Flow of Non-Newtonian Fluid in Curved Duct with Varying Aspect Ratio

In this study consideration is given to viscous, incompressible, second order fluid (lowing in a rectangular duct, with varying aspect ratio, under the action oi the pressure gradient. In particular consideration is given to visco-inelastic liquid. An orthogonal coordinates system has been framed to describe the fluid motion and it is found that the motion equations are controlled by two parameters namely: dean number and the Non-Newtonian parameter. Solutions for the secondary flow and the axial velocity are derived as perturbations over straight pipe appearing through the dean number The finite-difference method is employed to find a perturbation solution These solutions have been developed in certain coordinates for harmonic and biharmonic equations. This study ended with the effect of the non-dimensional and aspect ratio parameters mentioned above on the secondary motion.