Thermal Convection in a Horizontal Layer of Maxwellian Visco-Elastic Nanofluid

Thermal Convection in a Horizontal Layer of Maxwellian Visco-Elastic Nanofluid

Copyright: © 2017 |Pages: 26
DOI: 10.4018/978-1-68318-006-7.ch001
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Mathematical Formulations Of The Problem

The Physical Problem

In this chapter we shall investigate the thermal convection in a horizontal layer of Maxwellian visco-elastic nanofluid. 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. Fluid layer is acted upon by a gravity force g(0,0,-g) and 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) as shown is Figure 1. The normal component of the nanoparticles flux has to vanish at an impermeable boundaries and the reference scale for temperature and nanoparticles fraction is taken to be T1 and φ0 respectively.

Figure 1.

Physical configuration of the problem

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