The torque due to the frictional resistance of the oil film between a rotating shaft and its bearing is found to be dependent on the force F normal to the shaft, the speed of rotation N of the shaft, the dynamic viscosity μ of the oil, and the shaft diameter D. Establish a correlation among the variables by using dimensional analysis.
GIVEN
The oil film between a rotating shaft and its bearing
The torque (T) due to frictional resistance is a function of normal force (F), speed of rotation (N), dynamic viscosity (μ), and shaft diameter (D)
ASSUMPTIONS
Steady state