Abstract
The theory of a spiral bearing with a quasi-incompressible lubricant, proposed by Whipple [1], and expanded in [2–4], deviates from experimental investigations, particularly with large values of the compressibility parameter and intermediate values of the Knudsen numbers. Investigations carried out in simplified models of a spiral bearing [6, 7] have shown that the compressibility of a gas layer lowers its bearing capacity. This effect manifests itself even more strongly with intermediate values of the Knudsen number. Therefore, attempts to take account of the effect of slip within the framework of the theory of a quasi-incompressible layer [8] do not achieve their purpose. The proposed theory of a spiral bearing takes account of the combined influence of both effects, and is in agreement with experiment.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 84–93, September–October, 1971.
The authors thank V. Idel'son, who carried out the required calculations at the Computational Center of the Siberian Branch of the Academy of Sciences of the USSR.
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Emel'yanov, A.V., Emel'yanova, L.S. Theory of a gas bearing with spiral grooves, taking account of the effects of slip and of local compressibility. Fluid Dyn 6, 799–807 (1971). https://doi.org/10.1007/BF01013863
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DOI: https://doi.org/10.1007/BF01013863