Heat Transfer of Hybrid Nanofluid Over A Non Linear Stretching Sheet In The Presence of Magnetic Field

Abstract

Laminar boundary layer flow over nonlinear stretching sheet is a significant type of flow hav- ing considerable practical applications in the field of engineering and sciences. The present study includes the study of steady natural convection of boundary layer flow of incompress- ible hybrid nanofluid over a non-linear stretching sheet in the presence of magnetic field,

heat source and Brownian motion. Hybrid nanofluid is taken as a new working fluid as it ex- hibits better thermophysical and heat transfer properties than conventional nanofluids. The

governing system of nonlinear partial differential equations are transformed to the system of ordinary differential equation using similar non dimensional parameters. These equations are solved numerically using finite element method. The chapter wise details of the thesis is summarized below : This chapter includes the basic definitions of fluid, fluid dynamics, and com- putational fluid dynamics. The various basic laws and governing equations (Navier

Stoke’s equations) in theory of fluid dynamics is stated. This further includes a brief introduction about heat transfer and modes of heat transfer.

Chapter 2: In this chapter, the study of two-phase fluid flow is outlined including classifica- tion based on states of matter and flow regime, applications in various fields. Different

modelling approaches are given, out of which one basic model (Homogeneous model) is explained. As nanotechnology has enticed good attention in boosting base fluid, the new class of nanofluid called hybrid nanofluid is invented. The review, thermophysical properties, applications, fluid flow characteristics of hybrid nanofluid is incorporated. Chapter 3: This chapter explains the finite element method used to find the solution to the present problem. History, basic features, applications, advantages of the method is stated. The basic methodology used to solve the system of nonlinear equations is illustrated. Chapter 4: In this chapter, the mathematical model of the present problem is described. The study of laminar boundary flow of hybrid nanofluid over a nonlinear stretching sheet in the presence of magnetic field is analyzed. The finite element solution of the problem is calculated. The impact of various pertinent parameters like Hartmann number, volume fraction, Heat source parameter, Brownian motion is analyzed on velocity and temperature.