Lie Group Solution for Free Convective Flow of a Nanofluid Past a Chemically Reacting Horizontal Plate in a Porous Media
Joint Authors
Rashidi, Mohammad Mehdi
Momoniat, Ebrahim
Ferdows, M.
Basiriparsa, A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-11
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The optimal homotopy analysis method (OHAM) is employed to investigate the steady laminar incompressible free convective flow of a nanofluid past a chemically reacting upward facing horizontal plate in a porous medium taking into account heat generation/absorption and the thermal slip boundary condition.
Using similarity transformations developed by Lie group analysis, the continuity, momentum, energy, and nanoparticle volume fraction equations are transformed into a set of coupled similarity equations.
The OHAM solutions are obtained and verified by numerical results using a Runge-Kutta-Fehlberg fourth-fifth order method.
The effect of the emerging flow controlling parameters on the dimensionless velocity, temperature, and nanoparticle volume fraction have been presented graphically and discussed.
Good agreement is found between analytical and numerical results of the present paper with published results.
This close agreement supports our analysis and the accuracy of the numerical computations.
This paper also includes a representative set of numerical results for reduced Nusselt and Sherwood numbers in a table for various values of the parameters.
It is concluded that the reduced Nusselt number increases with the Lewis number and reaction parameter whist it decreases with the order of the chemical reaction, thermal slip, and generation parameters.
American Psychological Association (APA)
Rashidi, Mohammad Mehdi& Momoniat, Ebrahim& Ferdows, M.& Basiriparsa, A.. 2014. Lie Group Solution for Free Convective Flow of a Nanofluid Past a Chemically Reacting Horizontal Plate in a Porous Media. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-21.
https://search.emarefa.net/detail/BIM-456416
Modern Language Association (MLA)
Rashidi, Mohammad Mehdi…[et al.]. Lie Group Solution for Free Convective Flow of a Nanofluid Past a Chemically Reacting Horizontal Plate in a Porous Media. Mathematical Problems in Engineering No. 2014 (2014), pp.1-21.
https://search.emarefa.net/detail/BIM-456416
American Medical Association (AMA)
Rashidi, Mohammad Mehdi& Momoniat, Ebrahim& Ferdows, M.& Basiriparsa, A.. Lie Group Solution for Free Convective Flow of a Nanofluid Past a Chemically Reacting Horizontal Plate in a Porous Media. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-21.
https://search.emarefa.net/detail/BIM-456416
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456416