Open AccessLie symmetry group analysis of magnetic field effects on free convective flow of a nanofluid over a semi-infinite stretching sheet
Author(s) -
N. Vishnu Ganesh,
B. Ganga,
A.K. Abdul Hakeem
Publication year - 2014
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.08.003
Subject(s) - nanofluid , nusselt number , prandtl number , mathematics , boundary layer , symmetry (geometry) , ordinary differential equation , flow (mathematics) , mechanics , partial differential equation , classical mechanics , heat transfer , mathematical analysis , physics , differential equation , geometry , turbulence , reynolds number
We investigate the steady two-dimensional flow of an incompressible water based nanofluid over a linearly semi-infinite stretching sheet in the presence of magnetic field numerically. The basic boundary layer equations for momentum and heat transfer are non-linear partial differential equations. Lie symmetry group transformations are used to convert the boundary layer equations into non-linear ordinary differential equations. The dimensionless governing equations for this investigation are solved numerically using Nachtsheim–Swigert shooting iteration technique together with fourth order Runge–Kutta integration scheme. Effects of the nanoparticle volume fraction ϕ, magnetic parameter M, Prandtl number Pr on the velocity and the temperature profiles are presented graphically and examined for different metallic and non-metallic nanoparticles. The skin friction coefficient and the local Nusselt number are also discussed for different nanoparticles