TY - JOUR
T1 - Effects of Viscous Dissipation and Radiation on MHD Natural Convection in Oblique Porous Cavity with Constant Heat Flux
AU - Alsabery , Ammar I.
AU - Saleh , Habibis
AU - Hashim , Ishak
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 463
EP - 484
PY - 2018
DA - 2018/05
SN - 9
DO - http://doi.org/10.4208/aamm.2014.m765
UR - https://global-sci.org/intro/article_detail/aamm/12159.html
KW - Heat transfer, MHD natural convection, porous media, viscous dissipation, radiation.
AB - <p style="text-align: justify;">Effects of viscous dissipation and radiation on MHD natural convection in
oblique porous cavity with constant heat flux is studied numerically in the present
article. The right inclined wall is maintained at a constant cold temperature $T_c$ and
the left inclined wall has a constant heat flux $q$ with length $S$, while the remainder
of the left wall is adiabatic. The horizontal walls are assumed to be adiabatic. The
governing equations are obtained by applying the Darcy model and Boussinesq approximations.
COMSOL&#39;s finite element method is used to solve the non-dimensional
governing equations together with specified boundary conditions. The governing parameters
of this study are Rayleigh number ($Ra$=10,100,200,250,500 and 1000), Hartmann
number (0 ≤ $Ha$ ≤ 20), inclination angle of the magnetic field ($0^◦$≤ $ω$ ≤ $π/2$),
Radiation (0≤ $R$ ≤15), the heater flux length (0.1≤ $H$ ≤1) and inclination angle of the
sloping wall (−$π$/3 ≤ $φ$ ≤ $π$/3). The results are considered for various values of the
governing parameters in terms of streamlines, isotherms and average Nusselt number.
It is found that the intensity of the streamlines and the isotherm patterns decrease with
an increment in Hartmann number. The overall heat transfer is significantly increased
with the increment of the viscous dissipation and the radiation parameters.</p>