Oil for lubricating the thrust bearing shown in Fig. P5.24 flows into the space between the bearing surfaces through a circular inlet pipe with velocity

\[ u=U_{0}\left[1-\left(\frac{r}{R}\right)^{2}\right] \]

where \(R=1.5 \mathrm{~mm}\). The oil has a specific gravity \(S=0.86\) and flows in the inlet pipe at a rate of \(0.006 \mathrm{~kg} / \mathrm{s}\). Compute the average velocity \(V_{1}\) of the oil in the inlet pipe and the average velocity \(V_{2}\) at the outlet (plane 2) and the maximum velocity in the oil inlet pipe \(\left(U_{0}\right)\). Assume radial flow.

Figure P5.24

Transcribed Image Text:

Outlet plane 2 D = 10 cm Circular disc D = 3.0 mm = 2R Inlet pipe For oil velocity profile h = 2.0 mm