Lie Group Analysis of Natural Convective Flow from a Convectively Heated Upward Facing Radiating Permeable Horizontal Plate in Porous Media Filled with Nanofluid
Joint Authors
Uddin, Mohammed Jashim
Ismail, Ahmad Izani Md.
Khan, Waqar Ahmed
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-24
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Uddin, Mohammed Jashim& Khan, Waqar Ahmed& Ismail, Ahmad Izani Md.. 2012. Lie Group Analysis of Natural Convective Flow from a Convectively Heated Upward Facing Radiating Permeable Horizontal Plate in Porous Media Filled with Nanofluid. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993459
Modern Language Association (MLA)
Uddin, Mohammed Jashim…[et al.]. Lie Group Analysis of Natural Convective Flow from a Convectively Heated Upward Facing Radiating Permeable Horizontal Plate in Porous Media Filled with Nanofluid. Journal of Applied Mathematics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-993459
American Medical Association (AMA)
Uddin, Mohammed Jashim& Khan, Waqar Ahmed& Ismail, Ahmad Izani Md.. Lie Group Analysis of Natural Convective Flow from a Convectively Heated Upward Facing Radiating Permeable Horizontal Plate in Porous Media Filled with Nanofluid. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993459
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993459