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25/6 (4.6 z? Zr: 7500 x77 ‘54 P13 PLIO P126 P138 P145 131.48 Mme (Vecﬂ’ﬂﬂeéi, H w 042/. /’ A hemispherical container, 26 inches in diameter, is ﬁlled
with a liquid at 20°C and weighed Theliquid weight is
found to be 1617 ounces. (a) What is the.density of the
ﬂuid, in leg/m3? (b) What ﬂuid might This be? Assume stan-
dard gravity, g = 9.807 m/sz. ../ The Stokes-Oseen formula [33] for drag force F on a
sphere of diameter D in a ﬂuid stream of low velocity V,
density p, and viscosity [J is ' l7 = amuv + 2%meZ
Is this formula dimensionally homogeneous? When we in the United States say a car’s tire is ﬁlled “to
32 lb,” we mean that its internal pressure is 32 lbffln2 above
the ambient atmosphere. Ifthe tire is at sea level, has a volume of 3.0 ff, and is at 75°F, estimate the total weight
of air, in lbf, inside the tire. In Fig. 1.7, if the ﬂuid is glycerin at 20°C and the width
between plates is 6 mm, what shear stress (in Pa) is
required to move the upper plate .at: 5.5 m/s? What is the Reynolds number if L is taken to be the distance between
plates? A block of weight W slides down an inclined plane while
lubricated by a thinﬁlrn of oil, as in Fig. Pl.45. The ﬁlm
contact area is A and its thickness is h. Assuming a linear
velocity distribution in the ﬁlm, derive an expression for
the ‘terminal” (zero-acceleration) velocity V of the block. Find the terminal velocity of the block if the block mass is. . 6kg,A = 35 cmz, 6 = 15°, and theﬁlmis l—mm—thick SAE
30 oil at 20°C. Liquid ﬁlm of Block contact I 9 areaA P1.45 A thin plate is separated from two ﬁxed plates by very
viscous liquids [.14 and pl, respectively, as in Fig. Pl.48.
The plate spacings J11 and hz are unequal, as shown. The
contact area is A between the center plate and each ﬂuid.
(a) Assmning a linear velocity distribution in each ﬂuid, de-
rive the force F required to pull the plate at velocity V. (b) Is
there a necessary relation between the two viscosities, ,LLl and m?
7///////////////////////////////////////////////////A hl [-51 F:Jf_——_:: —-—>—F,V hz #2 WWW P1.48 P173 A small submersible moves at velocity V, in fresh water at ' 20°C, at a 2—m depth, where ambient pressure is 131 kPa.
Its critical cavitation number is known to be C,z = 0.25. At
what velocity will cavitation bubbles begin to form on the body? Will the body cavitate if V = 30 m/s and the water is
cold (5°C)? 291.75 An airplane ﬂies at 555 rui/h At what altitude in the stan— dard atmosphere will the airplane’s Mach number be
exactly 0.8? ...

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- Winter '08
- Chattot
- Fluid Dynamics, Fluid Mechanics, It, velocity distribution, linear velocity distribution