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Arul Selvamary, T
- Non-Uniform Temperature Gradients Impact on Rayleigh-Darcy Convection : A Composite System with Couple Stress Fluid
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Authors
Affiliations
1 Associate Professor, Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka, IN
2 Research Scholar Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka, IN
1 Associate Professor, Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka, IN
2 Research Scholar Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka, IN
Source
Journal of Mines, Metals and Fuels, Vol 70, No 7A (2022), Pagination: 76-87Abstract
The impact of non-uniform temperature gradients on Rayleigh-Darcy convection in a composite system of couple stress fluid is discussed. The composite system is bounded by stress-free surfaces and adiabatically insulated, and the fluid-porous layers are coupled by employing appropriate interfacial boundary conditions. To determine the eigen value, the regular perturbation method is used. The effect of dimensionless parameters on Rayleigh-Darcy convection is analysed graphically, and it is demonstrated that the couple stress parameter and couple stress viscosity ratio stabilise the system, while the opposite effect is observed for the Darcy number and thermal diffusivity ratio.Keywords
Rayleigh-Darcy Convection, Couple Stress Fluid, Composite System, Non-Uniform Temperature Gradient.
References
- Nield, D. A., and Bejan, A., “Convection in porous media”. Springer-Verlag New York Inc, (1999).
- Sun, W. J., “Convective instability in superposed porous and free layers”. Ph.D. dissertation, University of Minnesota, Minneapolis, (1973).
- Nield, D. A., “Onset of convection in a fluid layer overlying a layer of a porous medium”, J. Fluid Mech., 81, pp. 513–522, (1977).
- Beckermann, C., Ramadhyani, S., and Viskanta, R., “Natural convection flow and heat transfer between a fluid layer and a porous layer inside a rectangular enclosure.” J. Heat Trans., 109, pp. 363–370, (1987).
- Chen F. and C. F. Chen, “Convection in superposed fluid and porous layers,” J. Fluid Mech., 234, 97-119 (1992).
- Robert McKibbian “Anisotropic modelling of thermal convection in multilayered porous media” J. Fluid Mech., vol. 118, pp. 315-339, Printed in Great Britain 315, (1982).
- Jamet, D., Chandesris, M., and Goyeau, B., “On the equivalence of the discontinuous one- and two-domain approaches”. Trans. Porous Med., 78, p. 403-418, (2009).
- Chang, M., “Thermal convection in superposed fluid and porous layers subjected to a plane poiseuille flow”, Physics of Fluids, 18(3), pp. 1–7, (2006).
- Hill, A. A., and Straughan, B., “Poiseuille flow in a fluid overlying a porous medium”, J. Fluid Mech., 603, pp. 137–149, (2008).
- Hirata, S. C., Goyeau, B., Gobin, D., and Cotta, R. M., “Stability in natural convection in superposed fluid and porous layers using integral transforms”. Num. Heat Trans., 50(5), pp. 409–424, (2006).
- Hirata, S. C., Goyeau, B., Gobin, D., Chandesris, M., and Jamet, D., “Stability of natural convection in superposed fluid and porous layers: equivalence of the one-and two-domain approaches”, Int. J. Heat Mass Trans., 52(1-2), pp. 533–536, (2009).
- Beavers, G. S., and Joseph, D. D., 1967. “Boundary conditions at a naturally permeable wall”, J. Fluid Mech., 30, pp.197–207, (1967).
- Alberto Ochoa-Tapia J., Stephen Whitaker, “Momentum transfer at the boundary between a porous medium and a homogeneous fluid—I. Theoretical development”, International Journal of Heat and Mass Transfer, Volume 38, Issue 14, Pages 2635-2646, (1995).
- Vafai K and Thiyagaraja R, “Analysis of flow and heat transfer at the interface region of a porous medium”, International Journal of Heat and Mass Transfer Volume 30, Issue 7, 1391-1405, (1987).
- Alazmi, B., and Vafai, K., “Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer”, International Journal of Heat and Mass Transfer, 44(9), 1735–1749, (2001).
- Sumithra R. and Manjunatha.N, “Effects of parabolic and inverted parabolic temperature profiles on magneto Marangoni convection in a composite layer”, International Journal current Research, 6, 5435-5450, (2014).
- Sumithra, R., Vanishree, R. K., & Manjunatha, N., “Effect of constant heat source/sink on single component Marangoni convection in a composite layer bounded by adiabatic boundaries in presence of uniform & non uniform temperature gradients”, Malaya Journal of Matematik, 8(2), 306–313, (2020).
- Stokes V.K. “Couple stresses in fluids”, Phys. Fluids, 9 1709-1716, (1966).
- Sharma R. C. and Shivani Sharma, “Couple-stress fluid heated from below in porous medium”, Indian Journal of Physics, 75B (2), 137-139, (2001).
- Malashetty M. S. and D. Basavaraja, ”Effect of JOURNAL OF MINES, METALS & FUELS 11 thermal/gravity modulation on the onset of Rayleigh-Benard convection in a couple stress fluid”, International Journal of Transport Phenomena, vol. 7, pp. 31–44, (2005).
- Rudraiah, N., Veerapa, B., Balachandra, R.S: “Effects of non-uniform thermal gradient and adiabatic boundaries on convection in porous media”, Journal of Heat Transfer, 102, 254, (1980).
- Shivakumara, I. S., Sureshkumar, S., & Devaraju, N., “Effect of non-uniform temperature gradients on the onset of convection in a couple-stress fluid-saturated porous medium”, Journal of Applied Fluid Mechanics, 5(1):49-55, (2012).
- Shankar B.M., Shivakumara I.S., Chiu-On Ng., “Stability of couple stress fluid flow through horizontal porous layer”, Journal of Porous Media, 19, 5, pp.391-404, (2016).
- P.G. Siddheshwar and S. Pranesh, “Effect of a non-uniform basic temperature gradient on Rayleigh-Benard convection in a micropolar fluid”, International Journal of Engineering Science, vol.36, 11, 1183–1196, (1998).
- Shivakumara I.S., “Onset of convection in a couple-stress fluid saturated porous medium: Effects of non-uniform temperature gradients”, Archive of Applied Mechanics, Vol.80, No.8, pp.949-957, (2010).
- Sumithra, R., and Selvamary, T. A., “Single component Darcy-Benard surface tension driven convection of couple stress fluid in a composite layer”, Malaya Journal of Matematik (MJM), 9(1, 2021), 797–804, (2021).
- Linear, Parabolic, and Inverted Parabolic Temperature Gradients Impact on Double-Diffusive Rayleigh-Darcy Convection : A Composite System with Couple Stress Fluid
Abstract Views :78 |
PDF Views:0
Authors
Affiliations
1 Associate Professor,Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka,, IN
2 Research Scholar Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka,, IN
1 Associate Professor,Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka,, IN
2 Research Scholar Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka,, IN
Source
Journal of Mines, Metals and Fuels, Vol 70, No 7A (2022), Pagination: 88-100Abstract
The influence of linear, parabolic and inverted parabolic temperature gradients on the onset of double-diffusive Rayleigh-Darcy convection is theoretically investigated. The composite system is constrained horizontally by adiabatic and free-free thermal boundaries, and appropriate interfacial boundary conditions are used to connect fluid-porous layers. The regular perturbation approach is used to determine the critical Rayleigh number expression for different temperature gradients. Graphs are used to investigate the significance of a variety of dimensionless characteristics. The couple stress parameter, couple stress viscosity ratio, solute Rayleigh number, and solute diffusivity ratio clearly have a stabilizing effect on the system, whereas the Darcy number and thermal diffusivity ratio destabilize it.Keywords
Double-Diffusive Convection, Couple Stress Fluid, Thermal Rayleigh Number, Solute Rayleigh Number, Composite SystemReferences
- Chen, F and Chen C.F., Onset of Finger convection in a horizontal porous layer underlying a fluid layer, J. Heat transfer, 110, 403, 1998. DOI: https://doi.org/10.1115/1.3250499
- Gaikwad SN, Kouser S. Double diffusive convection in a couple stress fluid saturated porous layer with internal heat source. Int J Heat Mass Transf. ; 78:1254 1264, 2014. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2014.07.021
- Gangadharaiah, Y. H. “Double Diffusive Surface Driven Convection in a Fluid- Porous System.” International Journal of Thermofluid Science and Technology 8: 080301, 2021. DOI: https://doi.org/10.36963/IJTST.2022090103
- Gobin, D., B. Goyeau, and J-P. Songbe. “Double diffusive natural convection in a composite fluid-porous layer.” 234-242, 1998. DOI: https://doi.org/10.1115/1.2830047
- Harfash AJ, Meften GA. Couple stresses effect on instability and nonlinear stability in a double diffusive convection. Appl Math Comput.; 341:301 320, 2019. DOI: https://doi.org/10.1016/j.amc.2018.08.045
- Malashetty MS, Pal D, Kollur P. Double diffusive convection in a Darcy porous medium saturated with a couple stress fluid. Fluid Dyn Res.; 42:035502 035523, 2010. DOI: https://doi.org/10.1088/0169-5983/42/3/035502
- Malashetty MS, Kollur P. The onset of double diffusive convection in a couple stress fluid saturated anisotropic porous layer. Transp Porous Media; 86:435 459, 2011. DOI: https://doi.org/10.1007/s11242-010-9630-8
- Nield D. A., “Onset of thermohaline convection in a porous medium,” Water Resources Research, vol.4, pp.553–560, 1968. DOI: https://doi.org/10.1029/WR004i003p00553
- Rudraiah, N. P. K. Srimani, and R. Friedrich, “Finite amplitude convection in a two-component fluid-saturated porous layer,” International Journal of Heat and Mass Transfer, vol. 25, no. 5, pp. 715–722, 1982. DOI: https://doi.org/10.1016/0017-9310(82)90177-6
- Schmitt R., “Double diffusion in oceanography,” Annual Review of Fluid Mechanics, vol. 26, no. 1, pp. 255–285, 1994. DOI: https://doi.org/10.1146/annurev.fl.26.010194.001351
- Sharma, R. C., and Rajender Singh Chandel. “Effect of suspended particles on couple-stress fluid heated and soluted from below in porous medium.” Journal of porous media 7, no. 1 2004. DOI: https://doi.org/10.1615/JPorMedia.v7.i1.30
- Sharma, R. C., Y. D. Sharma, and Rajender Singh Chandel. “On couple-stress fluid permeated with suspended particles heated from below.” Archives of Mechanics 54, no. 4: 287-298, 2002.
- Shivakumara IS, Lee J, Kumar SS, Devaraju N. Linear and nonlinear stability of double diffusive convection in a couple stress fluid–saturated porous layer. Arch Appl Mech.; 81(11), 1697 1715, 2011. DOI: https://doi.org/10.1007/s00419-011-0512-5
- Srivastava, Atul K., and P. Bera. “Influence of chemical reaction on stability of thermo-solutal convection of couple-stress fluid in a horizontal porous layer.” Transport in porous media 97, no. 2: 161-184, 2013. DOI: https://doi.org/10.1007/s11242-012-0116-8
- Sumithra. R., Mathematical modeling 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.
- Sumithra, R. “Double diffusive magneto Marangoni convection in a composite layer.” International Journal of Application or Innovation in Engineering and Management (IJAIEM) 3: 12-25, 2014.
- Sumithra, R., B. Komala, and N. Manjunatha. “Darcy-Benard double diffusive Marangoni convection with Soret effect in a composite layer system.” Malaya Journal of Matematik (MJM) 8, no. 4, 1473-1479, 2020. DOI: https://doi.org/10.26637/MJM0804/0023
- Taunton J. W., E. N. Lightfoot, and T. Green, “Thermohaline instability and salt fingers in a porous medium,” Physics of Fluids, vol. 15, pp. 748–753, 1972. DOI: https://doi.org/10.1063/1.1693979
- Tuner J. S., and H. E. Huppert, “Double-diffusive convection,” Journal of Fluid Mechanics, vol. 106, pp. 299–329, 1981. DOI: https://doi.org/10.1017/S0022112081001614
- Venkatachalappa, M, Prasad, V., Shivakumara, I, S. and Sumithra, R., Hydrothermal growth due to double diffusive convection in composite materials, Proceedings of 14th National Heat and Mass Transfer Conference and 3rd ISHMT – ASME Joint Heat and Mass transfer conference, December 29-31, 1997.
- Non-Darcy-Benard Double Diffusive Marangoni Convection with Dufour Effect in a Two-Layer System
Abstract Views :77 |
PDF Views:0
Authors
Affiliations
1 Associate Professor, Head of the Department, Department of UG, PG Studies & Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru 560 001, Karnataka., IN
2 Research Scholar, Department of UG, PG Studies & Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru 560 001, Karnataka., IN
1 Associate Professor, Head of the Department, Department of UG, PG Studies & Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru 560 001, Karnataka., IN
2 Research Scholar, Department of UG, PG Studies & Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru 560 001, Karnataka., IN
Source
Journal of Mines, Metals and Fuels, Vol 70, No 7A (2022), Pagination: 101-111Abstract
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.Keywords
Dufour Effect, Double Diffusive, Marangoni Convection.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