Stability Analysis of Unsteady Mixed Convection Flow Near the Stagnation Point with Buoyancy Effect
DOI:
https://doi.org/10.37934/cfdl.15.5.5464Keywords:
Unsteady flow, mixed convection, hybrid nanofluids, stability analysisAbstract
This numerical study investigates the behaviour of the unsteady mixed convection flow and heat transfer near the stagnation region past a vertical plate in Al2O3-Cu/H2O hybrid nanofluids. By choosing an appropriate similarity transformation, an ordinary differential equations system is obtained, hence scrutinized via the bvp4c package embedded in the MATLAB program. The results show that as the nanoparticle volume fraction and unsteadiness parameter increase, the fluid's skin friction coefficient also increases. Also, an increase in the nanoparticle volume fraction and unsteadiness parameter has broadened the range of solutions hence, delayed the progress of boundary layer separation. In addition, the presence of the unsteadiness parameter provides a significant result in the thermal system. The first solution is declared stable by the stability analysis.
Downloads
References
Huminic, Gabriela, and Angel Huminic. "Hybrid nanofluids for heat transfer applications–a state-of-the-art review." International Journal of Heat and Mass Transfer 125 (2018): 82-103. https://doi.org/10.1016/j.ijheatmasstransfer.2018.04.059
Sidik, Nor Azwadi Che, Isa Muhammad Adamu, Muhammad Mahmud Jamil, G. H. R. Kefayati, Rizalman Mamat, and G. Najafi. "Recent progress on hybrid nanofluids in heat transfer applications: a comprehensive review." International Communications in Heat and Mass Transfer 78 (2016): 68-79. https://doi.org/10.1016/j.icheatmasstransfer.2016.08.019
Suresh, S., K. P. Venkitaraj, and P. Selvakumar. "Synthesis, characterisation of Al2O3-Cu nano composite powder and water based nanofluids." In Advanced Materials Research, vol. 328, pp. 1560-1567. Trans Tech Publications Ltd, 2011. https://doi.org/10.4028/www.scientific.net/AMR.328-330.1560
Ahmed, Sohail, and Hang Xu. "Mixed convection in gravity-driven thin nano-liquid film flow with homogeneous–heterogeneous reactions." Physics of Fluids 32, no. 2 (2020): 023604. https://doi.org/10.1063/1.5140366
Ahmed, Sohail, Hang Xu, and Qiang Sun. "Stagnation flow of a SWCNT nanofluid towards a plane surface with heterogeneous-homogeneous reactions." Mathematical Problems in Engineering 2020 (2020): 1-12. https://doi.org/10.1155/2020/3265143
Ahmed, Sohail, Hang Xu, Yue Zhou, and Qiang Yu. "Modelling convective transport of hybrid nanofluid in a lid driven square cavity with consideration of Brownian diffusion and thermophoresis." International Communications in Heat and Mass Transfer 137 (2022): 106226. https://doi.org/10.1016/j.icheatmasstransfer.2022.106226
Ahmed, Sohail, and Hang Xu. "Forced convection with unsteady pulsating flow of a hybrid nanofluid in a microchannel in the presence of EDL, magnetic and thermal radiation effects." International Communications in Heat and Mass Transfer 120 (2021): 105042. https://doi.org/10.1016/j.icheatmasstransfer.2020.105042
Khan, Naseer M., Yu‐Ming Chu, Muhammad Ijaz Khan, Seifedine Kadry, and Sumaira Qayyum. "Modeling and dual solutions for magnetized mixed convective stagnation point flow of upper convected Maxwell fluid model with second‐order velocity slip." Mathematical Methods in the Applied Sciences (2020). https://doi.org/10.1002/mma.6824
Abbas, Syed Zaheer, M. Waqas, Adel Thaljaoui, M. Zubair, Anis Riahi, Y. M. Chu, and Waqar Azeem Khan. "Modeling and analysis of unsteady second-grade nanofluid flow subject to mixed convection and thermal radiation." Soft Computing (2022): 1-10. https://doi.org/10.1007/s00500-021-06575-7
Chu, Yu-Ming, Nargis Khan, M. Ijaz Khan, Kamel Al-Khaled, Nasreen Abbas, Sami Ullah Khan, Muhammad Sadiq Hashmi, Sumaira Qayyum, and S. Kadry. "Thermophoresis particle deposition analysis for nonlinear thermally developed flow of Magneto-Walter’s B nanofluid with buoyancy forces." Alexandria Engineering Journal 60, no. 1 (2021): 1851-1860. https://doi.org/10.1016/j.aej.2020.11.033
Chu, Yu-Ming, M. Israr Ur Rehman, M. Ijaz Khan, S. Nadeem, Seifedine Kadry, Zahra Abdelmalek, and Nadeem Abbas. "Transportation of heat and mass transport in hydromagnetic stagnation point flow of Carreau nanomaterial: Dual simulations through Runge-Kutta Fehlberg technique." International Communications in Heat and Mass Transfer 118 (2020): 104858. https://doi.org/10.1016/j.icheatmasstransfer.2020.104858
Jamaludin, Anuar, Roslinda Nazar, and Ioan Pop. "Mixed convection stagnation-point flow of a nanofluid past a permeable stretching/shrinking sheet in the presence of thermal radiation and heat source/sink." Energies 12, no. 5 (2019): 788. https://doi.org/10.3390/en12050788
Devi, CD Surma, H. S. Takhar, and G. Nath. "Unsteady mixed convection flow in stagnation region adjacent to a vertical surface." Wärme-und Stoffübertragung 26, no. 2 (1991): 71-79. https://doi.org/10.1007/BF01590239
Noor, Amin, Roslinda Nazar, Kohilavani Naganthran, and Ioan Pop. "Unsteady mixed convection flow at a three-dimensional stagnation point." International Journal of Numerical Methods for Heat & Fluid Flow 31, no. 1 (2021): 236-250. https://doi.org/10.1108/HFF-03-2020-0138
Kamal, Mohamad Hidayad Ahmad, Anati Ali, Lim Yeou Jiann, Noraihan Afiqah Rawi, and Sharidan Shafie. "Stagnation point flow of a hybrid nanofluid under the gravity modulation effect." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 92, no. 2 (2022): 157-170. https://doi.org/10.37934/arfmts.92.2.157170
Ali, I. R., Ammar I. Alsabery, Norhaliza Abu Bakar, and Rozaini Roslan. "Mixed Convection in a Lid-Driven Horizontal Rectangular Cavity Filled with Hybrid Nanofluid by Finite Volume Method." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 93, no. 1 (2022): 110-122. https://doi.org/10.37934/arfmts.93.1.110122
Waini, Iskandar, Anuar Ishak, and Ioan Pop. "MHD Glauert flow of a hybrid nanofluid with heat transfer." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 86, no. 2 (2021): 91-100. https://doi.org/10.37934/arfmts.86.2.91100
Idris, Muhammad Syafiq, Irnie Azlin Zakaria, and Wan Azmi Wan Hamzah. "Heat transfer and pressure drop of water based hybrid Al2O3: SiO2 nanofluids in cooling plate of PEMFC." Journal of Advanced Research in Numerical Heat Transfer 4, no. 1 (2021): 1-13.
Ghalambaz, Mohammad, Natalia C. Roşca, Alin V. Roşca, and Ioan Pop. "Mixed convection and stability analysis of stagnation-point boundary layer flow and heat transfer of hybrid nanofluids over a vertical plate." International Journal of Numerical Methods for Heat & Fluid Flow 30, no. 7 (2020): 3737-3754. https://doi.org/10.1108/HFF-08-2019-0661
Takabi, Behrouz, and Saeed Salehi. "Augmentation of the heat transfer performance of a sinusoidal corrugated enclosure by employing hybrid nanofluid." Advances in Mechanical Engineering 6 (2014): 147059. https://doi.org/10.1155/2014/147059
Oztop, Hakan F., and Eiyad Abu-Nada. "Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids." International journal of heat and fluid flow 29, no. 5 (2008): 1326-1336. https://doi.org/10.1016/j.ijheatfluidflow.2008.04.009
Merkin, J. H. "On dual solutions occurring in mixed convection in a porous medium." Journal of engineering Mathematics 20, no. 2 (1986): 171-179. https://doi.org/10.1007/BF00042775
Weidman, P. D., D. G. Kubitschek, and A. M. J. Davis. "The effect of transpiration on self-similar boundary layer flow over moving surfaces." International journal of engineering science 44, no. 11-12 (2006): 730-737. https://doi.org/10.1016/j.ijengsci.2006.04.005
Harris, S. D., D. B. Ingham, and I. Pop. "Mixed convection boundary-layer flow near the stagnation point on a vertical surface in a porous medium: Brinkman model with slip." Transport in Porous Media 77 (2009): 267-285. https://doi.org/10.1007/s11242-008-9309-6
Dinarvand, Saeed, Reza Hosseini, and Ioan Pop. "Homotopy analysis method for unsteady mixed convective stagnation-point flow of a nanofluid using Tiwari-Das nanofluid model." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 1 (2016): 40-62. https://doi.org/10.1108/HFF-12-2014-0387