Effect of a Magnetic Field on the Onset of Marangoni Convection in a Micropolar Fluid
With the presence of a uniform vertical magnetic field and suspended particles, thermocapillary instability in a horizontal liquid layer is investigated. The resulting eigenvalue is solved by the Galerkin technique for various basic temperature gradients. It is found that the presence of magnetic field always has a stability effect of increasing the critical Marangoni number.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1062544Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1289
 D.A. Nield, "Surface tension and buoyancy effects in the cellular convection of an electrically conducting liquid in a magnetic field", Zeitschrift f┬¿ur Angewandte Mathematik und Physik (ZAMP) 17 (1966) 131-139.
 M. Takashima, "Nature of the neutral state in convective instability induced by surface tension and buoyancy", Journal of Physical Society of Japan 28 (1970) 810.
 S.H. Davis, G.M. Homsy, "Energy stability theory for free surface problems: Buoyancy-thermocapillary layers", Journal of Fluid Mechanics 98 (1980) 527-553.
 D.A. Nield, "Surface tension and buoyancy effect in cellular convection", Journal of Fluid Mechanics 19 (1964) 341-352.
 N. Rudraiah, V. Ramachandramurthy, O.P. Chandna, "Effects of magnetic field and non-uniform temperature gradient on Marangoni convection", International Journal of Heat and Mass Transfer 28 (1985) 1621-1624.
 N. Rudraiah, P.G. Siddheshwar, "Effect of non-uniform basic temperature gradient on the onset of Marangoni convection in a fluid with suspended particles", Aerospace Science and Technology 4 (2000) 517-523.
 P.G. Siddheshwar, S. Pranesh, "Magnetoconvection in fluids with suspended particles under lg and ╬╝g", Aerospace Science and Technology 6 (2002) 105-114.
 M.I. Char, C.C. Chen, "Effect of a non-uniform temperature gradient on the onset of oscillatory B'enard-Marangoni convection of an electrically conducting liquid in a magnetic field", Int. J. Engrg. Sci. 41 (2003) 1711- 1727.
 I. Hashim, Z. Siri, "Stabilization of steady and oscillatory Marangoni instability in rotating fluid layer by feedback control strategy, Numerical Heat Transfer", Part A: Applications 54(6) (2008) 647-663.
 S. Awang Kechil, I. Hashim, "Control of Marangoni instability in a layer of variable-viscosity fluid", International Communication in Heat and Mass Transfer doi:10.1016/j.icheatmasstransfer.2008.06.006
 Z. Siri, I. Hashim, "Control of oscillatory Marangoni convection in a rotating fluid layer", International Communication in Heat and Mass Transfer doi:10.1016/j.icheatmasstransfer.2008.06.008
 S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Oxford University Press, Oxford, 1961.
 K.-T. Chiang, "Effect of a non-uniform basic temperature gradient on the onset of Benard-Marangoni convection: Stationary and oscillatory analyses", International Communication in Heat and Mass Transfer 32 (2005) 192-203.
 M.H.O. Dupont, M. Hennenberg, J.C. Legros, "Marangoni-B'enard instabilities under non-steady conditions: Experimental and theoretical results", International Journal of Heat and Mass Transfer 35 (1992) 3237- 3244.