Variational Rayleigh Problem of Gas Lubrication Theory. Low Compressibility Numbers

Abstract

The two-dimensional variational problem for a gas-lubricated slider bearing is considered. In the gas layer the pressure field is described by the linear Reynolds equation which corresponds to low compressibility numbers. The boundary conditions are the conditions of vanishing the excess pressure on the boundaries of the domain. The load capacity acts as the functional of the variational problem. The system of necessary conditions of extremum which underlies the calculation algorithm is analyzed qualitatively. The present study develops radically and supplements the results of author’s studies at the modern level of theoretical and computational possibilities.