Solve in detail (dont skip steps please)

Exercise 8.6 Viscos Heating in Couette Flow In our analysis of Couette flow in Section 7.2, we assumed the flow was isothermal. However, for fluids with large viscosity, or for flows with large shear rate, viscous dissipation may invalidate the isothermal flow assumption. Here, we assume the thermal properties of the fluid (,c^p,) are constant, and that viscosity is a linear function of temperature, (T)=0[1+A(TT0)], where 0 and A are constants. If toth cylinders are maintained at constant temperature T0, use a perturbation method with NNa=02R2/(/A) as the perturbation parameter to find the following expression for the torque exerted on the inner cylinder, Ms=1242R2L[12NNa(12)22(ln121242ln)]. Confirm that, for A