Temperature variations across the lubricant film in hydrodynamic lubrication

Summary Temperature variations across the lubricant film in hydrodynamic lubrication have been taken into account. The consequent variations of viscosity cannot be neglected for high Prandtl number lubricants.Nomenclature A constant defined by eq. (13a) - b h ₀/h _L - c heat capacity - h film thickness - h ₀ h at X=0 - h _L h at X=L - H ₀ local heat transfer coefficient defined by (23a) - K thermal conductivity - L length of bearing - m* defined by (9) - Nu Nusselt number defined by (23b) - P pressure - Pe Peclet number (Re) (Pr) - q ₀ slider surface heat flux - q ₀ ^* dimensionless heat flux defined by (20) - Q ₀ slider surface total heat transfer - Q ₀ ^* dimensionless total heat transfer defined by (21) - Re Reynolds number Vh ₀/ - Pr Prandtl number c/ - T temperature - T ₀ slider surface temperature - T _B film bulk temperature - u longitudinal velocity - v transverse velocity - V slider velocity - x longitudinal coordinate - y transverse coordinate - x/h ₀ - u/V - h/h ₀ - y/h - density - viscosity - v/V - - - _S dimensionless stationary surface temperature - dimensionless average stationary surface temperature - _B dimensionless film bulk temperature