Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-15T19:23:15.176Z Has data issue: false hasContentIssue false
  • English
  • Français

Effects of Nanoparticle Migration on Water/Alumina Nanofluid Flow Inside a Horizontal Annulus with a Moving Core

Published online by Cambridge University Press:  12 August 2014

A. Malvandi  and
D. D. Ganji
A. Malvandi*
Affiliation:
Young Researchers and Elite Club, Karaj Branch, Islamic Azad University, Karaj, Iran
D. D. Ganji
Affiliation:
Mechanical Engineering Department, Babol Noshirvani University of Technology, Babol, Iran
*
*Corresponding author ([email protected]
Get access

Abstract

The present study is a theoretical investigation of the laminar flow and convective heat transfer of water/alumina nanofluid inside a horizontal annulus with a streamwise moving inner cylinder. A modified, two-component, four-equation, nonhomogeneous equilibrium model is employed for the alumina/water nanofluid, which fully accounts for the effect of the nanoparticle volume fraction distribution. To determine the effects of thermal boundary conditions on the migration of the nanoparticles, two cases are considered: constant heat flux at the outer wall with an adiabatic inner wall (Case A) and constant heat flux at the inner wall with an adiabatic outer wall (Case B). The numerical results indicate that the thermal boundary conditions at the pipe walls significantly affect the nanoparticle distribution, particularly in cases where the ratio of Brownian motion to thermophoretic diffusivities is small. Moreover, increasing the velocity of the moving inner cylinder reduces the heat transfer rate for Case A. Conversely, in Case B, the movement of the inner cylinder enhances the heat transfer rate, and anomalous heat transfer enhancement occurs when the thermophoretic force is dominant (in larger nanoparticles).

Keywords

Alumina/water nanofluidForce convectionModified Buongiorno's modelThermophoretic forceBrownian motion
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 3 , June 2015 , pp. 291 - 305
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Nobari, M. R. H. and Malvandi, A., “Torsion and Curvature Effects on Fluid Flow in a Helical Annulus” International Journal of Non-Linear Mechanics, 57, pp. 90–101 (2013).Google Scholar
2.Maxwell, J. C., A Treatise on ElecMcity and Magnetism, 2nd Edition, 1, Clarendon press, Oxford, Uk (1873).Google Scholar
3.Choi, S. U. S., “Enhancing Thermal Conductivity of Fluids with Nanoparticles” Developments and Applications of Non-Newtonüan Flows, Siginer, D. A. and Wang, H. P. Eds., 231, American Society of Mechanical Engineers, NY, USA, pp. 99—105 (1995).Google Scholar
4.Masuda, H., Ebata, A., Teramae, K. and Hishinuma, N., “Alteration of Thermalconductivity and Viscosity of Liquid by Dispersing Ultra-fine Particles” Netsu Bussei, 7, pp. 227–233 (1993).CrossRefGoogle Scholar
5.Lee, S., Choi, S. U. S., Li, S. and Eastman, J. A., “Measuring Thermal Conductivity of Fluids Containing Oxide Nanoparticles” Journal of Heat Transfer, 121, pp. 280–289 (1999).Google Scholar
6.Eastman, J. A., Choi, S. U. S., Li, S., Yu, W. and Thompson, L. J., “Anomalously Increased Effective Thermal Conductivities of Ethylene Glycol-Based Nanofluids Containing Copper Nanoparticles” Applied Physics Letters, 78, pp. 718–720 (2001).CrossRefGoogle Scholar
7.Choi, S. U. S., Zhang, Z. G., Yu, W., Lockwood, F. E. and Grulke, E. A., “Anomalous Thermal Conductivity Enhancement in Nanotube Suspensions” Applied Physics Letters, 79, pp. 2252–2254 (2001).CrossRefGoogle Scholar
8.Fan, J. and Wang, L., “Review of Heat Conduction in Nanofluids” Journal of Heat Transfer, 133, pp. 040801–040801 (2011).Google Scholar
9.Buongiorno, J., “Convective Transport in Nanoflu-ids” Journal of Heat Transfer, 128, pp. 240–250 (2006).Google Scholar
10.Kuznetsov, A. V. and Nield, D. A., “Natural Con-vec-Tive Boundary-Layer Flow of a Nanofluid Past a Vertical Plate” International Journal of Thermal Sciences, 49, pp. 243–247 (2010).Google Scholar
11.Tzou, D. Y., “Thermal Instability of Nanofluids in Natural Convection” International Journal of Heat and Mass Transfer, 51, pp. 2967–2979 (2008).Google Scholar
12.Hwang, K. S., Jang, S. P. and Choi, S. U. S., “Flow and Convective Heat Transfer Characteristics of Water-Based Al2O3 Nanofluids in Fully Developed Lam-Inar Flow Regime” International Journal of Heat and Mass Transfer, 52, pp. 193–199 (2009).Google Scholar
13.Nield, D. A. and Kuznetsov, A. V., “The Cheng- Minkowycz Problem for Natural Convective Boundary-Layer Flow in a Porous Medium Saturated by a Nanofluid” International Journal of Heat and Mass Transfer, 52, pp. 5792–5795 (2009).CrossRefGoogle Scholar
14.Nield, D. A. and Kuznetsov, A. V., “The Onset of Convection in a Horizontal Nanofluid Layer of Finite Depth” European Journal of Mechanics – B/Fluids, 29, pp. 217–223 (2010).Google Scholar
15.Malvandi, A., Hedayati, F., Ganji, D. D. and Ros-tamiyan, Y., “Unsteady Boundary Layer Flow of Nanofluid Past a Permeable Stretching/Shrinking Sheet with Convective Heat Transfer” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 228, pp. 1175–1184 (2014).Google Scholar
16.Malvandi, A., Hedayati, F. and Ganji, D. D., “Slip effects on Unsteady Stagnation Point Flow of a Nanofluid over a Stretching Sheet” Powder Technology, 253, pp. 377–384 (2014).Google Scholar
17.Malvandi, A., Hedayati, F. and Nobari, M., “An HAM Analysis of Stagnation-Point Flow of a Nanofluid over a Porous Stretching Sheet with Heat Generation” Journal of Applied Fluid Mechanics, 7,pp. 135–145 (2014).Google Scholar
18.Malvandi, A., Hedayati, F. and Domairry, G., “Stagnation Point Flow of a Nanofluid toward an Exponentially Stretching Sheet with Nonuniform Heat Generation/Absorption” Journal of Thermodynamics, 1, p. 12 (2013).Google Scholar
19.Malvandi, A. and Ganji, D. D., “Fully Developed Flow and Heat Transfer of Nanofluids Inside a Vertical Annulus” Journal of the Brazilian Society of Mechanical Sciences and Engineering, pp. 1–7 (2014).Google Scholar
20.Malvandi, A., “The Unsteady Flow of a Nanofluid in the Stagnation Point Region of a Time-dependent Rotating Sphere” Thermal Science, in press (2013).Google Scholar
21.Sheikholeslami, M., Gorji-Bandpy, M., Ganji, D. D. and Soleimani, S., “Heat Flux Boundary Condition for Nanofluid Filled Enclosure in Presence of Magnetic Field” Journal of Molecular Liquids, 193, pp. 174–184 (2014).CrossRefGoogle Scholar
22.Sheikholeslami, M., Hatami, M. and Ganji, D. D., “Nanofluid Flow and Heat Transfer in a Rotating System in the Presence of a Magnetic Field” Journal of Molecular Liquids, 190, pp. 112–120 (2014).Google Scholar
23.Sheikholeslami, M., Gorji-Bandpy, M., Ganji, D. D. and Soleimani, S., “Thermal Management for Free Convection of Nanofluid Using Two Phase Model” Journal of Molecular Liquids, 194, pp. 179–187 (2014).Google Scholar
24.Sheikholeslami, M. and Ganji, D. D., “Numerical Investigation for Two Phase Modeling of Nanofluid in a Rotating System with Permeable Sheet” Journal of Molecular Liquids, 194, pp. 13–19 (2014).Google Scholar
25.Domairry, G. and Hatami, M., “Squeezing Cu-Water Nanofluid Flow Analysis Between Parallel Plates by DTM-Padé Method” Journal of Molecular Liquids, 193, pp. 37–44 (2014).Google Scholar
26.Yang, C., Li, W. and Nakayama, A., “Convective Heat Transfer of Nanofluids in a Concentric Annu- lus” International Journal of Thermal Sciences, 71, pp. 249–257 (2013).CrossRefGoogle Scholar
27.Hatami, M. and Ganji, D. D., “Heat Transfer and Nanofluid Flow in Suction and Blowing Process Be-Tween Parallel Disks in Presence of Variable Magnetic Field” Journal of Molecular Liquids, 190, pp. 159–168 (2014).Google Scholar
28.Hatami, M., Nouri, R. and Ganji, D. D., “Forced Convection Analysis for MHD Al2O3-Water Nanofluid Flow over a Horizontal Plate” Journal of Molecular Liquids, 187, pp. 294–301 (2013).Google Scholar
29.Hatami, M. and Ganji, D. D., “Heat Transfer and Flow Analysis for SA-Tio2 Non-Newtonian Nanofluid Passing Through the Porous Media Between Two Co-Axial Cylinders” Journal of Molecular Liquids, 188, pp. 155–161 (2013).CrossRefGoogle Scholar
30.Shahi, M., Mahmoudi, A. H. and Talebi, F., “A Numerical Investigation of Conjugated-Natural Convection Heat Transfer Enhancement of a Nanofluid in an Annular Tube Driven by Inner Heat Generating Solid Cylinder” International Communications in Heat and Mass Transfer, 38, pp. 533–542 (2011).Google Scholar
31.Hayat, T., Yasmin, H., Ahmad, B., and Chen, B., “Simultaneous Effects of Convective Conditions and Nanoparticles on Peristaltic Motion” Journal of Molecular Liquids, 193, pp. 74–82 (2014).Google Scholar
32.Hayat, T., Abbasi, F. M., Al-Yami, M. and Monaquel, S., “Slip and Joule Heating Effects in Mixed Convection Peristaltic Transport of Nanofluid with Soret and Dufour Effects” Journal of Molecular Liquids, 194, pp. 93–99 (2014).Google Scholar
33.Ashorynejad, H. R., Mohamad, A. A. and Sheikholeslami, M., “Magnetic Field Effects on Natural Convection Flow of a Nanofluid in a Horizontal Cylindrical Annulus Using Lattice Boltzmann Method” International Journal of Thermal Sciences, 64, pp. 240–250 (2013).Google Scholar
34.Sheikhzadeh, G. A., Arefmanesh, A., Kheirkhah, M. H. and Abdollahi, R., “Natural Convection of Cu–Water Nanofluid in a Cavity with Partially Active Side Walls” European Journal of Mechanics – B/Fluids, 30, pp. 166–176 (2011).Google Scholar
35.Kefayati, G. H. R., “Natural Convection of Ferroflu-id in a Linearly Heated Cavity Utilizing LBM” Journal of Molecular Liquids, 191, pp. 1–9 (2014).Google Scholar
36.Khorasanizadeh, H., Nikfar, M. and Amani, J., “Entropy Generation of Cu-Water Nanofluid Mixed Convection in a Cavity” European Journal of Mechanics – B/Fluids, 37, pp. 143–152 (2013).Google Scholar
37.Shigechi, T. and Lee, Y., “An Analysis on Fully De-Veloped Laminar Fluid Flow and Heat Transfer in Concentric Annuli with Moving Cores” International Journal of Heat and Mass Transfer, 34, pp. 2593–2601 (1991).Google Scholar
38.Huang, S. and Chun, C.-H., “A Numerical Study of Turbulent Flow and Conjugate Heat Transfer in Concentric Annuli with Moving Inner Rod” International Journal of Heat and Mass Transfer, 46, pp. 3707–3716 (2003).CrossRefGoogle Scholar
39.Lee, Y. and Shigechi, T., “Heat Transfer in Concentric Annuli with Moving Cores Fully Developed Turbulent Flow with Arbitrarily Prescribed Heat Flux” International Journal of Heat and Mass Transfer, 35, pp. 3488–3493 (1992).Google Scholar
40.Shigechi, T., Kawae, N. and Lee, Y., “Turbulent Fluid Flow and Heat Transfer in Concentric Annuli with Moving Cores” International Journal of Heat and Mass Transfer, 33, pp. 2029–2037 (1990).Google Scholar
41.Malvandi, A., Moshizi, S. A., Soltani, E. G. and Ganji, D. D., “Modified Buongiorno's Model for Fully Developed Mixed Convection Flow of Nanofluids in a Vertical Annular Pipe” Computers & Fluids, 89, pp. 124–132 (2014).CrossRefGoogle Scholar
42.Malvandi, A. and Ganji, D. D., “Effects of Nanopar-Ticle Migration on Force Convection of Alumina/Water Nanofluid in a Cooled Parallel-Plate Channel” Advanced Powder Technology, In press (2014).Google Scholar
43.Malvandi, A. and Ganji, D. D., “Magnetic Field Effect on Nanoparticles Migration and Heat Transfer of Water/Alumina Nanofluid in a Channel” Journal of Magnetism and Magnetic Materials, 362, pp. 172–179 (2014).Google Scholar
44.Yang, C., Li, W., Sano, Y., Mochizuki, M. and Na-kayama, A., “On the Anomalous Convective Heat Transfer Enhancement in Nanofluids: A Theoretical Answer to the Nanofluids Controversy” Journal of Heat Transfer, 135, pp. 054504–054504 (2013).Google Scholar
45.Kays, W., Crawford, M. and Weigand, B., Convec-tive Heat & Mass Transfer W/Engineering Subscription Card, McGraw-Hill Companies, Incorporated, 2005. 46.Google Scholar
46.Moghari, R. M., Mujumdar, A. S., Shariat, M., Talebi, F., Sajjadi, S. M. and Akbarinia, A., “Investigation Effect of Nanoparticle Mean Diameter on Mixed Convection Al2O3-Water Nanofluid Flow in an Annulus by Two Phase Mixture Model” International Communications in Heat and Mass Transfer, 49, pp. 25–35 (2013).Google Scholar
47.Mirmasoumi, S. and Behzadmehr, A., “Effect of Nanoparticles Mean Diameter on Mixed Convection Heat Transfer of a Nanofluid in a Horizontal Tube” International Journal of Heat and Fluid Flow, 29, pp. 557–566 (2008).CrossRefGoogle Scholar