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Required information

A $6-$cm$-$diameter shaft rotates at $1900$ rpm in a $\backslash (20-\backslash$mathrm$\{$cm$\}\backslash )-$long bearing with a uniform clearance of $0\mathrm{.}2$ mm $.$ At steady operating conditions, the bearing in the vicinity of the oil gap are at $\backslash (50^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ and the viscosity and thermal conductivity of lubricating oil are $\backslash (0\mathrm{.}05\backslash$mathrm$\{$~N$\}\backslash$cdot $\backslash$mathrm$\{$~s$\}/\backslash$mathrm$\{$m$\}^\{2\}\backslash )$ and $\backslash (0\mathrm{.}17\backslash$mathrm$\{$~W$\}/\backslash$mathrm$\{$m$\}\backslash$cdot $\backslash$mathrm$\{$K$\}\backslash ).$

By simplifying and solving the continuity, momentum, and energy equations, determine the maximum temperature of oil. $($Round the final answer to one decimal place. You must provide an answer before moving on to the next part.$)$

The maximum temperature of oil is

$\backslash (\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$