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research-article

Reverse flow in magnetoconvection of two immiscible fluids in a vertical channel

[+] Author and Article Information
Alessandra Borrelli

Dipartimento di Matematica e Informatica, Università degli Studi di Ferrara, via Machiavelli 30, 44121 Ferrara, Italy
brs@unife.it

Giulia Giantesio

Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, via Musei 41, 25121 Brescia, Italy
giulia.giantesio@unicatt.it

Maria Cristina Patria

Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, via Musei 41, 25121 Brescia, Italy
pat@unife.it

1Corresponding author.

ASME doi:10.1115/1.4036670 History: Received November 16, 2016; Revised May 02, 2017

Abstract

This paper concerns the study of the influence of an external magnetic field on the reverse flow occurring in the steady mixed convection of two Newtonian immiscible fluids filling a vertical channel under the Oberbeck-Boussinesq approximation. The two isothermal boundaries are kept either at different or at equal temperatures. The velocity, the temperature and the induced magnetic field are analytically obtained. The results are presented graphically and discussed for various values of the parameters involved in the problem (in particular the Hartmann number and the buoyancy coefficient) and are compared with those for a single Newtonian fluid. The occurrence of the reverse flow is carefully studied.

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