@Article{AAMM-5-1,
author = {Li, Dingfang and Xiaofeng, Wang and Hui, Feng},
title = {Fully HOC Scheme for Mixed Convection Flow in a Lid-Driven Cavity Filled with a Nanofluid},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2013},
volume = {5},
number = {1},
pages = {55--77},
abstract = {<p style="text-align: justify;">A fully higher-order compact (HOC) finite difference scheme on the
9-point two-dimensional (2D) stencil is formulated for solving the
steady-state laminar mixed convection flow in a lid-driven inclined
square enclosure filled with water-$Al_2O_3$ nanofluid. Two
cases are considered depending on the direction of temperature
gradient imposed (Case I, top and bottom; Case II, left and right).
The developed equations are given in terms of the stream
function-vorticity formulation and are non-dimensionalized and then
solved numerically by a fourth-order accurate compact finite
difference method. Unlike other compact solution procedure in
literature for this physical configuration, the present method is
fully compact and fully higher-order accurate. The fluid flow, heat
transfer and heat transport characteristics were illustrated by
streamlines, isotherms and averaged Nusselt number. Comparisons with
previously published work are performed and found to be in excellent
agreement. A parametric study is conducted and a set of graphical
results is presented and discussed to elucidate that significant
heat transfer enhancement can be obtained due to the presence of
nanoparticles and that this is accentuated by inclination of the
enclosure at moderate and large Richardson numbers.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.10-m1072},
url = {https://global-sci.com/article/73479/fully-hoc-scheme-for-mixed-convection-flow-in-a-lid-driven-cavity-filled-with-a-nanofluid}
}