%0 Journal Article
%A Tongkratoke, Amarin
%A Pramuanjaroenkij, Anchasa
%A Chaengbamrung , Apichart
%A Kakac, Sadik
%D 2016
%I Begell House
%K nanofluids, fully developed laminar flow, mathematical modeling, porous media, Al_{2}O_{3} nanoparticles
%N 1-2
%P 17-29
%R 10.1615/HeatPipeScieTech.2016017200
%T DEVELOPMENT OF MATHEMATICAL MODELING FOR NANOFLUIDS AS POROUS MEDIA IN HEAT TRANSFER TECHNOLOGY
%U http://dl.begellhouse.com/journals/4b0844fc3a2ef17f,6037194f124550ae,30b86ba1637fcb5f.html
%V 7
%X Nanofluids are terms representing combinations of nanoparticles and base fluids and used as working media in heat transfer technologies. The nanoparticles possess a high thermal conductivity property; they can improve the overall heat transfer properties of the base fluids (low thermal
conductivity) mixed with particles. In nanofluid flow, nanoparticles flow together with the base fluid and the particles can be assumed to be distributed uniformly throughout the base fluid, the nanofluid flow can also be assumed as fluid flow through uniform porous media with nanofluid properties. This work presents a mathematical model of nanofluid flow which has been developed as steady flow of a base fluid through a porous medium of Al_{2}O_{3} nanoparticles. The simulated
nanofluid flow is under a fully developed laminar flow condition through a rectangular pipe. The governing equations written in terms of the three-dimensional dimensionless variables were solved through an in-house program by using the finite volume method with the SIMPLE algorithm. Since the Al_{2}O_{3}/water nanofluid flow was simulated as the flow through porous media, so the effects of the porous media characteristics such as porosity and thermal conductivity were studied.
The porosity value of 0.98 was considered for a nanofluid volume fraction of 0.02% as a relationship between the porosity and the volume fraction. The mixing thermal conductivity model, the Yu and Choi model coupled with the Maxwell model, was applied for the thermal conductivity
model of porous media. The relationships between the porosity and the volume fraction, assumed from the results, can be proved to be satisfied. This implied that the particles were distributed uniformly throughout a fluid and nanofluid flow could be taken as the fluid with the
nanofluid properties flowing through porous media. The developed model using the mixing thermal conductivity model with the porous medium assumption can improve the model performance and support its excellent potential in the nanofluid simulation as porous media.
%8 2017-02-17