## THERMAL SCIENCE

International Scientific Journal

### FLOW AND HEAT TRANSFER OF THREE IMMISCIBLE FLUIDS IN THE PRESENCE OF UNIFORM MAGNETIC FIELD

**ABSTRACT**

The magnetohydrodynamic flow of three immiscible fluids in a horizontal channel with isothermal walls in the presence of an applied magnetic field has been investigated. All three fluids are electrically conducting, while the channel plates are electrically insulated. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and closed-form solutions are obtained in three fluid regions of the channel. Separate solutions with appropriate boundary conditions for each fluid have been obtained and these solutions have been matched at the interface using suitable boundary conditions. The analytical results for various values of the Hartmann number, the ratio of fluid heights and thermal conductivities have been presented graphically to show their effect on the flow and heat transfer characteristics. [Projekat Ministarstva nauke Republike Srbije, br. TR 35016]

**KEYWORDS**

PAPER SUBMITTED: 2014-02-03

PAPER REVISED: 2014-06-02

PAPER ACCEPTED: 2014-06-04

PUBLISHED ONLINE: 2014-09-06

**THERMAL SCIENCE** YEAR

**2014**, VOLUME

**18**, ISSUE

**Issue 3**, PAGES [1019 - 1028]

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