3. An engineer is considering the design of a positive-displacement vacuum pump. As the space being evacuated and reaches low pressure levels, the engineer realizes that the inlet flow to the pump may no longer be in a continuum regime. The inlet valve is 1 in in diameter and opens a maximum distance of 1/8 in on the intake stroke. The mean free path for the gas is given by A = where m is the mass of the molecule (equal to molecular weight/Avogadro's Number). For air m = 4.8 x 10 23 d 3.7 x 18cm. If the air tank is at a temperature of T = 50°F and pressure P 0.25 psia, is the continuum assumption for the inlet to the pump still valid? gm, and
3. An engineer is considering the design of a positive-displacement vacuum pump. As the space being evacuated and reaches low pressure levels, the engineer realizes that the inlet flow to the pump may no longer be in a continuum regime. The inlet valve is 1 in in diameter and opens a maximum distance of 1/8 in on the intake stroke. The mean free path for the gas is given by A = where m is the mass of the molecule (equal to molecular weight/Avogadro's Number). For air m = 4.8 x 10 23 d 3.7 x 18cm. If the air tank is at a temperature of T = 50°F and pressure P 0.25 psia, is the continuum assumption for the inlet to the pump still valid? gm, and
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Fluid mechanics . Show steps please.

Transcribed Image Text:3. An engineer is considering the design of a positive-displacement vacuum pump. As the space
being evacuated and reaches low pressure levels, the engineer realizes that the inlet flow to the
pump may no longer be in a continuum regime.
The inlet valve is 1 in in diameter and opens a maximum distance of 1/8 in on the intake
stroke. The mean free path for the gas is given by A
m
where m is the mass of the
Vžnd²p
molecule (equal to molecular weight/Avogadro's Number). For air m =
d 3.7 x 18cm. If the air tank is at a temperature of T = 50°F and pressure P =
is the continuum assumption for the inlet to the pump still valid?
gm, and
0.25 psia,
4.8 x 10-23
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