The Stagnation Point Flow of the MHD Casson Polymeric Nanofluid Flows Toward a Wavy Circular Cylinder Saturated with a Porous Medium under Convective Nield Conditions and Thermal Radiation
Abstract
This study conducts a thorough numerical investigation employing the bvp4c technique to delve into the stagnation-point flow of a magnetohydrodynamic (MHD) Casson polymeric nanofluid around a wavy circular porous cylinder. It takes into account activation energy and thermal radiation, emphasizing the significant impact of thermal radiation on fluid flow, concentration and temperature profiles. The effects of thermal radiation within the energy equation are carefully considered, along with convective Nield boundary conditions, enabling a comprehensive analysis. By introducing dimensionless variables, the study transforms the partial differential equation into ordinary equations, facilitating the application of the shooting scheme to approximate the solution. The meticulously examined results offer detailed insights into temperature, velocity and mass concentration profiles, highlighting the profound influence of thermal radiation on these parameters. Furthermore, a comprehensive graphical presentation of each engineering parameter is provided, offering a nuanced understanding of the intricate physical phenomena involved, with particular attention to the influence of thermal radiation.
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References
S.E. Ahmed, A.K. Hussein, H.A. Mohammed, and S. Sivasankaran, “Boundary layer flow and heat transfer due to permeable stretching tube in the presence of heat source/sink utilizing nanofluids,” Applied Mathematics and Computation, 238, 149-162 (2014). https://doi.org/10.1016/j.amc.2014.03.106
D. Tripathi, A. Sharma, and O.A. Beg, “Joule heating and buoyancy effects in electro-osmotic peristaltic transport of aqueous nanofluids through a microchannel with complex wave propagation,” Adv. Powder Technol. 29, 639–653 (2018). https://doi.org/10.1016/j.apt.2017.12.009
F. Alwawi, H. Alkasasbeh, A. Rashad, and R. Idris, “Heat transfer analysis of ethylene glycol-based casson nanofluid around a horizontal circular cylinder with MHD effect,” Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, 234(13), 2569-2580(2020). https://doi.org/10.1177/0954406220908624
F. Bosli, A. Suhaimi, S. Ishak, M. Ilias, A. Rahim, and A. Ahmad, “Investigation of nanoparticles shape effects on aligned MHD Casson nanofluid flow and heat transfer with convective boundary condition,” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 91(1), 155-171(2022). https://doi.org/10.37934/arfmts.91.1.155171
G. Narender, K. Govardhan, and G. Sarma, “Magnetohydrodynamic stagnation point on a casson nanofluid flow over a radially stretching sheet,” Beilstein Journal of Nanotechnology, 11, 1303-1315 (2020). https://doi.org/10.3762/bjnano.11.114
A. Ishak, R. Nazar, and I. Pop, “Uniform suction/blowing effect on flow and heat transfer due to a stretching cylinder,” Applied Mathematical Modelling, 32(10), 2059-2066 (2008). https://doi.org/10.1016/j.apm.2007.06.036
J. Akram, N.S. Akbar, and D. Tripathi, “Numerical simulation of electrokinetically driven peristaltic pumping of silver-water nanofluids in an asymmetricmicro-channel,” Can. J. Phys. 68, 745–763 (2020). https://doi.org/10.1016/j.cjph.2020.10.015
J. Buongiorno, “Convective transport in nanofluids,” ASME J. Heat Transfer, 128, 240–250 (2006). https://doi.org/10.1115/1.2150834
K. Gnanaprasanna, and A. Singh, “A numerical approach of forced convection of casson nanofluid flow over a vertical plate with varying viscosity and thermal conductivity,” Heat Transfer, 51(7), 6782-6800 (2022). https://doi.org/10.1002/htj.22623
G. Kathyayani, and P.V. Subrahmanyam, “Numerical study of MHD Stagnation-Point Flow of Nanofluid Flow Past a 3-D Sinusoidal Cylinder with Thermophoresis and Brownian Motion Effects,” in: Disruptive Technologies in Computing and Communication Systems – Conference Proceedings, (Taylor & Francis Group, London, 2024), pp. 408-406, https://doi.org/10.1201/9781032665535-66
G. Kathyayani, and R.L. Devi, “Effect of induced magnetic field and Linear / non-linear vertical stretching sheet on mixed convection Jeffrey fluid near a Stagnation-Point flow through a Porous medium with suction or injection,” J. Phys.: Conf. Ser. 1597, 012003 (2020). https://doi.org/10.1088/1742-6596/1597/1/012003
L. Panigrahi, J. Panda, K. Swain, and G. Dash, “Heat and mass transfer of mhdcasson nanofluid flow through a porous medium past a stretching sheet with newtonian heating and chemical reaction,” Karbala International Journal of Modern Science, 6(3), (2020). https://doi.org/10.33640/2405-609x.1740
M. Baig, G. Chen, and C. Tso, “The thermal performance analysis of an al2o3-water nanofluid flow in a composite microchannel,” Nanomaterials, 12(21), 3821 (2022). https://doi.org/10.3390/nano12213821
M.K. Nayak, “MHD 3D flow and heat transfer analysis of nanofluids by shrinking surface inspired by thermal radiation and viscous dissipation,” Int. J. Mech. Sci. 124, 185–193 (2017). https://doi.org/10.1016/j.ijmecsci.2017.03.014
M.K. Nayak, N.S. Akbar, D. Tripathi, and V.S. Pandey, “Three dimensional MHD flow of nanofluid over an exponential porous stretching sheet with convective boundary conditions,” Therm. Sci. Eng. Prog. 3, 133–140 (2017). https://doi.org/10.1016/j.tsep.2017.07.006
M.K. Nayak, N.S. Akbar, D. Tripathi, Z.H. Khan, and V.S. Pandey, “MHD 3D free convective flow of nanofluid over an exponentially stretching sheet with chemical reaction,” Adv. Powder Technol. 28, 2159–2166 (2017). https://doi.org/10.1016/j.apt.2017.05.022
M. Senapati, K. Swain, and S. Parida, “Numerical analysis of three-dimensional mhd flow of casson nanofluid past an exponentially stretching sheet,” Karbala International Journal of Modern Science, 6(1), (2020). https://doi.org/10.33640/2405-609x.1462
N.A. Halim, R.U. Haq, and N.F.M. Noor, “Active and passive controls of nanoparticles in Maxwell stagnation point flow over a slipped stretched surface,” Meccanica, 52, 1527–1539 (2017). https://doi.org/10.1007/s11012-016-0517-9
N. Thamaraikannan, S. Karthikeyan, D. Chaudhary, and S. Kayikci, “Analytical investigation of magnetohydrodynamic non-newtonian type casson nanofluid flow past a porous channel with periodic body acceleration,” Complexity, 2021, 1-17 (2021). https://doi.org/10.1155/2021/7792422
P. Rana, N. Shukla, O.A. Bég, et al., “Lie Group Analysis of Nanofluid Slip Flow with Stefan Blowing Effect via Modified Buongiorno’s Model: Entropy Generation Analysis,” Differ. Equ. Dyn. Syst. 29, 193–210 (2021). https://doi.org/10.1007/s12591-019-00456-0
S. Han, L. Zheng, C. Li, and X. Zhang, “Coupled flow and heat transfer in viscoelastic fluid with Cattaneo-Christov heat flux model,” Appl. Math. Lett. 38, 87–93 (2014). https://doi.org/10.1016/j.aml.2014.07.013
V.K. Narla, D. Tripathi, and O.A. Beg, “Electro-osmotic nanofluid flow in a curved microchannel,” Can. J. Phys. 67, 544 558 (2020). https://doi.org/10.1016/j.cjph.2020.08.010
V. Tibullo, and V. Zampoli, “A uniqueness result for the Cattaneo-Christov heat conduction model applied to incompressible fluids,” Mech. Res. Commun. 38, 77–79 (2011). https://doi.org/10.1016/j.mechrescom.2010.10.008
C.Y. Wang, “Fluid flow due to a stretching cylinder,” The Physics of fluids, 31(3), 466-468 (1988). https://doi.org/10.1063/1.866827
Y. Wang, K. Yang, Z. Zhang, W. Qi, and J. Yang, “Natural convection heat and moisture transfer with thermal radiation in a cavity partially filled with hygroscopic porous medium,” Drying Technology, 34(3), 275-286 (2015). https://doi.org/10.1080/07373937.2015.1047953
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