@Article{AAMM-9-4,
author = {Shafqat, Hussain},
title = {Finite Element Solution for MHD Flow of Nanofluids with Heat and Mass Transfer Through a Porous Media with Thermal Radiation, Viscous Dissipation and Chemical Reaction Effects},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2017},
volume = {9},
number = {4},
pages = {904--923},
abstract = {<p style="text-align: justify;">In this paper, the problem of magnetohydrodynamics (MHD) boundary
layer flow of nanofluid with heat and mass transfer through a porous media in the
presence of thermal radiation, viscous dissipation and chemical reaction is studied.
Three types of nanofluids, namely Copper ($Cu$)-water, Alumina ($Al_2O_3$)-water and Titanium
Oxide ($TiO_2$)-water are considered. The governing set of partial differential
equations of the problem is reduced into the coupled nonlinear system of ordinary differential
equations (ODEs) by means of similarity transformations. Finite element solution
of the resulting system of nonlinear differential equations is obtained using continuous
Galerkin-Petrov discretization together with the well-known shooting technique.
The obtained results are validated using MATLAB &quot;bvp4c&quot; function and with
the existing results in the literature. Numerical results for the dimensionless velocity,
temperature and concentration profiles are obtained and the impact of various physical
parameters such as the magnetic parameter $M$, solid volume fraction of nanoparticles $ϕ$ and type of nanofluid on the flow is discussed. The results obtained in this
study confirm the idea that the finite element method (FEM) is a powerful mathematical
technique which can be applied to a large class of linear and nonlinear problems
arising in different fields of science and engineering.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m793},
url = {https://global-sci.com/article/73284/finite-element-solution-for-mhd-flow-of-nanofluids-with-heat-and-mass-transfer-through-a-porous-media-with-thermal-radiation-viscous-dissipation-and-chemical-reaction-effects}
}