Numerical Study of Chemical Reaction and Magnetic Field Effects on MHD Boundary Layer Flow over a Flat Plate
DOI:
https://doi.org/10.37934/cfdl.16.3.5568Keywords:
Boundary layer, Chemical reaction, Eckert number, heat and mass transfer, magnetic fieldAbstract
This investigation explores the combined effects of magnetic fields and chemical reactions on the movement of a boundary layer toward a flat plate. The study considers the influence of viscous dissipation on the energy distribution. By utilizing partial differential equations (PDEs), the flow phenomenon is modeled. Through the application of suitable similarity transformations, the system of PDEs is transformed into a system of total differential equations. These modified equations are then solved using the spectral homotopy analysis method (SHAM), which incorporates the combination of the CSCM and HAM procedures. The analysis reveals that magnetohydrodynamic (MHD) fluxes generate a Lorentz force, and a higher magnetic parameter intensifies this effect, resulting in a flattened velocity profile. Furthermore, the velocity profile improves with an increase in the chemical interaction variable. The study also shows that as the Eckert number increases, the ambient temperature of the dense dissipative fluid rises. The findings have potential applications in various engineering fields, such as petroleum pipeline flow improvement. The spectral homotopy method used in this study offers a numerical solution for analyzing the problem. The results contribute to the understanding of heat and mass transfer phenomena and can guide future research in this area.
References
Goud, B. Shankar, Yanala Dharmendar Reddy, Nawal A. Alshehri, Wasim Jamshed, Rabia Safdar, Mohamed R. Eid, and Mohamed Lamjed Bouazizi. "Numerical case study of chemical reaction impact on MHD micropolar fluid flow past over a vertical riga plate." Materials 15, no. 12 (2022): 4060. https://doi.org/10.3390/ma15124060
Goud, B. Shankar, and Mahantesh M. Nandeppanavar. "Chemical reaction and MHD flow for magnetic field effect on heat and mass transfer of fluid flow through a porous medium onto a moving vertical plate." International Journal of Applied Mechanics and Engineering 27, no. 2 (2022): 226-244. https://doi.org/10.2478/ijame-2022-0030
Anantha Kumar, K., A. C. Venkata Ramudu, V. Sugunamma, and N. Sandeep. "Effect of non-linear thermal radiation on MHD Casson fluid flow past a stretching surface with chemical reaction." International Journal of Ambient Energy 43, no. 1 (2022): 8400-8407. https://doi.org/10.1080/01430750.2022.2097947
Kumar, T. Prasanna. "Heat Transfer of SWCNT-MWCNT Based Hybrid Nanofluid Boundary Layer Flow with Modified Thermal Conductivity Model." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 92, no. 2 (2022): 13-24. https://doi.org/10.37934/arfmts.92.2.1324
Alao, F. I., A. I. Fagbade, and B. O. Falodun. "Effects of thermal radiation, Soret and Dufour on an unsteady heat and mass transfer flow of a chemically reacting fluid past a semi-infinite vertical plate with viscous dissipation." Journal of the Nigerian mathematical Society 35, no. 1 (2016): 142-158. https://doi.org/10.1016/j.jnnms.2016.01.002
Idowu, A. S., and B. O. Falodun. "Variable thermal conductivity and viscosity effects on non-Newtonian fluids flow through a vertical porous plate under Soret-Dufour influence." Mathematics and Computers in Simulation 177 (2020): 358-384. https://doi.org/10.1016/j.matcom.2020.05.001
Falodun, Bidemi Olumide, and Adeola John Omowaye. "Double-diffusive MHD convective flow of heat and mass transfer over a stretching sheet embedded in a thermally-stratified porous medium." World Journal of Engineering 16, no. 6 (2019): 712-724. https://doi.org/10.1108/WJE-09-2018-0306
Oyelami, Funmilayo H., and Bidemi O. Falodun. "Heat and mass transfer of hydrodynamic boundary layer flow along a flat plate with the influence of variable temperature and viscous dissipation." International Journal of Heat and Technology 39, no. 2 (2021): 441-450. https://doi.org/10.18280/ijht.390213
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
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
Hayat, T., M. Zubair, M. Waqas, A. Alsaedi, and M. Ayub. "On doubly stratified chemically reactive flow of Powell–Eyring liquid subject to non-Fourier heat flux theory." Results in Physics 7 (2017): 99-106. https://doi.org/10.1016/j.rinp.2016.12.003
Mondal, Hiranmoy, Dulal Pal, Sewli Chatterjee, and Precious Sibanda. "Thermophoresis and Soret-Dufour on MHD mixed convection mass transfer over an inclined plate with non-uniform heat source/sink and chemical reaction." Ain Shams Engineering Journal 9, no. 4 (2018): 2111-2121. https://doi.org/10.1016/j.asej.2016.10.015
Falodun, Bidemi O., C. Onwubuoya, and FH Awoniran Alamu. "Magnetohydrodynamics (MHD) heat and mass transfer of Casson fluid flow past a semi-infinite vertical plate with thermophoresis effect: spectral relaxation analysis." In Defect and Diffusion Forum, vol. 389, pp. 18-35. Trans Tech Publications Ltd, 2018. https://doi.org/10.4028/www.scientific.net/DDF.389.18
Pop, I., and Tsung-Yen Na. "Free convection from an arbitrarily inclined plate in a porous medium." Heat and mass transfer 32, no. 1-2 (1996): 55-59. https://doi.org/10.1007/s002310050091
Falodun, Bidemi Olumide, and Adeola John Omowaye. "Double-diffusive MHD convective flow of heat and mass transfer over a stretching sheet embedded in a thermally-stratified porous medium." World Journal of Engineering 16, no. 6 (2019): 712-724. https://doi.org/10.1108/WJE-09-2018-0306
Idowu, A. S., and B. O. Falodun. "Influence of magnetic field and thermal radiation on steady free convective flow in a porous medium." Nigerian Journal of Technological Development 15, no. 3 (2018): 84-97. https://doi.org/10.4314/njtd.v15i3.3
Hossain, M. A., and H. S. Takhar. "Thermal radiation effects on the natural convection flow over an isothermal horizontal plate." Heat and mass transfer 35, no. 4 (1999): 321-326. https://doi.org/10.1007/s002310050331
Bataller, Rafael Cortell. "Radiation effects for the Blasius and Sakiadis flows with a convective surface boundary condition." Applied Mathematics and Computation 206, no. 2 (2008): 832-840. https://doi.org/10.1016/j.amc.2008.10.001
Ishak, Anuar. "Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition." Applied Mathematics and Computation 217, no. 2 (2010): 837-842. https://doi.org/10.1016/j.amc.2010.06.026
Yao, Shanshan, Tiegang Fang, and Yongfang Zhong. "Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions." Communications in Nonlinear science and Numerical simulation 16, no. 2 (2011): 752-760. https://doi.org/10.1016/j.cnsns.2010.05.028
Oyelami, Funmilayo H., and Moses S. Dada. "Unsteady magnetohydrodynamic flow of some non-Newtonian fluids with slip through porous channel." (2018). https://doi.org/10.18280/ijht.360237
Tyagi, V. P. "Laminar forced convection of a dissipative fluid in a channel." (1966): 161-167. https://doi.org/10.1115/1.3691501
Oyelami, F. H., and M. S. Dada. "Numerical analysis of non-Newtonian fluid in a non-Darcy porous channel." Modelling, Measurement and Control 87, no. 2 (2018): 83-91. https://doi.org/10.18280/mmc_b.870204
Desale, Satish, and V. H. Pradhan. "Numerical solution of boundary layer flow equation with viscous dissipation effect along a flat plate with variable temperature." Procedia Engineering 127 (2015): 846-853. https://doi.org/10.1016/j.proeng.2015.11.421
Oyelami, Funmilayo H., and Bidemi O. Falodun. "Heat and mass transfer of hydrodynamic boundary layer flow along a flat plate with the influence of variable temperature and viscous dissipation." International Journal of Heat and Technology 39, no. 2 (2021): 441-450. https://doi.org/10.18280/ijht.390213
Sibanda, Precious, Sandile Motsa, and Zodwa Makukula. "A spectral‐homotopy analysis method for heat transfer flow of a third grade fluid between parallel plates." International Journal of Numerical Methods for Heat & Fluid Flow 22, no. 1 (2012): 4-23. https://doi.org/10.1108/09615531211188766
Trefethen L N, Spectral Methods in MATLAB, (2000) SIAM. https://doi.org/10.1137/1.9780898719598
