Journal of Applied Mathematics

Lie Group Analysis of Natural Convective Flow from a Convectively Heated Upward Facing Radiating Permeable Horizontal Plate in Porous Media Filled with Nanofluid

Md. Jashim Uddin, W. A. Khan, and A. I. Md. Ismail

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 648675, 18 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495221

Digital Object Identifier
doi:10.1155/2012/648675

Mathematical Reviews number (MathSciNet)
MR2956499

Zentralblatt MATH identifier
1251.76057

Citation

Uddin, Md. Jashim; Khan, W. A.; Ismail, A. I. Md. Lie Group Analysis of Natural Convective Flow from a Convectively Heated Upward Facing Radiating Permeable Horizontal Plate in Porous Media Filled with Nanofluid. J. Appl. Math. 2012 (2012), Article ID 648675, 18 pages. doi:10.1155/2012/648675. https://projecteuclid.org/euclid.jam/1355495221


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