The power loss, \(\mathscr{P}\), in a journal bearing depends on length, \(l\), diameter, \(D\), and clearance, \(c\), of the bearing, in addition to its angular speed, \(\omega\). The lubricant viscosity and mean pressure are also important. Obtain the dimensionless parameters that characterize this problem. Determine the functional form of the dependence of \(\mathscr{P}\) on these parameters.