Thermal Analysis Circular Couette Flow of Non-Newtonian Fluid With Viscous Dissipation

The forced convection heat transfer in the circular couette flow of non-newtonian fluid is investigated when the inner cylinder is rotated at angular speed and the outer cylinder is fixed. the fluid viscosity is considered concurrently to be dependent on the temperature and shear rate. the temperature dependency of viscosity is modeled exponentially according to the nahme law and dependence of viscosity on shear is modeled with the carreau equation. the viscous dissipation term is adding intricacy to the already highly interdependent set of governing motion and energy equations. the highly nonlinear governing equations are derived for the steady state base flow in the narrow gap limit. the perturbation method has been applied to obtain an approximate solution for these equations. the effect of governing parameter such as brinkman numbers and deborah number on the thermal stability is examined. in addition, the analysis illustrated that the nusselt number of the outer cylinder increases as the deborah number increases. it, although, decreases by increasing brinkman number. the pseudoplastic fluid between concentric cylinders is heated as brinkman number and increases due to frictional loss and it is cooled as deborah number increases due to the fluid elasticity behavior.