Abstract
An analytical solution of the problem on the isothermal gas flow in a long tube with a permeable porous wall is derived. It is shown that this analytical solution can be used to calculate the optimal fiber length, including the nonporous permeable wall. The analysis of the application of the derived solution in studying the gas flow for various combinations of pressures p0, p1, and p2 is performed. Concrete examples of using the derived formulas, which have important practical applications, are considered. The results of the study can be used when designing the manufacturing apparatuses of various indentations.
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