Abstract
Experiments were conducted to study the temperature field, flow field, 3-D characteristics and self-sustained oscillation of the natural air convection in a 3-D shallow cavity which was heated from underneath. The experiments were conducted by the methods of laser holographic interferometry photography and smoke visualization. To ensure the temperature of both plates to be constant and the accuracy of laser interferometer, the instrument was calibrated and error has was analyzed. The results showed that the flow field was stable at lower Rayleigh numbers. When the Rayleigh number increased, the flow field became instable and the isotherms distorted. The rolls merged at Ra=12500 and formed along both axes when Ra was over 18500. The air rose from the middle and descended in the circumference while the flow field and heat transfer converted to 3-D characteristic from 2-D characteristic. When the Rayleigh number increased, the flow field became more instable. The rolls became irregular and time dependent when Ra⩾Ra c (=30500), which is nonlinear. When lateral walls were heated or cooled, the rolls merged along the long axis and two rolls formed along the short axis. Three rolls formed occasionally in the process.
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References
Clever R M, B F H. Low-Prandtl-number convection in a layer heated from below. J Fluid Mech, 1981, 102: 61–74
Drazin P G, Reid W H. Fluid Dynamic Stability. Beijing: China Astronautic Publishing House, 1990
Zeng D L. Eng Non-Equil Thermodyn. Beijing: Science Press, 1991
Debasish M, Muralidhar K, Munshi P. Experimental study of Rayleigh-Benard convection at intermediate Rayleigh numbers using interferometric tomography. Fluid Dyn Res, 1999, 25: 231–255
Prat J, Massaguer J M, Mercader I. Phys Fluids, 1995, 7: 121
Mukutmoni D, Yang K T. Rayleigh-Bénard convection in a small aspect ratio enclosure: Part II-Bifurcation to Oscillatory Convection, Trans J Heat Transfer, 1993, 115(2): 367–376
Wang J G, Yang M. The visualization research for natural convection of layer heated from below. J Eng Thermophys, 2004, 25: 986–988
Atul S, Panigrahi P K, Muralidhar K. Interfertric study of buoyancydriven convection in a differentially heated circular fluid layer, Heat Mass Transfer, 2005, 41: 353–359
Tae Ho Ji, Seo Y K, Jae M H. Transient mixed convection in an enclosure driven by a sliding lid. Heat Mass Transfer, 2007, 43: 629–638
Thiruvengadam M, Armaly B F, Drallmeier J A. Three-dimensional mixed convectionin plane symmetric-sudden expansion: Bifurcated flow regime. ASME J Heat Transfer, 2007, 129: 819–826
Zhan N Y, Xu P W, Sun S M, et al. Study on stability and 3-D character for natural convection in a rectangular cavity heated from below. Sci China Tech Sci, 2010, 53(6): 1647–1654
Jonhannsen K. On the validity of the Boussinesq approximation for the Elder problem. Comp Geosciences, 2003, 7: 169–182
Wang Y Z. Optical Holography. Beijing: Machinery Industry Press, 1981
Zhou S, Shuai L J. The discussion about holographic interferometer tomography of temperature measurement. Pract Meas Tech, 1999, (4): 38–40
Rossby H T. Massachusetts Institude of Technology. Dissertation of Doctoral Degree. USA: Massachusetts Institude of Technology, 1966
Kessler R. Nonlinear transition in three-dimensional convection. J Fluid Mech, 1987, 174: 357–379
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Zhan, N., Gao, Q., Bai, L. et al. Experimental research on nonlinear characteristics of natural convection in a 3-D shallow cavity. Sci. China Technol. Sci. 54, 3304–3310 (2011). https://doi.org/10.1007/s11431-011-4591-x
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DOI: https://doi.org/10.1007/s11431-011-4591-x