Dufour and Soret Influence on MHD of an Oldroyd-B Fluid over a Stretching Sheet with Nanoparticles
DOI:
https://doi.org/10.37934/cfdl.16.5.91106Keywords:
Oldroyd-B fluid, Nanoparticles, Soret–Dufour, Stretching sheet, SLMAbstract
In this study, the heat and mass transfer characteristics of a two-dimensional incompressible Oldroyd-B fluid over a stretching sheet in the presence of Soret, Dufour, and nanoparticles are investigated. The effects of elasticity and magnetohydrodynamics on flow are being studied. The transport equations contain Brownian motion and thermophoresis. The governing partial differential equations and associated boundary conditions are dimension less using sufficient similarity variables. The resulting ordinary differential equations are solved using the successive linearization method. It has been quantitatively measured and explored how different embedded thermophysical characteristics affect fluid velocity, temperature, concentration, Nusselt number, and Sherwood number. The temperature and concentration distribution increase when the values of Du and Sr rise. As Nb estimations rise, Nusselt number estimates fall. It should be emphasized that the influence is shown to be quite modest as a retardation time is increased. A comparison of one instance of our findings with those previously published in the literature reveals a very strong agreement.
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Hayat, Tasawar, Taseer Muhammad, Sabir Ali Shehzad, and Ahmed Alsaedi. "Temperature and concentration stratification effects in mixed convection flow of an Oldroyd-B fluid with thermal radiation and chemical reaction." PloS one 10, no. 6 (2015): e0127646. https://doi.org/10.1371/journal.pone.0127646
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
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.
Hayat, T., Sohail A. Khan, A. Alsaedi, and Habib M. Fardoun. "Heat transportation in electro-magnetohydrodynamic flow of Darcy-Forchheimer viscous fluid with irreversibility analysis." Physica Scripta 95, no. 10 (2020): 105214. https://doi.org/10.1088/1402-4896/abb7aa
Shaqfeh, Eric SG. "Purely elastic instabilities in viscometric flows." Annual Review of Fluid Mechanics 28, no. 1 (1996): 129-185. https://doi.org/10.1146/annurev.fl.28.010196.001021
Laso, Manuel, and Hans Christian Öttinger. "Calculation of viscoelastic flow using molecular models: the CONNFFESSIT approach." Journal of Non-Newtonian Fluid Mechanics 47 (1993): 1-20. https://doi.org/10.1016/0377-0257(93)80042-a
Sajid, M., Z. Abbas, T. Javed, and N. Ali. "Boundary layer flow of an Oldroyd-B fluid in the region of a stagnation point over a stretching sheet." Canadian Journal of Physics 88, no. 9 (2010): 635-640. https://doi.org/10.1139/p10-049
Venkatesh, Nuka, Mella Anil Kumar, and Rallabandi Srinivasa Raju. "Dufour and Soret influence on MHD boundary layer flow of a Maxwell fluid over a stretching sheet with nanoparticles." Heat Transfer 51, no. 6 (2022): 5193-5205. https://doi.org/10.1002/htj.22543
Motsa, S. S., Z. G. Makukula, and S. Shateyi. "Numerical investigation of the effect of unsteadiness on three-dimensional flow of an Oldroyb-B fluid." PLoS One 10, no. 7 (2015): e0133507. https://doi.org/10.1371/journal.pone.0133507
Hayat, Tasawar, Maria Imtiaz, Ahmed Alsaedi, and Saleh Almezal. "On Cattaneo–Christov heat flux in MHD flow of Oldroyd-B fluid with homogeneous–heterogeneous reactions." Journal of Magnetism and Magnetic Materials 401 (2016): 296-303. https://doi.org/10.1016/j.jmmm.2015.10.039
Rajagopal, K. R., and R. K. Bhatnagar. "Exact solutions for some simple flows of an Oldroyd-B fluid." Acta Mechanica 113, no. 1-4 (1995): 233-239. https://doi.org/10.1007/bf01212645
Hayat, T., S. A. Shehzad, A. Alsaedi, and M. S. Alhothuali. "Three-dimensional flow of Oldroyd-B fluid over surface with convective boundary conditions." Applied mathematics and Mechanics 34, no. 4 (2013): 489-500. https://doi.org/10.1007/s10483-013-1685-9
Hayat, Tasawar, Sabir Ali Shehzad, Saleh Al-Mezel, and Ahmed Alsaedi. "Three-dimensional flow of an Oldroyd-B fluid over a bidirectional stretching surface with prescribed surface temperature and prescribed surface heat flux." Journal of Hydrology and Hydromechanics 62, no. 2 (2014): 117. https://doi.org/10.2478/johh-2014-0016
Mabood, Fazle, Gabriella Bognár, and Anum Shafiq. "Impact of heat generation/absorption of magnetohydrodynamics Oldroyd-B fluid impinging on an inclined stretching sheet with radiation." Scientific Reports 10, no. 1 (2020): 17688. https://doi.org/10.1038/s41598-020-74787-2
Shankaralingappa, Bheemasandra M., Ballajja C. Prasannakumara, Bijjanal J. Gireesha, and Ioannis E. Sarris. "The impact of Cattaneo–Christov double diffusion on Oldroyd-B Fluid flow over a stretching sheet with thermophoretic particle deposition and relaxation chemical reaction." Inventions 6, no. 4 (2021): 95. https://doi.org/10.3390/inventions6040095
Yasir, Muhammad, Awais Ahmed, Masood Khan, Abdullah Khamis Alzahrani, Zaka Ullah Malik, and Ahmed Mohammad Alshehri. "Mathematical modelling of unsteady Oldroyd-B fluid flow due to stretchable cylindrical surface with energy transport." Ain Shams Engineering Journal 14, no. 1 (2023): 101825. https://doi.org/10.1016/j.asej.2022.101825
Liao, Shijun. Beyond perturbation: introduction to the homotopy analysis method. CRC press, 2003.
Makinde, O. D. "Effect of arbitrary magnetic Reynolds number on MHD flows in convergent‐divergent channels." International Journal of Numerical Methods for Heat & Fluid Flow 18, no. 6 (2008): 697-707. https://doi.org/10.1108/09615530810885524
Makukula, Z., S. S. Motsa, and P. Sibanda. "On a new solution for the viscoelastic squeezing flow between two parallel plates." Journal of Advanced Research in Applied Mathematics 2, no. 4 (2010): 31-38. https://doi.org/10.5373/jaram.455.060310
Makukula, Zodwa G., Precious Sibanda, and Sandile S. Motsa. "A novel numerical technique for two-dimensional laminar flow between two moving porous walls." Mathematical problems in Engineering 2010 (2010). https://doi.org/10.1155/2010/528956
Narayana, Mahesha, and Precious Sibanda. "On the solution of double-diffusive convective flow due to a cone by a linearization method." Journal of Applied Mathematics 2012 (2012). https://doi.org/10.1155/2012/587357
Shateyi, S., and S. S. Motsa. "Variable viscosity on magnetohydrodynamic fluid flow and heat transfer over an unsteady stretching surface with Hall effect." Boundary Value Problems 2010 (2010): 1-20. https://doi.org/10.1155/2010/257568
Ahmed, Mohammed A. Mohammed, Mohammed E. Mohammed, and Ahmed A. Khidir. "On linearization method to MHD boundary layer convective heat transfer with low pressure gradient." Propulsion and Power Research 4, no. 2 (2015): 105-113. https://doi.org/10.1016/j.jppr.2015.04.001
Khidir, Ahmed A. "Application of Successive Linearisation Method on Mixed Convection Boundary Layer Flow of Nanofluid from an Exponentially Stretching Surface with Magnetic Field Effect." Journal of Nanofluids 12, no. 2 (2023): 465-475. https://doi.org/10.1166/jon.2023.1961
Daoud, Yassir, Mohammed Abdalbagi, and Ahmed A. Khidir. "On the solution of magneto-hydrodynamics three-dimensional flow due to a stretching sheet in a porous medium using the successive linearization method." Chinese Journal of Physics 73 (2021): 232-238. https://doi.org/10.1016/j.cjph.2021.06.011
Salah, F., Alzahrani, A. K., Sidahmed, A. O., & Viswanathan, K. K. "A note on thin-film flow of Eyring-Powell fluid on the vertically moving belt using successive linearization method." International Journal of Advanced and Applied Sciences 6.2 (2019): 17-22. https://doi.org/10.21833/ijaas.2019.02.004
Venkateswarlu, B., and PV Satya Narayana. "Soret and Dufour effects on MHD flow of a Maxwell fluid over s stretching sheet with joule heating." Front Heat Mass Trans 8 (2017): 1-5. https://doi.org/10.5098/hmt.9.11
Hayat, T., S. A. Shehzad, and A. Alsaedi. "Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid." Applied Mathematics and Mechanics 33 (2012): 1301-1312. https://doi.org/10.1007/s10483-012-1623-6
Khan, Sohail A., T. Hayat, and A. Alsaedi. "Simultaneous features of Soret and Dufour in entropy optimized flow of Reiner-Rivlin fluid considering thermal radiation." International Communications in Heat and Mass Transfer 137 (2022): 106297. https://doi.org/10.1016/j.icheatmasstransfer.2022.106297
Khan, Sohail A., T. Hayat, and A. Alsaedi. "Numerical study for entropy optimized radiative unsteady flow of Prandtl liquid." Fuel 319 (2022): 123601. https://doi.org/10.1016/j.fuel.2022.123601
Jawad, Muhammad, Anwar Saeed, Arshad Khan, Ishtiaq Ali, Hussam Alrabaiah, Taza Gul, Ebenezer Bonyah, and Muhammad Zubair. "Analytical study of MHD mixed convection flow for Maxwell nanofluid with variable thermal conductivity and Soret and Dufour effects." AIP Advances 11, no. 3 (2021). https://doi.org/10.1063/5.0029105
Reddy, M. Vinodkumar, Lakshminarayana Pallavarapu, and Kuppalapalle Vajravelu. "Magnetohydrodynamic radiative flow of a Maxwell fluid on an expanding surface with the effects of Dufour and Soret and chemical reaction." Computational Thermal Sciences: An International Journal 12, no. 4 (2020). https://doi.org/10.1615/computthermalscien.2020034147
Hosseinzadeh, Kh, M. R. Mardani, Sajad Salehi, M. Paikar, M. Waqas, and D. D. Ganji. "Entropy generation of three-dimensional Bödewadt flow of water and hexanol base fluid suspended by Fe _ 3 O _ 4 Fe 3 O 4 and MoS _ 2 MoS 2 hybrid nanoparticles." Pramana 95 (2021): 1-14. https://doi.org/10.1007/s12043-020-02075-9
Gholinia, M., SAH Kiaeian Moosavi, M. Pourfallah, S. Gholinia, and D. D. Ganji. "A numerical treatment of the TiO2/C2H6O2–H2O hybrid base nanofluid inside a porous cavity under the impact of shape factor in MHD flow." International Journal of Ambient Energy 42, no. 16 (2021): 1815-1822. https://doi.org/10.1080/01430750.2019.1614996
Doh, Deog-Hee, M. Muthtamilselvan, B. Swathene, and E. Ramya. "Homogeneous and heterogeneous reactions in a nanofluid flow due to a rotating disk of variable thickness using HAM." Mathematics and Computers in Simulation 168 (2020): 90-110. https://doi.org/10.1016/j.matcom.2019.08.005
Dadheech, P. K., P. Agrawal, F. Mebarek-Oudina, N. H. Abu-Hamdeh, and A. Sharma. "Comparative heat transfer analysis of MoS2/C2H6O2 and SiO2-MoS2/C2H6O2 nanofluids with natural convection and inclined magnetic field." Journal of Nanofluids 9, no. 3 (2020): 161-167. https://doi.org/10.1166/jon.2020.1741
Marzougui, Souad, Fateh Mebarek-Oudina, Mourad Magherbi, and Ali Mchirgui. "Entropy generation and heat transport of Cu–water nanoliquid in porous lid-driven cavity through magnetic field." International Journal of Numerical Methods for Heat & Fluid Flow 32, no. 6 (2021): 2047-2069. https://doi.org/10.1108/hff-04-2021-0288
Chabani, Ines, Fateh Mebarek-Oudina, and Abdel Aziz I. Ismail. "MHD flow of a hybrid nano-fluid in a triangular enclosure with zigzags and an elliptic obstacle." Micromachines 13, no. 2 (2022): 224. https://doi.org/10.3390/mi13020224
Wang, Fuzhang, M. Waqas, W. A. Khan, Basim M. Makhdoum, and Sayed M. Eldin. "Cattaneo–Christov heat-mass transfer rheology in third-grade nanoliquid flow confined by stretchable surface subjected to mixed convection." Computational Particle Mechanics (2023): 1-13. https://doi.org/10.1007/s40571-023-00579-w
Pasha, Amjad Ali, Zubair Hussain, Md Mottahir Alam, Navin Kasim, Kashif Irshad, Mehboob Ali, Muhammad Waqas, and Waqar Azeem Khan. "Impact of magnetized non-linear radiative flow on 3D chemically reactive sutterby nanofluid capturing heat sink/source aspects." Case Studies in Thermal Engineering 41 (2023): 102610. https://doi.org/10.1016/j.csite.2022.102610
Nasir, M., M. Waqas, O. A. Bég, H. F. M. Ameen, N. Zamri, K. Guedri, and S. M. Eldin. "Analysis of Nonlinear Convection–Radiation in Chemically Reactive Oldroyd-B Nanoliquid Configured by a Stretching Surface with Robin Conditions: Applications in Nano-Coating Manufacturing. Micromachines 2022, 13, 2196." (2022). https://doi.org/10.3390/mi13122196
Tabrez, Muhammad, Waqar Azeem Khan, Taseer Muhammad, Iftikhar Hussain, and Muhammad Waqas. "Significance of thermo-dynamical moment of ferromagnetic nanoparticles and bioconvection analysis for magnetized Carreau fluid under the influence of gyrotactic moment of microorganisms." Tribology International 186 (2023): 108633. https://doi.org/10.1016/j.triboint.2023.108633
Cortell, Rafael. "A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet." International Journal of Non-Linear Mechanics 41.1 (2006): 78-85.
Salah F. “Numerical solution for heat transfer of Oldroyd-B fluid over a stretching sheet using successive linearization method.” International Journal of Advance and Applied Science, 7.6 (2020): 40-47. https://doi.org/10.21833/ijaas.2020.06.006
Ghadikolaei, S. S., Kh Hosseinzadeh, M. Yassari, H. Sadeghi, and D. D. Ganji. "Analytical and numerical solution of non-Newtonian second-grade fluid flow on a stretching sheet." Thermal Science and Engineering Progress 5 (2018): 309-316. https://doi.org/10.1016/j.tsep.2017.12.010
Makukula, ZodwaG, Precious Sibanda, and SandileSydney Motsa. "A note on the solution of the von Kármán equations using series and Chebyshev spectral methods." Boundary Value Problems 2010 (2010): 1-17. https://doi.org/10.1155/2010/471793
Ahmed, Mohammed A. Mohammed, Mohammed E. Mohammed, and Ahmed A. Khidir. "The effects of cross-diffusion and radiation on mixed convection from a vertical flat plate embedded in a fluid-saturated porous medium in the presence of viscous dissipation." Propulsion and Power Research 5, no. 2 (2016): 149-163. https://doi.org/10.1016/j.jppr.2016.05.001
Sidahmed, Abdelmgid, and Faisal Salah. "Radiation effects on MHD flow of second grade fluid through porous medium past an exponentially stretching sheet with chemical reaction." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 99, no. 2 (2022): 1-16. https://doi.org/10.37934/arfmts.99.2.116
Salah, Faisal, and Mubarak H. Elhafian. "Numerical Solution for Heat Transfer of Non-Newtonian Second-Grade Fluid Flow over Stretching Sheet via Successive Linearization Method." IAENG International Journal of Applied Mathematics 49, no. 4 (2019).
Hussaini, M. Y., & Zang, T. A. "Spectral methods in fluid dynamics." Annual review of fluid mechanics, 19.1, (1987): 339-367.
