Study on Magnetohydrodynamic Flow Past Two Circular Cylinders in Staggered Arrangement
Keywords:Magnetohydrodynamic Flow, OpenFOAM, Heat Transfer, Hartmann number, Nusselt number, Reynolds number
The fusion reactor is anticipated to be a new source of clean energy. Magnetohydrodynamic flow in the fusion blanket is expected to cause the flow to be highly stable, causing the heat transfer to be poor. Passive vortex promoter such as bluff body is one of the methods found to be has a great potential in optimizing the heat transfer. In this study, two circular cylinders in a staggered arrangement are introduced to promote vortices to enhance heat convection from a heated wall using an electrically conducting fluid under a constant magnetic field. The effect of the Hartmann friction parameter and the height differential onto the Nusselt number were examined. Modified Navier—Stokes equations known as SM82 were used using OpenFOAM to simulate the confined, quasi-two-dimensional, incompressible and laminar MHD flow past the bluff bodies. It was found that the heat transfer is better when the height differential is small.
Tassone, Alessandro, Gianfranco Caruso, Fabio Giannetti, and Alessandro Del Nevo. "MHD mixed convection flow in the WCLL: Heat transfer analysis and cooling system optimization." Fusion Engineering and Design 146 (2019): 809-813. https://doi.org/10.1016/j.fusengdes.2019.01.087
Müller, Ulrich, and Leo Bühler. Magnetofluiddynamics in channels and containers. Springer Science & Business Media, 2013.
Singh, Ranjit J., and Trushar B. Gohil. "The numerical analysis on the development of Lorentz force and its directional effect on the suppression of buoyancy-driven flow and heat transfer using OpenFOAM." Computers & Fluids 179 (2019): 476-489. https://doi.org/10.1016/j.compfluid.2018.11.017
Umeda, Naotaka, and Minoru Takahashi. "Numerical analysis for heat transfer enhancement of a lithium flow under a transverse magnetic field." Fusion Engineering and Design 51 (2000): 899-907. https://doi.org/10.1016/S0920-3796(00)00424-5
Aylı, Ece, and Özgür Bayer. "Optimization of Vortex Promoter Parameters to Enhance Heat Transfer Rate in Electronic Equipment." Journal of Thermal Science and Engineering Applications 12, no. 2 (2020): 021001. https://doi.org/10.1115/1.4043994
Mück, B., C. Günther, U. Müller, and L. Bühler. "Three-dimensional MHD flows in rectangular ducts with internal obstacles." Journal of Fluid Mechanics 418 (2000): 265-295. https://doi.org/10.1017/S0022112000001300
Hussam, Wisam K., Mark C. Thompson, and Gregory J. Sheard. "Dynamics and heat transfer in a quasi-two-dimensional MHD flow past a circular cylinder in a duct at high Hartmann number." International Journal of Heat and Mass Transfer 54, no. 5-6 (2011): 1091-1100. https://doi.org/10.1016/j.ijheatmasstransfer.2010.11.013
Bhuyan, Pranjal Jyoti, and Kalyan S. Goswami. "Effect of magnetic field on MHD pressure drop inside a rectangular conducting duct." IEEE Transactions on Plasma Science 36, no. 4 (2008): 1955-1959. https://doi.org/10.1109/TPS.2008.927136
Hussam, Wisam K., and Gregory J. Sheard. "Heat transfer in a high Hartmann number MHD duct flow with a circular cylinder placed near the heated side-wall." International Journal of Heat and Mass Transfer 67 (2013): 944-954. https://doi.org/10.1016/j.ijheatmasstransfer.2013.08.081
Hamid, Ahmad HA, Wisam K. Hussam, Alban Pothérat, and Gregory J. Sheard. "Spatial evolution of a quasi-two-dimensional Kármán vortex street subjected to a strong uniform magnetic field." Physics of Fluids 27, no. 5 (2015): 053602. https://doi.org/10.1063/1.4919906
Thompson, Mark C., Thomas Leweke, and Michel Provansal. "Kinematics and dynamics of sphere wake transition." Journal of Fluids and Structures 15, no. 3-4 (2001): 575-585. https://doi.org/10.1006/jfls.2000.0362
Mittal, S., and Vinod Kumar. "Flow-induced oscillations of two cylinders in tandem and staggered arrangements." Journal of Fluids and Structures 15, no. 5 (2001): 717-736. https://doi.org/10.1006/jfls.2000.0376
Borazjani, Iman, and Fotis Sotiropoulos. "Vortex-induced vibrations of two cylinders in tandem arrangement in the proximity-wake interference region." Journal of Fluid Mechanics 621 (2009): 321-364. https://doi.org/10.1017/S0022112008004850
Mathupriya, P., L. Chan, H. Hasini, and A. Ooi. "Numerical study of flow characteristics around confined cylinder using openFOAM." International Journal of Engineering and Technology 7, no. 4 (2018): 617-623. https://doi.org/10.14419/ijet.v7i4.35.22925
Sommeria, JoëL, and René Moreau. "Why, how, and when, MHD turbulence becomes two-dimensional." Journal of Fluid Mechanics 118 (1982): 507-518. https://doi.org/10.1017/S0022112082001177
Dousset, Vincent, and Alban Pothérat. "Numerical simulations of a cylinder wake under a strong axial magnetic field." Physics of Fluids 20, no. 1 (2008): 017104. https://doi.org/10.1063/1.2831153
Burr, Ulrich, L. Barleon, U. Müller, and A. Tsinober. "Turbulent transport of momentum and heat in magnetohydrodynamic rectangular duct flow with strong sidewall jets." Journal of Fluid Mechanics 406 (2000): 247-279. https://doi.org/10.1017/S0022112099007405
Yoon, H. S., H. H. Chun, M. Y. Ha, and H. G. Lee. "A numerical study on the fluid flow and heat transfer around a circular cylinder in an aligned magnetic field." International Journal of Heat and Mass Transfer 47, no. 19-20 (2004): 4075-4087. https://doi.org/10.1016/j.ijheatmasstransfer.2004.05.015
Umair, Siddique Mohammed, Abdulrahman Alrobaian, Sher Afghan Khan, Marthande Gnanagonda Kashinath, and Patil Rajesh. "Numerical Investigation of Critical Range for the Occurrence of Secondary Peaks in the Nusselt Distribution Curve." CFD Letters 10, no. 2 (2018): 1-17.
Siddique, Umair, Emaad Ansari, Sher Afghan Khan, and Rajesh Patil. "Numerical Investigation of Semi-Empirical Relation Representing Standard Deviation in Nusselt Profile Due to Water Jet Impingement." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 65, no. 1 (2020): 42-53.
Pothérat, Alban, Joël Sommeria, and René Moreau. "Effective boundary conditions for magnetohydrodynamic flows with thin Hartmann layers." Physics of Fluids 14, no. 1 (2002): 403-410. https://doi.org/10.1063/1.1423287
Hussam, Wisam K. Mark C. Thompson, and Gregory J. Sheard. "Enhancing heat transfer in a high Hartmann number magnetohydrodynamic channel flow via torsional oscillation of a cylindrical obstacle." Physics of Fluids 24, no. 11 (2012): 113601. https://doi.org/10.1063/1.4767515