DTM for Fluids Flow Analysis

Studies of fluid transport in biological organisms often concern the flow of a particular fluid inside an expanding or contracting vessel with permeable walls. For a valve, vessel exhibiting deformable boundaries, alternating wall contractions produce the effect of a physiological pump. The flow behavior inside the lymphatic exhibits a similar character. In such models, circulation is induced by successive contractions of two thin sheets, which cause the downstream convection of the sandwiched fluid. Seepage across permeable walls is clearly important to the mass transfer between blood, air, and tissue. Therefore, a substantial amount of research work has been invested in the study of the flow in different geometries in both Newtonian and non-Newtonian form. This chapter introduces differential transformation method to solve these problems, which contains the following sections: 4.1 Introduction 4.2 Two-Dimensional Viscous Flow 4.3 Magnetohydrodynamic Boundary Layer 4.4 Nanofluid Flow Over a Flat Plate 4.5 Non-Newtonian Fluid Flow Analysis