AN ANALYSIS OF HYDRODYNAMIC PRESSURE DISTRIBUTION AND LOAD CARRYING CAPACITY OF A CONICAL SLIDE BEARING LUBRICATED WITH NON -NEWTONIAN SECOND GRADE FLUI
Autor: | A. Miszczak, Adam Czaban |
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Rok vydání: | 2019 |
Předmět: |
Bearing (mechanical)
Materials science Distribution (number theory) Hydrodynamic pressure 02 engineering and technology Mechanics Conical surface 01 natural sciences Load carrying Non-Newtonian fluid 010305 fluids & plasmas law.invention Physics::Fluid Dynamics 020303 mechanical engineering & transports 0203 mechanical engineering law 0103 physical sciences |
Zdroj: | Tribologia. 284:83-95 |
ISSN: | 1732-422X 0208-7774 |
DOI: | 10.5604/01.3001.0013.4153 |
Popis: | In this paper, the authors present the equations of the hydrodynamic lubrication theory for conical slide bearings lubricated with the oil with properties described by the Rivlin-Ericksen model. It is assumed, that the considered lubricating oil shows non-Newtonian properties, i.e. it is an oil for which, apart from the classic dependence of oil viscosity on pressure, temperature and operating time, there is also a change in dynamic viscosity values caused by the changes of shear rate. The method of a small parameter was used to solve the conservation of momentum, stream continuity, and energy conservation equations. The small parameter method consists in presenting the sought functions (pressure, temperature, components of the velocity vector) in the form of a uniformly convergent series expansion in powers of a constant small parameter. These functions are substituted into the system of basic equations, and then the series are multiplied by the Cauchy method. By a comparison of the coefficients with the same powers of a small parameter, we obtain systems of partial differential equations, from which the subsequent approximations of unknowns of the sought functions are determined. The small parameter method separates the non-linear system of partial differential equations and creates several linear systems of equations. The aim of this work is to derive the equations describing and allowing the determination of the temperature distribution, hydrodynamic pressure distribution, velocity vector components, load carrying capacity, friction force and friction coefficient in the gap of conical slide bearing, lubricated with the oil of the properties described by the Rivlin-Ericksen model, taking into account its viscosity changes due to time of operation. |
Databáze: | OpenAIRE |
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