A n~athematical model is introduced to study the effects of journal misalignment on the hydrodynamic lubrication performance offitlire flexible porous journal bearings. A modified form of Reynolds equation, which was derived from the Brinkman-extended Darcy equations and Stokes' equations, is utilized in the present study. The journal misalignment is allowed to vary in magnitude as well as in direction with respect to the bearing boundaries.The predicted pe~ormance characteristics of porous journal bearings are compared with available theoretical and experin1et1-tal results. The effects of the degree and angle of n~isalignmet~t, and the permeability of the porous liner on the pressure distribution, load-carrying capacity, friction coefficient and misalignment moment are presented and discussed.
KEY WORDSJournal Bearings; Hydrodynamic Lubrication; Porous Bearings; Misalignment = radial clearance, m = flexibility parameter, Eq. [I31 . = degree of misalignment = eccentricity, m = modulus of elasticity of the bearing liner, Pa = friction coefficient = cavitation index, Eq. [7] = film thickness, m = dimensionless film thickness, H = h / c = permeability of bearing material, ni2 = dimensionless permeability, K = k / c2 = length of the bearing, m = misalignment moment, N.m 2 2 = dimensionless misalignment moment, mc2 /(poUR L ) = number of internal nodal points in 0 -direction = number of internal nodal points in z-direction = pressure of lubricant film, Pa = cavitation pressure, Pa = oil supply pressure, Pa =dimensionless pressure, P = pc2 I(poUR) = dimensionless cavitation pressure, P = pcc2 I(poUR) z dimensionless supply pressure, P = p c~2 /(poUR) = side leakage flow, m3 /s = dimensionless side leakage flow, Ql = qs /(URc) = radius of the journal, m = stress jump parameter = thickness of the bearing liner, m = velocity of the lubricant film in x-direction, m/s = dimensionless velocity of the lubricant film in x-direction, ii = u/U = surface velocity of the journal, U = oR, m/s = velocity of the lubricant film in z-direction = dimensionless velocity of the lubricant film in z-direction, 4 = w/U = total load capacity of the bearing, N = dimensionless total load capacity of the bearing, w = w ,~,~~ I ( P~U R~L ) = bearing coordinates in circumferential, radial, and axial directions, respectively = dimensionless coordinates in circumferential, radial, and axial directions, respectively, X = x / R, Y = y / c, Z = z / L = dimensionless parameter, a = (p* / p)In = bulk modulus of the lubricant, Pa = dimensionless bulk modulus,D = ,~' c~/ (~~U R ) = angle of misalignment = dimensionless thickness of the bearing liner, A = rl / c = eccentricity ratio, eo / c = under-relaxation factor = angular coordinate, rad = viscosity of the lubricant in the film region, P a s = effective viscosity of the lubricant in the porous matrix, Pa s = viscosity of the lubricant at atmospheric pressure, Pa s = dimensionless viscosity of the lubricant, = @//lo = Poisson's ratio of the porous liner material = lubricant density, kg m-3 = lubricant de...