Computational modelling and similarity reduction of equations for transient fluid flow and heat transfer with variable properties
Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi
Abstract
We consider a system of coupled partial differential equations describing transient fluid flow and heat transfer with variable flow
properties. Classical Lie point symmetry analysis of this system resulted in admitted large Lie algebras for some special cases of
the arbitrary constants and the source term. Symmetry reductions are performed and as such the system of partial differential
equations is reduced to the system of ordinary differential equations. Some reduced ordinary differential equation could be solved
exactly with restrictions on the parameters appearing in it. In addition, shooting quadrature is employed to numerically tackle the
nonlinear model boundary value problem and pertinent results are presented graphically and discussed quantitatively
Description
CITATION: Moitsheki, R. J. & Makinde, O. D. 2013. Computational modelling and similarity reduction of equations for transient fluid flow and heat transfer with variable properties. Advances in Mechanical Engineering, Article ID 983962, doi:10.1155/2013/983962.
The original publication is available at https://journals.sagepub.com
The original publication is available at https://journals.sagepub.com
Keywords
Engineering -- Mathematical models, Heat
Citation
Advances in Mechanical Engineering
2013
Moitsheki, R. J. & Makinde, O. D. 2013. Computational modelling and similarity reduction of equations for transient fluid flow and heat transfer with variable properties. Advances in Mechanical Engineering, Article ID 983962, doi:10.1155/2013/983962.
2013
Moitsheki, R. J. & Makinde, O. D. 2013. Computational modelling and similarity reduction of equations for transient fluid flow and heat transfer with variable properties. Advances in Mechanical Engineering, Article ID 983962, doi:10.1155/2013/983962.