Abstract
One-dimensional problems of isothermal gas filtration in a porous medium with a quadratic resistance law are considered. For the cases of plane and axial symmetry of the problem under constant initial conditions, analytical expressions for the gas pressure and velocity are obtained and an empirical formula for calculating the gas pressure is proposed.
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References
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Kudryashov, N.A., Shevyakov, A.F. Self-similar solutions of one-dimensional problems of gas filtration with a quadratic resistance law. J Eng Phys Thermophys 72, 1090–1098 (1999). https://doi.org/10.1007/BF02699456
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DOI: https://doi.org/10.1007/BF02699456