Dual Solutions of Hybrid Nanofluid Flow Over a Cone with the Influence of Thermal Radiation and Chemical Reaction and Its Stability Analysis
Abstract
The main intention of this study is to differentiate the stable and realisable solutions between the dual solutions of the water-based hybrid nanofluid flow driven by a solid cone along with energy transfer in the form of heat and mass by employing a new approach called stability analysis. The deviation of thermal radiation, chemical responses and heat absorption/generation are reserved into account. The leading equations which support the mathematical representation of this study are renovated by utilizing a set of similarity variables and solved by the MATLAB built-in bvp4c solver scheme. The outcomes of this study are presented both graphically and numerically. From this study, two kind of flow solutions have been achieved where one of them is related to the time-independent solutions and stable in nature. Also, the speed of the hybrid nanofluid can be controlled by applying magnetic field, but we should keep in mind that excessive amount of magnetic parameter may damage the system by burning.
Downloads
References
S.U.S. Choim, "Enhancing thermal conductivity of uids with nanoparticles," in Proceedings of the 1995 ASME Int. Mech. Eng. Cong. and Exposition, (San Francisco, USA, ASME FED 231/MD, 1995). pp. 99-105
A. Mishra, A.K. Pandey, and M. Kumar, "Velocity, thermal and concentration slip effects on MHD silver-water nanofluid flow past a permeable cone with suction/injection and viscous-ohmic dissipation," Heat Trans. Res. 50(14), 1351–1367 (2019). https://doi.org/10.1615/HeatTransRes.2018020420
A.G. Chanie, B. Shankar, and M.M. Nandeppanavar, "MHD flow of nanofluids through a porous media due to a permeable stretching sheet," J. Nanofluids, 7(3), 488–498 (2018). https://doi.org/10.1166/jon.2018.1480
R. Turcu, Al. Darabont, A. Nan, N. Aldea, D. Macovei, D. Bica, L. Vekas, et al., "New polypyrrolemultiwall carbon nanotubes hybrid materials," J. Optoelectron. Adv. Mater. 8(2), 643–647 (2006).
S. Jana, A. Salehi-Khojin, and W.H. Zhong, "Enhancement of fluid thermal conductivity by the addition of single and hybrid nano-additives," Thermochim. Acta, 462, 45–55 (2007). https://doi.org/10.1016/j.tca.2007.06.009
W. Hu, F. Donat, S.A. Scott, and J.S. Dennis, "The interaction between CuO and Al2O3 and the reactivity of copper aluminates below 1000c and thier implication on the use of the Cu-Al-O system for oxygen storage and production," RSC Adv. 6(114), 113016 (2016). https://doi.org/10.1039/C6RA22712K
M.K.A. Mohamed, A. Ishak, I. Pop, N.F. Mohammad, and S.K. Soid, "Free Convection Boundary Layer Flow from a Vertical Truncated Cone in a Hybrid Nanofluid," Malaysian J. Fundam. Appl. Sci. 18(2), 257–270 (2022). https://doi.org/10.11113/mjfas.v18n2.2410
A. Khan, M. Ashraf, A.M. Rashad, and H.A. Nabwey, "Impact of heat generation on magneto-nanofluid free convection flow about sphere in the plume region," Mathematics, 8(11), 1–18 (2020). https://doi.org/10.3390/math8112010
V. Buddakkagari, and M. Kumar, "Transient Boundary Layer Laminar Free Convective Flow of a Nanofluid Over a Vertical Cone/Plate," Int. J. Appl. Comput. Math. 1(3), 427–448 (2015). https://doi.org/10.1007/s40819-015-0027-9
S.E. Ahmed, and A. Mahdy, "Natural Convection Flow and Heat Transfer Enhancement of a Nanofluid past a Truncated Cone with Magnetic Field Effect," World J. Mech. 02(05), 272–279 (2012). http://dx.doi.org/10.4236/wjm.2012.25033
O.P. Meena, P. Janapatla, and D. Srinivasacharya, "Mixed Convection Fluid Flow Over a Vertical Cone Saturated Porous Media with Double Dispersion and Injection/Suction Effects," Int. J. Appl. Comput. Math, 7, 59 (2021). https://doi.org/10.1007/s40819-021-00990-y
D. Dey, and R. Borah, "Dual Solutions of Boundary Layer Flow with Heat and Mass Transfers over An Exponentially Shrinking Cylinder: Stability Analysis," Lat. Am. Appl. Res. 50(4), 247–253 (2020). https://doi.org/10.52292/j.laar.2020.535
D. Dey, M. Hazarika, and R. Borah, "Entropy Generation Analysis of Magnetized Micropolar Fluid Streaming above An Exponentially Extending Plane," Lat. Am. Appl. Res. 51(4), 255-260 (2021). https://doi.org/10.52292/j.laar.2021.716
D. Dey, O.D. Makinde, and R. Borah, "Analysis of Dual Solutions in MHD Fluid Flow with Heat and Mass Transfer Past an Exponentially Shrinking/Stretching Surface in a Porous Medium," Int. J. Appl. Comput. Math. 8, 66 (2022). https://doi.org/10.1007/s40819-022-01268-7
A.S. Khound, D. Dey, and R. Borah, "Analysis of Entropy Generation of Casson Fluid Flow Over a Stretching Surface with Second-Order Velocity Slip in Presence of Radiation and Chemical Reaction," Int. J. Appl. Comput. Math. 8(2), (2022). https://doi.org/10.1007/s40819-022-01243-2
A.K. Alzahrani, M.Z. Ullah, A.S. Alshomrani, and T. Gul, "Hybrid nanofluid flow in a Darcy-Forchheimer permeable medium over a flat plate due to solar radiation," Case Stud. Therm. Eng. 26, 100955 (2021). https://doi.org/10.1016/j.csite.2021.100955
S.U. Devi, and S.P.A. Devi, "Heat Tansfer Enhancement of Cu-Al2O3/Water Hybrid Nanofluid Flow over a Stretching Sheet," J. Niger. Math. Soc. 36(2), 419–433 (2017). https://ojs.ictp.it/jnms/index.php/jnms/article/view/147/47
N.S. Khashi’ie, N.M. Arifin, I. Pop, and N.S. Wahid, "Flow and heat transfer of hybrid nanofluid over a permeable shrinking cylinder with Joule heating: A comparative analysis," Alexandria Eng. J. 59, 1787–1798 (2020). https://doi.org/10.1016/j.aej.2020.04.048
N. Ahmed, and K. Choudhury, "Heat and mass transfer in three-dimensional flow through a porous medium with periodic permeability," Heat Transf. - Asian Res. 48(2), 644-662 (2019). https://doi.org/10.1002/htj.21399
D. Abdullah, G. Engin, K. Ali, P.H. Kadir, A. Kamil, and A. Ammar, "Effect of Al2O3-SiO2/water Hybrid Nanofluid filled in a square Enclosure on the Natural Convective heat Transfer Characteristics: A numerical Study," J. Nanofluids, 11, 772–781 (2022). https://doi.org/10.1166/jon.2022.1881
A.J. Chamkha, S. Abbasbandy, A.M. Rashad, and K. Vajravelu, "Radiation Effects on Mixed Convection over a Wedge Embedded in a Porous Medium Filled with a Nanofluid," Transp. Porous Media, 91(1), 261–279 (2012). https://doi.org/10.1007/s11242-011-9843-5
C. Sulochana, M.K.K. Kumar, and N. Sandeep, "Radiation and Chemical Reaction Effects on MHD Nanofluid Flow over a Continously Moving Surface in Porous Medium with Non-Uniform Heat Source/Sink," Chem. Process Eng. Res. 33, 1-13 (2015). https://www.iiste.org/Journals/index.php/CPER/article/view/22208/22650
R.P. Sharma, S.R. Mishra, S. Tinker, and B.K. Kulshretha, "Radiative Heat Transfer of Hybrid Nanofluid Flow over an Expanding surface with the interaction of Joule Effect," J. Nanofluids, 11, 745–753 (2022). https://doi.org/10.1166/jon.2022.1872
D. Dey, R. Borah, and A. S. Khound, "Stability analysis on dual solutions of MHD Casson fluid flow with thermal and chemical reaction over a permeable elongating sheet," Heat Transf. 51(4), 3401-3417 (2022). https://doi.org/10.1002/htj.22456
A. Saleem,W. Sabih, S. Nadeem, and M. Ghalambaz, "Theoretical aspects of micropolar nanofluid flow past a deformable rotating cone," Math. Methods Appl. Sci. 1–19 (2020). https://doi.org/10.1002/mma.6777
J.H. Merkin, "On dual solutions occuring in mixed convection in a porous medium," J. Eng. Math, 20(2), 171-179 (1986). https://doi.org/10.1007/BF00042775
S. Ghosh, and S. Mukhopadhyay, "Flow and heat transfer of nanofluid over an exponentially shrinking porous sheet with heat and mass fluxes," Propuls. Power Res. 7(3), 268-275 (2018). https://doi.org/10.1016/j.jppr.2018.07.004
I. Waini, A. Ishak, and I. Pop, "Hiemanz flow over a shrinking sheet in a hybrid nanofluid," Results Phys. 19(8), 103351 (2020). https://doi.org/10.1016/j.rinp.2020.103351
D. Dey, R. Borah and B. Mahanta, "Boundary Layer flow and Its Dual Solutions over a Stretching Cylinder: Stability Analysis," In: Hassanien, A.E., Bhattacharyya, S., Chakrabati, S., Bhattacharya, A., Dutta, S. (eds) Emerging Technologies in Data Mining and Information Security. Advances in Intelligent Systems and Computing, vol 1286. Springer, Singapore. https://doi.org/10.1007/978-981-15-9927-9_3
M. Prameela, D. V. Lakshmi, https://doi.org/10.34049/bcc.52.2.5168and J. R. Gurejala, "Influence of thermal radiation on mhd fluid flow over a sphere," Biointerface Res. Appl. Chem. 12(5), 6978–6990 (2022). https://doi.org/10.33263/BRIAC125.69786990
G.S. Mishra, M.R. Hussain, O.D. Makinde, and S.M. Seth, "Stability analysis and dual multiple solutions of a hydromagnetic dissipative flow over a stretching/shrinking sheet," Bulg. Chem. Commun. 52(2), 259-271 (2020). https://doi.org/10.34049/bcc.52.2.5168
D. Dey, and R. Borah, "Stability analysis on dual solutions of second-grade fluid flow with heat and mass transfers over a stretching sheet," International Journal of Thermofluid Science and Technology, 8(2), 080203 (2021). https://doi.org/10.36963/IJTST.2021080203
Copyright (c) 2023 Debasish Dey, Rupjyoti Borah, Ashim Jyoti Baruah
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).