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Solution of the nonlinear equation for isothermal gas flows in porous medium by Trefftz method

Uściłowska A., Kołodziej J. A.

Computer Assisted Mechanics and Engineering Sciences

2006

Vol. 13, No. 3

445-456

This paper presents numerical solution to a problem of the transient flow of gas within a two-dimensional porous medium. A method of fundamental solution for space variables and finite difference method for time variable are employed to obtain a solution of the non-linear partial differential equation describing the flow of gas. The inhomogeneous term is expressed by radial basis functions at each time steps. Picard iteration is used for treating nonlinearity.

Theoretical investigation of gas inertia effects on parameters of a bearing with curvilinear surfaces

Walicka A., Walicki E.

International Journal of Applied Mechanics and Engineering

2002

Vol. 7, no 3

1033-1043

Based on a first-order perturbation solution in a modified Reynolds number an analysis is presented to determine the effect of the inertial forces of an isothermal gas lubricant film on pressure distribution and other parameters of a bearing with curvilinear surfaces. The corrections to the pressure distribution are found to be small, but noticeable. It is also found that these corrections in the case of only rotational inertia forces are significant. Numerical results for thrust bearings with a constant film thickness are given in graphical form.