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Dimensionless numbers have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. They include the Reynolds and the Mach numbers, which describe as ratios the relative magnitude of fluid and physical system characteristics, such as density, viscosity, speed of sound, and flow speed. To compare a real situation with a small-scale model it is necessary to keep the important characteristic numbers the same. Names and formulation of these numbers were standardized in ISO 31-12 and in ISO 80000-11.
References
- ↑ Bednarz, Tomasz; Tagawa, Toshio; Kaneda, Masayuki; Ozoe, Hiroyuki; Szmyd, Janusz S. (2004). "Magnetic and Gravitational Convection of Air with a Coil Inclined Around the X Axis". Numerical Heat Transfer, Part A: Applications. 46 (1): 99–113. Bibcode:2004NHTA...46...99B. doi:10.1080/10407780490457464. S2CID 119902658.
- ↑ Bednarz, Tomasz; Fornalik, Elzbieta; Tagawa, Toshio; Ozoe, Hiroyuki; Szmyd, Janusz S. (2006). "Convection of Paramagnetic Fluid in a Cube Heated and Cooled from Side Walls and Placed below a Superconducting Magnet - Comparison between Experiment and Numerical Computations" (PDF). Thermal Science & Engineering. 14 (4).
- ↑ Bednarz, Tomasz; Patterson, John C.; Lei, Chengwang; Ozoe, Hiroyuki (2009). "Enhancing natural convection in a cube using a strong magnetic field — Experimental heat transfer rate measurements and flow visualization". International Communications in Heat and Mass Transfer. 36 (8): 781–786. doi:10.1016/j.icheatmasstransfer.2009.06.005.
- ↑ Bednarz, Tomasz P.; Lin, Wenxian; Patterson, John C.; Lei, Chengwang; Armfield, Steven W. (2009). "Scaling for unsteady thermo-magnetic convection boundary layer of paramagnetic fluids of Pr>1 in micro-gravity conditions". International Journal of Heat and Fluid Flow. 30 (6): 1157–1170. doi:10.1016/j.ijheatfluidflow.2009.08.003.
- ↑ Phys. Fluids 16, 2228 (2004); doi:10.1063/1.1736691 (9 pages)
- ↑ Kumar, V., Dau, V., Javanbakht, Z., Seager, A., Nguyen, N., and Woodfield, P. (2023). Updated formulation of magnetic body force in ferrofluids. International Journal of Engineering Science, 192, 103929. https://doi.org/10.1016/j.ijengsci.2023.103929