Two Component Benard-Marangoni Convection in a Composite System Subjected to Variable Heat Source

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Authors

  • Department of UG, PG Studies and Research in Mathematics, Government Science College Autonomous, Bengaluru, Karnataka ,IN
  • Department of UG, PG Studies and Research in Mathematics, Government Science College Autonomous, Bengaluru, Karnataka ,IN
  • Department of UG, PG Studies and Research in Mathematics, Government Science College Autonomous, Bengaluru, Karnataka ,IN

DOI:

https://doi.org/10.18311/jmmf/2022/31854

Keywords:

Marangoni Convection, Double Diffusive Convection, Variable Heat Source.

Abstract

Double diffusive convection is the phenomena that describes the convection driven by two differ-ent densities which have different rates of diffusion. A comparison of two temperature boundaries when i) both the surfaces are set at adiabatic temperature, and ii)upper free surface is adiabatic and lower rigid surface is isothermal cases, on surface tension driven double diffusive convection in a horizontal composite layer is studied analytically using exact method. For both cases i) and ii), the thermal Marangoni number (Tmn) is determined, which is the eigen value, for upper free and lower rigid velocity boundary conditions. The results indicate that the given system is a fluid dominant composite system and adiabatic-isothermal thermal boundary is more stable compare to adiabatic-adiabatic boundary condition.

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Published

2022-11-02

How to Cite

Sumithra, R., Archana, M. A., & Acharya, D. R. (2022). Two Component Benard-Marangoni Convection in a Composite System Subjected to Variable Heat Source. Journal of Mines, Metals and Fuels, 70(7A), 53–63. https://doi.org/10.18311/jmmf/2022/31854

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References

Altawallbeh, A.A., Bhadauria, B.S., and Hashim, I. Linear and nonlinear double-diffusive convection in a saturated anisotropic porous layer with soret effect and internal heat source. International Journal of Heat and Mass Transfer, 59(2013), 103-111. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2012.12.005

Bahadori, F and Rezvantalab, S. Effects of temperature and concentration dependent viscosity on onset of convection in orous media. Journal of Chemical Technology and Metallurgy, 49(2014), 541-544.

Bergman, T.L. Numerical simulation of double-diffusive Marangoni convection. Physics of Fluids, 29(1986), 2103-08. DOI: https://doi.org/10.1063/1.865597

Gaikwad, S.N., and Dhanraj, M. Onset of double diffusive reaction-convection in an anisotropic porous layer with internal heat source. 5th International Conference on Porous Media and Their Applications in Science, Engineering and Industry, ECI Symposium Series(2104).

Gangadharaiah, Y.H. Double diffusive surface yension driven convection in a superposed fluid-porous system. internationl Journal of Thermofluid Science and Technology, 8(2021), 080301.

Hill, A.A. Double-diffusive convection in a porous medium with a concentration based internal heat source. Proc. Roy.Soc.A, 461(2005), 56-574. DOI: https://doi.org/10.1098/rspa.2004.1328

Khalid, I.K., Mokhtar, N.F.M., Hashim, I., Ibrahim, Z.B., Gani, S.S.A. Effect of internal heat source on the onset of double-diffusive convection in a rotating nanofluid layer with feedback control strategy. Advances in Mathematical Physics, 2017(2017), 1-12. DOI: https://doi.org/10.1155/2017/2789024

Manjunatha, N and Sumithra, R. Effects of non-uniform temperature gradients on double diffusive Marangoni convection in a two layer system. International Journal of Pure and Aplied Mathematics, 118(2018), 203-219.

Majunatha, N., Sumithra, R., Vanishree, R.K. Darcy-Benard double diffusive Marangoni convection in a composite system with constant heat source along with non uniform temperature gradients. Malayasian Journal of Fundamental and Applied Sciences, 17(2021), 7-15. DOI: https://doi.org/10.11113/mjfas.v17n1.1984

Ming-I Char and Ko-Tai Chang. Effect of interfacial deformation on the onset of convective instability in a doubly diffusive fluid layer. International Journal of Heat and Mass Transfer, 39(1996), 407-418. DOI: https://doi.org/10.1016/0017-9310(95)00129-W

Neela, Deepika and Matta, Anjanna and Anantha, Lakshmi Narayana, Puranam. Effect of throughflow on double diffusive convection in a porous medium with concentration based internal heat source. Journal of Porous Media, 19(2016), 303-312. DOI: https://doi.org/10.1615/JPorMedia.v19.i4.20

Sumithra, R. Mathematical modeling of Hydrothermal growth of crystals as double diffusive convection in composite layer bounded by rigid walls. International Journal of Engineering Sci- ence and Technology, 4(2012), 779-791.

Sumithra, R., Archana, M.A., Vanishree, R.K. Darcy-Benard surface tension driven convection in a composite layer with temperature dependent heat source. Malaya Journal of Mathematik, 8(2020), 2074-81. DOI: https://doi.org/10.26637/MJM0804/0127

Sumithra, R., Vanishree, R.K., Deepa R Acharya. Non-Darcian Benard Marangoni Convection in a superposed fluid-porous layer with temperature dependent heat source. Malaya Journal of Mathematik, 8(2020), 2233-42. DOI: https://doi.org/10.26637/MJM0804/0155

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