@Article{AAMM-15-3,
author = {Sohail, Ahmed and Xu, Hang and Sun, Qiang},
title = {Coiflet Wavelet-Homotopy Solutions to Bio-Thermal Convection in a Square Cavity},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2023},
volume = {15},
number = {3},
pages = {684--718},
abstract = {<p style="text-align: justify;">In this paper, the natural convection of a complex fluid that contains both
nanoparticles and gyrotactic microorganisms in a heated square cavity is considered.
The Buongiorno model is applied to descirbe the nanofluid behaviours. Both the top
and bottom horizontal walls of the cavity are adiabatic, and there is a temperature
difference between the left and right vertical walls. The non-dimensional governing equations are obtained when the stream-vorticity formulation of function is used,
which are solved by the recently developed robust Coiflet wavelet homotopy analysis method. A rigid verification for the solver is given. Besides, the effects of various
physics parameters including the Rayleigh number, the buoyancy ratio parameter, the
bioconvection Rayleigh number, the Prandtl number, the Brownian motion parameter, the thermophoresis parameter, the heat generation parameter, the Lewis number,
the bioconvection Peclet number and the Schmidt number on this complicated natural convection are examined. It is known that natural convection is closely related
to our daily life owing to its wide existence in nature and engineering applications.
We believe that our work will make a significant contribution to a better understanding of the natural convection of a complex fluid in a cavity with suspensions of both
inorganic nanoparticles and organic microorganisms.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2021-0345},
url = {https://global-sci.com/article/72850/coiflet-wavelet-homotopy-solutions-to-bio-thermal-convection-in-a-square-cavity}
}