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Effect of transition from slip to free molecular flow on gas transport in porous media
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Image of FIG. 1.
FIG. 1.

Representation of velocity profiles in a capillary.

Image of FIG. 2.
FIG. 2.

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.

Image of FIG. 3.
FIG. 3.

Dimensionless parameter vs dimensionless pressure , considering a linear velocity profile in the non-Poiseuille region. The numbers at right represent the corresponding values of .

Image of FIG. 4.
FIG. 4.

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, .

Image of FIG. 5.
FIG. 5.

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.


Generic image for table
Table I.

Parameters associated with theoretical curves plotted in Fig. 2. The parameter is a parameter derived from Eq. (36).

Generic image for table
Table II.

Values considered for theoretical calculations.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Effect of transition from slip to free molecular flow on gas transport in porous media