The analysis of the suction/injection on the MHD Maxwell fluid past a stretching plate in the presence of nanoparticles by Lie group method

• Authors: Limei Cao , Xinhui Si , Liancun Zheng , Huihui Pang
• Languages of publication: EN

Abstracts

EN

In this paper, the magnetohydrodynamic
(MHD) Maxwell fluid past a stretching plate with suction/
injection in the presence of nanoparticles is investigated.
The Lie symmetry group transformations are used
to convert the boundary layer equations into non-linear
ordinary differential equations. The dimensionless governing
equations are solved numerically using Bvp4c with
MATLAB, which is a collocation method equivalent to
the fourth order mono-implicit Runge-Kutta method. The
effects of some physical parameters, such as the elastic
parameter K, the Hartmann number M, the Prandtl
number Pr, the Brownian motion Nb, the thermophoresis
parameter Nt and the Lewis number Le, on the velocity,
temperature and nanoparticle fraction are studied numerically
especially when suction and injection at the sheet
are considered.

Keywords

EN

Lie group; Maxwell fluid; MHD; stretching surface; suction/injection

Discipline

• 02.20.Sv: Lie algebras of Lie groups
• 02.60.Lj: Ordinary and partial differential equations; boundary value problems
• 47.15.Cb: Laminar boundary layers

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2015
• Volume: 13
• Issue: 1

Dates

online

14 - 1 - 2015

received

5 - 9 - 2014

accepted

7 - 11 - 2014

Contributors

author

Limei Cao

• School of Mathematics and Physics, University
  of Science and Technology Beijing, Beijing 100083, China

author

Xinhui Si

• School of Mathematics and Physics, University
  of Science and Technology Beijing, Beijing 100083, China

author

Liancun Zheng

• School of Mathematics and Physics, University
  of Science and Technology Beijing, Beijing 100083, China

author

Huihui Pang

• College of Science, China Agricultural University,
  Beijing, 100083, P.R. China

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Identifiers

DOI

10.1515/phys-2015-0017