MHD Slip Flow of Upper-Convected Casson and Maxwell Nanofluid over a Porous Stretched Sheet: Impacts of Heat and Mass Transfer
DOI:
https://doi.org/10.37934/cfdl.16.3.96111Keywords:
Casson fluid parameter, Upper-convected Maxwell fluid, Nano fluid, chemical reaction parameter, MHD, Slip EffectsAbstract
The significance of this study lies in the exploration of the effects of thermal radiation and convective boundaries on magnetohydrodynamic slip flow over a nonlinear porous stretching surface. Applications range from aiding heat transfer enhancement in electronic devices and renewable energy systems to facilitating understanding in magnetic confinement fusion research and liquid metal cooling systems. The primary goal of this study is to determine how thermal radiation and convective boundaries affect the upper Maxwell Casson convected nanofluid boundary layer flow's magnetohydrodynamic slip flow over a nonlinear porous stretching surface. From the controlling PDEs, nonlinear ODEs are obtained by applying compatible similarity transformations. The quantities related to scientific and engineering concepts, such as skin friction, Sherwood number, and heat exchange, as well as other effects on momentum, temperature, and material concentration, are shown and explained in diagrams. The numerical solution of the current study and the shooting technique is achieved using the Runge-Kutta Fehelberg method. According to the results, increasing the magnetic field causes a decrease in velocity profiles. Additionally, as the velocity slip parameter increases, the local Nusselt number and the local Sherwood number fall.
References
Raju, C. S. K., N. Sandeep, V. Sugunamma, M. Jayachandra Babu, and JV Ramana Reddy. "Heat and mass transfer in magnetohydrodynamic Casson fluid over an exponentially permeable stretching surface." Engineering Science and Technology, an International Journal 19, no. 1 (2016): 45-52. https://doi.org/10.1016/j.jestch.2015.05.010
Raju, C. S. K., N. Sandeep, and S. Saleem. "Effects of induced magnetic field and homogeneous–heterogeneous reactions on stagnation flow of a Casson fluid." Engineering Science and Technology, an International Journal 19, no. 2 (2016): 875-887. https://doi.org/10.1016/j.jestch.2015.12.004
Raju, C. S. K., and N. Sandeep. "Unsteady Casson nanofluid flow over a rotating cone in a rotating frame filled with ferrous nanoparticles: a numerical study." Journal of Magnetism and Magnetic Materials 421 (2017): 216-224. https://doi.org/10.1016/j.jmmm.2016.08.013
Vyakaranam, Seethamahalakshmi Vyakaranam, Bindu Pathuri, Venkata Ramana Reddy Gurrampati, and Abayomi Samuel Oke. "Flow of Casson Nanofluid Past a Permeable Surface: Effects of Brownian Motion, Thermophoretic Diffusion and Lorenz force." CFD Letters 14, no. 12 (2022): 111125-111125. https://doi.org/10.37934/cfdl.14.12.111125
Kumaran, G., N. Sandeep, and I. L. Animasaun. "Computational modeling of magnetohydrodynamic non-Newtonian fluid flow past a paraboloid of revolution." Alexandria engineering journal 57, no. 3 (2018): 1859-1865. https://doi.org/10.1016/j.aej.2017.03.019
Sobamowo, Gbeminiyi, O. A. Adesina, and Lawrence Jayesimi. "Magnetohydrodynamic flow of dissipative casson-carreau nanofluid over a stretching sheet embedded in a porous medium under the influence of thermal radiation and variable internal heat generation." Engineering and Applied Science Letters 2, no. 2 (2019): 18-36. https://doi.org/10.30538/psrp-easl2019.0018
Santhosh, H. B., Mahesha, and C. S. K. Raju. "Unsteady Carreau-Casson fluids over a radiated shrinking sheet in a suspension of dust and graphene nanoparticles with non-Fourier heat flux." Nonlinear Engineering 8, no. 1 (2019): 419-428. https://doi.org/10.1515/nleng-2017-0158
Naga Santoshi, P., G. V. Ramana Reddy, and P. Padma. "Numerical scrutinization of three dimensional Casson-Carreau nano fluid flow." Journal of Applied and Computational Mechanics 6, no. 3 (2020): 531-542.
Oke, Abayomi Samuel. "Heat and mass transfer in 3D MHD flow of EG-based ternary hybrid nanofluid over a rotating surface." Arabian Journal for Science and Engineering 47, no. 12 (2022): 16015-16031.
Juma, Belindar A., Abayomi S. Oke, Winifred N. Mutuku, Afolabi G. Ariwayo, and Olum J. Ouru. "Dynamics of Williamson fluid over an inclined surface subject to Coriolis and Lorentz forces." Engineering and Applied Science Letter 5, no. 1 (2022): 37-46.
Oke, Abayomi Samuel. "Combined effects of Coriolis force and nanoparticle properties on the dynamics of gold–water nanofluid across nonuniform surface." ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik 102, no. 9 (2022): e202100113. https://doi.org/10.1002/zamm.202100113
Ali, Bagh, N. Ameer Ahammad, Aziz Ullah Awan, Abayomi S. Oke, ElSayed M. Tag-ElDin, Farooq Ahmed Shah, and Sonia Majeed. "The dynamics of water-based nanofluid subject to the nanoparticle’s radius with a significant magnetic field: The case of rotating micropolar fluid." Sustainability 14, no. 17 (2022): 10474. https://doi.org/10.3390/su141710474
Madhu, Macha, and Naikoti Kishan. "Finite element analysis of MHD viscoelastic nanofluid flow over a stretching sheet with radiation." Procedia Engineering 127 (2015): 432-439. https://doi.org/10.1016/j.proeng.2015.11.393
Madhu, Macha, Naikoti Kishan, and A. Chamkha. "Boundary layer flow and heat transfer of a non-Newtonian nanofluid over a non-linearly stretching sheet." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 7 (2016): 2198-2217. https://doi.org/10.1108/HFF-02-2015-0066
Babu, M. Jayachandra, and N. Sandeep. "MHD non-Newtonian fluid flow over a slendering stretching sheet in the presence of cross-diffusion effects." Alexandria Engineering Journal 55, no. 3 (2016): 2193-2201. https://doi.org/10.1016/j.aej.2016.06.009
Reddy, JV Ramana, K. Anantha Kumar, V. Sugunamma, and N. Sandeep. "Effect of cross diffusion on MHD non-Newtonian fluids flow past a stretching sheet with non-uniform heat source/sink: A comparative study." Alexandria engineering journal 57, no. 3 (2018): 1829-1838. https://doi.org/10.1016/j.aej.2017.03.008
Oke, A. S., B. C. Prasannakumara, W. N. Mutuku, RJ Punith Gowda, B. A. Juma, R. Naveen Kumar, and O. I. Bada. "Exploration of the effects of Coriolis force and thermal radiation on water-based hybrid nanofluid flow over an exponentially stretching plate." Scientific Reports 12, no. 1 (2022): 21733. https://doi.org/10.1038/s41598-022-21799-9
Oke, A. S. "Coriolis effects on MHD flow of MEP fluid over a non-uniform surface in the presence of thermal radiation." International Communications in Heat and Mass Transfer 129 (2021): 105695. https://doi.org/10.1016/j.icheatmasstransfer.2021.105695
Oke, A. S. "Theoretical analysis of modified eyring powell fluid flow." Journal of the Taiwan Institute of Chemical Engineers 132 (2022): 104152. https://doi.org/10.1016/j.jtice.2021.11.019
Imran, M. A., M. B. Riaz, N. A. Shah, and A. A. Zafar. "Boundary layer flow of MHD generalized Maxwell fluid over an exponentially accelerated infinite vertical surface with slip and Newtonian heating at the boundary." Results in physics 8 (2018): 1061-1067. https://doi.org/10.1016/j.rinp.2018.01.036
Oke, Abayomi S., Temitope Eyinla, and Belindar A. Juma. "Effect of Coriolis Force on Modified Eyring Powell Fluid flow." Journal of Engineering Research and Reports 24, no. 4 (2023): 26-34. https://doi.org/10.9734/jerr/2023/v24i4811
Elbashbeshy, E. M. A. R., Khaled Mohamed Abdelgaber, and Hamada Galal Asker. "Heat and mass transfer of a Maxwell nanofluid over a stretching surface with variable thickness embedded in porous medium." International Journal of Mathematics and Computational Science 4, no. 3 (2018): 86-98.
Rahbari, Alireza, Morteza Abbasi, Iman Rahimipetroudi, Bengt Sundén, Davood Domiri Ganji, and Mehdi Gholami. "Heat transfer and MHD flow of non-newtonian Maxwell fluid through a parallel plate channel: analytical and numerical solution." Mechanical Sciences 9, no. 1 (2018): 61-70. https://doi.org/10.5194/ms-9-61-2018
Ghaffari, Abuzar, Tariq Javed, and Fotini Labropulu. "Oblique stagnation point flow of a non-Newtonian nanofluid over stretching surface with radiation: a numerical study." Thermal Science 21, no. 5 (2017): 2139-2153. https://doi.org/10.2298/TSCI150411163G
Yasin, Abdela, Shankar Bandari, and T. Srinivasulu. "Numerical solution of stagnation point flows of nano fluid due to an inclined stretching sheet." Int J Comput Eng Res 8, no. 2 (2018): 2250-3005.
Manjula, D., and K. Jayalakshmi. "Slip effects on unsteady MHD and heat transfer flow over a stretching sheet embedded with suction in a porous medium filled with a Jeffrey fluid." Int J Res 7, no. 8 (2018): 609-623.
El-Aziz, Abd, and Ahmed A. Afify. "Influences of slip velocity and induced magnetic field on MHD stagnation-point flow and heat transfer of Casson fluid over a stretching sheet." Mathematical Problems in Engineering 2018 (2018). https://doi.org/10.1155/2018/9402836
Ibrahim, S. M., G. Lorenzini, P. Vijaya Kumar, and C. S. K. Raju. "Influence of chemical reaction and heat source on dissipative MHD mixed convection flow of a Casson nanofluid over a nonlinear permeable stretching sheet." International Journal of Heat and Mass Transfer 111 (2017): 346-355. https://doi.org/10.1016/j.ijheatmasstransfer.2017.03.097
Sreedevi, Gandluru, D. R. V. Rao, Oluwole Daniel Makinde, and G. Reddy. "Soret and Dufour effects on MHD flow with heat and mass transfer past a permeable stretching sheet in presence of thermal radiation." (2017).
Dharmaiah, G., N. Vedavathi, K. S. Balamurugan, and J. Prakash. "Heat transfer on mhd nanofluid flow over a semi infinite flat plate embedded in a porous medium with radiation absorption, heat source and diffusion thermo effect." Frontiers in Heat and Mass Transfer (FHMT) 9, no. 1 (2017). https://doi.org/10.5098/hmt.9.38
Dhanalakshmi, M., K. J. Reddy, and K. Ramakrishna. "Chemical reaction and soret effects on radiating MHD boundary layer flow over a moving vertical porous plate with heat source." Journal of Advanced Research in Dynamical and Control Systems 9 (2017): 2155-2166.
Hymavathi, T., and W. Sridhar. "Numerical study of flow and heat transfer of casson fluid over an exponentially porous stretching surface in presence of thermal radiation." International Journal Of Mechanical And Production Engineering Research And Development 8, no. 4 (2018): 1145-54. https://doi.org/10.24247/ijmperdaug2018118
Hari Krishna, Y., Gurrampati Venkata Ramana Reddy, and Oluwole Daniel Makinde. "Chemical reaction effect on MHD flow of casson fluid with porous stretching sheet." In Defect and Diffusion Forum, vol. 389, pp. 100-109. Trans Tech Publications Ltd, 2018. https://doi.org/10.4028/www.scientific.net/DDF.389.100
Kumari, P. R., and D. Sree Devi. "Effect of radiation and radiation absorption on convective heat and mass transfer flow of a viscous electrically conducting fluid in a non-uniformly heated vertical channel." International Journal of Mechanical and Production Engineering Research and Development 8, no. Special Issue 7 (2018): 1382-1390.
Kọríkọ, O. K., K. S. Adegbie, A. S. Oke, and I. L. Animasaun. "Exploration of Coriolis force on motion of air over the upper horizontal surface of a paraboloid of revolution." Physica Scripta 95, no. 3 (2020): 035210. https://doi.org/10.1088/1402-4896/ab4c50
Juma, Belindar A., Abayomi S. Oke, Afolabi G. Ariwayo, and J. Ouru Olum. "Theoretical Analysis of MHD Williamson Flow Across a Rotating Inclined Surface." Applied Mathematics and Computational Intelligence 11: 133-145.
Animasaun, I. L., A. S. Oke, Qasem M. Al-Mdallal, and A. M. Zidan. "Exploration of water conveying carbon nanotubes, graphene, and copper nanoparticles on impermeable stagnant and moveable walls experiencing variable temperature: thermal analysis." Journal of Thermal Analysis and Calorimetry 148, no. 10 (2023): 4513-4522. https://doi.org/10.1007/s10973-023-11997-6
Areekara, Sujesh, A. S. Sabu, Alphonsa Mathew, and A. S. Oke. "Transport phenomena in Darcy-Forchheimer flow over a rotating disk with magnetic field and multiple slip effects: modified Buongiorno nanofluid model." Waves in Random and Complex Media (2023): 1-20. https://doi.org/10.1080/17455030.2023.2198611
Ali, Bagh, N. Ameer Ahammad, Windarto, Abayomi S. Oke, Nehad Ali Shah, and Jae Dong Chung. "Significance of Tiny Particles of Dust and TiO2 Subject to Lorentz Force: The Case of Non-Newtonian Dusty Rotating Fluid." Mathematics 11, no. 4 (2023): 877. https://doi.org/10.3390/math11040877
Oke, A. S., B. C. Prasannakumara, W. N. Mutuku, RJ Punith Gowda, B. A. Juma, R. Naveen Kumar, and O. I. Bada. "Exploration of the effects of Coriolis force and thermal radiation on water-based hybrid nanofluid flow over an exponentially stretching plate." Scientific Reports 12, no. 1 (2022): 21733. https://doi.org/10.1038/s41598-022-21799-9
Reddy, G. V. R., and Y. Hari Krishna. "Soret and dufour effects on MHD micropolar fluid flow over a linearly stretching sheet, through a non-darcy porous medium." International Journal of Applied Mechanics and Engineering 23, no. 2 (2018): 485-502. https://doi.org/10.2478/ijame-2018-0028
Arundhati, V., K. V. Chandra Sekhar, D. R. V. Prasada Rao, and G. Sreedevi. "Non-darcy convective heat and mass transfer flow through a porous medium in vertical channel with soret, dufour and chemical reaction effects." JP Journal of Heat and Mass Transfer 15, no. 2 (2018): 213-240. https://doi.org/10.17654/HM015020213
Sekhar, KV Chandra. "Heat Transfer Analysis of Second Grade Fluid Over a Stretching Sheet Through Porous Medium Under the Influence of Chemical Reaction Parameter." International Journal of Mechanical and Production Engineering Research and Development (IJMPERD) I 8, no. 1 (2018): 605-612. https://doi.org/10.24247/ijmperdfeb201867
Suneetha, K., S. M. Ibrahim, and GV Ramana Reddy. "Radiation and heat source effects on MHD flow over a permeable stretching sheet through porous stratum with chemical reaction." Multidiscipline Modeling in Materials and Structures 14, no. 5 (2018): 1101-1114. https://doi.org/10.1108/MMMS-12-2017-0159
Rani, K. Sandhya, G. Venkata Ramana Reddy, and Abayomi Samuel Oke. "Significance of Cattaneo-Christov Heat Flux on Chemically Reacting Nanofluids Flow Past a Stretching Sheet with Joule Heating Effect." CFD Letters 15, no. 7 (2023): 31-41. https://doi.org/10.37934/cfdl.15.7.3141
Ittedi, Shravani, Dodda Ramya, and Sucharitha Joga. "MHD heat transfer of nanofluids over a stretching sheet with slip effects and chemical reaction." Int. J. Latest Eng. Res. Appl 2, no. 08 (2017): 10-20.
Ibrahim, Wubshet, and Mekonnen Negera. "MHD slip flow of upper-convected Maxwell nanofluid over a stretching sheet with chemical reaction." Journal of the Egyptian Mathematical Society 28, no. 1 (2020): 7. https://doi.org/10.1186/s42787-019-0057-2
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
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.
Oke, A. S. "Convergence of differential transform method for ordinary differential equations." Journal of Advances in Mathematics and Computer Science 24, no. 6 (2017): 1-17. https://doi.org/10.9734/JAMCS/2017/36489
