Bulletin of Bryansk state technical university Bulletin of Bryansk state technical university Вестник Брянского государственного технического университета 1999-8775 15604 10.12737/24884 Машиностроение и машиноведение Mechanical engineering Машиностроение и машиноведение COMPUTATION OF PRESSURE AND TEMPERATURE FIELDS IN LUBRICATING LAYER OF TAPERED HYDROSTATIC DYNAMIC BEARINGS РАСЧЁТ ПОЛЕЙ ДАВЛЕНИЙ И ТЕМПЕРАТУР В СМАЗОЧНОМ СЛОЕ КОНИЧЕСКИХ ГИДРОСТАТОДИНАМИЧЕСКИХ ПОДШИПНИКОВ Корнеев Андрей Юрьевич Korneev Andrey Юрьевич korneev_andrey@mail.ru. https://orcid.org/0009-0000-6950-0415 Ли Шенбо Li Shenbo hit4057@xmut.edu.cn Сямыньский технологический университет Россия Xiamen University of Technology Russian Federation 01 03 2017 01 03 2017 2017 1 12 24 https://zh-szf.ru/en/nauka/article/15604/view

Рассматривается методика расчета полей давлений и температур в смазочном слое конического гидростатодинамического подшипника. Обобщенное уравнение Рейнольдса, уравнения баланса энергий и баланса расходов, а также дополнительные соотношения для теплофизических свойств смазочного материала выводятся с учетом турбулентности, теплового эффекта и осевой скорости смазочного материала. Данная система решена численным методом конечных разностей. В связи с обратным течением смазочного материала на границах камер для решения уравнения баланса энергий был использован закон Патанкара для вычисления коэффициентов и постоянных условий дискретного уравнения.

The paper reports the consideration of the procedure for the computation of pressure and temperature fields in a lubricating layer of a tapered hydrostatic dynamic bearing based on a joint solution of Reynolds equations, a balance of energies and a balance of expenses and also additional correlations for thermal-physical properties of lubricating material taking into account turbulence and a thermal effect. The solution of this system was carried out through a numerical method of finite differences. The theoretical and experimental investigations show that lubricating material in a tapered hydrostatic dynamic bearing ensures a sufficient carrying capacity. This work offers the use of results shown for the analysis of rotor systems on tapered bearings and it will be useful for scientific workers and engineers dealing with the problems of computation and design of slider bearings in highspeed systems.

конический гидростатодинамический подшипник поле давлений поле температур уравнение Рейнольдса уравнение баланса энергий уравнение баланса расходов метод конечных разностей tapered hydrostatic dynamic bearing pressure field temperature field Reynolds equation equation of energy balance equation of expense balance method of finite differences

Prabhu, T.J. Analysis of Multirecess Conical Hydrostatic Thrust Bearings under Rotation / T.J.Prabhu, N.Ganesan // Wear. - 1983. - № 89 (1). - Р. 29-40. Prabhu, T.J. Analysis of Multirecess Conical Hydrostatic Thrust Bearings under Rotation / T.J.Prabhu, N.Ganesan // Wear. - 1983. - № 89 (1). - Р. 29-40. Khalil, M.F. Effect of Inertia Forces on The Performance of Externally Pressurized Conical Thrust Bearings under Turbulent Flow Conditions / M.F.Khalil, S.Z.Kazzab, A.S.Ismail // Wear. - 1993. - № 166 (2). - Р. 155-161. Khalil, M.F. Effect of Inertia Forces on The Performance of Externally Pressurized Conical Thrust Bearings under Turbulent Flow Conditions / M.F.Khalil, S.Z.Kazzab, A.S.Ismail // Wear. - 1993. - № 166 (2). - Р. 155-161. Kalita, W. On the Laminar Flow Characteristics of Conical Bearings. P. 1. Analytical Approach / W.Kalita, C.M.Rodkiewicz, J.S.Kennedy // Journal of Tribology, Transactions of the ASME. - 1986. - № 108 (1). - Р. 53-58. Kalita, W. On the Laminar Flow Characteristics of Conical Bearings. P. 1. Analytical Approach / W.Kalita, C.M.Rodkiewicz, J.S.Kennedy // Journal of Tribology, Transactions of the ASME. - 1986. - № 108 (1). - Р. 53-58. Sinha, P. Convection and Dissipation Effects in Oil Lubricated Conical Bearings with Variable Viscosity / P.Sinha, C.M.Rodkiewicz // Journal of Tribology, Transactions of the ASME. - 1991. - № 113 (2). - Р. 339-342. Sinha, P. Convection and Dissipation Effects in Oil Lubricated Conical Bearings with Variable Viscosity / P.Sinha, C.M.Rodkiewicz // Journal of Tribology, Transactions of the ASME. - 1991. - № 113 (2). - Р. 339-342. Kennedy, J.S. Thermal Effects in Externally Pressurized Conical Bearings with Variable Viscosity / J.S.Kennedy, P.Sinha, C.M.Rodkiewicz // Journal of Tribology, Transactions of the ASME. - 1988. - № 10 (2). - Р. 201-211. Kennedy, J.S. Thermal Effects in Externally Pressurized Conical Bearings with Variable Viscosity / J.S.Kennedy, P.Sinha, C.M.Rodkiewicz // Journal of Tribology, Transactions of the ASME. - 1988. - № 10 (2). - Р. 201-211. Jeng, M.C. Comparison of Thermal Effects on the Conical-Cylindrical Bearing with 2-D и 3-D Energy Equations / M.C.Jeng, Y.K.Yang // Tribology Trans-actions. - 2002. - № 45(1). - Р. 68-85. Jeng, M.C. Comparison of Thermal Effects on the Conical-Cylindrical Bearing with 2-D и 3-D Energy Equations / M.C.Jeng, Y.K.Yang // Tribology Transactions. - 2002. - № 45(1). - Р. 68-85. Satish, C.S. Influence of Wear on the Performance of a Multirecess Conical Hybrid Journal Bearing Com-pensated with Orifice Restrictor / C.S.Satish, M.Vikas, S.C.Phalle // Tribology International. - 2011. - № 44. - Р. 1754-1764. Satish, C.S. Influence of Wear on the Performance of a Multirecess Conical Hybrid Journal Bearing Compensated with Orifice Restrictor / C.S.Satish, M.Vikas, S.C.Phalle // Tribology International. - 2011. - № 44. - Р. 1754-1764. Xia, H.Q. The Research of Static Properties of Hybrid Stairs Cone Sliding Bearing / H.Q.Xia, X.L.Fang // Journal of Zhengzhou Institute of Technology. - 1988. - № 9(4). - Р. 89-97. Xia, H.Q. The Research of Static Properties of Hybrid Stairs Cone Sliding Bearing / H.Q.Xia, X.L.Fang // Jour-nal of Zhengzhou Institute of Technology. - 1988. - № 9(4). - Р. 89-97. Fang, X.L. The Analysis of Static and Dynamic Cha-racteristics of Hybrid Conical Bearing / X.L.Fang, X.H.He // Jour-nal of Changsha Communication College. - 1997. - № 13(3). - Р. 17-24. Fang, X.L. The Analysis of Static and Dynamic Characteristics of Hybrid Conical Bearing / X.L.Fang, X.H.He // Journal of Changsha Communication College. - 1997. - № 13(3). - Р. 17-24. Korneev, A.Yu. Conical Bearings of Liquid friction / A.Yu.Korneev, L.A.Savin, O.V.Solomin. - Orel: Ma-shinostroenie-1, 2008. - Р. 40-54. Korneev, A.Yu. Conical Bearings of Liquid friction / A.Yu.Korneev, L.A.Savin, O.V.Solomin. - Orel: Mashinostroenie-1, 2008. - Р. 40-54. Xu, S.Х. Hydrostat-ic or Pressure and Hybrid Bearing Design / S.Х.Xu. - Publishing House of Southeast University, 1989. - Р. 119-120. Xu, S.Х. Hydrostat-ic or Pressure and Hybrid Bearing Design / S.Х.Xu. - Publishing House of Southeast University, 1989. - Р. 119-120. Patankar, S.V. Numerical Heat Transfer and Fluid Flow / S.V.Patankar, Z.Zhang. - Scence Publishing Company, 1984. - Р. 40-43. Patankar, S.V. Numerical Heat Transfer and Fluid Flow / S.V.Patankar, Z.Zhang. - Scence Publishing Company, 1984. - Р. 40-43.