Effect of velocity slip boundary condition on the flow and heat transfer of \(\mathrm{Cu}\)-water and \(\mathrm{TiO}_{2}\)-water nanofluids in the presence of a magnetic field
type: Item
instance of: scholarly article
title: Effect of velocity slip boundary condition on the flow and heat transfer of \(\mathrm{Cu}\)-water and \(\mathrm{TiO}_{2}\)-water nanofluids in the presence of a magnetic field
zbMATH Open document ID: 1302.80003
DOI: 10.1155/2014/538950
author: Fahd Al Mutairi
author: S. M. Khaled
author: Abdelhalim Ebaid
published in: Advances in Mathematical Physics
publication date: 2014-11-17T00:00:00Z
review text: Summary: In nanofluid mechanics, it has been proven recently that the no slip condition at the boundary is no longer valid, which is the reason that we consider the effect of such slip condition on the flow and heat transfer of two types of nanofluids. The present paper considers the effect of the velocity slip condition on the flow and heat transfer of the Cu-water and the \(\mathrm{TiO}_{2}\)-water nanofluids over stretching/shrinking sheets in the presence of a magnetic field. The exact expression for the fluid velocity is obtained in terms of the exponential function, while an effective analytical procedure is suggested and successfully applied to obtain the exact temperature in terms of the generalized incomplete gamma function. It is found in this paper that the Cu-water nanofluid is slower than the \(\mathrm{TiO}_{2}\)-water nanofluid for both cases of the stretching/shrinking sheets. However, the temperature of the Cu-water nanofluid is always higher than the temperature of the \(\mathrm{TiO}_{2}\)-water nanofluid. In the case of shrinking sheet the dual solutions have been obtained at particular values of the physical parameters. In addition, the effect of various physical parameters on such dual solutions is discussed through the graphs.
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 82D80
Mathematics Subject Classification ID: 76T20
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 6369979
zbMATH Keywords: nanofluids
zbMATH Keywords: flow and heat transfer
MaRDI profile type: Publication
Wikidata QID: Q59046014
full work available at URL: https://doi.org/10.1155/2014/538950
OpenAlex ID: W2054819053
cites work: Nano boundary layers over stretching surfaces
cites work: Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids.
cites work: A critical synthesis of thermophysical characteristics of nanofluids
description: scientific article; zbMATH DE number 6369979