Nanofluid flow towards a convectively heated stretching surface with heat source/sink: A lie group analysis

This paper considers the steady two dimensional flow of an electrically conducting nanofluid over a vertical convectively heated permeable stretching surface with variable stream conditions in presence of a uniform transverse magnetic field and internal heat source/sink. The transport equations include the effects of Brownian motion and thermophoresis. The governing partial differential equations are converted to ordinary differential equations via Lie group analysis. We employ an extensively validated, highly efficient symbolic software MATHEMATICA using finite difference code to study the problem numerically. The influences of various relevant parameters on the temperature and nanoparticle volume fraction as well as wall heat flux and wall mass flux are elucidated through graphs and tables. © 2012 African Mathematical Union and Springer-Verlag Berlin Heidelberg.