BS ISO 7902-1:2020 pdf download – Hydrodynamic plain journal bearings under steady-state conditions — Circular cylindrical bearings — Part 1: Calculation procedure 5.2 Assumptions and preconditions The following idealizing assumptions and preconditions are made, the permissibility of which has been sufficiently confirmed both experimentally and in practice. a) The lubricant corresponds to a Newtonian fluid. b) All lubricant flows are laminar. c) The lubricant adheres completely to the sliding surfaces. d) The lubricant is incompressible. e) The lubricant clearance gap in the loaded area is completely filled with lubricant. Filling up of the unloaded area depends on the way the lubricant is supplied to the bearing. f) Inertia effects, gravitational and magnetic forces of the lubricant are negligible. g) The components forming the lubrication clearance gap are rigid or their deformation is negligible; their surfaces are ideal circular cylinders. h) The radii of curvature of the surfaces in relative motion are large in comparison with the lubricant film thicknesses. i) The lubricant film thickness in the axial direction (z-coordinate) is constant. j) Fluctuations in pressure within the lubricant film normal to the bearing surfaces (y-coordinate) are negligible. k) There is no motion normal to the bearing surfaces (y-coordinate). l) The lubricant is isoviscous over the entire lubrication clearance gap. m) The lubricant is fed in at the start of the bearing liner or where the lubrication clearance gap is widest; the magnitude of the lubricant feed pressure is negligible in comparison with the lubricant film pressures. 5.3 Boundary conditions The boundary conditions for the generation of lubricant film pressure fulfil the following continuity conditions: — at the leading edge of the pressure profile: p z ϕ 1 0 , ( ) = ; — at the bearing rim: p z B ϕ , / =± ( ) = 2 0 ; 5.4 Basis of calculation The numerical integration of the Reynolds equation is carried out (possibly by applying transformation of pressure as suggested in References [5], [13] and [14]) by a transformation to a differential formula which is applied to a grid system of supporting points, and which results in a system of linear formulae. The number of supporting points is significant to the accuracy of the numerical integration; the use of a non-equidistant grid as given in References [8] and [15] is advantageous. After substituting the boundary conditions at the trailing edge of the pressure profile, integration yields the...
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