A sliding bearing, modeled as flow between two plates separated by a distance, \(\delta\), is lubricated by a Newtonian fluid of viscosity, \(\mu\), and density, \(ho\). The top plate moves at a velocity \(v_{o}\) while the bottom plate is stationary. Both sides of the bearing are maintained at a constant temperature, \(T_{o}\). The bearing lubricant heats up due to viscous dissipation. Find the temperature distribution and the maximum temperature assuming the thermal conductivity of the fluid varies with temperature according to:

\[k=\frac{1}{A+B T} \quad A, B-\text { constants }\]