Effect of Buoyancy Force on The Flow and Heat Transfer Around a Thin Needle in Al2O3 – Cu Hybrid Nanofluid
Volume 12, No. 1, January 2020, Pages 22-36
Siti Nur Alwani Salleh1,*, Norfifah Bachok1,2, Norihan Md Arifin1,2, Fadzilah Md Ali1,2
1 Institute for Mathematical Research, Universiti Putra Malaysia, 43400, UPM Serdang, Selangor, Malaysia
2 Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400, UPM Serdang, Selangor, Malaysia
*Corresponding author: firstname.lastname@example.org
Thin needle; Buoyancy force; Hybrid nanofluid; Multiple solutions; Stability analysis
An analysis has been performed to study the effect of buoyancy force in the boundary layer flow past a thin needle in a hybrid nanofluid. In this study, we have taken into consideration a combination of two types of nanoparticles which are alumina and copper in the base fluid. The coupled nonlinear partial differential equations representing momentum and heat equations are reduced into a set of nonlinear ordinary differential equations. The transformed equations are evaluated numerically by adopting the bvp4c method with the help of MATLAB software. Effects of involved controlling physical parameters, namely buoyancy or mixed convection parameter, velocity ratio parameter, solid volume fraction parameters and needle thickness on the skin friction coefficient and heat transfer rate as well as velocity and temperature profiles are indicated through graphs and then discussed. It is revealed that the addition of every 0.2% alumina and copper nanoparticle (?_1 and ?_2) into a base fluid tends to enhance the heat transfer rate for about 18% up to 44%. It is worth knowing that the existence of dual branches of the solution is noted when the flow is opposing (?<0) and when the needle against the free stream direction (?<0).
CITE THIS ARTICLE
Siti Nur Alwani, Salleh, et al. “Effect of Buoyancy Force on The Flow and Heat Transfer Around a Thin Needle in Al2O3 – Cu Hybrid Nanofluid.” CFD Letters 12.1 (2020): 22-36.
Siti Nur Alwani, S., Norfifah, B., Norihan, M. A. & Fadzilah, M. A.(2020). Effect of Buoyancy Force on The Flow and Heat Transfer Around a Thin Needle in Al2O3 – Cu Hybrid Nanofluid. CFD Letters, 12(1), 22-36.
Siti Nur Alwani Salleh, Norfifah Bachok, Norihan Md Arifin and Fadzilah Md Ali.”Effect of Buoyancy Force on The Flow and Heat Transfer Around a Thin Needle in Al2O3 – Cu Hybrid Nanofluid.” CFD Letters. 12, no. 1 (2020): 22-36.
Siti Nur Alwani, S., Norfifah, B., Norihan, M.A., and Fadzilah, M.A., 2020. Effect of Buoyancy Force on The Flow and Heat Transfer Around a Thin Needle in Al2O3 – Cu Hybrid Nanofluid. CFD Letters 12(1), pp. 22-36.
Siti Nur Alwani S, Norfifah B, Norihan MA, Fadzilah MA. Effect of Buoyancy Force on The Flow and Heat Transfer Around a Thin Needle in Al2O3 – Cu Hybrid Nanofluid. CFD Letters. 2020;12(1): 22-36.
REFERENCES Choi, S.U.S. “Enhancing thermal conductivity of fluids with nanoparticles.” In Proceedings of the ASME International Mechanical Engineering Congress and Exposition 231, (1995): 99-105.
 Rana, Puneet, and R. Bhargava. “Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study.” Communications in Nonlinear Science and Numerical Simulation 17, no. 1 (2012): 212-226.
 Bachok, Norfifah, Anuar Ishak, Roslinda Nazar, and Norazak Senu. “Stagnation-point flow over a permeable stretching/shrinking sheet in a copper-water nanofluid.” Boundary Value Problems 2013, no. 1 (2013): 39.
 Salleh, Siti Nur Alwani, Norfifah Bachok, and Norihan Md Arifin. “Rotating Flow Over A Permeable Shrinking Surface in A Nanofluid.” Asian Journal of Mathematics and Computer Research (2016): 290-305.
 Japar, Wan Mohd Arif Aziz, Nor Azwadi Che Sidik, Siti Rahmah Aid, Yutaka Asako, and Tan Lit Ken. “A Comprehensive Review on Numerical and Experimental Study of Nanofluid Performance in Microchannel Heatsink (MCHS).” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 45, no. 1 (2018): 165-176.
 Acharya, Nilankush, Kalidas Das, and Prabir Kumar Kundu. “Influence of multiple slips and chemical reaction on radiative MHD Williamson nanofluid flow in porous medium: A computational framework.” Multidiscipline Modeling in Materials and Structures 15, no. 3 (2019): 630-658.
 Sarkar, Jahar, Pradyumna Ghosh, and Arjumand Adil. “A review on hybrid nanofluids: recent research, development and applications.” Renewable and Sustainable Energy Reviews 43 (2015): 164-177.
 Suresh, S., K. P. Venkitaraj, P. Selvakumar, and M. Chandrasekar. “Synthesis of Al2O3–Cu/water hybrid nanofluids using two step method and its thermo physical properties.” Colloids and Surfaces A: Physicochemical and Engineering Aspects 388, no. 1-3 (2011): 41-48.
 Nine, Md J., B. Munkhbayar, M. Sq Rahman, Hanshik Chung, and Hyomin Jeong. “Highly productive synthesis process of well dispersed Cu2O and Cu/Cu2O nanoparticles and its thermal characterization.” Materials Chemistry and Physics 141, no. 2-3 (2013): 636-642.
 Madhesh, D., R. Parameshwaran, and S. Kalaiselvam. “Experimental investigation on convective heat transfer and rheological characteristics of Cu–TiO2 hybrid nanofluids.” Experimental Thermal and Fluid Science 52 (2014): 104-115.
 Afrand, Masoud, Davood Toghraie, and Nima Sina. “Experimental study on thermal conductivity of water-based Fe3O4 nanofluid: development of a new correlation and modeled by artificial neural network.” International Communications in Heat and Mass Transfer 75 (2016): 262-269.
 Esfe, Mohammad Hemmat, Ali Alirezaie, and Mousa Rejvani. “An applicable study on the thermal conductivity of SWCNT-MgO hybrid nanofluid and price-performance analysis for energy management.” Applied Thermal Engineering 111 (2017): 1202-1210.
 Moghadassi, Abdolreza, Ehsan Ghomi, and Fahime Parvizian. “A numerical study of water based Al2O3 and Al2O3–Cu hybrid nanofluid effect on forced convective heat transfer.” International Journal of Thermal Sciences 92 (2015): 50-57.
 Devi, S. Suriya Uma, and SP Anjali Devi. “Numerical investigation of three-dimensional hybrid Cu–Al2O3/water nanofluid flow over a stretching sheet with effecting Lorentz force subject to Newtonian heating.” Canadian Journal of Physics 94, no. 5 (2016): 490-496.
 Mehryan, Seyed AM, Farshad M. Kashkooli, Mohammad Ghalambaz, and Ali J. Chamkha. “Free convection of hybrid Al2O3-Cu water nanofluid in a differentially heated porous cavity.” Advanced Powder Technology 28, no. 9 (2017): 2295-2305.
 Ashorynejad, Hamid Reza, and Alireza Shahriari. “MHD natural convection of hybrid nanofluid in an open wavy cavity.” Results in Physics 9 (2018): 440-455.
 Mansour, M. A., Sadia Siddiqa, Rama Subba Reddy Gorla, and A. M. Rashad. “Effects of heat source and sink on entropy generation and MHD natural convection of Al2O3-Cu/water hybrid nanofluid filled with square porous cavity.” Thermal Science and Engineering Progress 6 (2018): 57-71.
 Acharya, Nilankush, Suprakash Maity, and Prabir Kumar Kundu. “Influence of inclined magnetic field on the flow of condensed nanomaterial over a slippery surface: the hybrid visualization.” Applied Nanoscience (2019): 1-15.
 Acharya, Nilankush, Raju Bag, and Prabir Kumar Kundu. “Influence of Hall current on radiative nanofluid flow over a spinning disk: a hybrid approach.” Physica E: Low-dimensional Systems and Nanostructures 111 (2019): 103-112.
 Acharya, Nilankush, Suprakash Maity, and Prabir Kumar Kundu. “Framing the hydrothermal features of magnetized TiO2–CoFe2O4 water-based steady hybrid nanofluid flow over a radiative revolving disk.” Multidiscipline Modeling in Materials and Structures (2019): 1-26.
 Waini, Iskandar, Anuar Ishak, and Ioan Pop. “Unsteady flow and heat transfer past a stretching/shrinking sheet in a hybrid nanofluid.” International Journal of Heat and Mass Transfer 136 (2019): 288-297.
 Sheikholeslami, M., S. A. M. Mehryan, Ahmad Shafee, and Mikhail A. Sheremet. “Variable magnetic forces impact on magnetizable hybrid nanofluid heat transfer through a circular cavity.” Journal of Molecular Liquids 277 (2019): 388-396.
 Acharya, Nilankush. “On the flow patterns and thermal behaviour of hybrid nanofluid flow inside a microchannel in presence of radiative solar energy.” Journal of Thermal Analysis and Calorimetry (2019): 1-18.
 Acharya, Nilankush, Kalidas Das, and Prabir Kumar Kundu. “Effects of aggregation kinetics on nanoscale colloidal solution inside a rotating channel.” Journal of Thermal Analysis and Calorimetry (2019): 1-17.
 Acharya, Nilankush, Raju Bag, and Prabir Kumar Kundu. “On the impact of nonlinear thermal radiation on magnetized hybrid condensed nanofluid flow over a permeable texture.” Applied Nanoscience (2019): 1-13.
 Lee, Lawrence L. “Boundary layer over a thin needle.” The physics of fluids 10, no. 4 (1967): 820-822.
 Narain, Jai Prakash, and Mahinder S. Uberoi. “Forced heat transfer over thin needles.” Journal of Heat Transfer 94, no. 2 (1972): 240-242.
 Narain, Jai Prakash, and Mahinder S. Uberoi. “Combined forced and free-convection over thin needles.” International Journal of Heat and Mass Transfer 16, no. 8 (1973): 1505-1512.
 Chen, J. L. S., and T. N. Smith. “Forced convection heat transfer from nonisothermal thin needles.” Journal of Heat Transfer 100, no. 2 (1978): 358-362.
 Ishak, Anuar, Roslinda Nazar, and Ioan Pop. “Boundary layer flow over a continuously moving thin needle in a parallel free stream.” Chinese Physics Letters 24, no. 10 (2007): 2895.
 Ahmad, Syakila, Norihan M. Arifin, Roslinda Nazar, and Ioan Pop. “Mixed convection boundary layer flow along vertical thin needles: Assisting and opposing flows.” International Communications in Heat and Mass Transfer 35, no. 2 (2008): 157-162.
 Afridi, Muhammad Idrees, and Muhammad Qasim. “Entropy generation and heat transfer in boundary layer flow over a thin needle moving in a parallel stream in the presence of nonlinear Rosseland radiation.” International Journal of Thermal Sciences 123 (2018): 117-128.
 Grosan, T., and I. Pop. “Forced convection boundary layer flow past nonisothermal thin needles in nanofluids.” Journal of Heat Transfer 133, no. 5 (2011): 054503.
 Hayat, T., M. Ijaz Khan, M. Farooq, T. Yasmeen, and A. Alsaedi. “Water-carbon nanofluid flow with variable heat flux by a thin needle.” Journal of Molecular Liquids 224 (2016): 786-791.
 Ahmad, Rida, M. Mustafa, and S. Hina. “Buongiorno’s model for fluid flow around a moving thin needle in a flowing nanofluid: A numerical study.” Chinese journal of physics 55, no. 4 (2017): 1264-1274.
 Soid, Siti Khuzaimah, Anuar Ishak, and Ioan Pop. “Boundary layer flow past a continuously moving thin needle in a nanofluid.” Applied Thermal Engineering 114 (2017): 58-64.
 Salleh, Siti, Norfifah Bachok, Norihan Arifin, Fadzilah Ali, and Ioan Pop. “Magnetohydrodynamics flow past a moving vertical thin needle in a nanofluid with stability analysis.” Energies 11, no. 12 (2018): 3297.
 Salleh, Siti Nur Alwani, Norfifah Bachok, Norihan Md Arifin, and Fadzilah Md Ali. “Slip Effect on Mixed Convection Flow Past a Thin Needle in Nanofluid Using Buongiorno’s Model.” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 59, no. 2 (2019) 243-253.
 Salleh, Siti Nur Alwani, Norfifah Bachok, Norihan Md Arifin, and Fadzilah Md Ali. “Numerical Analysis of Boundary Layer Flow Adjacent to a Thin Needle in Nanofluid with the Presence of Heat Source and Chemical Reaction.” Symmetry 11, no. 4 (2019): 543.
 Merkin, J. H. “On dual solutions occurring in mixed convection in a porous medium.” Journal of engineering Mathematics 20, no. 2 (1986): 171-179.
 Abu Bakar, Shahirah, Norihan Arifin, Fadzilah Md Ali, Norfifah Bachok, Roslinda Nazar, and Ioan Pop. “A stability analysis on mixed convection boundary layer flow along a permeable vertical cylinder in a porous medium filled with a nanofluid and thermal radiation.” Applied Sciences 8, no. 4 (2018): 483.
 Salleh, Siti Nur Alwani, Norfifah Bachok, Norihan Md Arifin, and Fadzilah Md Ali. “Stability analysis of nanofluid flow past a moving thin needle subject to convective surface boundary conditions.” In AIP Conference Proceedings, vol. 2184, no. 1, p. 060015. AIP Publishing LLC, 2019.
 Waini, Iskandar, Anuar Ishak, and Ioan Pop. “On the stability of the flow and heat transfer over a moving thin needle with prescribed surface heat flux.” Chinese Journal of Physics 60, (2019): 651-658.
 Weidman, P. D., D. G. Kubitschek, and A. M. J. Davis. “The effect of transpiration on self-similar boundary layer flow over moving surfaces.” International journal of engineering science 44, no. 11-12 (2006): 730-737.
 Oztop, Hakan F., and Eiyad Abu-Nada. “Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids.” International journal of heat and fluid flow 29, no. 5 (2008): 1326-1336.
 Harris, S. D., D. B. Ingham, and I. Pop. “Mixed convection boundary-layer flow near the stagnation point on a vertical surface in a porous medium: Brinkman model with slip.” Transport in Porous Media 77, no. 2 (2009): 267-285.
 Kumar, Sanjay, Pramod Kumar Sharma, and Puneet Rana. “Critical values in transport phenomena for curved power-law sheet utilizing Al2O3-Cu/water hybrid nanoliquid: Model prediction and stability analysis.” Advanced Powder Technology 30, no. 11 (2019): 2787-2800.