Non-Darcy-Benard Double Diffusive Marangoni Convection with Dufour Effect in a Two-Layer System
DOI:
https://doi.org/10.18311/jmmf/2022/31858Keywords:
Dufour Effect, Double Diffusive, Marangoni Convection.Abstract
Two - component / Double Diffusive Marangoni (DDM) convection with Dufour effects, in a two-layered system, has been studied analytically by using Darcy – Brinkmann Model. For fluid layer, the upper boundary is free with surface tension depending on both temperature and concentration, for porous layer the lower boundary is rigid and both the boundaries are insulating to both heat and mass. At the interface, the normal velocity, normal stress, shear stress, mass, mass flux, heat, heat flux is assumed to be continuous. The effect of different physical parameters on DDM convection is investigated in detail and results are presented graphically. The effect of Dufour parameter, which plays vital role in diffusion-thermal process, when the energy flux due to mass gradient appears, on DDM convection in a two- layer system, has been explored.
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References
Ching-Yang Cheng. Soret and Dufour effects on free convection heat and mass transfer from an arbitrarily inclined plate in a porous medium with constant wall temperature and concentration, International Communications in Heat and Mass Transfer, Vol. 39(2012).10.1016/j.icheatmasstransfer.2011.09.003, 2012 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2011.09.003
Dursukanya and W. M. Worek, Diffusion-Thermo and Thermal-Diffusion Effects in transient and steady Natural Convection from Vertical Surfaces, Int. J. Heat Mass Transfer, Vol.35(8) (1992)2060(2065).10.1016/00179310(92)90208-a. DOI: https://doi.org/10.1016/0017-9310(92)90208-A
Hamid, Wan Zaimi, Thermal Diffusion and Diffusion Thermo effects on MHD Thermo solutal Marangoni convection boundary layer flow over a permeable surface, Journal of Applied mathematics, Volume 2012, Article ID 750939, 14 pages, 2012. DOI: https://doi.org/10.1155/2012/750939
Idowu and B.O. Falodun, Soret-Dufour effects on MHD heat and mass transfer of Walter’s-B viscoelastic fluid over a semi-infinite vertical plate: spectral relaxation analysis, Doi:10.1080/16583655.2018.1523527, 2018 DOI: https://doi.org/10.1080/16583655.2018.1523527
Kafoussias and E. M. Williams, Thermal-Diffusion and Diffusion- Thermo Effects on Mixed free forced Convective and Mass Transfer Boundary Layer Flow with Temperature Dependent Viscosity, Int. J. Engng. Sci, Vol. 33(1995) pp.1369-1384.10.1016/0020-7225(94) 00132-4, 1995 DOI: https://doi.org/10.1016/0020-7225(94)00132-4
Krishna Murthy and Vinay Kumar, MHD forces on double diffusive free convection process along a vertical wavy surface embedded in a doubly stratified fluid–saturated Darcy porous medium under the influence of Soret and Dufour effect, European Journal of Computational Mechanics, https://doi.org/10.1080/17797179.2018.1439150, 2018 DOI: https://doi.org/10.1080/17797179.2018.1439150
Nagabhushana Reddy, S.Vijay Kumar Varma, Soret and dufour effects on MHD boundary layer flow past a stretching plate, International journal of Engineering Research in Africa, ISSN:1663-4144, vol.22, pp22-33, Doi:10.4028/www.scienctific.net/JERA.22.22, 2016 DOI: https://doi.org/10.4028/www.scientific.net/JERA.22.22
Najeeb Alam Khan and Faqiha Sultan, On the double diffusive convection flow of Eyring-Powell fluid due to cone through a porous medium with Soret and Dufour effect. Citation: AIP Advances 5,057140; doi:10.1063/1.4921488, 2015. DOI: https://doi.org/10.1063/1.4921488
Poulikakos D and Kazmierczak M, Transient double-diffusive convection experiments in a horizontal fluid layer extending over a bet of spheres, Phy. Of fluids –A, 1, 480, 1989. DOI: https://doi.org/10.1063/1.857418
Sumithra, Double diffusive magneto Marangoni convection in a composite layer, International Journal of Application or Innovation in Engineering of Management, ISSN 2319-4847, 2014.
Sumithra, Mathematical modelling of Hydrothermal Growth of Crystals as Double diffusive magnetoconvection in a composite layer bounded by rigid walls, Vol.4, No. 02,779-791, Int.J. Engg Sci. and Technology, 2012.
Siddheshwar P G and Stephen Titus P, Nonlinear Rayleigh–Benard Convection with Variable Heat Source, ASME. J. Heat Transfer. December 2013; 135(12): 122502, 2013. DOI: https://doi.org/10.1115/1.4024943
Sumithra R, Manjunatha N and Komala B, Effects of heat source/sink and non-uniform temperature gradients on Non-Darcian-Benard-Magneto-Marangoni convection in an infinite horizontal composite layer, Journal of Xidian University, Volume 14, Issue 5, 2020ISSN No:1001-2400http://xadzkjdx.cn/,https://doi.org/10.37896/jxu14.5/395, 2020 DOI: https://doi.org/10.37896/jxu14.5/395
Sumithra, B Komala and N. Manjunatha, Darcy-Benard double diffusive Marangoni convection with Soret effect in a composite layer system, Malaya Journal of Matematica, vol.8, N0. 4, 1473-1479, 2020 DOI: https://doi.org/10.26637/MJM0804/0023
Saravanan and T. Shivakumar, Exact solution of Marangoni convection in a binary fluid with throughflow and soret effect, Applied Mathematical Modeling, 33(2009), 3674-3681, 2009. DOI: https://doi.org/10.1016/j.apm.2008.12.017
Tasawar Hayat, Tehreem Nasir, Numerical Investigation of MHD flow with Soret and Dufour effect, https://doi.org/10.1016/j.rinp.2018.01.006, 2018 DOI: https://doi.org/10.1016/j.rinp.2018.01.006
Vanishree R K, Sumithra R and Manjunatha N, Effect on uniform and Non uniform temperature gradients on Benard-Marangoni convection in a superposed fluid and porous layer in the presence of heat source, Gedrag & Organisatie Review - ISSN:0921-5077, Volume 33 : Issue 02 – 2020,http://lemma-tijdschriften.nl/, 2020 DOI: https://doi.org/10.37896/GOR33.02/082