Thermo-Diffusion and Diffusion-Thermo Effects on MHD Convective Flow Past an Impulsively Started Vertical Plate Embedded in Porous Medium
Abstract
This study introduces an analytical solution for the unsteady MHD free convection and mass transfer flow past a vertical plate embedded in porous medium, taking into account the Soret and Dufour effects. Initially, the perturbation method is employed to decouple the equations resulting from the coupling of the Soret and Dufour effects. Subsequently, the Laplace Transform Technique is applied to solve the governing equations. The expressions for velocity, temperature, concentration, skin-friction, Nusselt, and Sherwood numbers are derived. The effects of the main parameters are discussed, revealing that an increase in the Soret number leads to a decrease in temperature while increasing velocity and concentration. Similarly, the Dufour parameter causes an increase in temperature and velocity, while concentration decreases. However, the effect of the Dufour and Soret parameters on velocity does not show a significant difference.
Downloads
References
N. Marneni, S. Tippa, and R. Pendyala, “Ramp temperature and Dufour effects on transient MHD natural convection flow past an infinite vertical plate in a porous medium,” Eur. Phys. J. Plus. 130, 251 (2015). https://doi.org/10.1140/epjp/i2015-15251-9
R. Derakhshan, A. Shojaeia, K. Hosseinzadeh, M. Nimafar, and D.D. Ganji, “Hydrothermal analysis of magneto hydrodynamic nanofluid flow between two parallel by AGM,” Case Stud. Therm. Eng. 14, 100439 (2019). https://doi.org/10.1016/j.csite.2019.100439
M.R. Zangooee, Kh. Hosseinzadeh, D.D. Ganji, “Hydrothermal analysis of MHD nanofluid (TiO2-GO) flow between two radiative stretchable rotating disks using AGM,” Case Stud. Therm. Eng. 14, 100460 (2019). https://doi.org/10.1016/j.csite.2019.100460
M. Gholinia, Kh. Hosseinzadeh, H. Mehrzadi, D.D. Ganjia, and A.A. Ranjbar, “Investigation of MHD Eyring–Powell fluid flow over a rotating disk under effect of homogeneous–heterogeneous reactions,” Case Stud. Therm. Eng. 13, 100356 (2019). https://doi.org/10.1016/j.csite.2018.11.007
M. Gholinia, M. Armin, A.A. Ranjbar, and D.D. Ganji, “Numerical thermal study on CNTs/C2H6O2–H2O hybrid base nanofluid upon a porous stretching cylinder under impact of magnetic source,” Case Stud. Therm. Eng. 14, 100490 (2019). https://doi.org/10.1016/j.csite.2019.100490
M. Gholinia, S. Gholinia, Kh. Hosseinzadeh, and D.D. Ganji, “Investigation on ethylene glycol Nano fluid flow over a vertical permeable circular cylinder under effect of magnetic field,” Results Phys. 9, 1525-1533 (2018). https://doi.org/10.1016/j.rinp.2018.04.070
S.M. Mousazadeh, M.M. Shahmardan, T. Tavangar, Kh. Hosseinzadeh, and D.D. Ganji, “Numerical investigation on convective heat transfer over two heated wall-mounted cubes in tandem and staggered arrangement,” Theor. Appl. Mech. Lett. 8, 171–183 (2018). https://doi.org/10.1016/j.taml.2018.03.005
S.S. Ghadikolaei, Kh. Hosseinzade, M. Yassari, H. Sadeghi, and D.D. Ganji, “Analytical and numerical solution of non-Newtonian second-grade fluid flow on a stretching sheet,” Therm. Sci. Eng. Prog. 5, 309–316 (2018). https://doi.org/10.1016/j.tsep.2017.12.010
S.S. Ardahaie, A.J. Amiri, A. Amouei, K. Hosseinzadeh, and D.D. Ganji, “Investigating the effect of adding nanoparticles to the blood flow in presence of magnetic field in a porous blood arterial,” Inform. Med. Unlocked, 10, 71–81 (2018). https://doi.org/10.1016/j.imu.2017.10.007
J. Rahimi, D.D. Ganji, M. Khaki, and Kh. Hosseinzadeh, “Solution of the boundary layer flow of an Eyring–Powell non-Newtonian fluid over a linear stretching sheet by collocation method,” Alex. Eng. J. 56, 621–627 (2017). https://doi.org/10.1016/j.aej.2016.11.006
S.S. Ghadikolaei, K. Hosseinzadeh, and D.D. Ganji, “Investigation on Magneto Eyring-Powell nanofluid flow over inclined stretching cylinder with nolinear thermal radiation and Joule heating effect,” World J. Eng. 16, 51–63 (2019). https://doi.org/10.1108/WJE-06-2018-0204
S.S. Ghadikolaei, Kh. Hosseinzade, and D.D. Ganji, “Investigation on ethylene glycol-water mixture fluid suspend by hybrid nanoparticles (TiO2–CuO) over rotating cone with considering nanoparticles shape factor,” J. Mol. Liq. 272, 226–236 (2018). https://doi.org/10.1016/j.molliq.2018.09.084
S.S. Ghadikolaei, Kh. Hosseinzadeh, and D.D. Ganji, “Numerical study on magnetohydrodynic CNTs-water nanofluids as a micropolar dusty fluid influenced by non-linear thermal radiation and joule heating effect,” Powder Technol. 340, 389–399 (2018). https://doi.org/10.1016/j.powtec.2018.09.023
S.S. Ghadikolaei, K. Hosseinzadeh, M. Hatami, and D.D. Ganji, “MHD boundary layer analysis for micropolar dusty fluid containing Hybrid nanoparticles (Cu-Al2O3) over a porous medium,” J. Mol. Liq. 268, 813–823 (2018). https://doi.org/10.1016/j.molliq.2018.07.105
S.S. Ghadikolaei, Kh. Hosseinzadeh, and D.D. Ganji, “MHD radiative boundary layer analysis of micropolar dusty fluid with graphene oxide (Go)-engine oil nanoparticles in a porous medium over a stretching sheet with joule heating effect,” Powder Technol. 338, 425–437 (2018). https://doi.org/10.1016/j.powtec.2018.07.045
S.S. Ghadikolaei, K. Hosseinzadeh, M. Hatami, D.D. Ganji, and M. Armin, “Investigation for squeezing flow of ethylene glycol (C2H6O2) carbon nanotubes (CNTs) in rotating stretching channel with nonlinear thermal radiation,” J. Mol. Liq. 263, 10–21 (2018). https://doi.org/10.1016/j.molliq.2018.04.141
S.S. Ghadikolaei, Kh. Hosseinzadeh, and D.D. Ganji, “Investigation on three-dimensional squeezing flow of mixture base fluid (ethyleneglycol–water) suspended by hybrid nanoparticle (Fe3O4–Ag) dependent on shape factor,” J. Mol. Liq. 262, 376–388 (2018). https://doi.org/10.1016/j.molliq.2018.04.094
S.S. Ghadikolaei, K. Hosseinzadeh, M. Hatami, and D.D. Ganji, “Fe3O4-(CH2OH)2 nanofluid analysis in a porous medium under MHD radiative boundary layer and dusty fluid,” J. Mol. Liq. 258, 172–185 (2018). https://doi.org/10.1016/j.molliq.2018.02.106
J.K. Platten, “The Soret effect: a review of recent experimental results,” J. Appl. Mech. 73(1), 5-15 (2006). https://doi.org/10.1115/1.1992517
M.A. Rahman, and M.Z. Saghir, “Thermodiffusion or Soret effect: historical review,” Int. J. Heat Mass. Transf. 73, 693–705 (2014). https://doi.org/10.1016/j.ijheatmasstransfer.2014.02.057
M. Bourich, M. Hasnaoui, M. Mamou, et al., “Soret effect inducing subcritical and Hopf bifurcations in a shallow enclosure filled with a clear binary fluid or a saturated porous medium: a comparative study,” Phys Fluids, 16, 551–568 (2004). https://doi.org/10.1063/1.1636727
M.S. Malashetty, “Anisotropic thermoconvective effects on the onset of double diffusive convection in a porous medium,” Int. J. Heat Mass. Transf. 36, 2397–2401 (1993). https://doi.org/10.1016/S0017-9310(05)80123-1
R.G. Mortimer, and H. Eyring, “Elementary transition state theory of the Soret and Dufour effects,” Proc. Natl. Acad. Sci. USA, 77, 1728–1731 (1980). https://www.ncbi.nlm.nih.gov/pmc/articles/PMC348577/pdf/pnas00667-0043.pdf
G.V.R. Reddy, “Soret and Dufour Effects on MHD free convective flow past a vertical porous plate in the presence of heat generation,” Int. J. Appl. Mech. Eng. 21, 649–665 (2016). https://doi.org/10.1515/ijame-2016-0039
K.J. Basant, and O.A. Abiodun, “Free convective flow of heat generating/absorbing fluid between vertical porous plates with periodic heat input,” Int. Commun. Heat Mass. 36, 624–631 (2009). https://doi.org/10.1016/j.icheatmasstransfer.2009.03.003
Kh. Hosseinzadeh, M. Alizadeh, and D.D. Ganji, “Hydrothermal analysis on MHD squeezing nanofluid flow in parallel plates by analytical method,” Int. J. Mech. Mater. Eng. 13, 4 (2018). https://doi.org/10.1186/s40712-018-0089-7
N.G. Kafoussias, and E.W. Williams, “Thermal-diffusion and diffusion-thermo effects on mixed free-forced convective and mass transfer boundary layer flow with temperature dependent viscosity,” Int. J. Eng. Sci. 33, 1369–1384 (1995). https://doi.org/10.1016/0020-7225(94)00132-4
A.J. Omowaye, A.I. Fagbade, and A.O. Ajayi, “Dufour and soret effects on steady MHD convective flow of a fluid in a porous medium with temperature dependent viscosity: homotopy analysis approach,” J. Niger. Math. 34, 343–360 (2015). https://doi.org/10.1016/j.jnnms.2015.08.001
A. Shojaei, A.J. Amiri, S.S. Ardahaie, K. Hosseinzadeh, and D.D. Ganji, “Hydrothermal analysis of тon-Newtonian second grade fluid flow on radiative stretching cylinder with Soret and Dufour effects,” Case Stud. Therm. Eng. 13, 100384 (2019). https://doi.org/10.1016/j.csite.2018.100384
H. Alfven, Discovery of Alfven Waves, Nature, 150, 405-406 (1942). https://doi.org/10.1038/150405d0
T.G. Cowling, Magnetohydrodynamics, (Wiley Inter Science, New York, 1957).
J.A. Shercliff, A Textbook of Magnetohydrodynamics, (Pergamon Press, London, 1965).
K.R. Crammer, and S.I. Pai, Magneto Fluid Dynamics for Engineers and Applied Physicists, (Mc Graw Hill Book Co., New York, 1973).
B.K. Jha, and Y.Y. Gambo, “Unstaedy free convection and mass transfer flow past an impulsively started vertical plate with Soret and Dufour effects: an analytical approach,” SN Applied Sciences, 1, 1234 (2019). https://doi.org/10.1007/s42452-019-1246-1
Copyright (c) 2024 Kangkan Choudhury, Sweety Sharma, Shahir Ahmed
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).