Study of fluid flow through a tube with and without obstacle

Abstract

The study of fluid flows through tube has received considerable attention over few centuries due to its wide applications in physical, biological and applied sciences. It is therefore necessary to examine some combined effects on the entire flow structure. In this thesis, three different circumstances of fluid flow through a tube are studied. In this regard, wall driven flow through a porous tube with magnetic field and flow through a collapsible tube in presence of obstacle and magnetic field are considered. A numerical study of two-dimensional, steady as well as unsteady flow of an incompressible viscous fluid are investigated using approximation method and finite element method. To determine the stability of flow is main concern. In this thesis, different types of disturbance such as movement of wall, porosity in wall, contraction and expansion of collapsible tube, magnetic field and obstacle are used that help to create instability in flow structure. Special type of Hermite-Padé approximation method is used to analyze the stability of flow and to determine the critical point where the instability initiates. The effect of different dimensionless numbers on the velocity, temperature and rate of heat transfer are also investigated. Here, the critical Reynolds number, effect of contraction and expansion, formation of vortex and magnetic effect on vortex are discussed.