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.
[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.
[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.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:64806", author = "Noraini Ahmad and Seripah Awang Kechil and Norma Mohd Basir", title = "Thermosolutal MHD Mixed Marangoni Convective Boundary Layers in the Presence of Suction or Injection", 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.", volume = "5", number = "10", pages = "1649-6", }