Title

Rare exact solution to a model of two-phase flow consisting of a nanofluid adjacent to a clear fluid

Authors

Authors

R. A. Van Gorder

Comments

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Abbreviated Journal Title

Int. J. Heat Mass Transf.

Keywords

Two-phase flow; Nanofluid flow; Convection heat transfer; Thermopheric; diffusion; Internal heat generation/absorption; Dual solutions; NATURAL-CONVECTION; HEAT-TRANSFER; POROUS-MEDIUM; ENCLOSURE; ENHANCEMENT; Thermodynamics; Engineering, Mechanical; Mechanics

Abstract

We consider a theoretical model of a two-phase flow consisting of a nanofluid adjacent to a clear fluid. A method of obtaining the exact solution to the two-fluid vertical channel flow and convective heat transfer model is presented. The results constitute a rare case in which completely exact solutions are possible for a nonlinear flow problem involving nanofluids, as the governing equations are often highly nonlinear. We show rigorously that the nanofluid can modify the fluid velocity at the interface of the two fluids, and can be used to reduce shear at both the surface of the clear fluid and the interface of the two fluids. Upon exploring the existence of the exact solutions, we discover that in some situations there exist two mathematical solution branches, one of which is the physically relevant solution. We then discuss the behavior of the velocity and thermal profiles with the important parameters dictated by the nanoparticles. (C) 2013 Elsevier Ltd. All rights reserved.

Journal Title

International Journal of Heat and Mass Transfer

Volume

61

Publication Date

1-1-2013

Document Type

Article

Language

English

First Page

201

Last Page

208

WOS Identifier

WOS:000318260200021

ISSN

0017-9310

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