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Scrutiny of Unsteady Flow and Heat Transfer in a Backward-Facing Step Under Pulsating Nanofluid Blowing Using the Eulerian-Eulerian Approach

Published online by Cambridge University Press:  04 September 2017

I. Zahmatkesh*
Affiliation:
Department of Mechanical EngineeringMashhad BranchIslamic Azad UniversityMashhad, Iran
E. Torshizi
Affiliation:
Department of Mechanical EngineeringMashhad BranchIslamic Azad UniversityMashhad, Iran
*
*Corresponding author ([email protected])
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Abstract

In this paper, unsteady flow and heat transfer of water flow in a backward-facing step under pulsating nanofluid blowing are studied numerically. Attention is focused to examine the impact of this type of blowing and its pertinent parameters on the heat transfer performance and to detect possible non-equilibrium between the base fluid and the nanoparticles inside the flow field. To this aim, the Eulerian-Eulerian two-phase model is adopted. This approach consists of separate equation sets for the base fluid and the nanoparticles. So, it provides details of the flow field for each of the constituents, separately. Computations are undertaken for different cases and the consequences of the frequency, amplitude, and the mean velocity of the pulsating blowing as well as the type, diameter, and the volume fraction of the nanoparticles therein on the heat transfer characteristics are analyzed. It is found that in addition to thermal conductivity of the blown nanoparticles, their penetration into the water flow is an important trait that has a momentous role on the heat transfer rate. In the current Eulerian-Eulerian simulation, temperature distributions of the base fluid and the nanoparticles are similar but the corresponding velocity fields are quite distinct. This reveals a kind of non-equilibrium between the base fluid and the nanoparticles inside the flow that invalidates equilibrium approaches (e.g., the single-phase model or the two-phase mixture model) for the description of the problem.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2019 

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References

1. Kherbeet, A. Sh., Mohammed, H. A. and Salman, B. H., “The Effect of Nanofluids Flow on Mixed Convection Heat Transfer over Microscale Backward-Facing Step,” International Journal of Heat and Mass Transfer, 55, pp. 58705881 (2012).Google Scholar
2. Maxwell, J. C., A Treatise on Electricity and Magnetism, Clarendon Press, Oxford (1873).Google Scholar
3. Choi, S. U. S. and Eastman, J. A., “Enhancing Thermal Conductivity of Fluids with Nanoparticles,” ASME International Mechanical Engineering Congress and Exposition, San Francisco, CA (1995).Google Scholar
4. Togun, H. et al., “Numerical Simulation of Laminar to Turbulent Nanofluid Flow and Heat Transfer over a Backward-Facing Step,” Applied Mathematics and Computation, 239, pp. 153170 (2014).Google Scholar
5. Mohammed, H. A., Alawi, O. A. and Wahid, M. A., “Mixed Convective Nanofluids Flow in a Channel Having Backward-Facing Step with a Baffle,” Powder Technology, 275, pp. 329343 (2015).Google Scholar
6. Selimefendigil, F. and Oztop, H. F., “Influence of Inclination Angle of Magnetic Field on Mixed Convection of Nanofluid Flow over a Backward Facing Step and Entropy Generation,” Advanced Powder Technology, 26, pp. 16631675 (2015).Google Scholar
7. Kherbeet, A. Sh. et al., “Experimental Study of Nanofluid Flow and Heat Transfer over Microscale Backward- and Forward-Facing Steps,” Experimental Thermal and Fluid Science, 65, pp. 1321 (2015).Google Scholar
8. Abu-Nada, E., Al-Sarkhi, A., Akash, B. and Al-Hinti, I., “Heat Transfer and Fluid Flow Characteristics of Separated Flows Encountered in a Backward-Facing Step under the Effect of Suction and Blowing,” Journal of Heat Transfer, 129, pp. 15171528 (2007).Google Scholar
9. Uruba, V., Jonasm, P. and Mazur, O., “Control of a Channel-Flow behind a Backward-Facing Step by Suction/Blowing,” International Journal of Heat and Fluid Flow, 28, pp. 665672 (2007).Google Scholar
10. Zaki, M. M., Nirdosh, I. and Sedahmed, G. H., “Mass Transfer Behavior of Annular Ducts under Conditions with Superimposed Pulsating Flow,” Chemical Engineering & Technology, 34, pp. 475481 (2011).Google Scholar
11. Rahgoshay, M., Ranjbar, A. A. and Ramiar, A., “Laminar Pulsating Flow of Nanofluids in a Circular Tube with Isothermal Wall,” International Communications in Heat and Mass Transfer, 39, pp. 463469 (2012).Google Scholar
12. Akdag, U., Akcay, S. and Demiral, D., “Heat Transfer Enhancement with Laminar Pulsating Nanofluid Flow in a Wavy Channel,” International Communications in Heat and Mass Transfer, 59, pp. 1723 (2014).Google Scholar
13. Khanafer, K., Al-Azmi, B., Al-Shammari, A. and Pop, I., “Mixed Convection Analysis of Laminar Pulsating Flow and Heat Transfer over a Backward-Facing Step,” International Journal of Heat and Mass Transfer, 51, pp. 57855793 (2008).Google Scholar
14. Terhaar, S., Velazquez, A., Arias, J. R. and Sanchez-Sanz, M., “Experimental Study on the Unsteady Laminar Heat Transfer Downstream of a Backwards Facing Step,” International Communications in Heat and Mass Transfer, 37, pp. 457462 (2010).Google Scholar
15. Selimefendigil, F. and Oztop, H. F., “Control of Laminar Pulsating Flow and Heat Transfer in Backward Facing Step by Using a Square Obstacle,” Journal of Heat Transfer, 136, pp. 81–11 (2014).Google Scholar
16. Torshizi, E. and Zahmatkesh, I., “Eulerian-Eulerian Description of Water Flow in a Backward-Facing Step with Nanofluid Blowing,” Amirkabir Journal of Science & Research, 48, pp. 93104 (2016).Google Scholar
17. Kalteh, M., Abbassi, A., Saffar-Avval, M. and Harting, J., “Eulerian-Eulerian Two-Phase Numerical Simulation of Nanofluid Laminar Forced Convection in a Microchannel,” International Journal of Heat and Fluid Flow, 32, pp. 107116 (2011).Google Scholar
18. Kalteh, M. et al., “Experimental and Numerical Investigation of Nanofluid Forced Convection inside a Wide Microchannel Heat Sink,” Applied Thermal Engineering, 36, pp. 260268 (2012).Google Scholar
19. Beg, O. A., Rashidi, M. M., Akbari, M. and Hosseini, A., “Comparative Numerical Study of Single-Phase and Two-Phase Models for Bio-Nanofluid Transport Phenomena,” Journal of Mechanics in Medicine and Biology, 14, pp. 131 (2014).Google Scholar
20. Moraveji, M. K. and Ardehali, R. M., “CFD Modeling (Comparing Single and Two-Phase Approaches) on Thermal Performance of Al 2O 3/Water Nanofluid in Mini-Channel Heat Sink,” International Communications in Heat and Mass Transfer, 44, pp. 157164 (2013).Google Scholar
21. Akbari, M., Galanis, N. and Behzadmehr, A., “Comparative Analysis of Single and Two-Phase Models for CFD Studies of Nanofluid Heat Transfer,” International Journal of Thermal Sciences, 50, pp. 13431354 (2011).Google Scholar
22. Rashidi, M. M., Hosseini, A., Pop, I., Kumar, S. and Freidoonimehr, N., “Comparative Numerical Study of Single and Two-Phase Models of Nanofluid Heat Transfer in Wavy Channel,” Applied Mathematics and Mechanics-English Edition, 35, pp. 783848 (2014).Google Scholar
23. Goktepe, S., Atalık, K. and Erturk, H., “Comparison of Single and Two-Phase Models for Nanofluid Convection at the Entrance of a Uniformly Heated Tube,” International Journal of Thermal Sciences, 80, pp. 8392 (2014).Google Scholar
24. Behroyan, I., Vanaki, Sh. M., Ganesan, P. and Saidur, R., “A Comprehensive Comparison of Various CFD Models for Convective Heat Transfer of Al 2O 3 Nanofluid inside a Heated Tube,” International Communications in Heat and Mass Transfer, 70, pp. 2737 (2016).Google Scholar
25. Torshizi, E. and Zahmatkesh, I., “Comparison between Single-Phase, Two-Phase Mixture and Eulerian-Eulerian Models for the Simulation of Jet Impingement of Nanofluids,” Journal of Applied and Computational Sciences in Mechanics, 27, pp. 5570 (2016).Google Scholar
26. Sidik, N. A. C., Yazid, M. N. A. W. M., Samion, S., Musa, M. N. and Mamat, R., “Latest Development on Computational Approaches for Nanofluid Flow Modeling: Navier-Stokes Based Multiphase Models,” International Communications in Heat and Mass Transfer, 74, pp. 114124 (2016).Google Scholar
27. Akilu, S., Sharma, K. V., Baheta, A. T. and Mamat, R., “A Review of Thermophysical Properties of Water Based Composite Nanofluids,” Renewable and Sustainable Energy Reviews, 66, pp. 654678 (2016).Google Scholar
28. Zahmatkesh, I., “On the Suitability of the Volume-Averaging Approximation for the Description of Thermal Expansion Coefficient of Nanofluids,” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 229, pp. 28352841 (2015).Google Scholar
29. Syamlal, M. and Gidaspow, D., “Heat Hydrodynamics of Fluidization: Prediction of Wall to Bed Heat Transfer Coefficients,” AIChE Journal, 31, pp. 127135 (1985).Google Scholar
30. Drew, D. A. and Lahey, R. T., “Analytical Modeling of Multiphase Flow,” Particulate Two-Phase Flow, Butterworth–Heinemann, Boston (1993).Google Scholar
31. Bouillard, J. X., Lyczkowski, R. W. and Gidaspow, D., “Porosity Distributions in a Fluidized Bed with an Immersed Obstacle,” AIChE Journal, 35, pp. 908922 (1989).Google Scholar
32. Wakao, N. and Kaguei, S., Heat and Mass Transfer in Packed Beds, Gordon and Breach, New York (1982).Google Scholar
33. Kuipers, J. A. M., Prins, W. and Van Swaaij, W. P. M., “Numerical Calculation of Wall-to-Bed Heat-Transfer Coefficients in Gas-Fluidized Beds,” AIChE Journal, 38, pp. 10791091 (1992).Google Scholar
34. Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere McGraw-Hill, Washington DC (1980).Google Scholar
35. Vasquez, S. A. and Ivanov, V. A., “A Phase Coupled Method for Solving Multiphase Problems on Unstructured Meshes,” Proceedings of the ASME Fluids Engineering Division Summer Meeting, Boston, Massachusetts (2000).Google Scholar
36. Zaraki, A., Ghalambaz, M., Chamkha, A. J., Ghalambaz, M. and Rossi, D. D., “Theoretical Analysis of Natural Convection Boundary Layer Heat and Mass Transfer of Nanofluids: Effects of Size, Shape and Type of Nanoparticles, Type of Base Fluid and Working Temperature,” Advanced Powder Technology, 26, pp. 935946 (2015).Google Scholar
37. Qi, C., Wang, G., Yang, L., Wan, Y. and Rao, Z., “Two-Phase Lattice Boltzmann Simulation of the Effects of Base Fluid and Nanoparticle Size on Natural Convection Heat Transfer of Nanofluid,” International Journal of Heat and Mass Transfer, 105, pp. 664672 (2017).Google Scholar