@Article{AAMM-2-763,
author = {Sankar , Mani},
title = {Numerical Study of Double Diffusive Convection in Partially Heated Vertical Open Ended Cylindrical Annulus},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2010},
volume = {2},
number = {6},
pages = {763--783},
abstract = {<p style="text-align: justify;">A numerical investigation of laminar natural double diffusive convection in
an open ended vertical cylindrical annulus with unheated entry and unheated
exit is performed. Both boundary conditions of uniform wall temperature/uniform
wall concentration (UWT/UWC) and uniform heat flux/uniform mass flux (UHF/UMF)
are considered. Results of dimensionless induced volume rate $Q$, average Nusselt
number $\overline{Nu}$ and Sherwood number $\overline{Sh}$ are obtained for air
flow under various buoyancy ratio $N$, Grashof numbers due to heat and mass transfer
$Gr_T$ and $Gr_M$, Schmidt number $Sc$ and combinations of unheated entry, heated
section and unheated exit length. Since the flow under consideration is a boundary
layer type, the governing partial differential equations was discretized to a linear
system of equations by the use of an implicit finite difference method. The nonlinear
convective terms are approximated by second upwind difference method for the numerical
stability. The numerical results reveal that the presence of unheated entry and unheated
exit severely affects the heat and mass transfer rates. The numerical solutions are found
to approach asymptotically the closed form solutions for fully developed flow. Further,
the present numerical results are validated with the existing solutions for pure thermal
convection and are found to be in good agreement.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.09-m0997},
url = {http://global-sci.org/intro/article_detail/aamm/8359.html}
}