Transport Analysis

I am trying to figure out a problem.
Problem is : The viscous dissipation is noted for a non-Newtonian fluid that is suspended and rotation between two concentric cylinders. The inner cylinder rotates at an angular frequency Ω, while the outer cylinder remains stationary. What would the viscous dissipation term( T: ∇ V) for this problem be if fully developed laminar flow is assumed? State reasons for cancelling terms and plug in what T would be.