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A New Exact-Analytical Solution for Convective Heat Transfer of Nanofluids Flow in Isothermal Pipes

Published online by Cambridge University Press:  15 November 2017

P. Akbarzadeh
P. Akbarzadeh*
Affiliation:
School of Mechanical Engineering Shahrood University of Technology Shahrood, Iran
*
*Corresponding author ([email protected]; [email protected])
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Abstract

This study presents a new exact-analytical solution for convective heat transfer of thermally fully-developed laminar nanofluid flows in a circular tube for the first time. In this problem, the pipe wall is exposed to a constant temperature. The solution is based on the Whittaker function and perturbation technique. In the nanofluid model, it is assumed that nanoparticles and base-fluid behave as a single-phase with average properties. In this study, the effects of Reynolds number, volume fraction of the particles, Peclet number, and particle diameter are investigated on the average heat transfer coefficient, surface mass transfer, and Nusselt number.

Keywords

Exact-analytical solutionWhittaker functionNusselt numbersIsothermal pipes
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 2 , April 2019 , pp. 233 - 242
Copyright
© The Society of Theoretical and Applied Mechanics 2017 

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References

REFERENCES

Mirmasoumi, S. and Behzadmehr, A., “Numerical Study of Laminar Mixed Convection of a Nanofluid in a Horizontal Tube Using Two-Phase Mixture Model,” Applied Thermal Engineering, 28, pp. 717–727 (2008).Google Scholar
Haghshenas-Fard, M., Nasr-Esfahany, M. and Talaie, M. R., “Numerical Study of Convective Heat Transfer of Nanofluids in a Circular Tube Two-Phase Model Versus Single-Phase Model,” International Communications in Heat and Mass Transfer, 37, pp. 91–97 (2010).Google Scholar
Sattler, K. D., Handbook of Nanophysics: Nanoparticles and Quantum Dots, CRC Press-Taylor & Francis Group, Boca Raton, pp. 33487–2742 (2011).Google Scholar
Li, Q. and Xuan, Y., “Convective Heat Transfer and Flow Characteristic of Cu-Water Nanofluid,” Science in China, Series E, 45, pp. 408–416 (2002).Google Scholar
Xuan, Y. and Li, Q., “Investigation on Convective Heat Transfer and Flow Features of Nanofluids,” ASME Journal of Heat Transfer, 125, pp. 151–155 (2003).Google Scholar
Yang, Y., Zhang, Z. G., Grulke, E. A., Anderson, W. B. and Wu, G., “Heat Transfer Properties of Nanoparticle in Fluid Dispersions in Laminar Flow,” International Journal of Heat and Mass Transfer, 48, pp. 1107–1116 (2005).Google Scholar
Zeinali-Heris, S., Etemad, S. G. and Nasr-Esfahany, M., “Experimental Investigation of Oxide Nanofluid Laminar Flow Convective Heat Transfer in Circular Tube,” International Communication in Heat and Mass Transfer, 33, pp. 529–533 (2006).Google Scholar
Zeinali-Heris, S., Nasr-Esfahany, M. and Etemad, S. G., “Experimental Investigation of Convective Heat Transfer of Al2O3/Water Nanofluid in Circular Tube,” International Journal of Heat and Fluid Flow, 28, pp. 203–210 (2007).Google Scholar
Zeinali-Heris, S., Nasr-Esfahany, M. and Etemad, S. G., “Numerical Investigation of Nanofluid Laminar Convective Heat Transfer through A Circular Tube,” Numerical Heat Transfer, Part A, 52, pp. 1043–1058 (2007).Google Scholar
Wang, X. Q. and Mujumdar, A. S., “Heat Transfer Characteristics of Nanofluids: A Review,” International Journal of Thermal Sciences, 46, pp. 1–19 (2007).Google Scholar
Kumar, K. P., Paul, W. and Sharma, C. P., “Green Synthesis of Gold Nanoparticles with Zingiber Officinale Extract: Characterization and Blood Compatibility,” Process Biochemistry, 46, pp. 2007–2013 (2011).Google Scholar
Hassan, H., “Heat Transfer of Cu-Water Nanofluid in an Enclosure with a Heat Sink and Discrete Heat Source,” European Journal of Mechanics B/Fluids, 45, pp. 72–83 (2014).Google Scholar
Moawed, M., El-Maghlany, W., Ali, R. K. and Hamed, M., “Forced Convection Heat Transfer Inside Tube For Non-Newtonian Fluid Flow Utilizing Nanofluid,” International Journal of Applied Sciences and Engineering Research, 3, pp. 889–898 (2014).Google Scholar
Hsiao, K. L., “Nanofluid Flow with Multimedia Physical Features for Conjugate Mixed Convection and Radiation”, Computers and Fluids, 104, pp. 1–8 (2014).Google Scholar
Hsiao, K. L., “Stagnation Electrical MHD Nanofluid Mixed Convection with Slip Boundary on a Stretching Sheet”, Applied Thermal Engineering, 98, pp. 850–861 (2016).Google Scholar
Xie, H. Q., Lee, H., Youn, W. and Choi, M., “Nanofluids Containing Multiwalled Carbon Nanotubes And Their Enhanced Thermal Conductivities,” Journal of Applied Physics, 94, pp. 4967–4971 (2003).Google Scholar
Li, C. H. and Peterson, G. P., “Mixing Effect on the Enhancement of the Effective Thermal Conductivity of Nanoparticle Suspensions (Nanofluids),” International Journal of Heat and Mass Transfer, 50, pp. 4668–4677 (2007).Google Scholar
Wen, D. and Ding, Y., “Experimental Investigation into Convective Heat Transfer of Nanofluids at The Entrance Region Under Laminar Flow Conditions,” International Journal of Heat and Mass Transfer, 47, pp. 5181–5188 (2004).Google Scholar
Ding, Y., Alias, H., Wen, D. and Williams, R. A., “Heat Transfer of Aqueous Suspensions of Carbon Nanotubes (CNT Nanofluids),” International Journal of Heat and Mass Transfer, 49, pp. 240–250 (2006).Google Scholar
Syam-Sundar, L., Sharma, K. V., Parveen, S. and Gaffar, M. A., “Laminar Convective Heat Transfer of Nanofluids in A Circular Tube under Constant Heat Flux,” International Journal of Nanoparticles, 2, pp. 314–320 (2009).Google Scholar
Kolade, B., Goodson, K. E. and Eaton, J. K., “Convective Performance of Nanofluids in a Laminar Thermally Developing Tube Flow,” Journal of Heat Transfer, 131, 052402–1 (2009).Google Scholar
Alammar, K. and Hu, L., “Laminar Flow and Heat Transfer Characteristics of Nanoparticle Colloidal Dispersions in Water,” Heat Mass Transfer, 46, pp. 541–546 (2010).Google Scholar
Lotfi, R., Saboohi, Y. and Rashidi, A. M. “Numerical Study of Forced Convective Heat Transfer of Nanofluids: Comparison of Different Approaches,” International Communications in Heat and Mass Transfer, 37, pp. 74–78 (2010).Google Scholar
Sundar, L. S. and Sharma, K. V., “Turbulent Heat Transfer and Friction Factor of Al2O3 Nanofluid in Circular Tube with Twisted Tape Inserts,” International Journal of Heat and Mass Transfer, 53, pp. 1409–1416 (2010).Google Scholar
Bajestan, E. E., Niazmand, H. and Renksizbulut, M., “Flow and Heat Transfer of Nanofluids with Temperature Dependent Properties,” 8th International Conference on Nanochannels, Microchannels, and Minichannels (FEDSM-ICNMM2010-30799), August 1-5 Montreal, Canada, pp. 733–739 (2010).Google Scholar
Moraveji, M. K., Darabi, M., Haddad, S. M. H. and Davarnejad, R., “Modeling of Convective Heat Transfer of a Nanofluid in the Developing Region of Tube Flow with Computational Fluid Dynamics,” International Communications in Heat and Mass Transfer, 38, pp. 1291–1295 (2011).Google Scholar
Ben Mansour, R., Galanis, N. and Nguyen, C., “Experimental Study of Mixed Convection with Water-Al2O3 Nanofluid in Inclined Tube with Uniform Wall Heat Flux,” International Journal of Thermal Sciences, 50, pp. 403–410 (2011).Google Scholar
Azimi, S. S. and Kalbasi, M., “Thermal Boundary Layer Analysis of Nanofluid in A Circular Tube,” World Applied Sciences Journal, 22, pp. 333–336 (2013).Google Scholar
Tang, C. C., Tiwari, S. and Cox, M. W., “Viscosity and Friction Factor of Aluminum Oxide-Water Nanofluid Flow in Circular Tubes,” Journal of Nanotechnology in Engineering and Medicine, 4, 021004–6 (2013).Google Scholar
Heyhat, M. M., Kowsary, F., Rashidi, A. M., Momenpour, M. H. and Amrollahi, A., “Experimental Investigation of Laminar Convective Heat Transfer and Pressure Drop of Water-Based Al2O3 Nanofluids in Fully Developed Flow Regime,” Experimental Thermal and Fluid Science, 44, pp. 483–489 (2013).Google Scholar
Pirhayati, M., Akhavan-Behabadi, M. A. and Khayata, M., “Convective Heat Transfer of Oil Based Nanofluid Flow Inside A Circular Tube,” International Journal of Enginnering - Transactions B: Applications, 27, pp. 341–348 (2014).Google Scholar
Mohammed, H. A., Tabatabaeikia, S. and Munisamy, K. M., “Heat Transfer Enhancement Using Nanofluids in a Circular Tube Fitted with Inserts,” Journal of Computational and Theoretical Nanoscience, 11, pp. 655–666 (2014).Google Scholar
Li, W. and Nakayama, A., “Temperature Dependency of Thermophysical Properties in Convective Heat Transfer Enhancement in Nanofluids,” Journal of Thermophysics and Heat Transfer, 29, pp. 504–512 (2015).Google Scholar
Kays, W. M. and Crawford, M. E., Convection Heat and Mass Transfer, Third Edition, McGraw-Hill, New York (1993).Google Scholar
Buongiorno, J., “Convective Transport in Nanofluids,” ASME Journal of Heat Transfer, 128, pp. 240–250 (2006).Google Scholar
Mark, E. D., Numerical Methods and Modeling for Chemical Engineers, John Wiley & Sons, New York (1984).Google Scholar
Norouzi, M. and Davoodi, M., “Exact Analytical Solution on Convective Heat Transfer of Isothermal Pipes,” Journal of Thermophysics and Heat Transfer, 29, pp. 632–636 (2015).Google Scholar
Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, First Edition, Dover, New York (1965).Google Scholar
Whittaker, E. T. and Watson, G. N., A Course in Modern Analysis, 4th ed. Cambridge University Press, Cambridge (1990).Google Scholar
Oztop, H. F. and Abu-Nada, E., “Numerical Study of Natural Convection in Partially Heated Rectangular Enclosures Filled With Nanofluids,” International Journal of Heat and Fluid Flow, 29, pp. 1326–1336 (2008).Google Scholar
Koo, J. and Kleinstreuer, C., “A New Thermal Conductivity Model for Nanofluids,” Journal of Nanoparticles Research, 6, pp. 577–588 (2004).Google Scholar
Rezaee, F. K. and Tayebi, A., “Exergy Destruction of Forced Convective (Ethylene Glycol+Alumina) Nanofluid through A Duct with Constant Wall Temperature in Contrast to (Ethylene Glycol) Fluid,” Journal of Applied Sciences, 10, pp. 1279–1285 (2010).Google Scholar
Incropera, F. P. and DeWitt, D. P., Fundamentals of Heat and Mass Transfer, 4th Edition, John Wiley & Sons, New York (1996).Google Scholar
Apacoglu, B., Kirez, O., Kakac, S. and Yazicioglu, A. G., “Enhancement of Convective Heat Transfer in Laminar and Turbulent Flows with Nanofluids,” VIII Minsk International Seminar on Heat Pipes, Heat Pumps, Refrigerators, Power Sources, Minsk, Belarus (2011).Google Scholar