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Peroral cholangioscopy-guided forceps biopsy and endoscopic scraper for the diagnosis of indeterminate extrahepatic biliary stricture
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Constitutive accessibility of circulating proteins to hippocampal neurons in physiologically normal rats
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Usefulness of the Lone Star Retractor System for harvesting the superficial temporal artery: technical note
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Spatiotemporal distribution and population dynamics in Arcuatula senhousia (Benson, 1842) in Ohashi River, Shimane Prefecture, Japan
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Study of fruiting body formation and clamp cell formation in the monokaryon of the edible mushroom Mycoleptodonoides aitchisonii (Bunaharitake)
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A model of micro lubrication between two walls with an arbitrary temperature difference based on kinetic theory
Get PDFMicro lubrication of a gas between two walls with an arbitrary temperature difference is studied on the basis of the Bhatnagar–Gross–Krook–Welander model of the Boltzmann equation. Applying the slowly varying approximation, the kinetic equation is studied analytically when the Knudsen number based on the gap size is large. The leading order approximation, which ought to be the solution of the nonlinear heat transfer problem, is replaced by its free molecular solution. Due to this crude approximation, a macroscopic lubrication model of Reynolds-type equation is derived in a closed form. For an assessment of the model, a direct numerical analysis of the kinetic equation is also conducted. The lift calculated using our model approximates that of the direct numerical analysis within the error of 4% uniformly in the range of the temperature ratio between 0.75 and 2 and the Knudsen number Kn between 0.1 and 10. A heating of the moving wall reduces the lift acting on the other wall when Kn is sufficiently large, whereas it is enhanced when Kn is sufficiently small
