$$$ Current Year: 2010 Month: 2 Day: 21 $$$ **************************************************************************** MIXED ELASTOHYDRODYNAMIC LUBRICATION: A POINT CONTACT CASE INPUT DATA ----------- CASE DESCRIPTION: Smooth in an Elliptical Contact GEOMETRIC PARAMETERS Radius of curvature of Body A in X direction: 43.121000 mm Radius of curvature of Body B in X direction:************ mm Radius of curvature of Body A in Y direction: 20.000000 mm Radius of curvature of Body B in Y direction:************ mm OPERATING CONDITIONS Applied normal load: 2500.0000 N Surface velocity of Body A: 0.43750000 m/s Surface velocity of Body B: 0.56250000 m/s Rolling Velocity: 0.50000000 m/s Slide-To-Roll Ratio: 0.25000000 Ambient temperature of Body A: 120.0000 deg.C Ambient temperature of Body B: 120.0000 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: Transmission Fluid Kinematic Viscosity: 50.5000 cSt at 37.778 deg.C 15.0000 cSt at 98.889 deg.C Dynamic Viscosity at Inlet: 0.01119000 Pa.s Pressure-Viscosity Coeff. AL: 14.940000 1/GPa Pressure-viscosity Coeff. AL2: 0.720000 1/GPa Exponent CAK for Power Law: 0.000000 Density at room temperature: 0.866000 g/cm**3 Thermal Conductivity: 0.145000 W/(m.deg.C) Boundary Friction Coefficient: 0.250000 KINEMATIC VISCOSITY EQUATION for Transmission Fluid 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 Transmission Fluid 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 =0.0111900000 Pa.s AL is the pressure-viscosity exponent AL = 14.94000000 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= 1.9611554 A= 1.00718 B= 0.60431 K= 0.60000 501 E0= 226.37363 RX= 43.1210 RY= 20.0000 PLMT= ********* GPa NTC= 750 KSURF= 0 KFLOOD= 0 KRHEO= 1 KPLMT= 0 KFRCTMP= 0 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: 0.0277781 Lowest Mesh Level and First Level Mesh Numbers M/N: 2 48 / 32 Delta_S1= 0.0243058 Delta_S2= 0.0312504 Delta_T= 0.0277781 X0 = 0.0000 Y0 = 0.0000 from Smooth.dat Dimensionless Parameters and Film Thickness Estimates by Conventional Theories for Point Contacts: Material Parameter GR = 3382.02223 Speed Parameter UR =0.573173E-12 Load Parameter WR =0.593932E-05 Viscosity Parameter Gv =0.215683E+13 Elasticity Parameter Ge =0.352149E+11 Load Parameter M =0.536105E+04 Materials Parameter L =0.349949E+01 Ellipticity Parameter K = 0.600004 Slide-To-Roll Ratio S = 0.250000 Hc from EHL Theory =0.170275E-05 73.4244 nm Hm from EHL Theory =0.743753E-06 32.0714 nm Hc from Isovisc-Rigid Theory =0.273053E-12 0.0000 nm Hc from Piezovisc-Rigid Theory =0.920329E-09 0.0397 nm Hc from Isovisc-Elastic Theory =0.473413E-06 20.4140 nm Hm from Isovisc-Elastic Theory =0.277758E-06 11.9772 nm Film Thickness Hc(Ge,Gv)=0.182833E+09 Film Thickness Hm(Ge,Gv)=0.798603E+08 Film Thickness Hc(M,L) =0.159035E+01 Film Thickness Hm(M,L) =0.694658E+00 Nominal Lambda Ratio =************ Inlet Distance X0 = 1.800000 Outlet Distance Xe = 1.200000 Lateral Distance Y0 = 1.500000 Minimum X0 Required for Flooded= 1.075163 Ratio of HcActual to HcFlood = 1.000000 Pressure-Viscosity Relation: Barus Law, AL= 14.9400007 Calculated Load/Input Load = 0.99992979 KLEV = 2 Calculated Load/Input Load = 0.99992979 KLEV = 2 FW =-.233211E-03 KLEV = 2 M = 96 N = 64 Dx = 0.0312500 Dy = 0.0468750 X0 =-1.8000000 Xe = 1.2000000 Y0 =-1.5000000 Timing Starts (sec)= 3470.67904780000 NT= 50 IT= 64 Er=0.000194936 0.00101434 Ha=0.00000083 0.840 nm CPU= 3500.6 ************** Mesh Level Changed From 2 To 3 at NT= 90 ************** NT= 100 IT= 151 Er=0.000196439 0.00116518 Ha=0.00000000 0.000 nm CPU= 3561.3 NT= 150 IT= 80 Er=0.000199464 0.00067028 Ha=0.00000602 6.066 nm CPU= 3724.8 NT= 200 IT= 56 Er=0.000195113 0.00042922 Ha=0.00002308 23.242 nm CPU= 3832.9 ************** Mesh Level Changed From 3 To 4 at NT= 216 ************** NT= 220 IT= 147 Er=0.000199414 0.00042238 Ha=0.00002505 25.225 nm CPU= 3960.9 NT= 240 IT= 96 Er=0.000196751 0.00029442 Ha=0.00002530 25.481 nm CPU= 4272.7 NT= 260 IT= 84 Er=0.000199779 0.00023913 Ha=0.00002519 25.371 nm CPU= 4523.2 NT= 280 IT= 74 Er=0.000197455 0.00018596 Ha=0.00002503 25.206 nm CPU= 4732.0 NT= 300 IT= 65 Er=0.000198190 0.00015429 Ha=0.00002628 26.467 nm CPU= 4915.5 NT= 320 IT= 56 Er=0.000199320 0.00012828 Ha=0.00002985 30.061 nm CPU= 5078.7 NT= 340 IT= 50 Er=0.000197653 0.00011061 Ha=0.00003416 34.402 nm CPU= 5223.3 NT= 360 IT= 44 Er=0.000199958 0.00009618 Ha=0.00003818 38.455 nm CPU= 5352.9 NT= 380 IT= 41 Er=0.000197279 0.00008688 Ha=0.00004209 42.390 nm CPU= 5473.5 NT= 400 IT= 38 Er=0.000194532 0.00007926 Ha=0.00004558 45.907 nm CPU= 5584.5 NT= 420 IT= 35 Er=0.000198132 0.00007205 Ha=0.00004814 48.487 nm CPU= 5688.6 NT= 440 IT= 34 Er=0.000194780 0.00006747 Ha=0.00004938 49.735 nm CPU= 5788.3 NT= 460 IT= 32 Er=0.000196084 0.00006225 Ha=0.00004964 49.992 nm CPU= 5883.8 NT= 480 IT= 31 Er=0.000195007 0.00005926 Ha=0.00004934 49.697 nm CPU= 5975.8 NT= 500 IT= 30 Er=0.000193413 0.00005536 Ha=0.00004906 49.412 nm CPU= 6063.9 NT= 520 IT= 28 Er=0.000193275 0.00004854 Ha=0.00004919 49.548 nm CPU= 6148.6 NT= 540 IT= 25 Er=0.000195045 0.00003977 Ha=0.00004939 49.745 nm CPU= 6227.5 NT= 560 IT= 22 Er=0.000194890 0.00003254 Ha=0.00004947 49.829 nm CPU= 6298.9 NT= 580 IT= 20 Er=0.000194762 0.00002836 Ha=0.00004934 49.692 nm CPU= 6364.4 NT= 600 IT= 18 Er=0.000195719 0.00002440 Ha=0.00004914 49.489 nm CPU= 6425.4 NT= 620 IT= 15 Er=0.000199883 0.00001958 Ha=0.00004894 49.289 nm CPU= 6480.5 NT= 640 IT= 13 Er=0.000195514 0.00001595 Ha=0.00004883 49.179 nm CPU= 6529.1 NT= 660 IT= 12 Er=0.000191455 0.00001415 Ha=0.00004878 49.129 nm CPU= 6572.3 NT= 680 IT= 12 Er=0.000183829 0.00001354 Ha=0.00004878 49.127 nm CPU= 6615.8 NT= 700 IT= 12 Er=0.000176746 0.00001298 Ha=0.00004879 49.138 nm CPU= 6659.3 NT= 720 IT= 12 Er=0.000168682 0.00001235 Ha=0.00004878 49.130 nm CPU= 6702.0 NT= 740 IT= 12 Er=0.000159860 0.00001168 Ha=0.00004873 49.084 nm CPU= 6744.5 IT= 12 Err=.00001137 H0=-0.0207024 HR0=-0.0207024 HHR0=-0.0207024 Pa= 0.93596 NCONT = 8580 ER= 0.00015608 NT= 750 Current X0= -1.8000 HC= 0.000051293 0.119806E-05 51.662 nm Estimated X0= -1.075 Estimated HCs/HC= 1.00000 HMIN= 0.000 nm NTC= 750 KSURF= 0 KFLOOD= 0 KRHEO= 1 KPLMT= 0 KFRCTMP= 0 PLMT= 100.0000 NSTART= 3 KFFT= 1 KHALF= 1 HLIM= 0.000 nm HAA= 0.00000000 KLEV = 4 M = 384 N = 256 Dx = 0.0078125 Dy = 0.0117188 X0 =-1.8000000 Xe = 1.2000000 Y0 =-1.5000000 SUMMARY OF RESULTS: Central Film Thickness(For smooth): 0.512933E-04 51.6617 nm Average Film Thickness at Center: 0.486975E-04 49.0472 nm Minimum Film THickness: 0.000000E+00 0.0000 nm Film Thickness (Lambda) Ratio: 0.12262 Contact Load Ratio Wc: 0.00007 % Contact Area Ratio Ac: 0.07528 % RMS Roughness after Deformation: 0.00279 micron Pressure Peak Height: 1.00165 1964.383331 MPa Inlext Distance X0: 1.800000 Coefficient of Friction: 0.00000000 Max.Flash Temperature Rise - Body A: 0.0000 Deg.C Max.Flash Temperature Rise - Body B: 0.0000 Deg.C Accumulated Wear - Body A: 0.000000E+00 mm**3 Accumulated Wear - Body B: 0.000000E+00 mm**3 Timing Starts at (sec)= 3470.6790 Timing stops at (sec) = 6766.3562 Total CPU Time (sec) = 3295.6771