Numerical study of heat transfer enhancement in mixed convection flow along a vertical plate with heat source/sink utilizing nanofluids
type: Item
instance of: scholarly article
title: Numerical study of heat transfer enhancement in mixed convection flow along a vertical plate with heat source/sink utilizing nanofluids
zbMATH Open document ID: 1280.76060
author: Juan-Miguel Gracia
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-08-23T00:00:00Z
review text: This paper theoretically studies the steady mixed convection and heat transfer in laminar boundary layer flow of an incompressible nanofluid along a vertical flat plate with temperature-dependent heat source/sink. The dimensionless governing equations are solved numerically using a finite element method for both spherically and cylindrically shaped nanoparticles with volume fraction parameter \(\phi\) in the range \(0 \leq \phi \leq 4\%\), with appropriate boundary conditions. The effects of parameters governing the problem: volume fraction parameter \(\phi\), Prandtl number \textbf{Pr}, Richardson number \textbf{Ri} and volumetric rate of heat generation/absorption parameter \(\mathcal Q\) are investigated for different water-based nanofluids containing Cu, Ag, CuO, Al\(_{2}\)O\(_{3}\) and TiO\(_{2}\). It is found, among others, that increase in the mixed convection parameter \textbf{Ri} increases the momentum boundary layer thickness and decreases the thermal boundary layer thickness for pure water; Ag nanoparticles are proved to have the highest cooling performance for this vertical plate problem, where TiO\(_{2}\) nanoparticles have the lowest value. This is due to the high thermal conductivity of Ag and low thermal conductivity of TiO\(_{2}\). Results are presented in 23 figures and in a table. In the reviewer's opinion, this is an interesting paper. However, the paper studies only the case of assisting flow (\textbf{Ri}\(~> 0)\) and not that of opposing flow (\textbf{Ri}\(~< 0\)), which is much more interesting because in this case the boundary layer can separate from the plate.
Mathematics Subject Classification ID: 76R05
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 5941877
zbMATH Keywords: boundary layer
zbMATH Keywords: parametric investigation
zbMATH Keywords: nanoparticle
zbMATH Keywords: finite element method
reviewed by: Ioan Pop
MaRDI profile type: Publication
full work available at URL: j.cnsns.2011.03.014
OpenAlex ID: W1986607015
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DOI: 10.1016/J.CNSNS.2011.03.014
description: scientific article; zbMATH DE number 5941877