The Velocity, Temperature and Concentration Profiles for Triple Diffusive Casson Fluid Flow Subjected to the Soret-Dufour Parameters
DOI:
https://doi.org/10.37934/cfdl.16.3.1527Keywords:
Triple diffusive, Casson fluid, Soret-DufourAbstract
The triple-diffusive convection with the involvement of non-Newtonian fluid has many applications in the science and technology field, industrial processes, and also in research works. Therefore, the mathematical model of the triple-diffusive convection of Casson fluid by the mathematical approach is investigated. In addition, a mathematical model for the triple-diffusive convection of Casson fluid flow beyond a nonlinear compressing sheet has been formulated and solved by numerical approach, where this is the main objective of this study. This model is subjected to mass transfer and heat transfer, known as Soret and Dufour effect (Soret-Dufour). The Soret effect is occurred when the temperature gradient is produced, whereas the differences in mass cause the Dufour effect. The model is formed by the continuity equation, momentum equation, energy equation, and concentration equations of component 1 and 2, together with the boundary conditions. They have been reduced to ordinary differential equations, and subsequently, they have been implemented in bvp4c programme provided by MATLAB software to get the numerical solutions. The solutions obtained were profiles of velocity, temperature and concentration of both components. Next, the effect of Casson parameter, Soret parameter, and Dufour parameter have been investigated by changing their values of inside the coding in MATLAB and observing the behaviour of the related profiles due to these parameters. The main results from this study were: The velocity of the Casson fluid reduced as the Casson parameter enhanced, increment in both Soret and Dufour parameters caused the temperature to decrease, and the fluid concentration was higher for the increasing Soret number.
Downloads
References
Pramanik, S. "Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation." Ain Shams Engineering Journal 5, no. 1 (2014): 205-212. https://doi.org/10.1016/j.asej.2013.05.003
Satya Narayana, P. V., and B. Venkateswarlu. "Influence Of Variable Thermal Conductivity on Mhd Casson Fluid Flow Over a Stretching Sheet with Viscous Dissipation, Soret and Dufour Effects." Frontiers in Heat and Mass Transfer (FHMT) 7, no. 1 (2016). https://doi.org/10.5098/hmt.7.16
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
Nadeem, Sohail, Rizwan Ul Haq, Noreen Sher Akbar, and Zafar Hayat Khan. "MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet." Alexandria Engineering Journal 52, no. 4 (2013): 577-582. https://doi.org/10.1016/j.aej.2013.08.005
Animasaun, I. L., E. A. Adebile, and A. I. Fagbade. "Casson fluid flow with variable thermo-physical property along exponentially stretching sheet with suction and exponentially decaying internal heat generation using the homotopy analysis method." Journal of the Nigerian Mathematical Society 35, no. 1 (2016): 1-17. https://doi.org/10.1016/j.jnnms.2015.02.001
Bhattacharyya, Krishnendu. "MHD stagnation-point flow of Casson fluid and heat transfer over a stretching sheet with thermal radiation." Journal of thermodynamics 2013 (2013): 1-9. https://doi.org/10.1155/2013/169674
Farooq, Umer, M. Ahsan Ijaz, M. Ijaz Khan, Siti Suzillianaa Putri Mohamed Isa, and Dian Chen Lu. "Modeling and non-similar analysis for Darcy-Forchheimer-Brinkman model of Casson fluid in a porous media." International Communications in Heat and Mass Transfer 119 (2020): 104955. https://doi.org/10.1016/j.icheatmasstransfer.2020.104955
Parvin, Shahanaz, Siti Suzilliana Putri Mohamed Isa, Norihan Md Arifin, and Fadzilah Md Ali. "The magnetohydrodynamics Casson fluid flow, heat and mass transfer due to the presence of assisting flow and buoyancy ratio parameters." CFD Letters 12, no. 8 (2020): 64-75.
Parvin, S., N. Balakrishnan, and S. S. P. M. Isa. "MHD Casson Fluid Flow Under the Temperature and Concentration Gradients." Magnetohydrodynamics (0024-998X) 57, no. 3 (2021). https://doi.org/10.22364/mhd.57.3.5
Ahmad, K., S. S. P. M. Isa, Z. Wahid, and Z. Hanouf. "The Impact of Newtonian Heating on Magnetic Casson Nanofluid Flow with Variable Consistency Over a Variable Surface Thickness." Magnetohydrodynamics (0024-998X) 57, no. 3 (2021). https://doi.org/10.22364/mhd.57.3.1
Al Oweidi, Khalid Fanoukh, Wasim Jamshed, B. Shankar Goud, Imran Ullah, Usman, Siti Suzilliana Putri Mohamed Isa, Sayed M. El Din, Kamel Guedri, and Refed Adnan Jaleel. "Partial differential equations modeling of thermal transportation in Casson nanofluid flow with arrhenius activation energy and irreversibility processes." Scientific Reports 12, no. 1 (2022): 20597. https://doi.org/10.1038/s41598-022-25010-x
Yusof, Nur Syamila, Siti Khuzaimah Soid, Mohd Rijal Illias, Ahmad Sukri Abd Aziz, and Nor Ain Azeany Mohd Nasir. "Radiative Boundary Layer Flow of Casson Fluid Over an Exponentially Permeable Slippery Riga Plate with Viscous Dissipation." Journal of Advanced Research in Applied Sciences and Engineering Technology 21, no. 1 (2020): 41-51. https://doi.org/10.37934/araset.21.1.4151
Kamis, Nur Ilyana, Noraihan Afiqah Rawi, Lim Yeou Jiann, Sharidan Shafie, and Mohd Rijal Ilias. "Thermal Characteristics of an Unsteady Hybrid Nano-Casson Fluid Passing Through a Stretching Thin-Film with Mass Transition." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 104, no. 2 (2023): 36-50. https://doi.org/10.37934/arfmts.104.2.3650
Thirupathi, Gurrala, Kamatam Govardhan, and Ganji Narender. "Radiative magnetohydrodynamics Casson nanofluid flow and heat and mass transfer past on nonlinear stretching surface." Journal of Advanced Research in Numerical Heat Transfer 6, no. 1 (2021): 1-21.
Roşca, Natalia C., Alin V. Roşca, and Ioan Pop. "Lie group symmetry method for MHD double-diffusive convection from a permeable vertical stretching/shrinking sheet." Computers & mathematics with applications 71, no. 8 (2016): 1679-1693. https://doi.org/10.1016/j.camwa.2016.03.006
Patil, P. M., S. Roy, R. J. Moitsheki, and E. Momoniat. "Double diffusive flows over a stretching sheet of variable thickness with or without surface mass transfer." Heat Transfer—Asian Research 46, no. 8 (2017): 1087-1103. https://doi.org/10.1002/htj.21261
Parvin, Shahanaz, Siti Suzilliana Putri Mohamed Isa, Norihan Md Arifin, and Fadzilah Md Ali. "Soret and Dufour effects on magneto-hydrodynamics Newtonian fluid flow beyond a stretching/shrinking sheet." CFD Letters 12, no. 8 (2020): 85-97. https://doi.org/10.37934/cfdl.12.8.8597
Azmi, Hazirah Mohd, Siti Suzilliana Putri Mohamed Isa, and Norihan Md Arifin. "The boundary layer flow, heat and mass transfer beyond an exponentially stretching/shrinking inclined sheet." CFD Letters 12, no. 8 (2020): 98-107. https://doi.org/10.37934/cfdl.12.8.98107
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
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
Patil, Prabhugouda Mallanagouda, and P. S. Hiremath. "Analysis of unsteady mixed convection triple diffusive transport phenomena." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 2 (2019): 773-789. https://doi.org/10.1108/HFF-04-2018-0134
Rionero, Salvatore. "Triple diffusive convection in porous media." Acta Mechanica 224, no. 2 (2013): 447-458. https://doi.org/10.1007/s00707-012-0749-2
Goyal, Mania, and Rama Bhargava. "Numerical study of thermodiffusion effects on boundary layer flow of nanofluids over a power law stretching sheet." Microfluidics and nanofluidics 17 (2014): 591-604. https://doi.org/10.1007/s10404-013-1326-2
Archana, Manjappa, Bijjanal Jayanna Gireesha, and Ballajja Chandrappa Prasannakumara. "Triple diffusive flow of Casson nanofluid with buoyancy forces and nonlinear thermal radiation over a horizontal plate." Archives of Thermodynamics 40, no. 1 (2019): 49-69.
Khan, Shahid, Mahmoud M. Selim, Aziz Khan, Asad Ullah, Thabet Abdeljawad, Ikramullah, Muhammad Ayaz, and Wali Khan Mashwani. "On the analysis of the non-Newtonian fluid flow past a stretching/shrinking permeable surface with heat and mass transfer." Coatings 11, no. 5 (2021): 566. https://doi.org/10.3390/coatings11050566
Pop, Ioan, Siti Suzilliana Putri Mohamed Isa, Norihan M. Arifin, Roslinda Nazar, Norfifah Bachok, and Fadzilah M. Ali. "Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 8 (2016): 2370-2392. https://doi.org/10.1108/HFF-07-2015-0301
Isa, S. S. P. M., N. M. Arifin, R. Nazar, N. Bachok, F. M. Ali, and I. Pop. "MHD mixed convection boundary layer flow of a Casson fluid bounded by permeable shrinking sheet with exponential variation." Scientia Iranica 24, no. 2 (2017): 637-647. https://doi.org/10.24200/sci.2017.4048