Heat Transfer Flow of Ternary Hybrid Nanofluid (Al2o3-Zro2-Mgo) Over A Sinusoidal Wavy Surface

Authors

  • Vakapalli Ramu Department of Mathematics, Rajiv Gandhi University of Knowledge Technologies, Nuzvid, Andhra Pradesh, India-521201
  • Paramsetti Sri Ramachandra Murty Department of Mathematics, GITAM School of Sciences, GITAM (Deemed to be University), Visakhapatnam, Andhra Pradesh, India-530045

DOI:

https://doi.org/10.37934/arnht.24.1.4557

Keywords:

Sinusoidal wavy surface, Darcy Porous Medium, Ternary hybrid nanofluid, Spectral Method, Heat transfer Enhancement

Abstract

This study examines how the hybrid nanofluid over a vertically wavy surface enhances heat transmission. The flow through a porous media is investigated using Darcy law. The sine wave characterizes the non-uniform behaviour of the vertical wall. The governing equations1 for the conservation of mass, momentum in the x and y directions, and energy are obtained. With the help of the proper transformations, they are non-dimensionalized. The PDE is converted to an ODE using the Similarity transformation. The resulting ODEs are solved using the spectral collocation method, and the results are shown together with several nanoparticle thermos-physical parameters.

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Author Biographies

Vakapalli Ramu, Department of Mathematics, Rajiv Gandhi University of Knowledge Technologies, Nuzvid, Andhra Pradesh, India-521201

vakapalliramu@gmail.com

Paramsetti Sri Ramachandra Murty, Department of Mathematics, GITAM School of Sciences, GITAM (Deemed to be University), Visakhapatnam, Andhra Pradesh, India-530045

dparamse@gitam.edu

References

Souby, M. Mohamed, Mohamed HS Bargal, and Yiping Wang. "Thermohydraulic performance improvement and entropy generation characteristics of a microchannel heat sink cooled with new hybrid nanofluids containing ternary/binary hybrid nanocomposites." Energy Science & Engineering 9, no. 12 (2021): 2493-2513. https://doi.org/10.1002/ese3.982 DOI: https://doi.org/10.1002/ese3.982

Zahan, I., Rehena Nasrin, and Shatay Khatun. "Thermal performance of ternary-hybrid nanofluids through a convergent-divergent nozzle using distilled water-ethylene glycol mixtures." International Communications in Heat and Mass Transfer 137 (2022): 106254. https://doi.org/10.1016/j.icheatmasstransfer.2022.106254 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2022.106254

M., N.U., E.-Z.E.R. et al Sohail,Galerkin finite element analysis for the augmentation in thermal transport of ternary-hybrid nanoparticles by engaging non-Fourier’s law., Sci Rep. 12 (2022) 13497. https://doi.org/10.1038/s41598-022-17424-4 DOI: https://doi.org/10.1038/s41598-022-17424-4

Algehyne, Ebrahem A., Haifaa F. Alrihieli, Muhammad Bilal, Anwar Saeed, and WajareeWeera. "Numerical approach toward ternary hybrid nanofluid flow using variable diffusion and non-Fourier’s concept." ACS omega 7, no. 33 (2022): 29380-29390. https://doi.org/10.1021/acsomega.2c03634 DOI: https://doi.org/10.1021/acsomega.2c03634

Alharbi, Khalid Abdulkhaliq M., Ahmed El-Sayed Ahmed, MaawiyaOuld Sidi, Nandalur Ameer Ahammad, Abdullah Mohamed, Mohammed A. El-Shorbagy, Muhammad Bilal, and Riadh Marzouki. "Computational valuation of Darcy ternary-hybrid nanofluid flow across an extending cylinder with induction effects." Micromachines 13, no. 4 (2022): 588. https://doi.org/10.3390/mi13040588 DOI: https://doi.org/10.3390/mi13040588

Khan, Sohail A., T. Hayat, and A. Alsaedi. "Thermal conductivity performance for ternary hybrid nanomaterial subject to entropy generation." Energy Reports 8 (2022): 9997-10005. https://doi.org/10.1016/j.egyr.2022.07.149 DOI: https://doi.org/10.1016/j.egyr.2022.07.149

Ramzan, Muhammad, Abdullah Dawar, Anwar Saeed, PoomKumam, KanokwanSitthithakerngkiet, and Showkat Ahmad Lone. "Analysis of the partially ionized kerosene oil-based ternary nanofluid flow over a convectively heated rotating surface." Open Physics 20, no. 1 (2022): 507-525. https://doi.org/10.1515/phys-2022-0055 DOI: https://doi.org/10.1515/phys-2022-0055

Manjunatha, S., V. Puneeth, B. J. Gireesha, and Ali Chamkha. "Theoretical study of convective heat transfer in ternary‎ nanofluid flowing past a stretching sheet." Journal of Applied and Computational Mechanics 8, no. 4 (2022): 1279-1286.

Haider, Farwa, Metib Alghamdi, and Taseer Muhammad. "Heat transfer analysis of ternary hybrid nanofluid through variable characteristic porous medium: Non-similar approach." Modern Physics Letters B (2024): 2450299. https://doi.org/10.1142/S0217984924502993 DOI: https://doi.org/10.1142/S0217984924502993

Necib, Nihal, Mohammed Benkhedda, Tahar Tayebi, and ToufikBoufendi. "Three-dimensional mixed convection and entropy generation of binary and ternary hybrid nanofluids flow inside a porous media-filled horizontal annular duct under magnetic field." Journal of Thermal Analysis and Calorimetry 149, no. 2 (2024): 813-838. https://doi.org/10.1007/s10973-023-12717-w DOI: https://doi.org/10.1007/s10973-023-12717-w

Riaz, Saman, Muhammad F. Afzaal, Zhan Wang, Ahmed Jan, and Umer Farooq. "Numerical heat transfer of non-similar ternary hybrid nanofluid flow over linearly stretching surface." Numerical Heat Transfer, Part A: Applications (2023): 1-15. https://doi.org/10.1080/10407782.2023.2251093 DOI: https://doi.org/10.1080/10407782.2023.2251093

EL-Kabeir, S. M. M., A. M. Rashad, H. EL-Mky, and Shereen Abd Elnaem. "Magneto-Ternary Hybrid Nanofluid Flow About Stretching Cylinder in a Porous Medium with Gyrotactic Microorganism." Journal of Nanofluids 12, no. 7 (2023): 1841-1849. https://doi.org/10.1166/jon.2023.2068 DOI: https://doi.org/10.1166/jon.2023.2068

Sahoo, Rashmi Rekha. "Thermo-hydraulic characteristics of radiator with various shape nanoparticle-based ternary hybrid nanofluid." Powder technology 370 (2020): 19-28. https://doi.org/10.1016/j.powtec.2020.05.013 DOI: https://doi.org/10.1016/j.powtec.2020.05.013

Sahoo, Rashmi Rekha, and Vikash Kumar. "Development of a new correlation to determine the viscosity of ternary hybrid nanofluid." International Communications in Heat and Mass Transfer 111 (2020): 104451. https://doi.org/10.1016/j.icheatmasstransfer.2019.104451 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2019.104451

Animasaun, Isaac Lare, Qasem M. Al-Mdallal, Umair Khan, and Ali Saleh Alshomrani. "Unsteady water-based ternary hybrid nanofluids on wedges by bioconvection and wall stretching velocity: Thermal analysis and scrutinization of small and larger magnitudes of the thermal conductivity of nanoparticles." Mathematics 10, no. 22 (2022): 4309. https://doi.org/10.3390/math10224309 DOI: https://doi.org/10.3390/math10224309

Cao, Wenhao, I. L. Animasaun, Se-JinYook, V. A. Oladipupo, and Xianjun Ji. "Simulation of the dynamics of colloidal mixture of water with various nanoparticles at different levels of partial slip: Ternary-hybrid nanofluid." International Communications in Heat and Mass Transfer 135 (2022): 106069. https://doi.org/10.1016/j.icheatmasstransfer.2022.106069 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2022.106069

Animasaun, I. L., A. S. Oke, Qasem M. Al-Mdallal, and A. M. Zidan. "Exploration of water conveying carbon nanotubes, graphene, and copper nanoparticles on impermeable stagnant and moveable walls experiencing variable temperature: Thermal analysis." Journal of Thermal Analysis and Calorimetry 148, no. 10 (2023): 4513-4522. https://doi.org/10.1007/s10973-023-11997-6 DOI: https://doi.org/10.1007/s10973-023-11997-6

Srinivasacharya, D., B. Mallikarjuna, and R. Bhuvanavijaya. "Soret and Dufour effects on mixed convection along a vertical wavy surface in a porous medium with variable properties." Ain Shams Engineering Journal 6, no. 2 (2015): 553-564. https://doi.org/10.1016/j.asej.2014.11.007 DOI: https://doi.org/10.1016/j.asej.2014.11.007

Srinivasacharya, Darbhasayanam, BandaruMallikarjuna, and RachamallaBhuvanavijaya. "Effects of thermophoresis and variable properties on mixed convection along a vertical wavy surface in a fluid saturated porous medium." Alexandria Engineering Journal 55, no. 2 (2016): 1243-1253. https://doi.org/10.1016/j.aej.2016.04.015 DOI: https://doi.org/10.1016/j.aej.2016.04.015

Srinivasacharya, D., B. Mallikarjuna, and G. Chandrasekhara. "Convective heat transfer flow along a sinusoidal wavy surface in a porous medium with variable permeability." Procedia Engineering 127 (2015): 524-530. https://doi.org/10.1016/j.proeng.2015.11.340 DOI: https://doi.org/10.1016/j.proeng.2015.11.340

Wilkes, Kenneth E., Robert L. Wendt, Agnes Delmas, and Phillip W. Childs. "Thermal performance of one loose-fill fiberglass attic insulation." Insulation materials: Testing and applications 2 (1991): 275-91. https://doi.org/10.1520/STP16352S DOI: https://doi.org/10.1520/STP16352S

Narayana, PA Lakshmi, and P. Sibanda. "Soret and Dufour effects on free convection along a vertical wavy surface in a fluid saturated Darcy porous medium." International Journal of Heat and Mass Transfer 53, no. 15-16 (2010): 3030-3034. https://doi.org/10.1016/j.ijheatmasstransfer.2010.03.025 DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2010.03.025

Yao, Lun-Shin. "Natural convection along a vertical wavy surface." (1983): 465-468. https://doi.org/10.1115/1.3245608 DOI: https://doi.org/10.1115/1.3245608

Shenoy, A. V. "Darcy natural, forced and mixed convection heat transfer from an isothermal vertical flat plate embedded in a porous medium saturated with an elastic fluid of constant viscosity." International journal of engineering science 30, no. 4 (1992): 455-467. https://doi.org/10.1016/0020-7225(92)90037-H DOI: https://doi.org/10.1016/0020-7225(92)90037-H

Rees, D. Andrew S., and I. Pop. "Note on free convection along a vertical wavy surface in a porous medium." ASME Journal of Heat Transfer 116, no. 2 (1994): 505-508. https://doi.org/10.1115/1.2911430 DOI: https://doi.org/10.1115/1.2911430

Kumari, M., I. Pop, and H. S. Takhar. "Free-convection boundary-layer flow of a non-Newtonian fluid along a vertical wavy surface." International journal of heat and fluid flow 18, no. 6 (1997): 625-631. https://doi.org/10.1016/S0142-727X(97)00024-6 DOI: https://doi.org/10.1016/S0142-727X(97)00024-6

Bhuvanavijaya, R., and B. Mallikarjuna. "Effect of variable thermal conductivity on convective heat and mass transfer over a vertical plate in a rotating system with variable porosity regime." J. Naval Architect. Mar. Eng 11 (2014): 83-92. https://doi.org/10.3329/jname.v11i1.16488 DOI: https://doi.org/10.3329/jname.v11i1.16488

Rees, D. Andrew S., and I. Pop. "Free convection induced by a vertical wavy surface with uniform heat flux in a porous medium." (1995): 547-550. https://doi.org/10.1115/1.2822565 DOI: https://doi.org/10.1115/1.2822565

Kabir, K. H., M. A. Alim, and L. S. Andallah. “Effects of viscous dissipation on MHD natural convection flow along a vertical wavy surface with heat generation.” (2013). https://doi.org/10.1186/2251-7235-7-31 DOI: https://doi.org/10.1186/2251-7235-7-31

Siddiqa, Sadia, M. Sulaiman, M. A. Hossain, S. Islam, and Rama Subba Reddy Gorla. “Gyrotactic bioconvection flow of a nanofluid past a vertical wavy surface.” International Journal of Thermal Sciences 108 (2016): 244-250. https://doi.org/10.1016/j.ijthermalsci.2016.05.017 DOI: https://doi.org/10.1016/j.ijthermalsci.2016.05.017

Mahdy, A., and Sameh E. Ahmed. "Laminar free convection over a vertical wavy surface embedded in a porous medium saturated with a nanofluid." Transport in Porous Media 91 (2012): 423-435. https://doi.org/10.1007/s11242-011-9852-4 DOI: https://doi.org/10.1007/s11242-011-9852-4

Ahmed, Sameh E., and M. M. Abd El-Aziz. "Effect of local thermal non-equilibrium on unsteady heat transfer by natural convection of a nanofluid over a vertical wavy surface." Meccanica 48 (2013): 33-43. https://doi.org/10.1007/s11012-012-9581-y DOI: https://doi.org/10.1007/s11012-012-9581-y

Published

2024-10-02

How to Cite

Ramu, V. ., & Murty, P. S. R. . (2024). Heat Transfer Flow of Ternary Hybrid Nanofluid (Al2o3-Zro2-Mgo) Over A Sinusoidal Wavy Surface. Journal of Advanced Research in Numerical Heat Transfer, 24(1), 45–57. https://doi.org/10.37934/arnht.24.1.4557

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