Abstract and Applied Analysis

Lie Group Analysis and Similarity Solutions for Mixed Convection Boundary Layers in the Stagnation-Point Flow toward a Stretching Vertical Sheet

Sarkhosh Seddighi Chaharborj, Fudziah Ismail, Yousof Gheisari, Reza Seddighi Chaharborj, Mohd Rizam Abu Bakar, and Zanariah Abdul Majid

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 269420, 11 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393444224

Digital Object Identifier
doi:10.1155/2013/269420

Mathematical Reviews number (MathSciNet)
MR3035272

Zentralblatt MATH identifier
1383.35155

Citation

Seddighi Chaharborj, Sarkhosh; Ismail, Fudziah; Gheisari, Yousof; Seddighi Chaharborj, Reza; Abu Bakar, Mohd Rizam; Abdul Majid, Zanariah. Lie Group Analysis and Similarity Solutions for Mixed Convection Boundary Layers in the Stagnation-Point Flow toward a Stretching Vertical Sheet. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 269420, 11 pages. doi:10.1155/2013/269420. https://projecteuclid.org/euclid.aaa/1393444224


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