THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

IMPROVED INCOMPRESSIBLE SPH METHOD FOR NATURAL-CONVECTION FROM HEATED T-OPEN PIPE OF AL2O3-WATER NANOFLUID IN A CAVITY: BUONGIORNO’S TWO-PHASE MODEL

ABSTRACT
The unsteady natural-convection of Al2O3-water nanofluid form heated open T-pipe inside a cavity has been investigated by incompressible smoothed particle hydrodynamic (ISPH) method using non-homogenous two-phase Buongiorno’s model. Different lengths and heights of T-pipe shape are considered. The side walls of the cavity are kept at cool temperature Tc and the horizontal walls are thermally insulated. The Lagrangian description of the controlling governing equations is discretized and solved using improved ISPH method. In this study, ISPH method is improved using kernel renormalization function for boundary treatment plus modification in the source term of pressure Poisson equation. The source term of pressure Poisson equation contains the velocity divergence plus density invariance multiply by relaxation coefficient. The calculations are performed for variable lengths of T-open pipe (0.2 ≤ Lb ≤ 0.6), variable widths of T-open pipe (0.02 ≤ Wb ≤ 0.16), (0.02 ≤ Wt ≤ 0.16), and variable concentration of nanoparticles volume fraction (1% ≤ φavg ≤ 10%). The obtained results showed that the maximum values of the stream function are reduced by 80.8% when φavg is increased from 1-10%. Additionally, as lengths and widths of the T-pipe are raised, the average Nusselt numbers at the vertical walls are enhanced.
KEYWORDS
PAPER SUBMITTED: 2020-11-22
PAPER REVISED: 2021-02-18
PAPER ACCEPTED: 2021-02-23
PUBLISHED ONLINE: 2021-04-10
DOI REFERENCE: https://doi.org/10.2298/TSCI201122148A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 1, PAGES [613 - 627]
REFERENCES
  1. M.J. Muhammad, I.A. Muhammad, N.A.C. Sidik, M.N.A.W.M. Yazid, R. Mamat, G. Najafi, The use of nanofluids for enhancing the thermal performance of stationary solar collectors: a review, Renewable and Sustainable Energy Reviews, 63 (2016) 226-236.
  2. H.J. Xu, Z.B. Xing, F. Wang, Z. Cheng, Review on heat conduction, heat convection, thermal radiation and phase change heat transfer of nanofluids in porous media: Fundamentals and applications, Chemical Engineering Science, 195 (2019) 462-483.
  3. O. Mahian, A. Kianifar, S.A. Kalogirou, I. Pop, S. Wongwises, A review of the applications of nanofluids in solar energy, International Journal of Heat and Mass Transfer, 57 (2013) 582-594.
  4. K. Khanafer, K. Vafai, A review on the applications of nanofluids in solar energy field, Renewable Energy, 123 (2018) 398-406.
  5. A. Elsheikh, S. Sharshir, M.E. Mostafa, F. Essa, M.K.A. Ali, Applications of nanofluids in solar energy: a review of recent advances, Renewable and Sustainable Energy Reviews, 82 (2018) 3483-3502.
  6. M.R. Hajmohammadi, Assessment of a lubricant based nanofluid application in a rotary system, Energy Conversion and Management, 146 (2017) 78-86.
  7. S. Rashidi, O. Mahian, E.M. Languri, Applications of nanofluids in condensing and evaporating systems, Journal of Thermal Analysis and Calorimetry, 131 (2018) 2027-2039.
  8. O. Mahian, L. Kolsi, M. Amani, P. Estellé, G. Ahmadi, C. Kleinstreuer, J.S. Marshall, R.A. Taylor, E. Abu-Nada, S. Rashidi, Recent advances in modeling and simulation of nanofluid flows-part II: applications, Physics reports, 791 (2019) 1-59.
  9. S. Rashidi, M. Eskandarian, O. Mahian, S. Poncet, Combination of nanofluid and inserts for heat transfer enhancement, Journal of Thermal Analysis and Calorimetry, 135 (2019) 437-460.
  10. S.M.H. Jayhooni, M.R. Rahimpour, Effect of different types of nanofluids on free convection heat transfer around spherical mini-reactor, Superlattices and Microstructures, 58 (2013) 205-217.
  11. R. Jmai, B. Ben-Beya, T. Lili, Heat transfer and fluid flow of nanofluid-filled enclosure with two partially heated side walls and different nanoparticles, Superlattices and Microstructures, 53 (2013) 130-154.
  12. Ahmed, Sameh E., Zehba AS Raizah, and Abdelraheem M. Aly. "Magnetohydrodynamic convective flow of nanofluid in double lid-driven cavities under slip conditions." Thermal Science 00 (2020): 141-141.
  13. Rashed, Zeinab Z., Sameh E. Ahmed, and Abdelraheem M. Aly. "Heat transfer enhancement in the complex geometries filled with porous media." Thermal Science 00 (2019): 166-166.
  14. Ahmed, S. E., Oztop, H. F., Mansour, M. A., & Abu-Hamdeh, N. (2018). Magnetohydrodynamic mixed thermo-bioconvection in porous cavity filled by oxytactic microorganisms. Thermal Science, 22(6 Part B), 2711-2721.
  15. D. Wen, Y. Ding, Experimental investigation into convective heat transfer of nanofluids at the entrance region under laminar flow conditions, International Journal of Heat and Mass Transfer, 47 (2004) 5181-5188.
  16. Y. He, Y. Men, Y. Zhao, H. Lu, Y. Ding, Numerical investigation into the convective heat transfer of TiO2 nanofluids flowing through a straight tube under the laminar flow conditions, Applied Thermal Engineering, 29 (2009) 1965-1972.
  17. R.M. Moghari, A. Akbarinia, M. Shariat, F. Talebi, R. Laur, Two phase mixed convection Al2O3-water nanofluid flow in an annulus, International Journal of Multiphase Flow, 37 (2011) 585-595.
  18. J. Buongiorno, Convective Transport in Nanofluids, Journal of Heat Transfer, 128 (2005) 240-250.
  19. M. Corcione, M. Cianfrini, A. Quintino, Two-phase mixture modeling of natural convection of nanofluids with temperature-dependent properties, International Journal of Thermal Sciences, 71 (2013) 182-195.
  20. M. Corcione, E. Habib, A. Quintino, A two-phase numerical study of buoyancy-driven convection of alumina-water nanofluids in differentially-heated horizontal annuli, International Journal of Heat and Mass Transfer, 65 (2013) 327-338.
  21. M.Z. Saghir, A. Ahadi, T. Yousefi, B. Farahbakhsh, Two-phase and single phase models of flow of nanofluid in a square cavity: comparison with experimental results, International Journal of Thermal Sciences, 100 (2016) 372-380.
  22. S. Kakaç, A. Pramuanjaroenkij, Single-phase and two-phase treatments of convective heat transfer enhancement with nanofluids - A state-of-the-art review, International Journal of Thermal Sciences, 100 (2016) 75-97.
  23. M. Sheikholeslami, M. Gorji-Bandpy, S. Soleimani, Two phase simulation of nanofluid flow and heat transfer using heatline analysis, International Communications in Heat and Mass Transfer, 47 (2013) 73-81.
  24. F. Garoosi, S. Garoosi, K. Hooman, Numerical simulation of natural convection and mixed convection of the nanofluid in a square cavity using Buongiorno model, Powder Technology, 268 (2014) 279-292.
  25. M.A. Sheremet, I. Pop, M.M. Rahman, Three-dimensional natural convection in a porous enclosure filled with a nanofluid using Buongiorno's mathematical model, International Journal of Heat and Mass Transfer, 82 (2015) 396-405.
  26. M.A. Sheremet, I. Pop, Mixed convection in a lid-driven square cavity filled by a nanofluid: Buongiorno's mathematical model, Applied Mathematics and Computation, 266 (2015) 792-808.
  27. A.S. Dogonchi, D.D. Ganji, Analytical solution and heat transfer of two-phase nanofluid flow between non-parallel walls considering Joule heating effect, PTEC Powder Technology, 318 (2017) 390-400.
  28. A.S. Dogonchi, M.A. Sheremet, D.D. Ganji, I. Pop, Free convection of copper-water nanofluid in a porous gap between hot rectangular cylinder and cold circular cylinder under the effect of inclined magnetic field, J Therm Anal Calorim Journal of Thermal Analysis and Calorimetry : An International Forum for Thermal Studies, 135(2) (2019) 1171-1184.
  29. A.S. Dogonchi, A.J. Chamkha, D.D. Ganji, A numerical investigation of magneto-hydrodynamic natural convection of Cu-water nanofluid in a wavy cavity using CVFEM, Journal of Thermal Analysis and Calorimetry : An International Forum for Thermal Studies, 135(4) (2019) 2599-2611.
  30. K.U. Rehman, M.Y. Malik, W. Al-Kouz, Z. Abdelmalek, Heat transfer individualities due to evenly heated T-Shaped blade rooted in trapezium enclosure: Numerical analysis, Case Studies in Thermal Engineering, 22 (2020) 100778.
  31. G.A. Sheikhzadeh, M. Dastmalchi, H. Khorasanizadeh, Effects of nanoparticles transport mechanisms on Al2O3-water nanofluid natural convection in a square enclosure, International Journal of Thermal Sciences, 66 (2013) 51-62.
  32. S.Y. Motlagh, H. Soltanipour, Natural convection of Al2O3-water nanofluid in an inclined cavity using Buongiorno's two-phase model, International Journal of Thermal Sciences, 111 (2017) 310-320.
  33. S.Y. Motlagh, E. Golab, A.N. Sadr, Two-phase modeling of the free convection of nanofluid inside the inclined porous semi-annulus enclosure, International Journal of Mechanical Sciences, 164 (2019) 105183.
  34. R.A. Gingold, J.J. Monaghan, Smoothed particle hydrodynamics: theory and application to non-spherical stars, Monthly notices of the royal astronomical society, 181 (1977) 375-389.
  35. L.B. Lucy, A numerical approach to the testing of the fission hypothesis, The astronomical journal, 82 (1977) 1013-1024.
  36. J.J. Monaghan, Particle methods for hydrodynamics, Computer Physics Reports, 3 (1985) 71-124.
  37. A.M. Aly, Modeling of multi-phase flows and natural convection in a square cavity using an Incompressible Smoothed Particle Hydrodynamics, international journal of numerical methods for heat & fluid flow, 25 (2015).
  38. R.A. Dalrymple, B. Rogers, Numerical modeling of water waves with the SPH method, Coastal engineering, 53 (2006) 141-147.
  39. X.Y. Hu, N.A. Adams, A multi-phase SPH method for macroscopic and mesoscopic flows, Journal of Computational Physics, 213 (2006) 844-861.
  40. S. Kulasegaram, J. Bonet, R. Lewis, M. Profit, High pressure die casting simulation using a Lagrangian particle method, Communications in numerical methods in engineering, 19 (2003) 679-687.
  41. P.K. Koukouvinis, J.S. Anagnostopoulos, D.E. Papantonis, An improved MUSCL treatment for the SPH‐ALE method: comparison with the standard SPH method for the jet impingement case, International Journal for Numerical Methods in Fluids, 71 (2013) 1152-1177.
  42. M. Ferrand, D.R. Laurence, B.D. Rogers, D. Violeau, C. Kassiotis, Unified semi-analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method, International Journal for Numerical Methods in Fluids, 71 (2013) 446-472.
  43. M. Danis, M. Orhan, A. Ecder, ISPH modelling of transient natural convection, International Journal of Computational Fluid Dynamics, 27 (2013) 15-31.
  44. A.M. Aly, Z. Raizah, Incompressible smoothed particle hydrodynamics (ISPH) method for natural convection in a nanofluid-filled cavity including rotating solid structures, International Journal of Mechanical Sciences, 146 (2018) 125-140.
  45. A.M. Aly, M. Asai, Water entry of decelerating spheres simulations using improved ISPH method, Journal of Hydrodynamics, 30 (2018) 1120-1133.
  46. S.E. Ahmed, A.M. Aly, Natural convection in a nanofluid-filled cavity with solid particles in an inner cross shape using ISPH method, International Journal of Heat and Mass Transfer, Vol. 141, (2019) 390-406.
  47. A.M. Aly, Z.A.S. Raizah, Incompressible smoothed particle hydrodynamics simulation of natural convection in a nanofluid-filled complex wavy porous cavity with inner solid particles, Physica A: Statistical Mechanics and its Applications, 537 (2020) 122623.
  48. Corcione M. Empirical correlating equations for predicting the effective thermal conductivity and dynamic viscosity of nanofluids. Energy Convers Manag 2011;52:789-93.
  49. S. J., Cummins and M. Rudman. An SPH projection method. Journal of computational physics 152.2 (1999): 584-607.
  50. S.J. Lind, R. Xu, P.K. Stansby, B.D. Rogers, Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves, Journal of Computational Physics, 231 (2012) 1499-1523.
  51. A. Skillen, S. Lind, P.K. Stansby, B.D. Rogers, Incompressible smoothed particle hydrodynamics (SPH) with reduced temporal noise and generalised Fickian smoothing applied to body-water slam and efficient wave-body interaction, Computer Methods in Applied Mechanics and Engineering, 265 (2013) 163-173.
  52. M.T. Nguyen, A.M. Aly, S.-W. Lee, Effect of a wavy interface on the natural convection of a nanofluid in a cavity with a partially layered porous medium using the ISPH method, Numerical Heat Transfer, Part A: Applications, 72 (2017) 68-88.
  53. M.T. Nguyen, A.M. Aly, S.-W. Lee, Improved wall boundary conditions in the incompressible smoothed particle hydrodynamics method, International Journal of Numerical Methods for Heat & Fluid Flow, 28 (2018) 704-725.
  54. M.T. Nguyen, A.M. Aly, S.-W. Lee, ISPH modeling of natural convection heat transfer with an analytical kernel renormalization factor, Meccanica, 53 (2018) 2299-2318.

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence