Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The aim of this research paper is to investigate the rotational flow of an unsteady magnetohydrodynamic heat and mass transfer flow due to convection over a vertical porous semi-infinite plate. The plate undergoes continuous circular motion, maintaining a constant velocity. To achieve this, we worked on both numerical methods and analytical techniques, particularly utilizing perturbation methods to solve the governing partial differential equations. Consequently, we derive an expression for the Nusselt and Sherwood numbers. We delve into the analysis of the velocity profile, temperature distribution, and concentration variation, exploring their behaviour under different physical parameters, including the magnetic field parameter, Grashof num-ber, Soret number and Schmidt number, as well as the Prandtl number. Our findings reveal that the velocity increases with rising values of Grashof, modified Grashof and Soret numbers, whereas it decreases with declining values of the magnetic field parameter, Prandtl number and Schmidt number. Additionally, as rotation gradually intensifies, the fluid velocity closely follows the boundary and becomes negligible as it moves away from it. To facilitate a comprehensive examination of the fluid flow and heat and mass transfer characteristics, we employ graphical representations. Furthermore, this paper offers an in-depth discussion of the underlying physical aspects and their implications.
Czasopismo
Rocznik
Tom
Strony
179--187
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
- Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore, India
autor
- Department of Mathematics and Statistics, Faculty of Science and Humanities, SRM Institute of Science and Technology, Chengalpattu, India
Bibliografia
- [1] Chamkha, A., Mansour, M.A., & Aly, A. (2011), Unsteady MHD free convective heat and mass transfer from the vertical porous plate with Hall current, thermal radiation and chemical reaction effects. International Journal for Numerical Methods in Fluids, 65(4), 432−447. doi: 10.1002/fld.2190
- [2] Mohyud–Din, S.T., Khan, U., Ahmed, N., & Rashidi, M.M. (2018). A Study of heat and mass transfer on Magnetohydrody-namic (MHD) flow of nanoparticles. Propulsion and Power Re-search, 7(1), 72–77. doi: 10.1016/j.jppr.2018.02.001
- [3] Kataria, H., & Patel, H. (2018), Heat and mass transfer in Mag-netohydrodynamic (MHD) Casson fluid flow past over an oscil-lating vertical plate embedded in a porous medium with ramped wall temperature. Propulsion and Power Research, 7(3), 257−267. doi: 10.1016/j.jppr.2018.07.003
- [4] Seth, G.S., Sarkar, S., & Hussain, S.M. (2014). Effects of Hall current radiation and rotation on natural convection heat and mass transfer flow past a moving vertical plate. Ain Shams Engineering Journal, 5(2), 489−503. doi: 10.1016/j.asej.2013.09.014
- [5] Seth, G.S., Hussain, S.M., & Sarkar S. (2014). Effects of Hall current and rotation on unsteady MHD natural convection flow with heat and mass transfer past an impulsively moving vertical plate in the presence of radiation and chemical reaction. Bulgar-ian Chemical Communications, 46(4), 704−718.
- [6] Shevchuk, I.V. (2016). Modelling of Convective Heat and Mass Transfer in Rotating Flows. Mathematical Engineering, Springer International Publishing. doi: 10.1007/978-3-319-20961-6
- [7] Takhar, H.S., Singh, A.K, & Nath. G. (2002). Unsteady MHD flow and heat transfer on a rotating disk in an ambient fluid. In-ternational Journal of Thermal Sciences, 41(2), 147−155. doi: 10.1016/S1290-0729(01)01292-3
- [8] Jha, B.K., & Apere, C.A. (2010), Combined effect of Hall and ion-slip currents on unsteady MHD Couette flow in a rotating system. Journal of the Society of Japan, 79(10), 104401. doi: 10.1143/ JPSJ.79.104401
- [9] Abdel Rahman, G.M. (2008), Thermal Diffusion and MHD ef-fects on combined free forced convection and mass transfer of a viscous fluid flow through a porous medium with heat generation. Chemical Engineering and Technology, 31(4), 554-559. doi: 10.1002/ceat.200700487
- [10] Veera Krishna, M., Ameer Ahamad, N., & Chamkha, A.J. (2020), Hall and ion slip effects on unsteady MHD free convective rotat-ing flow through a saturated porous medium over an exponential plate. Alexandria Engineering Journal, 59(2), 565−577. doi: 10.1016/j.aej.2020.01.043
- [11] Ahmmed, S.F., Das, M.K., & Ali, L.E. (2015). Analytical study on unsteady MHD free convection and mass transfer flow past a vertical porous plate. American Journal of Applied Mathemat-ics, 3(2), 64−74. doi: 10.11648/j.ajam.20150302.16
- [12] Seddeek, M.A. (2002). Effects of radiation and variable viscosity on a MHD free convection flow past a semi-infinite flat plate with an aligned magnetic field in the case of unsteady flow. Interna-tional Journal of Heat Mass Transfer, 45(4), 931−935. doi: 10.1016/S0017-9310(01)00189-2
- [13] Niveditha, P. & Prasad, B.V.S.S.S. (2021). Computational Anal-ysis on the Performance of Centrifugal Compressor with Tapered Wall and Rotating Tapered Wall Vaneless Diffuser. Journal of Applied Fluid Mechanics, 14(2), 641–656. doi: 10.47176/jafm. 14.02.32008
- [14] Anirudh Narayanan, B., Lakshmanan, G., Mohammad, A. & Ratna Kishore V. (2021). Laminar Flow over a Square Cylinder Undergoing Combined Rotational and Transverse Oscillations. Journal of Applied Fluid Mechanics, 14(1), 259-273. doi: 10.47176/jafm.14.01.30706
- [15] Rudziva, M., Sibanda, P., Noreldin, O.A.I., & Goqo, S.P. (2022). A Numerical study of heat and mass transfer in a Darcy porous medium saturated with a couple of stress fluid under rotational modulation. Applied Mathematical Modelling, 104, 455–473. doi: 10.1016/j.apm.2021.12.004
Typ dokumentu
Bibliografia
Identyfikator YADDA
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