NUMERICAL STUDY OF MIXED CONVECTION HEAT TRANSFER IN LID-DRIVEN CAVITY UTILIZING NANOFLUID: EFFECT OF TYPE AND MODEL OF NANOFLUID
Abstract
Numerical investigation of the laminar mixed convection in two-dimensional
lid driven cavity filled with water-Al2O3, water-Cu or water-TiO2 nanofluids
is done in this work. In the present study, the top and bottom horizontal
walls are thermally insulated while the vertical walls are kept at constant
but different temperatures. The governing equations are given in term of the
stream function-vorticity formulation in the non-dimensionalized form and
then solved numerically by second-order central difference scheme. The
thermal conductivity and effective viscosity of nanofluid have been
calculated by Maxwell-Garnett and Brinkman models, respectively. An
excellent agreement between the current work and previously published data
on the basis of special cases are found. The governing parameters are
Rayleigh number 103 ≤ Ra ≤ 106and solid concentration 0 ≤ φ ≤ 0.2 at
constant Reynolds and Prandtl numbers. An increase in mean Nusselt
number is found as the volume fraction of nanoparticles increases for the
whole range of Rayleigh numbers. In addition, it is found that significant
heat transfer enhancement can be obtained by increasing thermal
conductivity coefficient of additive particles. At Ra=1.75×105, the Nusselt number increases by about 21% for TiO2-Water, and almost 25% for Al2O3 - Water, and finally around 40% for Cu-Water nanofluid. Therefore, the highest values are obtained when using Cu nanoparticles. The result obtained using variable thermal conductivity and variable viscosity models are also compared to the results acquired by the Maxwell-Garnett and the Brinkman model.
Dates
- Submission Date2012-07-18
- Revision Date2013-05-14
- Acceptance Date2013-05-14
- Online Date2013-06-01
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