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

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.

Authors:

• Noraini Ahmad
• Seripah Awang Kechil
• Norma Mohd Basir

Keywords:

• Magnetic field
• mixed Marangoni convection
• similarity boundary layers
• solute concentration.

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.