This paper presents a numerical investigation of the coefficients used in the transition Reynolds equation model [1], which is applicable to the transition flow of thin films in long journal bearings. Calculations show that the overall coefficient A1(Reh) increases with the increase of Reynolds number, while the other overall coefficient A2(Reh) decreases with the increase of Reynolds number. A1(Reh) is always positive and A2(Reh) is always negative. The magnitude of both A1(Reh) and A2(Reh) is larger for the larger clearance ratio C/R at the same Reynolds number. The curves of A1(Reh) or A2(Reh) for different clearance ratios tend to collapse to one when Taylor number is used as the abscissa, particularly when Taylor number is less than 70. With these coefficients determined the model presented in [1] is fully usable.

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