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EN
In the paper, the influence of both the bearing surfaces roughness as well as porosity of one bearing surface on the pressure distribution and load-carrying capacity of a curvilinear, externally pressurized, thrust bearing is discussed. The equations of motion of a pseudo-plastic Rabinowitsch fluid are used to derive the Reynolds equation. After general considerations on the flow in a bearing clearance and in a porous layer using the Morgan-Cameron approximation and Christensen theory of hydrodynamic lubrication with rough bearing surfaces the modified Reynolds equation is obtained. The analytical solution is presented; as a result one obtains the formulae expressing the pressure distribution and load-carrying capacity. Thrust radial and conical bearings, externally pressurized, are considered as numerical examples.
EN
In the paper the influence of both bearing surfaces roughness and porosity of one bearing surface on the pressure distribution and load-carrying capacity of a thrust bearing surfaces is discussed. The equations of motion of a pseudo-plastic fluid of Rotem-Shinnar, are used to derive the Reynolds equation. After general considerations on the flow in a bearing clearance and in a porous layer using the Morgan-Cameron approximation and Christensen theory of hydrodynamic lubrication the modified Reynolds equation is obtained. The analytical solutions of this equation for the cases of squeeze film bearing and externally pressurized bearing are presented. As a result one obtains the formulae expressing pressure distribution and load-carrying capacity. Thrust radial bearing with squeezed film is considered as a numerical example.
EN
In the paper the influence of bearing surfaces roughness on the pressure distribution and load-carrying capacity of a thrust bearing is discussed. The equations of motion of an Ellis pseudo-plastic fluid are used to derive the Reynolds equation. After general considerations on the flow in a bearing clearance and using the Christensen theory of hydrodynamic rough lubrication the modified Reynolds equation is obtained. The analytical solutions of this equation for the cases of a squeeze film bearing and an externally pressurized bearing are presented. As a result one obtains the formulae expressing pressure distribution and load-carrying capacity. A thrust radial bearing is considered as a numerical example.
EN
In the paper the influence of inertia forces on the pressure distribution and load-carrying capacity of a thrust bearing with curvilinear working surfaces is discussed. The equations of motion of a pseudo-plastic fluid of Rotem-Shinnar, including inertia term of a circumferential flow, are used to derive the modified Reynolds equation. As a result of an analytical solution of the modified Reynolds equation the formulae for the bearing performance are obtained. Step and spherical bearings are considered as examples.
EN
The paper addresses the problems of flow of Ellis pseudo-plastic fluid in the clearance of thrust bearing with curved surfaces. On the basis of analytic solutions to the equations of motion - presented in the orthogonal curvilinear coordinates system - formulae for pressure distribution are given. The research focuses on the determination of the effect of inertia components (suitably simplified equations of motion) on the flow area. The solutions obtained are illustrated with examples of flows in flat and spherical bearings.
PL
W artykule autorzy przedstawiają zagadnienia przepływu płynu pseudoplastycznego Ellisa w szczelinie krzywopowierzchniowego łożyska wzdłużnego. W oparciu o rozwiązania analityczne równań ruchu - przedstawionych w krzywoliniowym ortogonalnym układzie współrzędnych - podano formuły na rozkład ciśnienia. Badania w szczególności koncentrowały się na określeniu wpływu składników bezwładnościowych (odpowiednio uproszczonych równań ruchu) na pole przepływu. Otrzymane rozwiązania zilustrowano przykładami przepływów w łożyskach płaskich i kulistych.
EN
In the paper, the influence of inertial effects on pressure distribution in a thrust bearing having the curvilinear outline of working spaces is discussed. Quasi-linear equations of motion incorporating inertia elements of circumferential flow of a pseudo-elastic fluid are used to solve the problem. An analytical solution of the equations of motion rendered it possible to work out a formula for the determination of pressure distribution. A flat and spherical thrust bearing is considered as an example.
PL
W artykule autorzy omawiają wpływ efektów bezwładnościowych na rozkład ciśnienia w łożysku wzdłużnym o krzywoliniowym zarysie powierzchni roboczych. Do rozwiązania zagadnienia użyto quasi-liniowych równań ruchu, zawierających składniki bezwładności przepływu obwodowego płynu pseudoplastycznego. Analityczne rozwiązania równań ruchu pozwoliły na wyznaczenie formuły określającej rozkład ciśnienia. Jako przykład rozpatrzono łożysko wzdłużne płaskie i kuliste.
EN
Flow of pseudo-plastic fluid through a circular channel is considered in the paper. The problem was solved using the Rotem-Shinnar model. The solution was obtained using an analytic method. As a result, a formula defining the velocity distribution in a channel was received.
EN
Issues of the flat flow of pseudo-plastic fluid in a channel between parallel plates are presented in the paper. The problem was solved using the Ellis model. Based on the analytical solutions of movement equations, and with regard to the Ellis model equation, the velocity distribution in a flat channel was described.
9
Content available remote Flow of an Ellis fluid in a clearance between fix surfaces of revolution
EN
In this paper the authors present the flow of a pseudo-plastic fluid in curvilinear clearances between fix surfaces of revolution. The problem was solved using the Ellis fluid. Solving the equations of motion presented in an orthogonal curvilinear coordinate system formulae describing the pressure distribution were obtained. As an example the flow between two discs is considered.
EN
It is well known that lubricating oils, with viscosity index improver added, exhibit the non-Newtonian behavior the same as pseudo-plastic fluids. Starting from the most general fluid flow equation of the power law type expressing rate of shear in terms of powers of shear stress for non-Newtonian lubricants a modified form of Reynolds' equation is derived. The equation is solved by a perturbation method for the thrust bearing. The squeeze film bearing formed by two disks is discussed in detail.
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