$$$ Current Year: 2010 Month: 2 Day: 21 $$$ **************************************************************************** MIXED ELASTOHYDRODYNAMIC LUBRICATION: A POINT CONTACT CASE INPUT DATA ----------- CASE DESCRIPTION: Progressive Mesh Densification, 64x64 -> 256x256 GEOMETRIC PARAMETERS Radius of curvature of Body A in X direction: 15.000000 mm Radius of curvature of Body B in X direction:************ mm Radius of curvature of Body A in Y direction: 15.000000 mm Radius of curvature of Body B in Y direction:************ mm OPERATING CONDITIONS Applied normal load: 400.0000 N Surface velocity of Body A: 17.50000000 m/s Surface velocity of Body B: 22.50000000 m/s Rolling Velocity: 20.00000000 m/s Slide-To-Roll Ratio: 0.25000000 Ambient temperature of Body A: 25.0000 deg.C Ambient temperature of Body B: 25.0000 deg.C MATERIAL PROPERTIES OF TWO BODIES Body A Body B Unit Young's modulus: 206.000000 206.000000 GPa Poisson's ratio: 0.300000 0.300000 Density: 7.865000 7.865000 g/cm**3 Conductivity: 46.000000 46.000000 W/(m.deg.C) Specific heat: 0.460000 0.460000 N.m/(g.deg.C) SMOOTH SURFACES ASSUMED. Sigma=0.0 LUBRICANT PROPERTIES Lubricant Name: Mineral Oil Kinematic Viscosity: 37.5000 cSt at 40.000 deg.C 9.7000 cSt at 100.000 deg.C Dynamic Viscosity at Inlet: 0.05500000 Pa.s Pressure-Viscosity Coeff. AL: 25.700000 1/GPa Pressure-viscosity Coeff. AL2: 0.720000 1/GPa Exponent CAK for Power Law: 0.000000 Density at room temperature: 0.880000 g/cm**3 Thermal Conductivity: 0.145000 W/(m.deg.C) Boundary Friction Coefficient: 0.200000 KINEMATIC VISCOSITY EQUATION for Mineral Oil lg ( lg ( v + 0.6)) = 0.00000 + ( 0.00000 * lg T ) where kinematic viscosity v is in cSt temperature T is in degree K DYNAMIC VISCOSITY EQUATION for Mineral Oil ET = ETO * EXP [ AL * P + ( BET + GAM * P )( 1/T - 1/TO )] where ET is the dynamic viscosity at temperature T and pressure P ETO is the dynamic viscosity at temperature TO and atmospheric pressure ETO =0.0550000000 Pa.s AL is the pressure-viscosity exponent AL = 25.70000000 1/GPa BET is the temperature-viscosity exponent BET = 0.0000 deg.K GAM is the pressure-temperature-viscosity exponent GAM = 0.00000000 deg.K/GPa temperatures T and TO are in deg.K TO = 0.0000 deg.K pressure P is in GPa **************************************************************************** RESULTS OF CALCULATION ---------------------- Actual Hertzian Contact Parameters: Ph= 1.6395462 A= 0.34130 B= 0.34130 K= 1.00000 553 E0= 226.37363 RX= 15.0000 RY= 15.0000 PLMT= ********* GPa NTC= 250 KSURF= 0 KFLOOD= 0 KRHEO= 0 KPLMT= 0 KFRCTMP= 2 PLMT= 100.0000 NSTART= 3 KFFT= 1 KHALF= 1 HLIM= 0.000 nm HAA= 0.00000000 Numerical Solution Control Parameters: Wedge Term Scheme_X: Blue-DXR Squeeze Term Scheme_T: Blue-DXR dT to dX Correlation Ratio: 1 dS/dX Differential Scheme: 2nd Central Roughness Interpolation Level: 2nd Order Correlation Between DXR and DX: Independent Correlation Between DYR and DY: Independent Recalculate DX1,DX2 Using D1,D2 for SIN: Yes Dimensionless Time Step Length: 0.0416670 Lowest Mesh Level and First Level Mesh Numbers M/N: 2 32 / 32 Delta_S1= 0.0364586 Delta_S2= 0.0468754 Delta_T= 0.0416670 X0 = 0.0000 Y0 = 0.0000 from Smooth.dat Dimensionless Parameters and Film Thickness Estimates by Conventional Theories for Point Contacts: Material Parameter GR = 5817.80262 Speed Parameter UR =0.323948E-09 Load Parameter WR =0.785329E-05 Viscosity Parameter Gv =0.268512E+08 Elasticity Parameter Ge =0.232195E+06 Load Parameter M =0.611537E+02 Materials Parameter L =0.293518E+02 Ellipticity Parameter K = 1.000000 Slide-To-Roll Ratio S = 0.250000 Hc from EHL Theory =0.181114E-03 2716.7035 nm Hm from EHL Theory =0.104138E-03 1562.0630 nm Hc from Isovisc-Rigid Theory =0.238409E-06 3.5761 nm Hc from Piezovisc-Rigid Theory =0.577521E-05 86.6281 nm Hc from Isovisc-Elastic Theory =0.340449E-04 510.6740 nm Hm from Isovisc-Elastic Theory =0.219449E-04 329.1741 nm Film Thickness Hc(Ge,Gv)=0.106440E+06 Film Thickness Hm(Ge,Gv)=0.612012E+05 Film Thickness Hc(M,L) =0.711538E+01 Film Thickness Hm(M,L) =0.409124E+01 Nominal Lambda Ratio =16894.448786 Inlet Distance X0 = 1.900000 Outlet Distance Xe = 1.100000 Lateral Distance Y0 = 1.500000 Minimum X0 Required for Flooded= 2.747557 Ratio of HcActual to HcFlood = 0.824946 Pressure-Viscosity Relation: Barus Law, AL= 25.7000012 Calculated Load/Input Load = 1.00008792 KLEV = 2 Calculated Load/Input Load = 1.00008792 KLEV = 2 FW =-.254636E-01 KLEV = 2 M = 64 N = 64 Dx = 0.0468750 Dy = 0.0468750 X0 =-1.9000000 Xe = 1.1000000 Y0 =-1.5000000 Timing Starts (sec)= 3.21362060000000 NT= 50 IT= 12 Er=0.001970481 0.00457196 Ha=0.00634248 2164.700 nm CPU= 19.6 ************** Mesh Level Changed From 2 To 3 at NT= 60 ************** NT= 100 IT= 12 Er=0.000582798 0.00056368 Ha=0.00692326 2362.924 nm CPU= 83.1 ************** Mesh Level Changed From 3 To 4 at NT= 144 ************** NT= 160 IT= 12 Er=0.001023886 0.00034724 Ha=0.00709073 2420.082 nm CPU= 303.7 NT= 180 IT= 12 Er=0.000608569 0.00022185 Ha=0.00709244 2420.664 nm CPU= 510.1 NT= 200 IT= 12 Er=0.000394319 0.00015601 Ha=0.00708852 2419.328 nm CPU= 722.8 NT= 220 IT= 12 Er=0.000288547 0.00012227 Ha=0.00708399 2417.779 nm CPU= 936.2 NT= 240 IT= 12 Er=0.000233621 0.00010359 Ha=0.00708182 2417.040 nm CPU= 1151.9 IT= 12 Err=.00009768 H0=-0.0159190 HR0=-0.0159189 HHR0=-0.0159187 Pa= 0.96192 NCONT = 5725 ER= 0.00021821 NT= 250 Max. Shear Stress = 0.324641 at X= 0.080469 Y= 0.000000 Z= 0.480000 NT= 250 Current X0= -1.9000 HC= 0.007102778 0.161613E-03 2424.192 nm Estimated X0= -2.748 Estimated HCs/HC= 0.82495 HMIN=1705.504 nm NTC= 250 KSURF= 0 KFLOOD= 0 KRHEO= 0 KPLMT= 0 KFRCTMP= 2 PLMT= 100.0000 NSTART= 3 KFFT= 1 KHALF= 1 HLIM= 0.000 nm HAA= 0.00000000 KLEV = 4 M = 256 N = 256 Dx = 0.0117188 Dy = 0.0117188 X0 =-1.9000000 Xe = 1.1000000 Y0 =-1.5000000 SUMMARY OF RESULTS: Central Film Thickness(For smooth): 0.710278E-02 2424.1923 nm Average Film Thickness at Center: 0.708202E-02 2417.1086 nm Minimum Film THickness: 0.499705E-02 1705.5036 nm Film Thickness (Lambda) Ratio: 1.20855 Contact Load Ratio Wc: 0.00000 % Contact Area Ratio Ac: 0.00000 % RMS Roughness after Deformation: 0.02007 micron Pressure Peak Height: 1.32336 2169.710635 MPa Inlext Distance X0: 1.900000 Coefficient of Friction: 0.04749326 Max.Flash Temperature Rise - Body A: 86.8161 Deg.C Max.Flash Temperature Rise - Body B: 76.9764 Deg.C Accumulated Wear - Body A: 0.000000E+00 mm**3 Accumulated Wear - Body B: 0.000000E+00 mm**3 Timing Starts at (sec)= 3.2136 Timing stops at (sec) = 1638.6657 Total CPU Time (sec) = 1635.4521