Representation of velocity profiles in a capillary.
Klinkenberg parameter vs . (a) , (b) , and (c) . Dots are experimental data from Klinkenberg (Ref. 17) and Li et al. (Ref. 26). The lines are theoretical results from Eq. (35) using parameters shown in Table I.
Dimensionless parameter vs dimensionless pressure , considering a linear velocity profile in the non-Poiseuille region. The numbers at right represent the corresponding values of .
Maximum variation of [ from Eq. (48)] as a function of for different values of . From Eq. (37), , thus , which is the maximum variation of the Klinkenberg parameter —caused by pressure—relative to the conventional value, .
Error in total flow rate of gas obtained from Eq. (49) vs due to ignoring the transition flow regime in the formulation. The values shown on the curves correspond to pairs that originate them.
Parameters associated with theoretical curves plotted in Fig. 2. The parameter is a parameter derived from Eq. (36).
Values considered for theoretical calculations.
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