62.50lb/ft3

Nozzle outlet area A2=3.14xd2/4=1inch2=1/144 ft2

Discharge of water(A2V2)=500 gal/min=1.114ft3/sec

Force=densityxdischarge=62.5x1.114=69.625lb/sec

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