Interdisciplinary Applied Mathematics

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1.1


1.5379


2.1171


3.3192


1.2


1.5394


2.1164


3.3149


1.3


1.5427


2.1178


3.3136


1.4


1.5473


2.1209


3.3144


1.5


1.5530


1.7107


1.7999


1.8974


2.0046


2.1254


3.3171


2.0


1.5942


1.7503


1.8386


1.9352


2.0414


2.1625


3.3491


2.5


1.6480


1.8039


1.8918


1.9881


2.0939


3.0


1.7092


1.8653


1.9531


2.0493


2.1551


2.2748


3.4618


3.5


1.7751


1.9316


2.0196


2.1158


2.2217


4.0


1.8440


2.0013


2.0894


2.1858


2.2918


5.0


1.9883


2.1472


2.2356


2.3324


2.4388


2.5555


3.7496


6.0


2.1381


2.2988


2.3876


2.4848


2.5916


7.0


2.2914


2.4541


2.5433


2.6408


2.7480


2.8625


4.0633


9.0


2.6048


2.7722


2.8620


2.9601


3.0679


10.0


2.7638


2.9340


3.0241


3.1225


3.2305


3.3407


4.5490

a Solutions of BGK model equation. b Solutions of Boltzmann equation.


BGK kinetic    model is    also    valid    for    rarefied    pipe    flow,    and    the    discrep


ancy in the mass flowrate is about 2%. Here the normalized flowrate is defined as


Mv


FIGURE 15.16. Normalized flowrate versus the rarefaction parameter S = s/тт/(2Kn) for channel and pipe.

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