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Analysis of the load carrying capacities and the friction force in the gap of the slide journal bearing lubricated with a non-Newtonian oil described by a power-law model

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In this paper, the author presents the results of numerical calculations of load carrying capacities and friction forces in the gap of the slide journal bearing lubricated with an oil on the non-Newtonian's properties. In the studies, the power-law model has been assumed to describe the relationship between the stress tensors and shear rate tensors. The analytical and numerical calculations have been performed for the plain bearing, non-porous with a full wrap angle. It has been assumed isothermal, laminar and steady flow of lubricant in the gap of a slide bearing. Numerical calculations have been performed for the Gumbel’s boundary conditions and dimensionless lengths of the bearings like L=b/R =2;1.5;1; ½ and ¼. The flow-rate index and coefficient of consistency have been adopted based on the results of experimental studies of changes of dynamic viscosity in terms of a shear rate. It has been assumed that the apparent viscosity depends only on the shear rate. Dynamic viscosity of the engine oil, used in a gasoline engine with a capacity of 1800 cm3, has been tested on the Haake Mars III rheometer. The analytical solutions presented in the paper were based on more general derivations carried out by Professor K. Wierzcholski in his article: ‘Non-linear hydrodynamic lubrication in conjugated fields’ (publication in printing). In this paper, the key quantities such as components of vector of the velocity, hydrodynamic pressure and temperature were presented in the form of convergent power series. The values of load carrying capacities and friction forces were determined and compared for the event where the oil has properties of Newtonian and non-Newtonian. Calculations have been made for the dimensionless quantities.
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  • Gdynia Maritime University Faculty of Marine Engineering Morska Street 81-87, 81-225 Gdynia, Poland tel.: +48 585586348, fax: +48 585586399
Bibliografia
  • [1] Frycz, M., Horak, W., Effect of the magnetic particles concentration on the ferro-oil’s dynamic viscosity in presence of an external magnetic field in the aspect of shear rate’s variations, Journal of KONES, Vol. 20, No. 3, pp. 139-144, 2013.
  • [2] Khan, M., Nadeem, S., Hayat, T., Siddiqui, A. M., Unsteady Motion of a Generalized Second- Grade Fluid, Mathematical and Computer Modelling, Vol. 41, pp. 629-637, 2005.
  • [3] Machado, M., Costa, J., Seabra, E., Flores, P., The effect of the lubricated revolute joint parameters and hydrodynamic force models on the dynamic response of planar multibody systems, Nonlinear Dyn, Vol. 69, Issue 1, pp. 635-654, 2012.
  • [4] Miszczak, A., Analiza hydrodynamicznego smarowania ferrocieczą poprzecznych łożysk ślizgowych, Monografia, Fundacja Rozwoju Akademii Morskiej, Gdynia 2006.
  • [5] Mollica, F., Rajagopal, K. R., Secondary flow due to axial shearing of a third grade fluid between two eccentrically placed cylinders, Inter. J. of Eng. Sci., Vol. 37, pp. 411-429, 1999.
  • [6] Sharma, S. C., Yadav, S. K., Performance analysis of a fully textured hybrid circular thrust pad bearing system operating with non-Newtonian lubricant, Tribology International, Vol. 77, pp. 50-64, 2014.
  • [7] Sikora, G., Miszczak, A., Determination of the material coefficients of the selected lubrication oils including ageing process, Logistyka, No. 4, pp. 5641-5648, 2015.
  • [8] Silva, R. A., Marcelo Assato, M., de Lemos, M. J. S., Mathematical modeling and numerical results of power-law fluid flow, International Journal of Thermal Sciences, Vol. 100, pp. 126- 137, 2016.
  • [9] Wierzcholski, K., Teoria niekonwencjonalnego smarowania łożysk ślizgowych, Prace Naukowe Politechniki Szczecińskiej, No. 527, Szczecin 1995.
  • [10] Wierzcholski, K., The Lipschitz-Pickard Successive Step Method in Hydrodynamic Lubrication Problem, Journal of KONES Powertrain and Transport, Vol. 19, No. 1, pp. 483- 490, 2012.
  • [11] Yürüsoy, M., Bayrakçeken, H., Numerical method in the analysis of slider bearing with Power-law fluid, Applied Mathematics and Computation, Vol. 162, Iss. 1, pp. 491–501, 2005.
Uwagi
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Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
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Bibliografia
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bwmeta1.element.baztech-a9427a49-3763-478f-98d6-31706bf22085
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