Magnetic Field Dependent (MFD) Viscosity Effect on Nanofluid Treatment

Magnetic Field Dependent (MFD) Viscosity Effect on Nanofluid Treatment

DOI: 10.4018/978-1-5225-7595-5.ch009

Abstract

In this chapter, the effect of magnetic field dependent (MFD) viscosity on free convection heat transfer of nanofluid in an enclosure is investigated. A single-phase nanofluid model is utilized considering Brownian motion. The control volume-based finite element method is applied to simulate this problem. The effects of viscosity parameter, Hartmann number, and Rayleigh number on hydrothermal behavior have been examined.
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2. Natural Convection Of Magnetic Nanofluid Considering Mfd Viscosity Effect

2.1. Problem Definition

The geometry of this problem is shown in Figure 1(a). The heat source is centrally located on the bottom surface and its length L/3. The cooling is achieved by the two vertical walls. The heat source has constant heat flux 978-1-5225-7595-5.ch009.m01 while the cooling walls have a constant temperature 978-1-5225-7595-5.ch009.m02; all the other surfaces are adiabatic. Also, it is also assumed that the uniform magnetic field (978-1-5225-7595-5.ch009.m03) of constant magnitude 978-1-5225-7595-5.ch009.m04 is applied, where 978-1-5225-7595-5.ch009.m05 and 978-1-5225-7595-5.ch009.m06 are unit vectors in the Cartesian coordinate system. The orientation of the magnetic field form an angle 978-1-5225-7595-5.ch009.m07with horizontal axis such that 978-1-5225-7595-5.ch009.m08. The electric current 978-1-5225-7595-5.ch009.m09and the electromagnetic force 978-1-5225-7595-5.ch009.m10 are defined by 978-1-5225-7595-5.ch009.m11 and 978-1-5225-7595-5.ch009.m12, respectively.

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