Consider again the problem of a highly viscous fluid contained between two parallel plates of gap width \(d\). The top plate is moving with a velocity of \(V\) and this generates heat in the system due to viscous dissipation.

Develop an equation for the temperature distribution in the system if the upper plate is at \(T_{0}\) while the lower plate is insulated. Assume constant viscosity.

What happens to the problem if both plates are insulated?