Mathematical Analysis Of Newtonian And Non Newtonian Fluid Around Axisymmetrical Bodies In Bounded And Unbounded Medium

Abstract

The main objective of this thesis entitled Mathematical Analysis of Newtonian and non-Newtonian Fluid around Axisymmetrical Bodies in Bounded and Unbounded Medium is to study various types of Newtonian fluid and non-Newtonian fluid behavior with their applications in science, engineering, and technology. newlineThe classical Navier-Stokes theory is not very appropriate for the description of a class of fluids that exhibit certain microscopic effects arising from the local structure and micromotions of fluid elements. In recent years, there have been several new developments in fluid mechanics that are concerned with structures within fluids, fluids that the classical theory has proved to be inadequate in describing their behavior. A subclass of these fluids is the micropolar fluids. Animal blood, liquid crystals, and certain polymeric fluids are a few examples of fluids that may be represented by the mathematical model of micropolar fluids introduced by Eringen in 1964-1966. From the physical point of view, micropolar fluids are characterized by the following property: fluid points contained in a small volume element, in addition to the usual rigid motion, can rotate about the centroid of the volume element in an average sense, the rotation being described by a skew symmetric gyration tensor. The majority of these moving phenomena are fundamental in nature, but permit one to develop a rational understanding of many practical systems and industrial processes such as sedimentation, flotation, spray drying, agglomeration, and the motion of blood cells in an artery or vein. The study investigates the analytical solution of few problems for slow, steady incompressible and axisymmetric flow of Newtonian fluids and non-Newtonian fluids. newlineThe stream functions have been used to reduce the governing field equations of motion into partial differential equations. The resulting equations are then solved by the method of separation of variables. The stream function and the pressure distribution are obtained in terms of Bessel and G