Dual Stratification Effects on Mixed Convective Electro-magnetohydrodynamic Flow over a Stretching Plate with Multiple Slips and Cross Diffusion
Abstract
This paper analyzed the effects of dual stratification on mixed convective electro-magnetohydrodynamic flow over stretching plates with multiple slips. With the aid of the similarity transformation technique were, the governing boundary equations, that were partial differential equations, were changed to a couple of ordinary differential equations and then solved with fourth order Runge Kutta method and Newton’s Raphson shooting techniques. It was observed that the magnetic field, Buoyancy ratio, permeability, momentum slip parameters, Dufour, Soret and Brinkmann numbers made the thermal boundary layer thickness to increase but the solutal stratification, electric field, chemical reaction, solutal slip, suction, thermal slip and thermal stratification parameters, Prandtl, Richardson and Lewis number decreased the thickness of the thermal boundary layer. The Buoyancy ratio, permeability, momentum slip, thermal slip and thermal stratification parameters and Soret number enhanced the solutal boundary layer thickness.
References
Hayat, T., Waqas, M., Khan, M. I., & Alsaedi, A. (2016). Analysis of thixotropic nanomaterial in a doubly stratified medium considering magnetic field effects. International Journal of Heat and Mass Transfer, 102, 1123-1129. https://doi.org/10.1016/j.ijheatmasstransfer.2016.06.090
Srinivasacharya, D., & Upendar, M. (2013). Effect of double stratification on MHD free convection in a micropolar fluid. Journal of Egyptian Mathematical Society, 21, 370-378. https://doi.org/10.1016/j.joems.2013.02.006
Jian, Y., & Chang, L. (2015). EMHD micropumps under a spatially non-uniform magnetic field. ATP Advances, 057121. https://doi.org/10.1063/1.4921085
Yahaya, S. D., & Faisal, S. (2018). Impact of thermal radiation on electrical MHD flow of nanofluid over a nonlinear stretching sheet with variable thickness. Alexandria Engineering Journal, 57, 2187-2197. https://doi.org/10.1016/j.aej.2017.07.007
Besthapy, P., Haq, R., Bandari, S., & Al-Mdallal. (2017). Mixed convection flow of thermally stratified MHD nanofluid over an exponentially stretching surface with viscous dissipation effect. Journal of Taiwan Institute of Chemical Engineers, 71, 307-314. https://doi.org/10.1016/j.jtice.2016.12.034
Mutuku, W. N., & Makinde, O. D. (2017). Double stratification effect on heat and mass transfer in unsteady MHD nanofluid flow over a flat surface. Asia Pacific Journal of Computational Engineering, 4, 2, https://doi.org/10.1186/s40540-017-0021-2
Khashi’ie, N. S., Arifin, N. M., & Hafidzuddin, E. H. (2019). Dual stratified nanofluid flow past a permeable shrinking/stretching sheet using non-Fourier energy model. Applied Sciences, 9, 2124. https://doi.org/10.3390/app9102124
Reddy, P. S., & Chamkha, A. J. (2015). Soret and Dufour effects on unsteady MHD heat and mass transfer from a permeable stretching sheet with thermophoresis and non-uniform heat generation absorption. Journal of Applied Fluid Mechanics, 9(5), 2443-2455. https://doi.org/10.18869/acadpub.jafm.68.236.25171
Dulal, P., Gopinath, M., & Kuppalaplle, V. (2016). Soret and radiative heat and mass transfer of nanofluid over a vertical nonlinear stretching shrinking sheet. Applied Mathematics and Computation, 287-288, 184-200. https://doi.org/10.1016/j.amc.2016.04.037
Gireesha, B. J., Kumar, K. G., Krishnamurthy, M. R., Manjunatha, S., & Rudraswamy, N. G. (2019). Impact of ohmic heating on MHD mixed convection flow of Casson fluid by considering cross diffusion effect. Nonlinear Engineering, 8(1), 380-388. https://doi.org/10.1515/nleng-2017-0144
Gbadeyan, J. A., Oyekunle, T. L., Fasogbon, P. F., & Abubakar, J. U. (2018). Soret and Dufour effects on heat and mass transfer in chemically reacting MHD flow through a wavy channel. Journal of Taibah University for Science, 12(5), 631-651. https://doi.org/10.1080/16583655.2018.1492221
Reddy, B. S. K., Rao, K. V. S. N., & Vijaya, R. B. (2020). Soret and Dufour effect on MHD flow of viscous elastic fluid pass on an infinite vertical stretching sheet. Heat Transfer, 49(4), 2330-2343. https://doi.org/10.1002/htj.21723
Rasool, G., Shafiq, A., & Baleanu, D. (2020). Consequences of Soret-Dufour effects on thermal radiation and binary chemical reaction on Darcy-Forchheimer flow of nanofluids. Symmetry, 12, 1421. https://doi.org/10.3390/sym12091421
Salleh, S. N. A., Bachok, N., Araifin, N. M., & Ali, F. M. (2020). Influence of Soret and Dufour on forced convection flow towards a moving thin needle considering Buongiorno's nanofluid model. Alexandria Engineering Journal, 59(5), 3897-3906. https://doi.org/10.1016/j.aej.2020.06.045
Bouslimi, J., Abdelhafez, M. A., Abd-Alla, A. M., Abo-Dahab, S. M., & Mahmoud, K. H. (2021). MHD mixed convection nanofluid flow over convectively heated nonlinear due to an extending surface with Soret Effect. Complexity, vol. 2021, Article ID 5592024, 20 pages. https://doi.org/10.1155/2021/5592024
Turkyilmazoglu, M. (2011). Multiple solutions of heat and mass transfer of MHD slip flow for the viscoelastic fluid over a stretching sheet. International Journal of Thermal Sciences, 50(11), 2264-2276. https://doi.org/10.1016/j.ijthermalsci.2011.05.014
Daniel, Y. S., Azie, Z. A., Ismail, Z., & Salah, F. (2017). Effects of MHD flow of nanofluids over a porous nonlinear stretching/shrinking sheet. Australian Journal of Mechanical Engineering, 16(3), 213-229. https://doi.org/10.1080/14484846.2017.1358844
Khan, S. A., Nie, Y., & Ali, B. (2020). Multiple slip effects on MHD unsteady viscoelastic nanofluid flow over a permeable stretching sheet with radiation using the finite element method. SN Applied Science, 2, 66. https://doi.org/10.1007/s42452-019-1831-3
Khan, S. A., Nie, Y., & Ali, B. E. (2019). Multiple effect MHD axisymmetric buoyant nanofluid flow above a stretching radiation and chemical reaction. Symmetry, 11(9), 1171. https://doi.org/10.3390/sym11091171
Mabood, F., & Shateyi, S. (2019). Multiple slip effect on MHD unsteady flow heat and mass transfer impinging on permeable stretching sheet with radiation. Modeling and Simulation in Engineering, vol. 2019, Article ID 3052790, 11 pages. https://doi.org/10.1155/2019/3052790
Wahid, N. S., Hafidzuddin, M. E. H., Arifin, N. M., Turkyilmazoglu, M., & Rahmia, N. A. A. (2020). MHD slip Darcy flow of viscoelastic fluid over a stretching sheet and heat transfer with thermal radiation and viscous dissipation. CFD Letters, 12(1), 1-12.
Abbas, W., Ahmed, M., Megahed, M., Ibrahim, A., Ahmed, A., & Said, M. (2023). Non-Newtonian slippery nanofluid flow due to a stretching sheet through a porous medium with heat generation and thermal slip. Journal of Nonlinear Mathematical Physics, https://doi.org/10.1007/s44198-023-00125-5
Ibrahim, W., & Gizewu, T. (2021). Thin film flow of tangent hyperbolic fluid with nonlinear mixed convection flow and entropy generation. Mathematical Problems in Engineering, 2021, 1-16. https://doi.org/10.1155/2021/4836434
Yin, Yu-Hang, Lü, Xing, & Ma, Wen-Xiu. (2022). Bäcklund transformation, exact solutions, and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation. Nonlinear Dynamics, 108, 4181-4194. https://doi.org/10.1007/s11071-021-06531-y
Biswal, M. M., Swain, B. K., Das, M., & Gouranga, C. D. (2022). Heat and mass transfer in MHD stagnation-point flow toward an inclined stretching sheet embedded in a porous medium. Heat Transfer, 51, 4837-4857. https://doi.org/10.1002/htj.22525
Sher Akbar, N., & Mallawi, F. O. (2023). Numerical analysis of non-Newtonian nanofluids under double-diffusive regimes. Frontiers in Materials, 9, 1078467. https://doi.org/10.3389/fmats.2022.1078467
Shehzad, N., Zeeshan, A., Shakeel, M., Ellahi, R., & Sait, S. M. (2022). Effects of magnetohydrodynamics flow on multilayer coatings of Newtonian and non-Newtonian fluids through porous inclined rotating channel. Coatings, 12, 430. https://doi.org/10.3390/coatings12040430
Kumar, D., & Sahu, A. K. (2022). Non-Newtonian fluid flow over a rotating elliptic cylinder in laminar flow regime. European Journal of Mechanics, 93, 117-136. https://doi.org/10.1016/j.euromechflu.2022.01.005
Goyal, M., & Bhargava, R. (2014). Boundary layer flow and heat transfer of viscoelastic nanofluids past a stretching sheet with partial slip conditions. Applied Nanoscience, 4, 761-767.
Wang, C. Y. (1989). Free convection on a vertical stretching surface. Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 69(11), 418-420. https://doi.org/10.1002/zamm.19890691115
Gorla, R. S. R., & Sidawi, I. (1994) Free convection on a vertical stretching surface with suction and blowing. Applied Scientific Research, 52, 247-257. https://doi.org/10.1007/BF00853952
This work is licensed under a Creative Commons Attribution 4.0 International License.