Simple Search:

Lie group analysis and similarity solutions for mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet


Citation

Chaharborj, Sarkhosh Seddighi and Ismail, Fudziah and Gheisari, Yousof and Chaharborj, Reza Seddighi and Abu Bakar, Mohd Rizam and Abdul Majid, Zanariah (2013) Lie group analysis and similarity solutions for mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet. Abstract and Applied Analysis, 2013. art. no. 269420. pp. 1-11. ISSN 1085-3375; ESSN: 1687-0409

Abstract / Synopsis

An analysis for the mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet is carried out via symmetry analysis. By employing Lie group method to the given system of nonlinear partial differential equations, we can obtain information about the invariants and symmetries of these equations. This information can be used to determine the similarity variables that will reduce the number of independent variables in the system. The transformed ordinary differential equations are solved numerically for some values of the parameters involved using fifth-order Improved Runge-Kutta Method (IRK5) coupled with shooting method. The features of the flow and heat transfer characteristics are analyzed and discussed in detail. Both cases of assisting and opposing flows are considered. This paper' results in comparison with known results are excellent.


Download File

[img] PDF
30210.pdf
Restricted to Repository staff only

Download (2MB)

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2013/269420
Publisher: Hindawi Publishing Corporation
Keywords: Convection; Boundary layer; Lie group method; Runge-Kutta method
Depositing User: Umikalthom Abdullah
Date Deposited: 26 Aug 2014 15:52
Last Modified: 19 Oct 2017 15:32
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/269420
URI: http://psasir.upm.edu.my/id/eprint/30210
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item