Interdisciplinary Applied Mathematics

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J


l_p3


D


p4


p5

У


«+•-•+<


B



p2


F p6


lout


FIGURE 6.27. Description of the filter geometry studied in (Aktas et al., 2001).


nitrogen flow is simulated using DSMC for 10 ps time steps and diffuse reflection boundary conditions. The number of particles are consistent with the requirements given in Section 15.1. The flow is simulated for 1.8 p,s before the time averaging started. The flow is sampled and time-averaged for 0.6 to 1.7 p,s depending on the flow speed, where longer time averaging is employed for low subsonic flows.


TABLE 6.2.    Dimensions    of    the    filters    and    the    corresponding    flow    rates    at


AP = Pin — Pout = 0.3 atm.


Filter 1


Filter 2


Filter 3


Filter 4


Filter 5


hc (ftin)


1


1


0.2


1


0.05


lc(Atm)


1


5


1


10


1


hpfpm)


5


5


1


5


1


lin(Atm)


4


6


4


4


4


lout(Atm)


7


7


5


7


7


Knout


0.54


0.54


2.7


0.54


11


DSMC Flowrate


smA J


16.2


6.10


2.59


3.26


0.682


Flowrate using equation (4.6)


((.”■))


32.9


6.58


2.47


3.29


0.432


Estimated Re


5.7


2.1


0.18


1.1


0.048

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