Assist Professor Dr. Hussein Ali Mohammed
College of Education for Pure Sciences
Recently, many studies have been focused on the problem of non-Newtonian fluids due to their wide applications in industries. This type of fluid can be found in many daily materials such as coal oil slurries, shampoos, paints, clay coatings and suspensions, cosmetic products, grease, custard, animal blood and body fluids. The principal equations of Navier–Stokes equation, have failed to accurately portray the properties of non-Newtonian fluids. A number of constitutive equations have been introduced for non-Newtonian fluids by considering the natural density of such fluids. Unlike in viscous fluids, shear stresses of non-Newtonian fluids are very complex which resulting in multifaceted equations. Even it give strong challenge to the researchers, several studies has been establish regarding flow of non-Newtonian fluids [1,2].
newly, convective heat transfer has become the focus topic of study because of the vital role it plays in high temperature processes in gas turbines, and nuclear plants, as well as thermal energy storage, where Numerous studies have also explored the connection between free and forced convection and fluids where it called as mixed convection. A change in the Casson fluid parameter led to a change in the skin friction while the velocity remained unchanged. However, little research has been remarked on the two-dimensional flow of the Eyring-Powell fluid model, even though such model is much better in certain ways than other non-Newtonian fluid models. First, the Eyring-Powell fluid model is based on the kinetic theory of liquids instead of on empirical formulas. Second, it reverts accordingly to Newtonian behavior for low and high shear rates.
 W. Tan and T. Masuoka, Stokes, ” first problem for a second grade fluid in a porous half-space with heated boundary,” International Journal of Non-Linear Mechanics, vol. 40, pp. 515-522, 2005.
 C. Fetecau, J. Zierep, R. Bohning, and C. Fetecau, “On the energetic balance for the flow of an Oldroyd-B fluid due to a flat plate subject to a time-dependent shear stress,” Computers & Mathematics with Applications, vol. 60, pp. 74-82, 2010.