Differences method topology of hydrodynamic pressure calculations from Reynolds equation

• Autorzy: Wierzcholski K.
• Języki publikacji: EN

Abstrakty

EN

The main topic of the presented paper concerns the method of determination and calculations of the general and particular numerical solutions of modified Reynolds equation in curvilinear orthogonal coordinates for curvilinear boundary conditions for hydrodynamic pressure distributions in bearing gap. A general solution matrix was derived and determined for various orthogonal coordinates of two cooperating bearing surfaces separated by the oil existing in slide Journal bearings. From mathematical point presented method of solution of modified Reynolds equation leads this problem to resolving the partial recurrence non homogeneous, linear equation of second order with variable coefficients. As an example the numerical hydrodynamic pressure calculation for slide bearing two cylindrical surfaces limited bearing gap with various eccentricities was in this paper performed. In numerical calculations are applied the formulae and calculation algorithm derived in this paper. Moreover, presented numerical topology of calculations in this paper enables to find the optimum way of determination of pressure values for an applied difference method regarding to the stability of solutions, convergences of the obtained values with various orthogonal shapes of cooperating surfaces. An adaptation of the known numerical difference method to the various curvilinear orthogonal boundary conditions applied during the hydrodynamic pressure determination on the two various curvilinear cooperating surfaces, to be decisive after author knowledge about a new achievement consisted in presented paper.

Słowa kluczowe

EN

Reynolds equation; new numerical solution; urvilinear boundary conditions

• Wydawca: Łukasiewicz Research Network - Institute of Aviation ; European Science Society of Powertrain and Transport KONES Poland ; Wydawnictwo Instytutu Technicznego Wojsk Lotniczych
• Czasopismo: Journal of KONES
• Rocznik: 2010
• Tom: Vol. 17, No. 4
• Strony: 583--590
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Wierzcholski K.

• Pomeranian Academy Słupsk Institute of Applied Mathematics Arciszewskiego 22, 76-200 Słupsk, Poland tel: [phone],fax: [phone],

Bibliografia

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• [3] Schoenung, B. E., Numerische Stroemungsmechanik, Berlin, Heidelberg, New York 1990.
• [4] Wierzcholski, K., The method of solutions for hydrodynamic lubrication, Control and Cybernetics, Vol. 31, 1, pp. 91-116, 2002.
• [5] Wierzcholski, K., Computer simulations of short radial bearing capacity for Rivlin Ericksen oils, SAMS, Edited by A. Sydow, Gordon & Breach Sc. Pub. Vol. 33, 2, pp. 219-238, 1998.
• [6] Wierzcholski, K., Modelling and simulation of Rivlin Ericksen lubricant flow in journal bearing gap, System Analysis Modelling Simulation, Edited by A. Sydow, Gordon & Breach Science Publishers, Vol. 24, No. 1-3, pp. 153-163, 1996.
• [7] Wierzcholski, K., Method of solutions of synovial fluid squeeze flow in magnetic field for human joint gap, Journal of Applied Computer Science, Tech. Univ. Press Łódź, Vol. 10, No. 2, pp. 119-138, 2003.