The flow of electrically conducting fluids is vital in engineering applications such as Magneto-hydro-dynamic (MHD) generators, Fusion reactors, cooling systems, and Geo-physics. In this study, a mathematical model has been formulated to investigate the effect of temperature on power generation in different sections of an MHD Generator with salt solution (Seawater) as the working fluid. Also, the Lattice Boltzmann method was employed to simulate the fluid flow in an MHD generator for different inlet temperatures in Python. The impact of the working fluid’s inlet temperature on power generation has been established by varying the inlet temperature of the working fluid. The temperature, velocity, and electrical power profiles along and across the generator channel have been extracted and analyzed. The results affirm and complement the findings of experimental and analytical studies of MHD power generation. The study established that high temperature enhances velocity and pressures at the inlet, facilitating ionization and conductivity of the working fluid and resulting in peak electric power within one-fifth of the generator channel. Reduction in temperature towards the outlet results in decreased ionization and low conductivity of the working fluid, accounting for a decline in electric power. The study further revealed that maximum power is obtained from the inlet region along a three-fifths section of the generator. The power then declines in the last two-fifths of the generator channel and stabilizes asymptotically towards the outlet.
References
[1]
Sivasubramanian, S. (2017) Analysis on Performance of Magneto Hydro Dynamics Power Generation. International Journal of Engineering Research & Technology, 5, 5-7.
[2]
Krishan, V. (1999) Magnetohydrodynamics of Conducting Fluids. In: Krishan, V., Ed., AstrophysicsandSpaceScienceLibrary, Springer, 117-195. https://doi.org/10.1007/978-94-011-4720-0_4
[3]
Awais, M., Raja, M.A.Z., Awan, S.E., Shoaib, M. and Ali, H.M. (2021) Heat and Mass Transfer Phenomenon for the Dynamics of Casson Fluid through Porous Medium over Shrinking Wall Subject to Lorentz Force and Heat Source/sink. AlexandriaEngineeringJournal, 60, 1355-1363. https://doi.org/10.1016/j.aej.2020.10.056
[4]
Bera, T.K. (2020) A Magnetohydrodynamic (MHD) Power Generating System: A Technical Review. IOPConferenceSeries:MaterialsScienceandEngineering, 955, Article 012075. https://doi.org/10.1088/1757-899x/955/1/012075
[5]
Li, Y., Li, Y., Lu, H., Zhu, T., Zhang, B., Chen, F., et al. (2011) Preliminary Experimental Investigation on MHD Power Generation Using Seeded Supersonic Argon Flow as Working Fluid. ChineseJournalofAeronautics, 24, 701-708. https://doi.org/10.1016/s1000-9361(11)60082-4
[6]
Ajith Krishnan, R. and Jinshah, B.S. (2013) Magneto Hydrodynamic Power Generation. InternationalJournalofScientificandResearchPublications, 3, 1-11.
[7]
Sene, F., Caicedo, C. and Fahimi, B. (2022) Spin Hydrodynamic Power Generation and Its Influence on Magnetohydrodynamic Effects. OpenJournalofFluidDynamics, 12, 213-229. https://doi.org/10.4236/ojfd.2022.122010
[8]
Rosa, R.J., Krueger, C.H. and Shioda, S. (1991) Plasmas in MHD Power Generation. IEEETransactionsonPlasmaScience, 19, 1180-1190. https://doi.org/10.1109/27.125040
[9]
Tanaka, M., Aoki, Y., Zhao, L. and Okuno, Y. (2016) Experiments on High-Temperature Xenon Plasma Magnetohydrodynamic Power Generation. IEEETransactionsonPlasmaScience, 44, 1241-1246. https://doi.org/10.1109/tps.2016.2565600
[10]
Wang, Y., Cheng, K., Xu, J., Jing, W., Huang, H. and Qin, J. (2024) Novel Onboard High-Power Electricity Generation System of Closed-Brayton-Cycle Enhanced by Multi-Stage LMMHD Generators: Coupling Analysis with Propulsion System. AppliedThermalEngineering, 257, Article 124250.
[11]
Ork, K., Masuda, R. and Okuno, Y. (2024) Fundamental Experiment and Numerical Simulation of Ne/Xe Plasma Magnetohydrodynamic Electrical Power Generation. JournalofPropulsionandPower, 40, 368-379. https://doi.org/10.2514/1.b39352
[12]
Kimsor, O., Kodera, Y. and Okuno, Y. (2023) Fundamental Experiment and Numerical Simulation of Pre‐Ionized Inert Gas Plasma MHD Electrical Power Generation. ElectricalEngineeringinJapan, 216, e23449. https://doi.org/10.1002/eej.23449
[13]
Domínguez-Lozoya, J.C., Domínguez-Lozoya, D.R., Cuevas, S. and Ávalos-Zúñiga, R.A. (2024) MHD Generation for Sustainable Development, from Thermal to Wave Energy Conversion: Review. Sustainability, 16, Article 10041. https://doi.org/10.3390/su162210041
[14]
Aoki, M. and Takeda, M. (2022) Study on the Effect of Magnetic Field on Seawater Electrolysis Using a Channel Flow Cell to Simulate a Linear-Type Seawater Magnetohydrodynamic Power Generator. ChemistryLetters, 51, 542-545. https://doi.org/10.1246/cl.220047
[15]
Takeda, M., Okuji, Y., Akazawa, T., Liu, X. and Kiyoshi, T. (2005) Fundamental Studies of Helical-Type Seawater MHD Generation System. IEEETransactionsonAppliedSuperconductivity, 15, 2170-2173. https://doi.org/10.1109/tasc.2005.849604
[16]
Foldes, R., Lévêque, E., Marino, R., Pietropaolo, E., De Rosis, A., Telloni, D., et al. (2023) Efficient Kinetic Lattice Boltzmann Simulation of Three-Dimensional Hall-Mhd Turbulence. JournalofPlasmaPhysics, 89. https://doi.org/10.1017/s0022377823000697
[17]
Mora, P., Morra, G. and Yuen, D.A. (2019) A Concise Python Implementation of the Lattice Boltzmann Method on HPC for Geo-Fluid Flow. GeophysicalJournalInternational, 220, 682-702. https://doi.org/10.1093/gji/ggz423
[18]
Mohamad, A. (2011) Lattice Boltzmann Method, Volume 70. Springer.
[19]
Xiong, W. and Zhang, J. (2011) A Two-Dimensional Lattice Boltzmann Model for Uniform Channel Flows. Computers&MathematicswithApplications, 61, 3453-3460. https://doi.org/10.1016/j.camwa.2010.02.040
[20]
Jamali Ghahderijani, M., Esmaeili, M., Afrand, M. and Karimipour, A. (2017) Numerical Simulation of MHD Fluid Flow Inside Constricted Channels Using Lattice Boltzmann Method. JournalofAppliedFluidMechanics, 10, 1639-1648. https://doi.org/10.29252/jafm.73.245.27885
[21]
Miyan, M. (2018) Analysis on the MHD Power Generation Technology. WorldWideJournalofMultidisciplinaryResearchandDevelopment, 4, 309-313.
[22]
Krüger, T., Kusumaatmaja, H., Kuzmin, A., Shardt, O., Silva, G., and Viggen, E.M. (2017) The Lattice Boltzmann Method. Springer International Publishing, 4-15.
[23]
Wu, L., Tsutahara, M. and Tajiri, S. (2007) Finite Difference Lattice Boltzmann Method for Incompressible Navier-Stokes Equation Using Acceleration Modification. JournalofFluidScienceandTechnology, 2, 35-44. https://doi.org/10.1299/jfst.2.35
[24]
E-sparX (2020) Magneto-Hydrodynamics (MHD) Generator-Non-Conventional Energy System. YouTube Video.
