Title

Rare Exact Solution To A Model Of Two-Phase Flow Consisting Of A Nanofluid Adjacent To A Clear Fluid

Keywords

Convection heat transfer; Dual solutions; Internal heat generation/absorption; Nanofluid flow; Thermopheric diffusion; Two-phase flow

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. © 2013 Elsevier Ltd. All rights reserved.

Publication Date

3-12-2013

Publication Title

International Journal of Heat and Mass Transfer

Volume

61

Issue

1

Number of Pages

201-208

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.ijheatmasstransfer.2013.02.004

Socpus ID

84874726644 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84874726644

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