An Analytical Investigation Of The Mathematical Model Of Peristaltic Blood Flow Of Nano Fluid

Peristaltic pump is a biological pump which employs periodic wavelike squeezing motions which travelling along a vessel and forcing the contents of the vessel forward. The main purpose of study the peristaltic motion is to investigate the input and the output gross characteristics of the pump, the fluid motion within the pump and the role of pressure during the motion. Such characteristics of peristaltic flow are considered very important in various applications. Peristaltic blood flows of nano fluid is also one of them. In such type of application, the mathematical model is developed under the best assumption of long wavelength, smaller particles and low Reynolds number. The analytical investigation of these models with magnetic field provides numerous fruitful information.This thesis contains six chapters. Chapter 1 addresses the introduction of peristaltic flow with various kinds of fluids such as Newtonian, non-Newtonian and Nano fluid with their applications. We discuss in detail about some important expression like magnetic field, heat transfer phenomena and entropy generation. Peristaltic motion in the presence of magnetic field is encountered in a variety of applications such as magnetohydrodynamics, accelerators and flow matters. Also, heat transfer in the connection of peristaltic motion is a great important area specially in the applications of blood pumps in heart lungs machines. Investigations of entropy generation of irreversible heat and viscous dissipation is more reliable than the first law of thermodynamics. Entropy is carried out to improve system performance by minimizing heat transfer and fluid friction. Several discussions have been made in this chapter in the connection of MHD peristaltic blood flow, minimization of entropy generation by mentioning and discussing various authors works.Chapter 2 presents the basic definitions and basic concepts of fluid mechanics. The governing equation of momentum, equation of continuity and energy equations in Cartesian coordinates are derived in this chapter.In chapter 3, we investigate MHD peristaltic blood flow of nano fluid in a non-uniform channel. The experimental and theoretical works of peristaltic pumping with MHD in a channel is of great interest in the connection with certain problems of physiological fluids like blood pumping machines. The governing equation of motion and nano particles are modelled under the consideration of creeping flow and long wavelength. The resulting non-linear coupled differential equations are solved with the help of perturbation. Numerical integration has been used to obtain the results for pressure rise and friction forces. The be-haviour of temperature profile, concentration profile, pressure rise and velocity profile for numerous parameters such as density Grashof number, thermal Grashof number, Brownian motion parameter, Thermophoresis parameter and magnetic parameter are demonstrated mathematically and graphically. This mathematical model is also applicable for three di-mensional profile.Chapter 4 contains on entropy generation of MHD peristaltic blood flow of nano fluid. In the light of discussion in chapter 3, it is important to analyse the heat transfer during the peristaltic motion under the influence of magnetic field. For this purpose, entropy generation has employed to measure the irreversible heat and viscous dissipation effects during the flow. Homotopy perturbation method is used to solve the developed differential system. The graphical results of different influential parameters are discussed in details. Some physical explanations also described with the obtained results of graphical behaviour of velocity profile, temperature profile and entropy generation for various parameters. This model may provide a better understanding of the role of magnetic parameter at the time of surgery and critical operations to control excessive bleeding.Chapter 5 addresses the entropy generation of peristaltic blood flow with complaint walls. The peristalsis in the channel walls are flexible. The wall elastance, wall stiffness and damping effects due to the flexibility of the walls are considered an important to analyse. The flow is considered under zero Reynold number and long wavelength. The resulting non-linear partial differential equations are solved with the help of a perturbation method. The analytic and numerical results of different parameters are investigated mathematically and graphically. The impact of elastic parameters E1, E2 and E3, and some other pertinent parameters on velocity profile, temperature profile and entropy generation are discussed graphically. In this chapter the comparison table of velocity profile also shown for Newto-nian fluid and non-Newtonian fluid by putting λ1= GrT=, GrF= 0.Chapter 6 provides summary of the investigations and concluding remarks of the graphical results of chapter 3 to 5. In this section future works are also described that may make future research direction more beneficial.