Effect of Horizontal Magnetic Field on Soret Factor in Double Diffusion

PDF

Published: 2023-02-15

Page: 46-72


Suman Sindhwani *

Hindu Girls College, Sonipat, India.

Rachana Gupta

Hindu Girls College, Sonipat, India.

*Author to whom correspondence should be addressed.


Abstract

In this paper linear stability analysis for the onset of convection in a Darcy Maxwell Buongiorno’s nanofluid layer with horizontal magnetic field has been done. It is assumed that nanoparticle flux is zero on the boundaries. Both stationary and oscillatory convection are investigated using normal mode technique. It is found that critical Rayleigh Number increases with an increase in the magnetic Chandrasekhar number. Stability of system has been investigated with effects of Lewis number, concentration Rayleigh number, modified diffusivity ratio and magnetic field. For stationary as well as oscillatory motion, magnetic field is found to stabilise the nanofluid layer. The effects of various parameters on thermal Rayleigh Number have been presented graphically.

Keywords: Darcy-maxwell nanofluid, magnetic field, Chandrasekhar Number, Critical Rayleigh Number


How to Cite

Sindhwani, S., & Gupta, R. (2023). Effect of Horizontal Magnetic Field on Soret Factor in Double Diffusion. Asian Journal of Pure and Applied Mathematics, 5(1), 46–72. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/1748

Downloads

Download data is not yet available.

References

Nield DA, Bejan A. Convection in Porous Media. third ed., Springer-Verlag, New York; 2006.

Ingham DB, Pop I. Transport Phenomena in Porous Media. Pergamon, Oxford. 2005;3.

Vafai K. Handbook of Porous Media, second edition, Taylor and Francis Group, LLC, US; 2005.

Horton CW, Rogers FT, Convection currents in a porous medium. Journal of Applied Physics. 1945;16(6):367-370.

Lapwood ER. Convection of a fluid in a porous medium. Journal of Applied Physics. 1948;16:367-370.

Haaajizadeh M, Ozgue AF, Tien CI. Natural convection in a vertical porous enclosure with internal heat generation. International Journal of Heat and Mass Transfer. 1984;27:1893-1902.

Gaikwad SN, Malashetty MS, Prasad KR. An analytical study of linear and non-linear double diffusive convection with Soret and Dufour effects in couple stress fluids. International Journal of Non-Linear Mechanics. 2007;42:903-913.

Malashetty MS, Swamy M. The effect of rotation on the onset of convection in a horizontal porous layer. International Journal of Thermal Sciences. 2007;46:1023- 1032.

Wang S, Tan W. Stability analysis of soret-driven double-diffusive convection of Maxwell fluid in a porous medium. International Journal of Heat and Fluid flow. 2011;32(1):88-94.

Singh R, Bishnoi J, Tyagi VK, Onset of Soret driven instability in a Darcy -Maxwell nanofluid. SN Applied Sciences. 2019;1(10):1-29.

Bahlowl A, Boutana N, Vasseur P. Double-diffusive and Soret-induced convection in a shallow horizontal porous layer. Journal of Fluid Mechanics. 2003;491:325-352.

Mansour A, Amahmid A, Hasnaoui M, Bourich M. Multiplicity of solutions induced by thermosolutal convection in a square porous cavity heated from below and submitted to horizontal concentration gradient in the presence of Soret effect. Numerical Heat Transfer, Part A. 2006;49:69-94.

Postelnicu A. Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects. International Journal of Heat and Mass Transfer. 2004;47:1467-1475.

Rajput US, Shareef M, Study of Soret and Ion slip effects on MHD flow near an oscillating vertical plate in a rotating system. Int. J. AAM. 2018;13:516-534.

Agarwal S, Sacheti NC, Chandran P, Bhadauria BS, Singh AK. Non-linear convective transport in a binary nanofluid saturated porous layer. Transport in Porous Media. 2012;93:29-49.

Buongiorno J. Convective transport in nanofluids. ASME Journal of Heat Transfer. 128(3):240-250. 2006.

Chandrasekhar S. “Hydrodynamic and Hydromagnetic Stability” , Dover Publication, New- York; 1981.

Rudraiah N, Ramachandramurthy V. Effects of non-uniform temperature gradient and Coriolis force on Benard-Marangoni instability. Acta Mech. 1986;61:37-50.

Alchaar S, Vasseur P, Bilgen E. Effects of a magnetic field on the onset of convection in a porous medium. Heat and Mass Transfer. 1995;30:259-267.

Jha BK, Oni MO. Impact of mode of application of magnetic field on rate of heat transfer of rarefied gas flows in a microtube. Alexandria Engineering Journal. 2018;57:1955-1962.

Zahn M, Rosensweig RE. Stability of magnetic field penetration through a porous medium with uniform magnetic field oblique to the interface. IEEE Transactions on magnetics. 1980;16(2):275-282.

Singh R, Bishnoi J, Tyagi VK. Onset of Soret driven instability in a Darcy -Maxwell nanofluid” , SN Applied Sciences. 2019;1(10):1-29.

Sindhwani S, Rachana, Tyagi VK. Magneto Convective transport in a Darcy Maxwell nanofluid : Effect of Vertical Magnetic Field. Wesleyan Journal of Research. 2021;13(65):1-15.

Horton CW, Rogers FT. Convection currents in a porous medium. Journal of Applied Physics. 1945;16(6):367-370.

Bammou L, Souhar K, Alami S, Feddaoui M, Guer Y. Linear stability analysis of mixed convection flow in a horizontal channel filled with nanofluids. Heat Transfer Wiley; 2020. DOI: 10.1002/htj.21721