Squeezing flows in the non - newtonain fluids

Abstract

The present thesis models the squeezing flows in the regime of non-Newtonian fluids. Mathematical modeling is based upon the constitutive equations of Jeffrey, couple stress, second grade and third grade fluids. These fluid models have been employed to predict the relaxation and retardation times, polar effect, body couples normal stress and shear thinning/shear thickening features. It addition heat and mass transfer is considered. The modeled nonlinear mathematical problems are computed by a modern technique namely the homotopy analysis method (HAM). Comparison of developed convergent series solutions with previous numerical solutions in limiting situation is shown. Discussion to important parameters in the solutions is given.