Radiative Hybrid Ferrofluid Flow Over a Permeable Shrinking Sheet in a Three-Dimensional System

Authors

  • Najiyah Safwa Khashi'Ie Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia
  • Iskandar Waini Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia
  • Nur Syahirah Wahid Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • Norihan Md Arifin Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • Ioan Pop Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania

DOI:

https://doi.org/10.37934/cfdl.14.11.921

Keywords:

Hybrid ferrofluid, magnetic field, radiation, shrinking sheet

Abstract

Due to the significance of magnetic nanofluids in environmental and biomedical sectors, this study is designed to analyze the available solutions alongside with the flow and thermal behaviours of radiative hybrid ferrofluid flow in a three-dimensional system subjected to the shrinking surface. The case of Fe3O4-CoFe2O4/water is considered in this work. The initial procedure is conducted by reducing the complex model into a system of nonlinear differential equations using similarity transformation technique. The results are generated using the bvp4c package in the Matlab software and graphically presented. The existence of dual solutions leads to the treatment of stability analysis where the first solution is affirmed as the physical solution. Meanwhile, the impact of thermal radiation, magnetic field and suction are also observed for the distributions of thermal rate and skin friction coefficients. These distributions boost with the imposition of magnetic field and suction while a deterioration in thermal rate is observed with the rise of thermal radiation.

Author Biographies

Najiyah Safwa Khashi'Ie, Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia

najiyah@utem.edu.my

Iskandar Waini, Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia

Nur Syahirah Wahid, Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

Norihan Md Arifin, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

Ioan Pop, Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania

References

Gudekote, Manjunatha, and Rajashekhar Choudhari. "Slip effects on peristaltic transport of Casson fluid in an inclined elastic tube with porous walls." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 43, no. 1 (2018): 67-80.

Hamrelaine, Salim, Fateh Mebarek-Oudina, and Mohamed Rafik Sari. "Analysis of MHD Jeffery Hamel flow with suction/injection by homotopy analysis method." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 58, no. 2 (2019): 173-186.

Khan, Ansab Azam, Khairy Zaimi, Suliadi Firdaus Sufahani, and Mohammad Ferdows. "MHD flow and heat transfer of double stratified micropolar fluid over a vertical permeable shrinking/stretching sheet with chemical reaction and heat source." Journal of Advanced Research in Applied Sciences and Engineering Technology 21, no. 1 (2020): 1-14. https://doi.org/10.37934/araset.21.1.114

Shahrim, Muhammad Nazirul, Ahmad Qushairi Mohamad, Lim Yeou Jiann, Muhamad Najib Zakaria, Sharidan Shafie, Zulkhibri Ismail, and Abdul Rahman Mohd Kasim. "Exact solution of fractional convective Casson fluid through an accelerated plate." CFD Letters 13, no. 6 (2021): 15-25. https://doi.org/10.37934/cfdl.13.6.1525

Arifin, Nur Syamilah, Abdul Rahman Mohd Kasim, Syazwani Mohd Zokri, and Mohd Zuki Salleh. "Boundary Layer Flow of Dusty Williamson Fluid with Variable Viscosity Effect Over a Stretching Sheet." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 86, no. 1 (2021): 164-175. https://doi.org/10.37934/arfmts.86.1.164175

Dasman, Anisah, Abdul Rahman Mohd Kasim, Iskandar Waini, and Najiyah Safwa Khashi’ie. "Numerical Solution for Boundary Layer Flow of a Dusty Micropolar Fluid Due to a Stretching Sheet with Constant Wall Temperature." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 87, no. 1 (2021): 30-40. https://doi.org/10.37934/arfmts.87.1.3040

Jamali, Muhammad Sabaruddin Ahmad, Zuhaila Ismail, and Norsarahaida Saidina Amin. "Effect of Different Types of Stenosis on Generalized Power Law Model of Blood Flow in a Bifurcated Artery." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 87, no. 3 (2021): 172-183. https://doi.org/10.37934/arfmts.87.3.172183

Beleri, Joonabi, and Asha S. Kotnurkar. "Peristaltic Transport of Ellis Fluid under the Influence of Viscous Dissipation Through a Non-Uniform Channel by Multi-Step Differential Transformation Method." Journal of Advanced Research in Numerical Heat Transfer 9, no. 1 (2022): 1-18.

Mahat, Rahimah, Muhammad Saqib, Imran Ulah, Sharidan Shafie, and Sharena Mohamad Isa. "MHD Mixed Convection of Viscoelastic Nanofluid Flow due to Constant Heat Flux." Journal of Advanced Research in Numerical Heat Transfer 9, no. 1 (2022): 19-25.

Zokri, Syazwani Mohd, Nur Syamilah Arifin, Abdul Rahman Mohd Kasim, and Mohd Zuki Salleh. "Flow of jeffrey fluid over a horizontal circular cylinder with suspended nanoparticles and viscous dissipation effect: Buongiorno model." CFD letters 12, no. 11 (2020): 1-13. https://doi.org/10.37934/cfdl.12.11.113

Choi, S. US, and Jeffrey A. Eastman. Enhancing thermal conductivity of fluids with nanoparticles. No. ANL/MSD/CP-84938; CONF-951135-29. Argonne National Lab.(ANL), Argonne, IL (United States), 1995.

Daungthongsuk, Weerapun, and Somchai Wongwises. "A critical review of convective heat transfer of nanofluids." Renewable and sustainable energy reviews 11, no. 5 (2007): 797-817. https://doi.org/10.1016/j.rser.2005.06.005

Ajeeb, Wagd, and SM Sohel Murshed. "Nanofluids in compact heat exchangers for thermal applications: A State-of-the-art review." Thermal Science and Engineering Progress (2022): 101276. https://doi.org/10.1016/j.tsep.2022.101276

Mamat, Hussin, and Mohamad Ramadan. "Nanofluids: Thermal Conductivity and Applications." (2022): 288-296. https://doi.org/10.1016/B978-0-12-815732-9.00141-8

Xuan, Lee Wei, Mohd Fadhil Majnis, Syahriza Ismail, and Mohd Azam Mohd Adnan. "Synthesis of bi-component ZrO2/Ag nanotube for heavy metal removal." Progress in Energy and Environment 18 (2021): 23-33. https://doi.org/10.37934/progee.18.1.2333

Sharafatmandjoor, Shervin. "Effect of Imposition of viscous and thermal forces on Dynamical Features of Swimming of a Microorganism in nanofluids." Journal of Advanced Research in Micro and Nano Engineering 8, no. 1 (2022): 1-8.

Kole, Madhusree, and Sameer Khandekar. "Engineering applications of ferrofluids: A review." Journal of Magnetism and Magnetic Materials 537 (2021): 168222. https://doi.org/10.1016/j.jmmm.2021.168222

Horng, Herng-Er, Chin-Yih Hong, Shieh-Yueh Yang, and Hong-Chang Yang. "Novel properties and applications in magnetic fluids." Journal of Physics and Chemistry of Solids 62, no. 9-10 (2001): 1749-1764. https://doi.org/10.1016/S0022-3697(01)00108-1

Odenbach, Stefan. "Ferrofluids and their applications." MRS bulletin 38, no. 11 (2013): 921-924. https://doi.org/10.1557/mrs.2013.232

Babu, JA Ranga, K. Kiran Kumar, and S. Srinivasa Rao. "State-of-art review on hybrid nanofluids." Renewable and Sustainable Energy Reviews 77 (2017): 551-565. https://doi.org/10.1016/j.rser.2017.04.040

Sundar, L. Syam, Manoj K. Singh, and Antonio CM Sousa. "Enhanced heat transfer and friction factor of MWCNT–Fe3O4/water hybrid nanofluids." International Communications in Heat and Mass Transfer 52 (2014): 73-83. https://doi.org/10.1016/j.icheatmasstransfer.2014.01.012

Abbas, Farrukh, Hafiz Muhammad Ali, Muhammad Shaban, Muhammad Mansoor Janjua, Tayyab Raza Shah, Mohammad Hossein Doranehgard, Majid Ahmadlouydarab, and Farukh Farukh. "Towards convective heat transfer optimization in aluminum tube automotive radiators: Potential assessment of novel Fe2O3-TiO2/water hybrid nanofluid." Journal of the Taiwan Institute of Chemical Engineers 124 (2021): 424-436. https://doi.org/10.1016/j.jtice.2021.02.002

Mishra, Ashish, and Himanshu Upreti. "A comparative study of Ag–MgO/water and Fe3O4–CoFe2O4/EG–water hybrid nanofluid flow over a curved surface with chemical reaction using Buongiorno model." Partial Differential Equations in Applied Mathematics 5 (2022): 100322. https://doi.org/10.1016/j.padiff.2022.100322

Izady, Mohammad, Saeed Dinarvand, Ioan Pop, and Ali J. Chamkha. "Flow of aqueous Fe2O3–CuO hybrid nanofluid over a permeable stretching/shrinking wedge: A development on Falkner–Skan problem." Chinese Journal of Physics 74 (2021): 406-420. https://doi.org/10.1016/j.cjph.2021.10.018

Elsaid, Essam M., and Mohamed S. Abdel-wahed. "MHD mixed convection Ferro Fe3O4/Cu-hybrid-nanofluid runs in a vertical channel." Chinese Journal of Physics 76 (2022): 269-282. https://doi.org/10.1016/j.cjph.2021.12.016

Khazayinejad, Mehdi, and S. S. Nourazar. "On the effect of spatial fractional heat conduction in MHD boundary layer flow using Gr-Fe3O4–H2O hybrid nanofluid." International Journal of Thermal Sciences 172 (2022): 107265. https://doi.org/10.1016/j.ijthermalsci.2021.107265

Nabwey, Hossam A., and A. Mahdy. "Transient flow of micropolar dusty hybrid nanofluid loaded with Fe3O4-Ag nanoparticles through a porous stretching sheet." Results in Physics 21 (2021): 103777. https://doi.org/10.1016/j.rinp.2020.103777

Khan, M. Ijaz, Sumaira Qayyum, Faisal Shah, R. Naveen Kumar, RJ Punith Gowda, B. C. Prasannakumara, Yu-Ming Chu, and S. Kadry. "Marangoni convective flow of hybrid nanofluid (MnZnFe2O4-NiZnFe2O4-H2O) with Darcy Forchheimer medium." Ain Shams Engineering Journal 12, no. 4 (2021): 3931-3938. https://doi.org/10.1016/j.asej.2021.01.028

Li, Yi-Xia, Sumaira Qayyum, M. Ijaz Khan, Yasser Elmasry, and Yu-Ming Chu. "Motion of hybrid nanofluid (MnZnFe2O4–NiZnFe2O4–H2O) with homogeneous–heterogeneous reaction: Marangoni convection." Mathematics and Computers in Simulation 190 (2021): 1379-1391. https://doi.org/10.1016/j.matcom.2021.07.017

Anuar, Nur Syazana, Norfifah Bachok, and Ioan Pop. "Influence of MHD Hybrid Ferrofluid Flow on Exponentially Stretching/Shrinking Surface with Heat Source/Sink under Stagnation Point Region." Mathematics 9, no. 22 (2021): 2932. https://doi.org/10.3390/math9222932

Hosseinzadeh, Kh, So Roghani, A. Asadi, Amirreza Mogharrebi, and D. D. Ganji. "Investigation of micropolar hybrid ferrofluid flow over a vertical plate by considering various base fluid and nanoparticle shape factor." International Journal of Numerical Methods for Heat & Fluid Flow 31, no. 1 (2020): 402-417. https://doi.org/10.1108/HFF-02-2020-0095

Tlili, Iskander, M. T. Mustafa, K. Anantha Kumar, and N. Sandeep. "Effect of asymmetrical heat rise/fall on the film flow of magnetohydrodynamic hybrid ferrofluid." Scientific reports 10, no. 1 (2020): 1-11. https://doi.org/10.1038/s41598-020-63708-y

Rosseland, Svein. Astrophysik: Auf atomtheoretischer grundlage. Vol. 11. Springer-Verlag, 2013.

Sparrow, E. M., and R. D. Cess. "Radiation Heat Transfer, Augmented edition, Hemisphere Publ." Crop., Washington, DC (1978).

Yaseen, Moh, Manoj Kumar, and Sawan Kumar Rawat. "Assisting and opposing flow of a MHD hybrid nanofluid flow past a permeable moving surface with heat source/sink and thermal radiation." Partial Differential Equations in Applied Mathematics 4 (2021): 100168. https://doi.org/10.1016/j.padiff.2021.100168

Gumber, Priya, Moh Yaseen, Sawan Kumar Rawat, and Manoj Kumar. "Heat transfer in micropolar hybrid nanofluid flow past a vertical plate in the presence of thermal radiation and suction/injection effects." Partial Differential Equations in Applied Mathematics 5 (2022): 100240. https://doi.org/10.1016/j.padiff.2021.100240

Rana, Puneet, Saloni Gupta, and Gaurav Gupta. "Unsteady nonlinear thermal convection flow of MWCNT-MgO/EG hybrid nanofluid in the stagnation-point region of a rotating sphere with quadratic thermal radiation: RSM for optimization." International Communications in Heat and Mass Transfer 134 (2022): 106025. https://doi.org/10.1016/j.icheatmasstransfer.2022.106025

Bakar, Shahirah Abu, Norihan Md Arifin, Norfifah Bachok, and Fadzilah Md Ali. "Effect of thermal radiation and MHD on hybrid Ag–TiO2/H2O nanofluid past a permeable porous medium with heat generation." Case Studies in Thermal Engineering 28 (2021): 101681. https://doi.org/10.1016/j.csite.2021.101681

Mahabaleshwar, U. S., A. B. Vishalakshi, and Helge I. Andersson. "Hybrid nanofluid flow past a stretching/shrinking sheet with thermal radiation and mass transpiration." Chinese Journal of Physics 75 (2022): 152-168. https://doi.org/10.1016/j.cjph.2021.12.014

Shoaib, Muhammad, Muhammad Asif Zahoor Raja, Muhammad Touseef Sabir, Muhammad Awais, Saeed Islam, Zahir Shah, and Poom Kumam. "Numerical analysis of 3-D MHD hybrid nanofluid over a rotational disk in presence of thermal radiation with Joule heating and viscous dissipation effects using Lobatto IIIA technique." Alexandria Engineering Journal 60, no. 4 (2021): 3605-3619. https://doi.org/10.1016/j.aej.2021.02.015

Syahirah Wahid, Nur, Norihan Md Arifin, Najiyah Safwa Khashi’ie, Ioan Pop, Norfifah Bachok, and Mohd Ezad Hafidz Hafidzuddin. "Three-Dimensional Stretching/Shrinking Flow of Hybrid Nanofluid with Slips and Joule Heating." Journal of Thermophysics and Heat Transfer (2022): 1-10. https://doi.org/10.2514/1.T6488

Khashi'ie, Najiyah S., Nur S. Wahid, Norihan Md Arifin, and Ioan Pop. "Insight into three‐dimensional flow of three different dynamics of nanofluids subject to thermal radiation: The case of water–cobalt ferrite, water–manganese–zinc ferrite, and water–magnetite." Heat Transfer (2022). https://doi.org/10.1002/htj.22506

Waini, Iskandar, Najiyah Safwa Khashi’ie, Abdul Rahman Mohd Kasim, Nurul Amira Zainal, Khairum Bin Hamzah, Norihan Md Arifin, and Ioan Pop. "Unsteady Magnetohydrodynamics (MHD) Flow of Hybrid Ferrofluid Due to a Rotating Disk." Mathematics 10, no. 10 (2022): 1658. https://doi.org/10.3390/math10101658

Merkin, J. H. "On dual solutions occurring in mixed convection in a porous medium." Journal of engineering Mathematics 20, no. 2 (1986): 171-179. https://doi.org/10.1007/BF00042775

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. https://doi.org/10.1016/j.ijengsci.2006.04.005

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. https://doi.org/10.1007/s11242-008-9309-6

Yusuf, T. A., F. Mabood, W. A. Khan, and J. A. Gbadeyan. "Irreversibility analysis of Cu-TiO2-H2O hybrid-nanofluid impinging on a 3-D stretching sheet in a porous medium with nonlinear radiation: Darcy-Forchhiemer’s model." Alexandria Engineering Journal 59, no. 6 (2020): 5247-5261. https://doi.org/10.1016/j.aej.2020.09.053

Khashi'ie, Najiyah Safwa, Nur Syahirah Wahid, Norihan Md Arifin, and Ioan Pop. "Magnetohydrodynamics unsteady separated stagnation‐point (USSP) flow of a hybrid nanofluid on a moving plate." ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik (2022): e202100410. https://doi.org/10.1002/zamm.202100410

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Published

2022-11-12

How to Cite

Najiyah Safwa Khashi’Ie, Iskandar Waini, Nur Syahirah Wahid, Norihan Md Arifin, & Ioan Pop. (2022). Radiative Hybrid Ferrofluid Flow Over a Permeable Shrinking Sheet in a Three-Dimensional System. CFD Letters, 14(11), 9–21. https://doi.org/10.37934/cfdl.14.11.921

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