Analytic study of entropy production of a generalized Newtonian fluid, Cross model

In this study we reached the Nusselt Number in different scenerios.We found the Nusselt number in the conditions of constant surface temperture and constant heat flux that goes in to system. When we do our study we used the Cross fluid model and equation of conservation of momentum between two plates in order to find velocity profile for the problem.After finding the veloicty profile for problem first we then found the energy equation with the condition of heat flux goes in to our system is constant. We after finding energy equation for constant heat flux we calculated the mean temperture and mean velocity profilies to find Nusselt number . After finding the Nusselt number for constant heat flux goes in to system ,we then found the energy equation,mean temperture and mean velocity to find Nusselt number fort he condition constant surface temperture. After finding Nusselt numbers in both conditions we then compared the two results and compared our solutions with numerical solution results.