Free convection enhancement in an annulus between horizontal confocal elliptical cylinders using hybrid nanofluids

References

• S. Chol, Enhancing Thermal Conductivity of Fluids with Nanoparticles, ASME-Publ.-Fed, vol. 231, pp. 99–106, 1995.
   Google Scholar
• T. Tayebi, M. Djezzar, and K. Saadaoui, Effect of Sinusoidal Thermal Boundary Condition on Natural Convection in a Cavity Filled with Cu-Water Nanofluid, J. Nanofluids, vol. 2, pp. 120–126, 2013.
   Google Scholar
• T. Tayebi and M. Djezzar, Numerical Study of Natural Convection Flow in a Square Cavity with Linearly Heating on Bottom Wall Using Copper-Water Nanofluid, J. Nanofluids, vol. 4, pp. 38–49, 2015.
   Web of Science ®Google Scholar
• M. Mansour, M. Bakeir, and A. Chamkha, Numerical Modeling of Natural Convection of a Nanofluid Between Two Enclosures, J. Nanofluids, vol. 3, pp. 368–379, 2014.
   Google Scholar
• E. Abu-Nada and A. J. Chamkha, Effect of Nanofluid Variable Properties on Natural Convection In Enclosures Filled with a CuO–EG–water Nanofluid, Int. J. Therm. Sci., vol. 49, pp. 2339–2352, 2010.
   Web of Science ®Google Scholar
• E. Abu-Nada and A. J. Chamkha, Mixed Convection Flow in a Lid-Driven Inclined Square Enclosure Filled with a Nanofluid, Eur. J. Mech.-B/Fluids, vol. 29, pp. 472–482, 2010.
   Web of Science ®Google Scholar
• T. Basak and A. J. Chamkha, Heatline Analysis on Natural convection for Nanofluids Confined Within Square Cavities with Various Thermal Boundary Conditions, Int. J. Heat Mass Transfer, vol. 55, pp. 5526–5543, 2012.
   Web of Science ®Google Scholar
• A. A. J. Chamkha and E. Abu-Nada, Mixed Convection Flow in Single-and Double-lid Driven Square Cavities Filled with Water–Al2O3 Nanofluid: Effect of Viscosity Models, Eur. J. Mech.-B/Fluids, vol. 36, pp. 82–96, 2012.
   Web of Science ®Google Scholar
• A. J. Chamkha and M. A. Ismael, Conjugate Heat Transfer in a Porous Cavity Filled with Nanofluids and Heated by a Triangular Thick Wall, Int. J. Therm. Sci., vol. 67, pp. 135–151, 2013.
   Web of Science ®Google Scholar
• S. Suresh, K. Venkitaraj, P. Selvakumar, and M. Chandrasekar, Synthesis of Al2O3–Cu/water Hybrid Nanofluids Using Two Step Method and Its Thermo Physical Properties, Colloids Surf., A, vol. 388, pp. 41–48, 2011.
   Web of Science ®Google Scholar
• P. Jena, E. Brocchi, and M. Motta, In-Situ Formation of Cu–Al2O3 Nano-Scale Composites by Chemical Routes and Studies on Their Microstructures, Mater. Sci. Eng., A, vol. 313, pp. 180–186, 2001.
   Web of Science ®Google Scholar
• M. J. Nine, M. Batmunkh, J.-H. Kim, H.-S. Chung, and H.-M. Jeong, Investigation of Al2O3-MWCNTs Hybrid Dispersion in Water and Their Thermal Characterization, J. Nanosci. Nanotechnol., vol. 12, pp. 4553–4559, 2012.
   PubMed Web of Science ®Google Scholar
• M. J. Nine, B. Munkhbayar, M. S. Rahman, H. Chung, and H. Jeong, Highly Productive Synthesis Process of Well Dispersed Cu2O and Cu/Cu2O Nanoparticles and its Thermal Characterization, Mater. Chem. Phys., vol. 141, pp. 636–642, 2013.
   Web of Science ®Google Scholar
• T. T. Baby and R. Sundara, Synthesis and Transport Properties of Metal Oxide Decorated Graphene Dispersed Nanofluids, J. Phys. Chem. C, vol. 115, pp. 8527–8533, 2011.
   Web of Science ®Google Scholar
• J. Sarkar, P. Ghosh, and A. Adil, A Review on Hybrid Nanofluids: Recent Research, Development and Applications, Renew. Sustain. Energy Rev., vol. 43, pp. 164–177, 2015.
   Web of Science ®Google Scholar
• T. Takabi and S. Salehi, Augmentation of the Heat Transfer Performance of a Sinusoidal Corrugated Enclosure by Employing Hybrid Nanofluid, Adv. Mech. Eng., vol. 6, p. 147059, 2014.
   Web of Science ®Google Scholar
• B. Takabi, A. M. Gheitaghy, and P. Tazraei, Hybrid Water-Based Suspension of Al2O3 and Cu Nanoparticles on Laminar Convection Effectiveness, J. Thermophys. Heat Transfer, vol. 30, no. 3, pp. 523–532, 2016.
   Web of Science ®Google Scholar
• R. Nasrin and M. Alim, Finite Element Simulation of Forced Convection in a Flat Plate Solar Collector: Influence of Nanofluid with Double Nanoparticles, J. Appl. Fluid Mech., vol. 7, pp. 543–556, 2014.
   Web of Science ®Google Scholar
• S. S. U. Devi and S. A. Devi, Numerical Investigation of Three-Dimensional Hybrid Cu–Al2O3/water Nanofluid Flow over a Stretching Sheet with Effecting Lorentz Force Subject to Newtonian Heating, Can. J. Phys., vol. 94, pp. 490–496, 2016.
   Web of Science ®Google Scholar
• H. Togun, T. Abdulrazzaq, S. Kazi, A. Badarudin, A. Kadhum, and E. Sadeghinezhad, A Review of Studies on Forced, Natural and Mixed Heat Transfer to Fluid and Nanofluid Flow in an Annular Passage, Renew. Sustainable Energy Rev., vol. 39, pp. 835–856, 2014.
   Web of Science ®Google Scholar
• E. Abu-Nada, Z. Masoud, and A. Hijazi, Natural Convection Heat Transfer Enhancement in Horizontal Concentric Annuli Using Nanofluids, Int. Commun. Heat Mass Transfer, vol. 35, pp. 657–665, 2008.
   Web of Science ®Google Scholar
• R. Nasrin, M. Alim, and A. J. Chamkha, Effect of Viscosity Variation on Natural Convection Flow of Water–Alumina Nanofluid in an Annulus with Internal Heat Generation, Heat Transfer Asian Res., vol. 41, pp. 536–552, 2012.
   Google Scholar
• M. H. Matin and I. Pop, Natural Convection Flow and Heat Transfer in an Eccentric Annulus Filled by Copper Nanofluid, Int. J. Heat Mass Transfer, vol. 61, pp. 353–364, 2013.
   Web of Science ®Google Scholar
• A. A. Mehrizi, M. Farhadi, and S. Shayamehr, Natural Convection Flow of Cu–Water Nanofluid in Horizontal Cylindrical Annuli with Inner Triangular Cylinder Using Lattice Boltzmann Method, Int. Commun. Heat Mass Transfer, vol. 44, pp. 147–156, 2013.
   Web of Science ®Google Scholar
• M. Izadi, M. Shahmardan, and A. Behzadmehr, Richardson Number Ratio Effect on Laminar Mixed Convection of a Nanofluid Flow in an Annulus, Int. J. Comput. Methods Eng. Sci. Mech., vol. 14, pp. 304–316, 2013.
   Google Scholar
• M. Sheikholeslami, M. Gorji-Bandpy, and D. Ganji, MHD Free Convection in an Eccentric Semi-Annulus filled with Nanofluid, J. Taiwan Inst. Chem. Eng., vol. 45, pp. 1204–1216, 2014.
   Web of Science ®Google Scholar
• M. H. Matin and I. Pop, Numerical Study of Mixed Convection Heat Transfer of a Nanofluid in an Eccentric Annulus, Numer. Heat Transfer, Part A, vol. 65, pp. 84–105, 2014.
   Web of Science ®Google Scholar
• S. Seyyedi, M. Dayyan, S. Soleimani, and E. Ghasemi, Natural Convection Heat Transfer Under Constant Heat Flux Wall in a Nanofluid Filled Annulus Enclosure, Ain Shams Eng. J., vol. 6, pp. 267–280, 2015.
   Web of Science ®Google Scholar
• M. Arbaban and M. Salimpour, Enhancement of Laminar Natural Convective Heat Transfer in Concentric Annuli with Radial Fins using Nanofluids, Heat Mass Transfer, vol. 51, pp. 353–362, 2015.
   Web of Science ®Google Scholar
• R. Mokhtari Moghari, F. Talebi, R. Rafee, and M. Shariat, Numerical Study of Pressure Drop and Thermal Characteristics of Al2O3–Water Nanofluid Flow in Horizontal Annuli, Heat Transfer Eng., vol. 36, pp. 166–177, 2015.
   Web of Science ®Google Scholar
• J. H. Lee and T. S. Lee, Natural Convection in the Annuli Between Horizontal Confocal Elliptic Cylinders, Int. J. Heat Mass Transfer, vol. 24, pp. 1739–1742, 1981.
   Web of Science ®Google Scholar
• W. C. Schreiber and S. N. Singh, Natural Convection Between Confocal Horizontal Elliptical Cylinders, Int. J. Heat Mass Transfer, vol. 28, pp. 807–822, 1985.
   Web of Science ®Google Scholar
• M. Elshamy, M. Ozisik, and J. Coulter, Correlation for Laminar Natural Convection Between Confocal Horizontal Elliptical Cylinders, Numerical Heat Transfer, vol. 18, pp. 95–112, 1990.
   Web of Science ®Google Scholar
• C.-H. Chengm and C.-C. Chao, Numerical Prediction of the Buoyancy-Driven Flow in the Annulus between Horizontal Eccentric Elliptical Cylinders, Numer. Heat Transfer, Part A Appl., vol. 30, pp. 283–303, 1996.
   Web of Science ®Google Scholar
• J. Mota, I. Esteves, C. Portugal, J. Esperança, and E. Saatdjian, Natural Convection Heat Transfer in Horizontal Eccentric Elliptic Annuli Containing Saturated Porous Media, Int. J. Heat mass Transfer, vol. 43, pp. 4367–4379, 2000.
   Web of Science ®Google Scholar
• K. Hirose, T. Hachinohe, and Y. Ishii, Natural Convection Heat Transfer in Eccentric Horizontal Annuli Between a Heated Outer Tube and a Cooled Inner Tube with Different Orientation: The Case of an Elliptical Outer Tube, Heat Transfer Asian Res., vol. 30, pp. 624–635, 2001.
   Google Scholar
• Y. Zhu, C. Shu, J. Qiu, and J. Tani, Numerical Simulation of Natural Convection Between Two Elliptical Cylinders Using DQ Method, Int. J. Heat Mass Transfer, vol. 47, pp. 797–808, 2004.
   Web of Science ®Google Scholar
• K. Zerari, M. Afrid, and D. Groulx, Forced and Mixed Convection in the Annulus between Two Horizontal Confocal Elliptical Cylinders, Int. J. Therm. Sci., vol. 74, pp. 126–144, 2013.
   Web of Science ®Google Scholar
• A. Bouras, M. Djezzar, H. Naji, and C. Ghernoug, Numerical Computation of Double-Diffusive Natural Convective Flow within an Elliptic Shape Enclosure, Int. Commun. Heat Mass Transfer, vol. 57, pp. 183–192, 10, 2014.
   Web of Science ®Google Scholar
• M. Izadi, A. Behzadmehr, and D. Jalali-Vahida, Numerical Study of Developing Laminar Forced Convection of a Nanofluid in an Annulus, Int. J. Therm. Sci., vol. 48, pp. 2119–2129, 2009.
   Web of Science ®Google Scholar
• H. Dawood, H. Mohammed, and K. Munisamy, Heat Transfer Augmentation Using Nanofluids in an Elliptic Annulus with Constant Heat Flux Boundary Condition, Case Stud. Therm. Eng., vol. 4, pp. 32–41, 2014.
   Google Scholar
• P. Moon, and D.E. Spencer, Field Theory Handbook, Springer-Verlag, New York, NY, 1971.
   Google Scholar
• S. Patankar, Numerical Heat Transfer and Fluid Flow, CRC Press, New York, NY, 1980.
   Google Scholar
• E. F. Nogotov, Applications of Numerical Heat Transfer, NASA STI/Recon Tech Rep. A, vol. 79, p. 14672, 1978.
   Google Scholar
• H. Brinkman, The Viscosity of Concentrated Suspensions and Solutions, J. Chem. Phys., vol. 20, pp. 571–571, 1952.
   Web of Science ®Google Scholar
• J. C. Maxwell, >A Treatise on Electricity and Magnetism. Vol. 1. Clarendon Press, Oxford, UK, 1881.
   Google Scholar