Lie group analysis of natural convective flow from a convectively heated upward facing radiating permeable horizontal plate in porous media filled with nanofluid
type: Item
instance of: scholarly article
title: Lie group analysis of natural convective flow from a convectively heated upward facing radiating permeable horizontal plate in porous media filled with nanofluid
zbMATH Open document ID: 1251.76057
DOI: 10.1155/2012/648675
author: Xianqiang Yang
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: Two-dimensional, steady, laminar and incompressible natural convective flow of a nanofluid over a connectively heated permeable upward facing radiating horizontal plate in porous medium is studied numerically. The present model incorporates Brownian motion and thermophoresis effects. The similarity transformations for the governing equations are developed by Lie group analysis. The transformed equations are solved numerically by Runge-Kutta-Fehlberg fourth-fifth order method with shooting technique. Effects of the governing parameters on the dimensionless velocity, temperature and nanoparticle volume fraction as well as on the dimensionless rate of heat and mass transfer are presented graphically and the results are compared with the published data for special cases. Good agreement is found between numerical results of the present paper and published results. It is found that Lewis number, Brownian motion and convective heat transfer parameters increase the heat and mass transfer rates whilst thermophoresis decreases both heat and mass transfer rates.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76M10
zbMATH DE Number: 6106276
zbMATH Keywords: incompressible natural convective flow
zbMATH Keywords: Runge-Kutta-Fehlberg fourth-fifth order method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/648675
OpenAlex ID: W2127772260
Wikidata QID: Q58906334
cites work: The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid
cites work: Radiation effects in the Blasius flow
cites work: Radiation effects on the thermal boundary layer flow over a moving plate with convective boundary condition
cites work: Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid
cites work: Convection in Porous Media
cites work: Buoyancy induced flows in a saturated porous medium adjacent to impermeable horizontal surfaces
cites work: Matched asymptotic expansions for free convection about an impermeable horizontal surface in a porous medium
cites work: Buoyancy-induced flow adjacent to a horizontal surface submerged in porous medium saturated with cold water
cites work: Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions
cites work: Symmetries and differential equations
cites work: Lie group analysis of mixed convection flow with mass transfer over a stretching surface with suction or injection
cites work: Similarity Transformations for Partial Differential Equations
cites work: Symmetry and integration methods for differential equations
cites work: Q3715336
cites work: Symmetry of turbulent boundary-layer flows: Investigation of different eddy viscosity models
description: scientific article; zbMATH DE number 6106276