The Soret-Dufour Effects on Three-Dimensional Magnetohydrodynamics Newtonian Fluid Flow over an Inclined Plane

Authors

  • Siti Suzilliana Putri Mohamed Isa Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia
  • Hazirah Mohd Azmi Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia
  • Nanthini Balakrishnan Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia
  • Aina Suhaiza Mohamad Nazir Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia.43400 UPM Serdang, Selangor Darul Ehsan, Malaysia
  • Kartini Ahmad Department of Science in Engineering, Kulliyah of Engineering, International Islamic University Malaysia, 50728 Gombak, Kuala Lumpur, Malaysia
  • Nurul Syuhada Ismail Centre for Pre – University Studies, Universiti Malaysia Sarawak, 94300, Kota Samarahan, Sarawak, Malaysia
  • Norihan Md. Arifin Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia
  • Haliza Rosali Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

DOI:

https://doi.org/10.37934/cfdl.16.9.3951

Keywords:

Soret-Dufour, magnetohydrodynamics, Newtonian fluid, 3D model, Matlab bvp4c

Abstract

The three-dimensional (3D) model of the fluid flow model with length, breadth, and height or depth is the advanced and precise version from the two-dimensional (2D) model which just lies on a flat surface. The heat transfer in the boundary layer flow have numerous applications in the production of polymer, plastic films, and paper production. Therefore, this paper solves 3D magnetohydrodynamics Newtonian fluid flow model with the effect of Soret-Dufour parameters. Compared with the previous report where the 3D model is without the inclination angle (all the axes are located at their fixed position), this paper considers the boundary xy-plane being projected by a certain angle from the z-axis. The initial partial differential equations (PDEs) are subsequently reduced to ordinary differential equations (ODEs). The MATLAB bvp4c program is chosen to solve the ODEs and the results velocity profile, temperature profile, concentration profile, skin friction coefficient, local Nusselt number, and local Sherwood number. It can be inferred that the magnetic parameter is responsible to the decrement of the velocity profile and skin frictions coefficient. The enhancement of the temperature and the local Sherwood number are caused by the Dufour number. Besides, concentration and the local Nusselt number are enhancing due to the increasing Soret number.

Author Biography

Siti Suzilliana Putri Mohamed Isa, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

ctsuzilliana@upm.edu.my

References

Ahmad, Shafiq, Hasan Huseyin Coban, Muhammad Naveed Khan, Umair Khan, Qiu-Hong Shi, Taseer Muhammad, Ronnason Chinram, and Seifedine Kadry. "Computational analysis of the unsteady 3D chemically reacting MHD flow with the properties of temperature dependent transpose suspended Maxwell nanofluid." Case Studies in Thermal Engineering 26 (2021): 101169. https://doi.org/10.1016/j.csite.2021.101169

Odesola, A. S., I. O. Abiala, M. G. Sobamowo, and O. J. Fenuga. "Transient three-dimensional magnetohydrodynamic flow of heat and mass transfer of a Casson nanofluid past a stretching sheet with non-uniform heat source/sink, thermal radiation and chemical reaction." Journal of Engineering and Thermal Sciences 2, no. 2 (2022): 100-113. https://doi.org/10.21595/jets.2022.22815

Parvin, S., S. S. P. M. Isa, and S. K. Soid. "THREE-DIMENSIONAL MODEL OF DOUBLE DIFFUSIVE MAGNETOHYDRODYNAMIC NEWTONIAN FLUID FLOW." Magnetohydrodynamics (0024-998X) 57, no. 3 (2021). https://doi.org/10.22364/mhd.57.3.6

Nagalakshmi, P. S. S., N. Vijaya, and Shaik Mohammed Ibrahim. "Entropy Generation of Three-Dimensional Williamson Nanofluid Flow Explored with Hybrid Carbon Nanotubes over a Stretching Sheet." CFD Letters 15, no. 7 (2023): 112-130. https://doi.org/10.37934/cfdl.15.7.112130

Teh, Yuan Ying, and Adnan Ashgar. "Three dimensional MHD hybrid nanofluid Flow with rotating stretching/shrinking sheet and Joule heating." CFD Letters 13, no. 8 (2021): 1-19. https://doi.org/10.37934/cfdl.13.8.119

Teh, Yuan Ying, and Adnan Ashgar. "Three dimensional MHD hybrid nanofluid Flow with rotating stretching/shrinking sheet and Joule heating." CFD Letters 13, no. 8 (2021): 1-19. https://doi.org/10.37934/cfdl.13.8.119

Hussain, Azad, Mubashar Arshad, Aysha Rehman, Ali Hassan, S. K. Elagan, Hijaz Ahmad, and Amira Ishan. "Three-dimensional water-based magneto-hydrodynamic rotating nanofluid flow over a linear extending sheet and heat transport analysis: A numerical approach." Energies 14, no. 16 (2021): 5133. https://doi.org/10.3390/en14165133

Ilias, Mohd Rijal, Nur Sa’aidah Ismail, Nurul Hidayah AbRaji, Noraihan Afiqah Rawi, and Sharidan Shafie. "Unsteady aligned MHD boundary layer flow and heat transfer of a magnetic nanofluids past an inclined plate." International Journal of Mechanical Engineering and Robotics Research 9, no. 2 (2020): 197-206.

Raza, Ali, Umair Khan, Zehba Raizah, Sayed M. Eldin, Abeer M. Alotaibi, Samia Elattar, and Ahmed M. Abed. "Numerical and computational analysis of magnetohydrodynamics over an inclined plate induced by nanofluid with Newtonian heating via fractional approach." Symmetry 14, no. 11 (2022): 2412. https://doi.org/10.3390/sym14112412

Osman, Husna Izzati, Nur Fatihah Mod Omar, Dumitru Vieru, and Zulkhibri Ismail. "A Study of MHD Free Convection Flow Past an Infinite Inclined Plate." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 92, no. 1 (2022): 18-27. https://doi.org/10.37934/arfmts.92.1.1827

Kaushik, Preeti, and Upendra Mishra. "Numerical solution of free stream MHD flow with the effect of velocity slip condition from an inclined porous plate." J. Math. Comput. Sci. 12 (2021): Article-ID. https://doi.org/10.28919/jmcs/6913

Sulochana, Chalavadi, Sultana Begum, and Tirumala Prasanna Kumar. "MHD Mixed Convective Non-Newtonian Stagnation Point Flow Over an Inclined Stretching Sheet: Numerical Simulation." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 102, no. 1 (2023): 73-84. https://doi.org/10.37934/arfmts.102.1.7384

Begum, Tahera, Geetan Manchanda, Arshad Khan, and Naseem Ahmad. "On numerical solution of boundary layer flow of viscous incompressible fluid past an inclined stretching sheet in porous medium and heat transfer using spline technique." MethodsX 10 (2023): 102035. https://doi.org/10.1016/j.mex.2023.102035

Rehman, M. Israr Ur, Haibo Chen, Aamir Hamid, Sajid Qayyum, Wasim Jamshed, Zehba Raizah, Mohamed R. Eid, and El Sayed M. Tag El Din. "Soret and Dufour influences on forced convection of Cross radiative nanofluid flowing via a thin movable needle." Scientific Reports 12, no. 1 (2022): 18666. https://doi.org/10.1038/s41598-022-23563-5

Parvin, Shahanaz, Siti Suzilliana Putri Mohamed Isa, Norihan Md Arifin, and Fadzilah Md Ali. "The inclined factors of magnetic field and shrinking sheet in Casson fluid flow, heat and mass transfer." Symmetry 13, no. 3 (2021): 373. https://doi.org/10.3390/sym13030373

Rafique, Khuram, Muhammad Imran Anwar, Masnita Misiran, Ilyas Khan, Asiful H. Seikh, El-Sayed M. Sherif, and Kottakkaran Sooppy Nisar. "Brownian motion and thermophoretic diffusion effects on micropolar type nanofluid flow with Soret and Dufour impacts over an inclined sheet: Keller-box simulations." Energies 12, no. 21 (2019): 4191. https://doi.org/10.3390/en12214191

Idowu, A. S., and B. O. Falodun. "Effects of thermophoresis, Soret-Dufour on heat and mass transfer flow of magnetohydrodynamics non-Newtonian nanofluid over an inclined plate." Arab Journal of Basic and Applied Sciences 27, no. 1 (2020): 149-165. https://doi.org/10.1080/25765299.2020.1746017

Parvin, Shahanaz, Siti Suzilliana Putri Mohamed Isa, Wasim Jamshed, Rabha W. Ibrahim, and Kottakkaran Sooppy Nisar. "Numerical treatment of 2D-Magneto double-diffusive convection flow of a Maxwell nanofluid: Heat transport case study." Case Studies in Thermal Engineering 28 (2021): 101383. https://doi.org/10.1016/j.csite.2021.101383

Parvin, Shahanaz, Siti Suzilliana Putri Mohamed Isa, Fuad S. Al-Duais, Syed M. Hussain, Wasim Jamshed, Rabia Safdar, and Mohamed R. Eid. "The flow, thermal and mass properties of Soret-Dufour model of magnetized Maxwell nanofluid flow over a shrinkage inclined surface." PLoS One 17, no. 4 (2022): e0267148. https://doi.org/10.1371/journal. pone.0267148

Venkateswarlu, M., P. Bhaskar, and D. Venkata Lakshmi. "Soret and Dufour effects on radiative hydromagnetic flow of a chemically reacting fluid over an exponentially accelerated inclined porous plate in presence of heat absorption and viscous dissipation." Journal of the Korean Society for Industrial and Applied Mathematics 23, no. 3 (2019): 157-178. http://doi.org/10.12941/jksiam.2019.23.157

Shukla, A. K., and Shubham Kumar Dube. "Numerical simulation of changes in Soret-Dufour number, Radiation, chemical reaction and viscous dissipation on unsteady MHD flow past an inclined porous plate embedded in porous medium with heat generation or absorption." (2022).

Huang, J. S. "Chemical reaction and activation energy on heat and mass transfer for convective flow along an inclined surface in Darcy porous medium with Soret and Dufour effects." Journal of Mechanics 39 (2023): 88-104. https://doi.org/10.1093/jom/ufad006

Najib, Najwa, Norfifah Bachok, Norihan Md Arifin, and Fadzilah Md Ali. "Stability analysis of stagnation-point flow in a nanofluid over a stretching/shrinking sheet with second-order slip, soret and dufour effects: A revised model." Applied Sciences 8, no. 4 (2018): 642. https://doi.org/10.3390/app8040642

Sekhar, P. Raja, S. Sreedhar, S. Mohammed Ibrahim, and P. Vijaya Kumar. "Radiative Heat Source Fluid Flow of MHD Casson Nanofluid over A Non-Linear Inclined Surface with Soret and Dufour Effects." CFD Letters 15, no. 7 (2023): 42-60. https://doi.org/10.37934/cfdl.15.7.4260

Salleh, Siti Nur Alwani, Norfifah Bachok, Norihan Md Arifin, and Fadzilah Md Ali. "Influence of Soret and Dufour on forced convection flow towards a moving thin needle considering Buongiorno’s nanofluid model." Alexandria engineering journal 59, no. 5 (2020): 3897-3906. https://doi.org/10.1016/j.aej.2020.06.045

Najib, Najwa, and Norfifah Bachok. "Boundary layer flow, heat and mass transfer of cu-water nanofluid over a moving plate with soret and dufour effects: Stability analysis." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 82, no. 1 (2021): 96-104. https://doi.org/10.37934/arfmts.82.1.96104

Sarfraz, Mahnoor, and Masood Khan. "Thermodynamic irreversibility analysis of water conveying argentum and titania nanoparticles subject to inclined stretching surface." Physica Scripta 98, no. 2 (2023): 025205. https://doi.org/10.1088/1402-4896/acab92

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

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Published

2024-04-30

How to Cite

Siti Suzilliana Putri Mohamed Isa, Hazirah Mohd Azmi, Nanthini Balakrishnan, Aina Suhaiza Mohamad Nazir, Kartini Ahmad, Nurul Syuhada Ismail, Norihan Md. Arifin, & Haliza Rosali. (2024). The Soret-Dufour Effects on Three-Dimensional Magnetohydrodynamics Newtonian Fluid Flow over an Inclined Plane. CFD Letters, 16(9), 39–51. https://doi.org/10.37934/cfdl.16.9.3951

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