Chemical and Petroleum Engineering

, Volume 46, Issue 9–10, pp 600–610 | Cite as

Simplified method of calculating a series of parameters in slotted channels during laminar flow of a medium

  • V. A. Melnik

This paper presents analytical relationships, which were derived on the basis of Reynolds equations for a layer of lubricant, and which are required for the design of chink seals operating in a laminar flow regime. The wedge shape of the sealing channel, which is typical for chink seals under force- and temperature-induced loads, is assumed as a basis of the model. The qualities of the geometry of the wedge-shaped channels are analyzed, optimization parameters selected, and recommendations cited for selection of the design dimensions and shape of the slot. Relationships for the pressure, bearing-force, and stiffness diagrams of the liquid layer in the slotted channel, and also losses for a typical series of running clearances in the chink seal are presented. The solutions obtained are applicable for analyses of couplings subjected to the flow of a medium in wedge-shape channels. This form of channel develops in the longitudinal direction in the annular slot of a plunger pair, and also during the operation of a chink seal or bearing with a socket lubricant feed owing to deformation of components of the shaft and housing bushing, which form an annular channel, as well as the eccentricity and intersection of the axes.


Inertial Force Reynolds Equation Unit Width Annular Channel Isothermal Flow 
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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • V. A. Melnik
    • 1
  1. 1.VIGO SMIT CompanyMoscowRussia

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