Thermal Convection in a Layer of Maxwellian Visco-Elastic Nanofluid with Hall Current

Thermal Convection in a Layer of Maxwellian Visco-Elastic Nanofluid with Hall Current

Copyright: © 2017 |Pages: 20
DOI: 10.4018/978-1-68318-006-7.ch008
OnDemand PDF Download:
$30.00
List Price: $37.50

Chapter Preview

Top

Mathematical Formulations Of The Problem

The Physical Problem

The physical configuration of the problem to be considered as:

An infinite horizontal layer of Maxwellian visco-elastic nanofluid of thickness ‘d’ bounded by horizontal boundaries z = 0 and z = d. A Cartesian coordinate system (x, y, z) is chosen with the origin at the bottom of the fluid layer and the z- axis normal to the fluid layer. Fluid layer is acted upon by gravity force g(0, 0,-g) and a uniform vertical magnetic field H (0, 0, H). Fluid layer is heated from below in such a way that horizontal boundaries z = 0 and z = d respectively maintained at a uniform temperature T0 and T1 (T0 > T1). The normal component of the nanoparticles flux has to vanish at an impermeable boundary and the temperature T is taken to be T0 at z = 0 and T1 at z = d, (T0 > T1) as shown in Figure 1. The reference scale for temperature and nanoparticles fraction is taken to be T1 and φ0 respectively.

Figure 1.

Physical configuration of the problem

Complete Chapter List

Search this Book:
Reset