Abstract:The second order rotatory theory of hydrodynamic lubrication was founded on the expression obtained by retaining the terms containing first and second powers of rotation number in the extended generalized Reynolds equation. In the present paper, there are some new excellent fundamental solutions with the help of geometrical figures, expressions, calculated tables and graphs for the porous bearings in the second order rotatory theory of hydrodynamic lubrication. The analysis of equations for pressure and load capacity, tables and graphs reveal that pressure and load capacity are not independent of viscosity and increases slightly with viscosity. Also the pressure and load capacity both increases with increasing values of rotation number.
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CALCULATION TABLES
By taking the values of different mathematical terms in C.G.S. system as follows: θ=30o, µ=0.0002, C=0.0067, ρ=0.9, U=102, h=0.00786, y=1, H=0.05, ɸ=0.0025, R=3.35; the calculated values of pressure and load capacity with respect to M, by taking µ= 0.0002, are given by table 1.
Table 1. e↓ L/D↓ M→ 0.2 0.4 0.6 0.8 1.0
0.2 0.5 P 844.7764864 897.5040214 950.1928974 10002.844914 1055.458273 W 318359.2200 318360.4200 318362.3400 318364.9997 318368.3960
0.2 1.0 P 4782.680583 5081.196179 5379.496305 5677.580961 5975.450148 W 2546874.560 2546884.912 2546901.120 2546923.118 2546951.093
0.9 0.5 P 1185.885315 1423.933488 1662.326572 1901.064569 2140.147477 W 402079.4716 402082.259 402085.7945 402090.0741
CALCULATION TABLES
By taking the values of different mathematical terms in C.G.S. system as follows: θ=30o, µ=0.0002, C=0.0067, ρ=0.9, U=102, h=0.00786, y=1, H=0.05, ɸ=0.0025, R=3.35; the calculated values of pressure and load capacity with respect to M, by taking µ= 0.0002, are given by table 1.
Table 1. e↓ L/D↓ M→ 0.2 0.4 0.6 0.8 1.0
0.2 0.5 P 844.7764864 897.5040214 950.1928974 10002.844914 1055.458273 W 318359.2200 318360.4200 318362.3400 318364.9997 318368.3960
0.2 1.0 P 4782.680583 5081.196179 5379.496305 5677.580961 5975.450148 W 2546874.560 2546884.912 2546901.120 2546923.118 2546951.093
0.9 0.5 P 1185.885315 1423.933488 1662.326572 1901.064569 2140.147477 W 402079.4716 402082.259 402085.7945 402090.0741