Thermosolutal MHD Mixed Marangoni Convective Boundary Layers in the Presence of Suction or Injection

Authors: Noraini Ahmad, Seripah Awang Kechil, Norma Mohd Basir

Abstract:

The steady coupled dissipative layers, called Marangoni mixed convection boundary layers, in the presence of a magnetic field and solute concentration that are formed along the surface of two immiscible fluids with uniform suction or injection effects is examined. The similarity boundary layer equations are solved numerically using the Runge-Kutta Fehlberg with shooting technique. The Marangoni, buoyancy and external pressure gradient effects that are generated in mixed convection boundary layer flow are assessed. The velocity, temperature and concentration boundary layers thickness decrease with the increase of the magnetic field strength and the injection to suction. For buoyancy-opposed flow, the Marangoni mixed convection parameter enhances the velocity boundary layer but decreases the temperature and concentration boundary layers. However, for the buoyancy-assisted flow, the Marangoni mixed convection parameter decelerates the velocity but increases the temperature and concentration boundary layers.

Keywords: Magnetic field, mixed Marangoni convection, similarity boundary layers, solute concentration.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1335482

References:

[1] K. Arafune, and A. Hirata, "Thermal and solutal Marangoni convection in In-Ga-Sb system," Journal of Crystal Growth, vol. 197, pp. 811−817, 1999.
[2] D. M. Christopher, and B. Wang, "Prandtl number effects for Marangoni convection over a flat surface," International Journal Thermal Sciences, vol. 40, pp. 564−570, 2001.
[3] I. Pop, A. Postelnicu, and T. Grosan, "Thermosolutal Marangoni forced convection boundary layers," Meccanica, vol. 36, pp. 555−571, 2001.
[4] A. Al-Mudhaf, and A. J. Chamkha, "Similarity solutions for MHD thermosolutal Marangoni convection over a flat surface in the presence of heat generation or absorption effects," Heat and Mass Transfer, vol. 42, pp. 112−121, 2005.
[5] E. Magyari, and A. J. Chamkha, "Exact analytical solutions for thermosolutal Marangoni convection in the presence of heat and mass generation or consumption," Heat and Mass Transfer, vol. 43, pp. 965-975, 2007.
[6] E. Magyari, and A. J. Chamkha, "Exact analytical results for the thermosolutal MHD Marangoni boundary layer," International Journal of Thermal Sciences, vol. 47, pp. 848−857, 2008.
[7] T. Watanabe, "Forced and free mixed convection boundary layer flow with uniform suction or injection on a vertical flat plate," Acta Mechanica, vol. 89, pp. 123−132, 1991.
[8] C. C. Wang and C. K. Chen, "Mixed convection boundary layer flow on inclined wavy plates including the magnetic field effect," International Journal of Thermal Sciences, vol. 44, pp. 577−586, 2005.
[9] D. Pal, " Mixed convection heat transfer in the boundary layers on an exponentially stretching surface with magnetic field," Applied Mathematics and Computation, vol. 217, pp. 2356−2369, 2010.
[10] N. Arifin, F. Ali, R. Nazar, and I. Pop, "Thermosolutal Marangoni mixed convection boundary layer," in Proc. of the 9th WSEAS international conference applications of Computer Engineering, Netherlands, 2001, pp. 214−218.
[11] J. Zueco, and O. A. Bég, "Network numerical simulation of hydromagnetic Marangoni mixed convection boundary layers," Chemical Engineering Communications, vol. 198, pp. 552−571, 2011.
[12] A. J. Chamkha, I. Pop, and H. S. Takhar, " Marangoni mixed convection boundary layer flow," Meccanica, vol. 41, pp. 219−232, 2006.
[13] B. Straughan, "Surface tension driven convection in a fluid overlying a porous layer, "Journal of Computational Physics, vol. 170, pp. 320−337, 2001.
[14] C. Golia, and A. Viviani, "Non isobaric boundary layers related to Marangoni flows," Meccanica, vol. 21, pp. 200−204, 1986.