Some problems of the peristaltic motion of nanofluids in the presence of different external effects

Abstract

The study of non-Newtonian nanofluids flow in different geometric ducts gained great attention, due to their numerous biological, chemical and industrial applications. Some of these applications are discussed in the introduction. Moreover, the study of nanofluids flow under external effects is a very important topic as these external effects can control and enhance the velocity of the flow as well as its temperature and concentration. In this thesis, we are concerned to study the peristaltic flow of incompressible non-Newtonian nanofluid through a uniform ducts in the presence of non-Darcy porous medium. It is also noticed that the flow is unsteady in the laboratory frame (fixed frame), but we separated the time by changing the flow to the moving frame with wave speed. Moreover, the flow is affected by numerous external forces, such as: uniform external magnetic field, thermal radiation, chemical reaction, viscous dissipation, Ohmic dissipation and other external forces. Thereby the governing equations for velocity, temperature and nanoparticles concentration represent a system of partial differential equations that are very difficult to be solved by ordinary methods. Therefore, In chapters 2 and 3 the governing equations are solved numerically by using Rung-Kutta-Merson method under the help of Mathematica program, version 12.0.0, while in chapter 4 the governing equations are solved analytically by using homotopy perturbation method(HPM).

The thesis consists of four chapters as follows:

Chapter 1

This chapter represents a general introduction to cover the most important and fundamental items in the thesis:

• Introduction to non-Newtonian fluids and some of their models. • Introduction to peristaltic flow and some of its application.