long bearing and short bearing approximations) Reynolds equation
to represent the SFD dynamics, where it is assumed that the inertial SFD forces are negligible relative to the viscous forces (i.e.
As the hydrodynamic solution is performed within the EMBS solver execution the computational performance of the hydrodynamic solution on the basis of the Reynolds equation
is one of the key aspects.
Considering the surface roughness effect, the Reynolds equation
has been modified for an accurate THD analysis of the flow .
The final forms of the Reynolds equation
for the full piston sliding is:
Hence, the compressible Reynolds equation
for micro-grooved gas parallel slider bearings is expressed by:
Naduvinamani and Patil  obtained a numerical solution to finite modified Reynolds equation
for couplestress squeeze film lubrication of porous journal bearings.
According to the classic lubrication theory, the pressure distribution in the annular region of a squeeze film damper is determined by using Reynolds equation
, where it is assumed that the inertial forces are negligible relative to viscous forces (i.e., Re [approximately equal to] 0) .
The general form of the Reynolds equation
is shown in
The Reynolds equation
, which is derived from the Navier-Stokes (NS) equations using thin-film assumptions, is extensively used in tribological applications.
The SFD models are generally derived from the analytical solutions of Reynolds equation
or its other modified forms under a certain boundary conditions.
He focuses mainly on numerical solutions to the Reynolds equation
, energy equation, elastic deformation equation, and combinations of the three.
Governing equations of fluid flow such as continuity equation, heat transfer equation, momentum equation and Reynolds equation
for a turbulent fluid flow of a compressible fluid has been adopted to solve the CFD analysis .