In this paper, the effect of transverse magnetic field on a laminar liquid lead lithium flow in an insulating rectangular duct is numerically solved with three-dimensional (3D) simulations. Cases with and without buoyancy force are examined. The stability of the buoyant flow is studied for different values of the Hartmann number from 0 to 120. We focus on the combined influence of the Hartmann number and buoyancy on flow field, flow structure in the vicinity of walls and its stability. Velocity and temperature distributions are presented for different magnetic field strengths. It is shown that the magnetic field damps the velocity and leads to flow stabilization in the core fluid and generates magnetohydrodynamic (MHD) boundary layers at the walls, which become the main source of instabilities. The buoyant force is responsible of the generation of vortices and enhances the velocities in the core region. It can act together with the MHD forces to intensify the flow near the Hartmann layers. Two critical Hartmann numbers (Hac1 = 63, Hac2 = 120) are found. Hac1 is corresponding to the separation of two MHD regimes: the first one is characterized by a core flow maximum velocity, whereas the second regime is featured by a maximum layer velocity and a pronounced buoyancy effect. Hac2 is a threshold value of electromagnetic force indicating the onset of MHD instability through the generation of small vortices close to the side layers.
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June 2017
Research-Article
Numerical Study of the Buoyancy Effect on Magnetohydrodynamic Three-Dimensional LiPb Flow in a Rectangular Duct
Tigrine Zahia,
Tigrine Zahia
Faculty of Physics,
Thermodynamics and Energetic
Systems Laboratory,
University of Sciences and Technology Houari Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar,
Algiers 16111, Algeria;
Thermodynamics and Energetic
Systems Laboratory,
University of Sciences and Technology Houari Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar,
Algiers 16111, Algeria;
Unité de Développement des
Equipements Solaires,
UDES/Centre de Développement des Energies
Renouvelables, CDER,
Bou-Ismail, Tipaza 42415, Algeria
e-mail: phyzahia@yahoo.fr
Equipements Solaires,
UDES/Centre de Développement des Energies
Renouvelables, CDER,
Bou-Ismail, Tipaza 42415, Algeria
e-mail: phyzahia@yahoo.fr
Search for other works by this author on:
Mokhtari Faiza,
Mokhtari Faiza
Faculty of Physics,
Thermodynamics and Energetic Systems
Laboratory,
University of Sciences and Technology Houari
Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar
Algiers 16111, Algeria
e-mail: faiza_mokhtari@yahoo.fr
Thermodynamics and Energetic Systems
Laboratory,
University of Sciences and Technology Houari
Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar
Algiers 16111, Algeria
e-mail: faiza_mokhtari@yahoo.fr
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Bouabdallah Ahcène,
Bouabdallah Ahcène
Faculty of Physics,
Thermodynamics and Energetic
Systems Laboratory,
University of Sciences and Technology Houari
Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar
Algiers 16111, Algeria
e-mail: abbouab2002@yahoo.fr
Thermodynamics and Energetic
Systems Laboratory,
University of Sciences and Technology Houari
Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar
Algiers 16111, Algeria
e-mail: abbouab2002@yahoo.fr
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Merah AbdelKrim,
Merah AbdelKrim
Faculty of Physics,
Thermodynamics and Energetic Systems
Laboratory,
University of Sciences and Technology Houari
Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar
Algiers 16111, Algeria
e-mail: karim_merah@yahoo.fr
Thermodynamics and Energetic Systems
Laboratory,
University of Sciences and Technology Houari
Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar
Algiers 16111, Algeria
e-mail: karim_merah@yahoo.fr
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Kharicha Abdellah
Kharicha Abdellah
Department of Metallurgy,
Montauniversität Leoben,
Franz-Josef-Str. 18,
Leoben A-8700, Austria
e-mail: abdellah.kharicha@unileoben.ac.at
Montauniversität Leoben,
Franz-Josef-Str. 18,
Leoben A-8700, Austria
e-mail: abdellah.kharicha@unileoben.ac.at
Search for other works by this author on:
Tigrine Zahia
Faculty of Physics,
Thermodynamics and Energetic
Systems Laboratory,
University of Sciences and Technology Houari Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar,
Algiers 16111, Algeria;
Thermodynamics and Energetic
Systems Laboratory,
University of Sciences and Technology Houari Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar,
Algiers 16111, Algeria;
Unité de Développement des
Equipements Solaires,
UDES/Centre de Développement des Energies
Renouvelables, CDER,
Bou-Ismail, Tipaza 42415, Algeria
e-mail: phyzahia@yahoo.fr
Equipements Solaires,
UDES/Centre de Développement des Energies
Renouvelables, CDER,
Bou-Ismail, Tipaza 42415, Algeria
e-mail: phyzahia@yahoo.fr
Mokhtari Faiza
Faculty of Physics,
Thermodynamics and Energetic Systems
Laboratory,
University of Sciences and Technology Houari
Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar
Algiers 16111, Algeria
e-mail: faiza_mokhtari@yahoo.fr
Thermodynamics and Energetic Systems
Laboratory,
University of Sciences and Technology Houari
Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar
Algiers 16111, Algeria
e-mail: faiza_mokhtari@yahoo.fr
Bouabdallah Ahcène
Faculty of Physics,
Thermodynamics and Energetic
Systems Laboratory,
University of Sciences and Technology Houari
Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar
Algiers 16111, Algeria
e-mail: abbouab2002@yahoo.fr
Thermodynamics and Energetic
Systems Laboratory,
University of Sciences and Technology Houari
Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar
Algiers 16111, Algeria
e-mail: abbouab2002@yahoo.fr
Merah AbdelKrim
Faculty of Physics,
Thermodynamics and Energetic Systems
Laboratory,
University of Sciences and Technology Houari
Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar
Algiers 16111, Algeria
e-mail: karim_merah@yahoo.fr
Thermodynamics and Energetic Systems
Laboratory,
University of Sciences and Technology Houari
Boumediène (USTHB),
B.P32 El Alia, Bab Ezzouar
Algiers 16111, Algeria
e-mail: karim_merah@yahoo.fr
Kharicha Abdellah
Department of Metallurgy,
Montauniversität Leoben,
Franz-Josef-Str. 18,
Leoben A-8700, Austria
e-mail: abdellah.kharicha@unileoben.ac.at
Montauniversität Leoben,
Franz-Josef-Str. 18,
Leoben A-8700, Austria
e-mail: abdellah.kharicha@unileoben.ac.at
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 8, 2016; final manuscript received December 18, 2016; published online April 5, 2017. Assoc. Editor: Shizhi Qian.
J. Fluids Eng. Jun 2017, 139(6): 061201 (9 pages)
Published Online: April 5, 2017
Article history
Received:
July 8, 2016
Revised:
December 18, 2016
Citation
Zahia, T., Faiza, M., Ahcène, B., AbdelKrim, M., and Abdellah, K. (April 5, 2017). "Numerical Study of the Buoyancy Effect on Magnetohydrodynamic Three-Dimensional LiPb Flow in a Rectangular Duct." ASME. J. Fluids Eng. June 2017; 139(6): 061201. https://doi.org/10.1115/1.4035636
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