Comparing numerical and analytical solutions for squeeze-film levitation force

In this paper, a two-dimensional numerical study on the levitation force induced by pressure radiation in a gas squeeze film is carried out. In particular, the validity of the pressure release boundary condition and the isothermal assumptions are examined by a CFD scheme. The results are compared to a one-dimensional analytical solution, leading to findings on the role and accuracy of commonly used boundary conditions. It appears that when taking into consideration the energy leakage near the edges of the levitated object, the levitation force due to the squeeze film could be smaller by up to 50% in comparison with the analytical, one-dimensional solution that assumes pressure release conditions.