Inertia effects on the dynamics of a disk levitated by incompressible laminar fluid flow

Conference · Sat Jan 01 04:00:00 EST 1983

OSTI ID:6334484

Warinner, D K; Pearson, J T

This paper develops a nonlinear ordinary differential equation (ODE) of motion for a disk parallel to a flat plate and levitated by incompressible laminar flow of fluid supplied from a central orifice. The fluid's inertia, reflected in high mass flow rates, is accounted for. The transient flow velocity and pressure field are found by iterative integration of the Navier-Stokes equation to determine the ODE for the time-dependent height of the disk (or fluid film thickness). The film thickness is found by not only numerically integrating the ODE, but also by linearizing the equation to obtain a closed-form solution. The results of this combined squeeze-film, source-flow case compare favorably with experimental data presented which span cases from negligible inertia (viscous dominance) to cases of inertia dominance. Fortunately, the closed-form solution differs only slightly from the numerical solution; this provides relatively accurate expressions for the frequncies and damping coefficients in terms of the geometry, load (or weight of disk), mass flow rate, and the fluid properties.

• Research Organization: Argonne National Lab., IL (USA); Purdue Univ., Lafayette, IN (USA). School of Mechanical Engineering
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 6334484
• Report Number(s): CONF-830309-3; ON: DE83009456
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
CIRCULAR CONFIGURATION
CONFIGURATION
DATA
DYNAMICS
EXPERIMENTAL DATA
FLOW RATE
FLUID FLOW
FLUID MECHANICS
HYDRODYNAMICS
INCOMPRESSIBLE FLOW
INFORMATION
LAMINAR FLOW
LEVITATION
MATHEMATICAL MODELS
MECHANICS
MOTION
NUMERICAL DATA
PLATES
THEORETICAL DATA