ISSN 打印: 2151-7975
ISSN 在线: 2151-7991

Archives: Volume 1, 2010 to Volume 8, 2017

# 热管科学与技术

DOI: 10.1615/HeatPipeScieTech.2016017200
pages 17-29

## DEVELOPMENT OF MATHEMATICAL MODELING FOR NANOFLUIDS AS POROUS MEDIA IN HEAT TRANSFER TECHNOLOGY

Amarin Tongkratoke
Faculty of Science and Engineering, Kasetsart University, Chalermphrakiat Sakon Nakhon Province Campus, Sakon Nakhon 47000 Thailand
Anchasa Pramuanjaroenkij
Faculty of Science and Engineering, Kasetsart University, Chalermphrakiat Sakon Nakhon Province Campus, Sakon Nakhon 47000 Thailand
Apichart Chaengbamrung
Department of Mechanical Engineering, Kasetsart University, Bangkok, 10900, Thailand
Department of Mechanical Engineering,TOBB University of Economics and Technology, Ankara-Turkey; and LIPING CAO, Westinghouse Electric Company, LLC, PA; and Department of Mechanical Engineering, University of Miami, Florida - USA

### ABSTRACT

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 Al2O3 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 Al2O3/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.

### Articles with similar content:

NUMERICAL STUDY OF NANOFLUID HEAT TRANSFER ENHANCEMENT WITH MIXING THERMAL CONDUCTIVITY MODELS
Computational Thermal Sciences: An International Journal, Vol.6, 2014, issue 1
Anchasa Pramuanjaroenkij, Sadik Kakac, Apichart Chaengbamrung , Amarin Tongkratoke
NUMERICAL STUDY OF NANOFLUID HEAT TRANSFER ENHANCEMENT WITH MIXING THERMAL CONDUCTIVITY MODELS
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2012, issue
Anchasa Pramuanjaroenkij, Sadik Kakac, Apichart Chaengbamrung , Amarin Tongkratoke
NANOFLUIDS FLOW SIMULASION AS THE FLOW THROUGH THE POROUS MEDIA
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2014, issue
Anchasa Pramuanjaroenkij, Sadik Kakac, Apichart Chaengbamrung , Amarin Tongkratoke
THE PERMEABILITY EFFECTS OF COPPER-NANOFLUID FLOW WITH USING THE POROUS MEDIA MODEL
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2015, issue
Anchasa Pramuanjaroenkij, Sadik Kakac, Apichart Chaengbamrung , Amarin Tongkratoke
EXPERIMENTAL EVALUATION AND ANN MODELING OF THERMAL CONDUCTIVITY OF AL2O3 NANOPARTICLES DISPERSED IN DIFFERENT BASE FLUIDS
Proceedings of the 24th National and 2nd International ISHMT-ASTFE Heat and Mass Transfer Conference (IHMTC-2017), Vol.0, 2017, issue
Dilip Singh Naruka, H. E. Patel, Pawan K. Singh, Prabhat Dansena