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Numerical Simulation of Unsteady Flow toward a Stretching/Shrinking Sheet in Porous Medium Filled with a Hybrid Nanofluid | ||
| Journal of Applied and Computational Mechanics | ||
| مقاله 2، دوره 8، شماره 1، فروردین 2022، صفحه 11-20 اصل مقاله (860.75 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22055/jacm.2019.29407.1595 | ||
| نویسندگان | ||
| Saeed Dinarvand* 1؛ Mohammad Yousefi1؛ Ali. J Chamkha2 | ||
| 1Department of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, Iran | ||
| 2Faculty of Engineering, Kuwait College of Science and Technology, Doha, Kuwait | ||
| چکیده | ||
| The purpose of this study is to present simulation and numerical solutions to the unsteady flow and heat transfer near stagnation point over a stretching/shrinking sheet in porous medium filled with a hybrid nanofluid. Water (base fluid), nanoparticles of titania and copper were considered as a hybrid nanofluid. It is worth mentioning that evaluating the heat transfer enhancement due to the use of hybrid nanofluids has recently become the center of interest for many researchers. The coupled non-linear boundary-layer equations governing the flow and heat transfer are derived and reduced to a set of coupled non-dimensional equations using the appropriate transformations and then solved numerically as a nonlinear boundary value problem by bvp4c scheme from MATLAB. To validate the modeling of hybrid nanofluid and also numerical procedure, the value of the skin friction and the heat transfer rate for the limited cases of pure water, titania/water and copper/water is obtained and compared with previously reported results that demonstrate an excellent agreement. In the present investigation, the thermal characteristics of hybrid nanofluid are found to be higher in comparison to the base fluid and fluid containing single nanoparticles, respectively. It can be concluded that both skin friction coefficient and local Nusselt number enhance almost linearly with increasing the copper nanoparticle volume fraction (as second nanoparticle). Besides, the porosity and the magnetic effect amplify heat transfer rate, while the unsteadiness parameter has a reducing effect on heat transfer rate in problem conditions. | ||
| کلیدواژه‌ها | ||
| Porous media؛ Magnetic؛ Hybrid nanofluid؛ Two-dimensional stagnation point؛ Analytic model of hybridity | ||
| مراجع | ||
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[1] Kuznetsov GV, Sheremet MA. New approach to the mathematical modeling of thermal regimes for electronic equipment. Russ Microelectron. 37(2), 2008, 131–8.
[2] Kuznetsov GV, Sheremet MA. On the possibility of controlling thermal conditions of a typical element of electronic equipment with a local heat source via natural convection. Russ Microelectron. 39(6), 2010, 427–42.
[3] Choi SUS, Eastman JA. Enhancing thermal conductivity of fluids with nanoparticles, The Proceeding of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA, ASME, FED 231/MD. 66, 1995, 99–105.
[4] Ding Y, Chen H, Wang L, Yang C-Y, He Y, Yang W, et al. Heat transfer intensification using nanofluids. KONA Powder Part J. 25, 2007, 23–38.
[5] Dinarvand S. Nodal/saddle stagnation-point boundary layer flow of CuO–Ag/water hybrid nanofluid: a novel hybridity model. Microsyst Technol. 25, 2019, 2609-2623.
[6] Usman M, Soomro FA, Haq RU, Wang W, Defterli O. Thermal and velocity slip effects on Casson nanofluid flow over an inclined permeable stretching cylinder via collocation method. Int J Heat Mass Transf. 122, 2018, 1255–63.
[7] Usman M, Haq RU, Hamid M, Wang W. Least square study of heat transfer of water based Cu and Ag nanoparticles along a converging/diverging channel. J Mol Liq. 249, 2018, 856–67.
[8] Usman M, Hamid M, Haq RU, Wang W. Heat and fluid flow of water and ethylene-glycol based Cu-nanoparticles between two parallel squeezing porous disks: LSGM approach. Int J Heat Mass Transf. 123, 2018, 888–95.
[9] Hamid M, Usman M, Zubair T, Haq RU, Wang W. Shape effects of MoS 2 nanoparticles on rotating flow of nanofluid along a stretching surface with variable thermal conductivity: A Galerkin approach. Int J Heat Mass Transf. 124, 2018, 706–14.
[10] Shenoy A, Sheremet M, Pop I. Convective flow and heat transfer from wavy surfaces: viscous fluids, porous media, and nanofluids. CRC Press; 2016.
[11] Das SK, Choi SU, Yu W, Pradeep T. Nanofluids: science and technology. John Wiley & Sons; , 2007.
[12] Schaefer H-E. Nanoscience: the science of the small in physics, engineering, chemistry, biology and medicine. Springer Science & Business Media; 2010.
[13] Rao Y. Nanofluids: stability, phase diagram, rheology and applications. Particuology. 8(6), 2010, 549–55.
[14] Dinarvand S, Rostami MN. An innovative mass-based model of aqueous zinc oxide–gold hybrid nanofluid for von Kármán’s swirling flow. J Therm Anal Calorim. (2019) 1–11.
[15] Kleinstreuer C. Microfluidics and nanofluidics: theory and selected applications. John Wiley & Sons; , 2013.
[16] Yousefi M, Dinarvand S, Eftekhari Yazdi M, Pop I. Stagnation-point flow of an aqueous titania-copper hybrid nanofluid toward a wavy cylinder. Int J Numer Methods Heat Fluid Flow. 28(7), 2018, 1716–35.
[17] Sarkar J, Ghosh P, Adil A. A review on hybrid nanofluids: recent research, development and applications. Renew Sustain Energy Rev. 43, 2015, 164–77.
[18] Brust M, Walker M, Bethell D, Schiffrin DJ, Whyman R. Synthesis of thiol-derivatised gold nanoparticles in a two-phase liquid–liquid system. J Chem Soc Chem Commun. 7, 1994, 801–2.
[19] Chengara A, Nikolov AD, Wasan DT, Trokhymchuk A, Henderson D. Spreading of nanofluids driven by the structural disjoining pressure gradient. J Colloid Interface Sci. 280(1), 2004, 192–201.
[20] C.K Chen, Cho CC. Electrokinetically-driven flow mixing in microchannels with wavy surface. J Colloid Interface Sci. 312(2), 2007, 470–80.
[21] Rostami MN, Dinarvand S, Pop I. Dual solutions for mixed convective stagnation-point flow of an aqueous silica–alumina hybrid nanofluid. Chinese J Phys. 56(5), 2018, 2465–78.
[22] Bahiraei M, Materials MH-J of M and M, 2015 U. Flow and heat transfer characteristics of magnetic nanofluids: a review. J Magn Magn Mater. 374, 2015, 125–38.
[23] Khanafer K, Vafai K, Lightstone M. Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. Int J Heat Mass Transf. 46, 2003, 3639–53.
[24] Tiwari RK, Das MK. Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int J Heat Mass Transf. 50(9–10), 2007, 2002–18.
[25] Bondareva NS, Sheremet MA, Pop I. Magnetic field effect on the unsteady natural convection in a right-angle trapezoidal cavity filled with a nanofluid: Buongiorno’s mathematical model. Int J Numer Methods Heat Fluid Flow. 25(8), 2015, 1924–46.
[26] Haq RU, Soomro FA, Mekkaoui T, Al-Mdallal QM. MHD natural convection flow enclosure in a corrugated cavity filled with a porous medium. Int J Heat Mass Transf. 121, 2018, 1168–78.
[27] Grosan T, Pop I. Forced convection boundary layer flow past nonisothermal thin needles in nanofluids. J Heat Transfer. 133, 2011, 054503.
[28] Kleinstreuer C, Li J, Koo J. Microfluidics of nano-drug delivery. Int J Heat Mass Transf. 51(23–24), 2008, 5590–7.
[29] Buongiorno J. Convective transport in nanofluids. J Heat Transfer. 128(3), 2006, 240–50.
[30] Celli M. Non-homogeneous model for a side heated square cavity filled with a nanofluid. Int J Heat Fluid Flow. 44, 2013, 327–35.
[31] Sheikholeslami M, Bandpy MG, Ellahi R, Zeeshan A. Simulation of MHD CuO–water nanofluid flow and convective heat transfer considering Lorentz forces. J Magn Magn Mater. 369, 2014, 69–80.
[32] Mehrez Z, El Cafsi A, Belghith A, Le Quéré P. MHD effects on heat transfer and entropy generation of nanofluid flow in an open cavity. J Magn Magn Mater. 374, 2015, 214–24.
[33] Elshehabey HM, Ahmed SE. MHD mixed convection in a lid-driven cavity filled by a nanofluid with sinusoidal temperature distribution on the both vertical walls using Buongiorno’s nanofluid model. Int J Heat Mass Transf. 88, 2015, 181–202.
[34] Aghamajidi M, Yazdi M, Dinarvand S, Pop I. Tiwari-Das nanofluid model for magnetohydrodynamics (MHD) natural-convective flow of a nanofluid adjacent to a spinning down-pointing vertical cone. Propuls Power Res. 7(1), 2018, 78–90.
[35] Dinarvand S, Hosseini R, Pop I. Axisymmetric mixed convective stagnation-point flow of a nanofluid over a vertical permeable cylinder by Tiwari-Das nanofluid model. Powder Technol. 311, 2017, 147–56.
[36] Dinarvand S, Pop I. Free-convective flow of copper/water nanofluid about a rotating down-pointing cone using Tiwari-Das nanofluid scheme. Adv Powder Technol. 28(3), 2017, 900–9.
[37] Tamim H, Dinarvand S, Hosseini R, Rahimi H, Pop I. Steady laminar mixed convection stagnation-point flow of a nanofluid over a vertical permeable surface in the presence of a magnetic field. J Appl Mech Tech Phys. 57(6), 2016 Nov 9, 1031–41.
[38] Misirlioglu A, Baytas AC, Pop I. Free convection in a wavy cavity filled with a porous medium. Int J Heat Mass Transf. 48(9), 2005, 1840–50.
[39] Esfe MH, Yan W-M, Akbari M, Karimipour A, Hassani M. Experimental study on thermal conductivity of DWCNT-ZnO/water-EG nanofluids. Int Commun Heat Mass Transf. 68, 2015, 248–51.
[40] Babu JAR, Kumar KK, Rao SS. State-of-art review on hybrid nanofluids. Renew Sustain Energy Rev. 77, 2017, 551–65.
[41] Esfe MH, Afrand M, Yan W-M, Yarmand H, Toghraie D, Dahari M. Effects of temperature and concentration on rheological behavior of MWCNTs/SiO2 (20–80)-SAE40 hybrid nano-lubricant. Int Commun Heat Mass Transf. 76, 2016, 133–8.
[42] Usman M, Hamid M, Zubair T, Haq RU, Wang W. Cu-Al2O3/Water hybrid nanofluid through a permeable surface in the presence of nonlinear radiation and variable thermal conductivity via LSM. Int J Heat Mass Transf. 126, 2018, 1347–56.
[43] Abbasi SM, Rashidi A, Nemati A, Arzani K. The effect of functionalisation method on the stability and the thermal conductivity of nanofluid hybrids of carbon nanotubes/gamma alumina. Ceram Int. 39(4), 2013, 3885–91.
[44] Esfe MH, Arani AAA, Rezaie M, Yan W-M, Karimipour A. Experimental determination of thermal conductivity and dynamic viscosity of Ag–MgO/water hybrid nanofluid. Int Commun Heat Mass Transf. 66, 2015, 189–95.
[45] Esfe MH, Wongwises S, Naderi A, Asadi A, Safaei MR, Rostamian H, et al. Thermal conductivity of Cu/TiO2–water/EG hybrid nanofluid: experimental data and modeling using artificial neural network and correlation. Int Commun Heat Mass Transf. 66, 2015, 100–4.
[46] STOKES GG. Mathematical and physical papers. Cambridge Cambridge Univ Press. 1, 1880.
[47] Hiemenz K. Die Grenzschicht an einem in den gleichformigen Flussigkeitsstrom eingetauchten geraden Kreiszylinder. Dingler’s Ploytech. 321, 1911, 326.
[48] Tiwari RK, Das MK. Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int J Heat Mass Transf. 50(9–10), 2007, 2002–18.
[49] Oztop HF, Abu-Nada E. Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int J Heat Fluid Flow. 29(5), 2008, 1326–36.
[50] Brinkman HC. The viscosity of concentrated suspensions and solutions. J Chem Phys. 20(4), 1952, 571.
[51] Wasp EJ, Kenny JP, Gandhi RL. Solid--liquid flow: slurry pipeline transportation.[Pumps, valves, mechanical equipment, economics]. Ser Bulk Mater Handl; United States, 1(4), 1977.
[52] Maxwell JC. A Treatise on electricity and magnetism, second ed. Oxford Univ Press Cambridge. , 1904, 435–41.
[53] Hayat T, Nadeem S. Heat transfer enhancement with Ag–CuO/water hybrid nanofluid. Results Phys. 7, 2017, 2317–24.
[54] Khalili S, Dinarvand S, Hosseini R, Tamim H, Pop I. Unsteady MHD flow and heat transfer near stagnation point over a stretching/shrinking sheet in porous medium filled with a nanofluid. Chinese Phys B. 23(4), 2014, 48203.
[55] Suali M, Long N, Ishak A. Unsteady stagnation point flow and heat transfer over a stretching/shrinking sheet with prescribed surface heat flux. Appl Math Comput Intell. 1(1), 2012, 1–11.
[56] Wang CY. Stagnation flow towards a shrinking sheet. Int J Non Linear Mech. 43(5), 2008, 377–82.
[57] Bachok N, Ishak A, Pop I. The boundary layers of an unsteady stagnation-point flow in a nanofluid. Int J Heat Mass Transf. 55(23–24), 2012, 6499–505.
[58] Nayak AK, Singh RK, Kulkarni PP. Measurement of volumetric thermal expansion coefficient of various nanofluids. Tech Phys Lett. 36(8), 2010, 696–8.
[59] Kamyar A, Saidur R, Hasanuzzaman M. Application of computational fluid dynamics (CFD) for nanofluids. Int J Heat Mass Transf. 55(15–16), 2012, 4104–15. | ||
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