Unformatted text preview: Homework 5: 1—D Flow with Friction
Handed 0111;2/17/11; Due 2/24/11 1. Air is flowing tl‘irough 21 pipe of 002 in inside diameter and 4.0 in length. The conditions
at the exit of the pipe are Mg 2 0.5., pg 3 i atrn.‘ Enid T2 2:: 2W) K. Assuming sciiiibstic.
one—{iin‘iensionsl flown, with a. lc‘icai friction coei‘lieient of 0.005, celcuiete M}, p], and T1 at
the entrance to the pipe. ‘2. Given the duct initial conditions found in Problem i: EL. Determine the duct length necessary to choke the flow
E). If this duct length is increased by 10 in, determine the lﬁ‘gﬁ initial conditions for M1, p],
and Ti. 3) Consider the ﬂow of air thrmigli i1 pipe of inside diameter 1: 0.15 in and length = 30 In.
The iniet ilow conditions are Ml : 0.3, 131 = 101325, and T; m 273 K. (static quantities)
Assrnning f 2 0.005. calculate the Black number, tenipereaitin'e, and pressure at the exit. tilgist year’s test problem A converging; nozzle feeds it round tube with a. (.lisrneter of
0.005 In and Et length of 0.5 in. Given that the tube exits into the stinospl'iere at sea.
level, the friction coefﬁciClnt is 0.0.1. and the exit Mach number is 0.76., ﬁnd the stagnation
pressure in the nozzle. You nniy assume that the nozzle flow is isentropic and the tube flow
is friction—driven. 5. The stagnation el'ienilMzr of e wind tni'niiel is connected to at high—pressure sir bottle term
which is outside the laboratory building. The two are connected by a long pipe of 4 in inside.
(.iienieter. If the static pressure. ratio between the bottle term and the stagnation chamber is
10, and. the bottle—farm static pressure is 100 stir}, how lein; can the pipe be Without ChGlililg?
Assume adializitic, subsonic, one—(iimensionsl ﬂow with a friction coefﬁcient of 0.005. ...
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 Spring '11
 Dr.Edwards

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