Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-26T21:19:14.668Z Has data issue: false hasContentIssue false
  • English
  • Français

Heat Transfer Phenomena in a Moving Nanofluid Over a Horizontal Surface

Published online by Cambridge University Press:  09 August 2012

K. Vajravelu  and
K. V. Prasad
K. Vajravelu*
Affiliation:
Department of Mathematics; Department of Mechanical, Material and Aerospace Engineering;University of Central Florida, Orlando, Florida 32816, U.S.A.
K. V. Prasad
Affiliation:
Department of Mathematics, Bangalore University, Bangalore 560001, India
*
*Corresponding author (Kuppalapalle.vajravelu@ucf.edu)
Get access

Abstract

A numerical study is carried out to study the effects of variable fluid properties on the boundary layer flow and heat transfer of a nanofluid at a flat sheet. The effects of Brownian motion, thermophoresis and viscous dissipation due to frictional heating are also considered. The temperature-dependent variable fluid properties, namely, the fluid viscosity and the thermal conductivity are assumed to vary, respectively, as an inverse function and a linear function of temperature. Using a similarity transformation, the governing non-linear partial differential equations of the model problem are transformed into coupled non-linear ordinary differential equations and these equations are solved numerically by Keller-Box method. Velocity, temperature, and nanoparticles volume fraction profiles are presented and analyzed for several sets of values of the governing parameters; namely, variable fluid viscosity, variable thermal conductivity, Brownaian motion, thermophoresis and plate-velocity parameters with changes in the Prandtl and Schmidt numbers. It is observed that there is an increase in the skin friction in the upstream movement of the plate: But quite the opposite is true in the downstream movement of the plate. Also, the effect of the Schmidt number and the Brownian motion parameter is to reduce the Sherwood number, where as the effect of thermophoresis parameter is to enhance it.

Keywords

NanofluidVariable fluid propertiesBrownian motionViscous dissipationHeat transferMoving surfaceFinite differences
Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 3 , September 2012 , pp. 579 - 588
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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

REFERENCES

1. Choi, S., “Enhancing Thermal Conductivity of Fluids with Nanoparticle,” Siginer, D.A., Wang, H.P., Eds., Developments and Applications of Non-Newtonian Flows, ASME, MD, 231 and FED 66, pp. 99–105 (1995).Google Scholar
2. Choi, S. U. S., Zhang, Z. C., Yu, W., Lockwood, F. E. and Grulke, E. A., “Anomalouly Thermal Conductivity Enhancement in Nanotube Suspension,” Applied Physics Letters, 79, pp. 2252–2254 (2001).CrossRefGoogle Scholar
3. Masuda, H., Ebata, A., Teramae, K. and Hishinuma, N., “Alteration of Thermal Conductivity and Viscosity of Liquid by Dispersing Ultra-Fine Particles,” Netsu Bussei. 4, pp. 227–233 (1993).Google Scholar
4. Buongiorno, J. and Hu, W., “Nanofluid Coolants for Advanced Nuclear Power Plants,” Proceedings of ICAPP '05, Seoul,” 5705, pp. 15–19 (2005).Google Scholar
5. Kakaç, S. and Pramuanjaroenkij, A., “Review of Convective Heat Transfer- Enhancement with Nanofluids,” International Journal of Heat and Mass Transfer, 52, pp. 3187–3196 (2009).Google Scholar
6. Buongiorno, J., “Convective Transport in Nano Fluids,” Journal of Heat and Transfer, ASME, 128, pp. 240–250 (2006).CrossRefGoogle Scholar
7. Kuznetsov, A. V. and Nield, D. A., “Natural Convective Boundary-Layer Flow of a Nanofluid Past a Vertical Plate,” International Journal of Thermal Sciences, 49, pp. 243–247 (2010).CrossRefGoogle Scholar
8. Aminossadati, S. M. and Ghasemi, B., “Natural Convection Cooling of a Localised Heat Source at the Bottom of a Nanofluid-Filled Enclosure,” European Journal of Mechanics B/Fluids, 28, pp. 630–640 (2009).CrossRefGoogle Scholar
9. Khanafer, K., Vafai, K. and Lightstone, M., “Buoyancy-Driven Heat Transfer Enhancement in a Two-Dimensional Enclosure Utilizing Nanofluids,” International Journal of Heat and Mass Transfer, 46, pp. 3639–3653 (2003).CrossRefGoogle Scholar
10. Ghasemi, B. and Aminossadati, S. M., “Natural Convection Heat Transfer in an Inclined Enclosure Filled with a Water-Cuo Nanofluid,” Numerical Heat Transfer. Part A, 55, pp. 807–823 (2009).CrossRefGoogle Scholar
11. Khan, W. A. and Pop, I., “Boundary-Layer Flow of a Nanofluid Past a Stretching Sheet,” International Journal of Heat and Mass Transfer, 53, pp. 2477–2483 (2010).CrossRefGoogle Scholar
12. Bachok, N., Ishak, A. and Pop, I., “Boundary-Layer Flow of Nano Fluids Over a Moving Surface in a Flowing Fluid,” International Journal of Thermal Sciences, 49, pp. 1663–1668 (2010).Google Scholar
13. Vajravelu, K., Prasad, K. V., Lee, J., Lee, C. H., Pop, I. and Van Gorder, R. A., “Convective Heat Transfer in the Flow of Viscous Ag-Water and Cu-Water Nanofluids Over a Stretching Surface,” International Journal of Thermal Sciences, 50, pp. 843–851 (2011).CrossRefGoogle Scholar
14. Das, S. K., Choi, S. U. S., Yu, W. Y. and Pradeep, T., Nanofluid: Science and Technology, Wiley Interscience, New Jersey (2007).CrossRefGoogle Scholar
15. Herwing, H. and Wickern, G., The Effect Variable Properties on Laminar Boundary Layer Flow, Wärme-Stoffübertragung, 20, pp. 47–57 (1986).Google Scholar
16. Lai, F. C. and Kulacki, F. A., “The Effect of Variable Viscosity on Convective Heat Transfer Along a Vertical Surface in a Saturated Porous Medium,” International Journal of Heat and Mass Transfer, 33, pp. 1028–1031 (1990).CrossRefGoogle Scholar
17. Takhar, H. S., Nitu, S. and Pop, I., “Boundary Layer Flow Due to a Moving Plate: Variable Fluid Properties,” Acta Mechanica, 90, pp. 37–42 (1991).Google Scholar
18. Pop, I., Gorla, R. S. R. and Rashidi, M., “The Effect of Variable Viscosity on Flow and Heat Transfer to a Continuous Moving Flat Plate,” International Journal of Engineering Science, 30, pp. 1–6 (1992).CrossRefGoogle Scholar
19. Hassanien, I. A., “The Effect of Variable Viscosity on Flow and Heat Transfer on a Continuous Stretching Surface,” ZAMM, 77, pp. 876–880 (1997).Google Scholar
20. Subhas Abel, M., Khan, S. K. and Prasad, K. V., “Study of Visco-Elastic Fluid Flow and Heat Transfer Over a Stretching Sheet with Variable Fluid Viscosity,” International Journal of Non-Linear Mechanics, 37, pp. 81–88 (2002).CrossRefGoogle Scholar
21. Seedbeek, M. A., “Finite Element Method for the Effects of Chemical Reaction, Variable Viscosity, Thermophoresis and Heat Generation/Absorption on a Boundary Layer Hydro Magnetic Flow with Heat and Mass Transfer Over a Heat Surface,” Acta Mechanica, 177, pp. 1–18 (2005).CrossRefGoogle Scholar
22. Ali, M. E., “The Effect of Variable Viscosity on Mixed Convection Heat Transfer Along a Vertical Moving Surface,” International Journal of Thermal Sciences, 45, pp. 60–69 (2006).CrossRefGoogle Scholar
23. Prasad, K. V., Pal, D. and Datti, P. S., “MHD Power Law Fluid Flow and Heat Transfer Over a Non-Isothermal Stretching Sheet,” Communication in Nonlinear Science and Numerical Simulation, 14, pp. 2178–2189 (2009).CrossRefGoogle Scholar
24. CRC Hand Book of Chemistry and Physics, 67th Ed., CRC Press, Boca Raton, Florida (1986–1987).Google Scholar
25. Weidman, P. D., Kubitschek, D. G. and Davis, A. M. J., “The Effect of Transpiration on Self-Similar Boundary Layer Flow Over Moving Surfaces,” International Journal of Engineering Science, 44, pp. 730–737 (2006).Google Scholar
26. Cebeci, T. and Bradshaw, P., Physical and Computational Aspects of Convective Heat Transfer, Springer-Verlag, New York (1984).Google Scholar
27. Keller, H. B., Numerical Methods for Two-Point Boundary Value Problems, Dover Publication, New York (1992).Google Scholar
28. Andersson, H. I., Bech, K. H. and Dandapat, B. S., “Magnetohydrodynamic Flow of a Power Law Fluid Over a Stretching Sheet,” International Journal of Non-Linear Mechanics, 27, pp. 929–936 (1992).Google Scholar
29. Na, T. Y., Computational Methods in Engineering Boundary Value Problems, Academic Press, New York (1979).Google Scholar
30. Apelblat, A., “Applications of the Laplace Transform to the Solution of the Boundary Layer Equations. II. Magneto-Hydrodynamic Blasius Problem,” Journal of the Physical Society of Japan, 25, pp. 888–879 (1968).CrossRefGoogle Scholar
31. Davies, T. V., “The Magneto-Hydrodynamic Boundary Layer in the Two-Dimensional Steady Flow Past a Semi-Infinite Flat Plate. I. Uniform Conditions at Infinity,” Proceedings of the Royal Society of London, 273, pp. 496–508 (1963).Google Scholar