Problem # $2(25$ pts$)$

A journal operates in a pressure$-$fed bearing has a radius of $25$ mm as shown in this figure.

The journal bearing has the following characteristics:

$d_{\text{s}\text{h}\text{a}\text{f}\text{t}}={50}_{-0\mathrm{.}05}^{+0\mathrm{.}00}mm$

$d_{\text{b}\text{e}\text{a}\text{r}\text{i}\text{n}\text{g}}={50\mathrm{.}084}_{-0\mathrm{.}000mm}^{+0\mathrm{.}010mm}$

The length of the bushing is $55$ mm $.$

Its oil fill central annular groove is $5$ mm wide

The bearing is fed by SAE $30$ oil $55C$ at $200$ kPa supply gauge pressure.

The journal speed is $N=3000re\frac{v}{m}in$ carrying a load of $W=10kN.$

The sump can dissipate only $300$ watts per bearing if necessary.

Perform a design assessment using Trumpler's criteria for minimum radial clearances. This procedure requires the estimation of:

The film temperature,

Minimum film thickness,

Maximum temperature and

Pressure.