Reynolds equation

Reynolds equation

[′ren·əlz i‚kwā·zhən]
(fluid mechanics)
A form of the Navier-Stokes equation which is ρ∂ u /∂ t = (∂/∂ x)(pxx - ρ u 2) + (∂/∂ y) · (pxy - ρ uv) + (∂/∂ z)(pxz - ρ uw) where ρ is the fluid density, u, v, and w are the components of the fluid velocity, and pxx , pxy , and pxz are normal and shearing stresses.
References in periodicals archive ?
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 [24].
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 [13] 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) [1].
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 [7].