Longitudinal vortex rolls in fluids

Document Type : Full Lenght Research Article

Authors

1 Department of Fluid Mechanics, Academy of Hakusan Dynasty

2 Academy of Hakusan, 2-14, Meiko, Hakusan 920-2152 Japan.

Abstract

This paper is concerned with longitudinal vortex rolls in fluids. The longutudinal rolls are observed in the sea surface, desert, and atmosphere. However, origin of the vortical motions are not clear, so that in this study laboratory experiments and theoretical analyses have been conducted to elucidate the formation mechanism of the longitudinal vortex rolls in laboratory . As the results, it becomes clear that these vortex rolls are generated by the interaction of the thermal convection and the shear force by the flow. That is, as far as these two effects are existed, irrespective of other conditions are different, quite similar longitudinal vortex rolls appear. Take for example, in dayly our lives when it is fine, we often ovserve longitudinal vortex rolls in the sky, when we look through the outside from the airplane window, we see the longitudinal rows of clouds, and when wo go on board , we notice the longitudinal wave lines on the sea surface.

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[1] Akiyama, M., Hwang, G.L., Chang, K.C. (1971) Experiments on the onset of longitudinal vortices in laminar forced convection between horizontal planes. J. Heat Transfer 93, 335-341.
[2] Alinejad, J., Esfahani, J.A. (2017) Taguchi design of three dimensional simulations for optimization of turbulent mixed convection in a cavity, Meccanica , 52 , 925-938
[3] Bird, R.B., Stewart, W.E., Lightfoot, E.N. (1960) Transport Phenomena. Wiley & Sons, New York.
[4] Chang, M.Y., Yu, C.H., Lin, T.F.(1997) Changes of longitudinal vortex roll structure in a mixed convective air flow through a horizontal plane channel; an experimental study. Int. J. Heat and Mass Transfer 40, 347-363.
[5] Chiu, K.C., Rosenberger, F. (1987) Mixed convection between horizontal plates- Entrance affects. Int. J. Heat Mass Transfer 30, 1645-1654.
[6] Esfahani, J.A., Alinejad, J. (2013a) Entropy generation due to conjugate convection in an enclosure using the lattice Boltzmann method, Journal of Thermophysics and Heat Transfer , 27, 498-505
[7] Esfahani, J.A., Alinejad, J. (2013b) Lattice Boltzmann simulation of turbulent natural convection: enclosure heated from below. Journal of Thermophysics and Heat Transfer, 31, 910-919
[8] Fernando, H.J.S. (1991) Turbulent mixing in stratified fluids. Annual Review of Fluid Mechanics 23, 455-493.
[9] Gray, D.D., Giorgini, A. (1976) The validity of the Boussinesq approximation. Int. J. Heat Mass Transfer, 19, 545-551.
[10] Helga, B. (2008) The Great Sand Sea in Egypt: Formation, dynamics and Environmental Change: A sediment Analytical approach. Elsevier, Amsterdam, 1-3.
[11] Kirchartz, K.R. (1980) Zeitabhängige Zellularkonvektion in horizontalen und geneigten Behältern. Ph.D thesis, Universität Karlsruhe.
[12] Kline, S.J., McClintack, F.A. (1953) The description of uncertainties in single sample experiments. Mechanical Engineering, 3.
[13] Komatani, Y., Ostrach, S. (1976) Effect of thermal instability on thermally developed laminar channel flow. J. Heat Transfer 98, 62-66.
176 T. R.M. Nakagawa/ JHMTR 7 (2020) 165- 176
[14] Komatani, Y., Ostrach, S., Miao, H. (1979) Convection heat transfer augmentation in thermal entrance regions by means of thermal instability. J. Heat Transfer 101, 222-226.
[15] Laein, R.P., Rashidi, S., Estani, J.A.(2016) Experimental investigation of nano-fluid free convection over the vertical and horizontal flat plates with uniform heat flux by PIV , Advanced Powder Technology, 27 , 312-322
[16] Lee, F.S., Hwang, G.J. (1991) Transient analysis on the onset of thermal instability in thermal entrance region of a horizontal parallel plate channel. J. Heat Transfer 113, 363-370.
[17] Masoud, S., Tighchi, S., Ahmadi, H., Abolfazi, E.J.(2018) Taguchi optimization of combined radiation/natural convection of participating medium in a cavity with a horizontal fin using LBM , Physica A: Statistical Mechanics and its Applications. 509, 1062-1079
[18] Nakagawa, T.R.M., Higashi, K., Funawatashi, Y., Suzuki, T. (1998) Thermal convection between coaxial horizontal square containers. Acta Mechanica, 128, 183-199.
[19] Nakagawa, T. R., Suzuki, T. (2001) On thermal convection between two coaxial square containers inclined by 45°. Int. J. Heat and Mass Transfer 37, 1-4.
[20] Oertel, H. Jr. (1982) Thermal instabilities. In: Convective Transport and Instability Phenomena, G. Braun, Karlsruhe, 3-24.
[21] Ostrach, S., Komatani, Y. (1975) Heat transfer augmentation in laminar fully developed
channel flow by means of heating from below. J. Heat Transfer 97, 220-225.
[22] Pellow, A., Southwell, R.V. (1940) On maintained convective motion in a fluid heated from below. Proc. R. Soc. London, A176, 312-343.
[23] Quazzani, M.T., Caltagirone, J. P., Meyer, G., Mojtabi, A.(1989) Numérique et experimental de la convection mixte entre deux plans horizontaux a temperatures differents. Int. J. Heat Mass Transfer 32, 261-269.
[24] Quazzani, M.T., Platten, J.K., Mojtabi, A. (1990) Etude experimental de la convection mixte entre deux plans horizontaux a temperatures differents-Ⅱ. Int. J. Heat Mass Transfer 33, 1417-1427.
[25] Rayleigh, Lord (1916) On convection currents in a horizontal layer of fluid, when the higher temperature is on the underside. J. Science, 32, 529.
[26] Silveston, P.L. (1958) Wärmedurchgang in waagerechten Flüssigkeitsschichten. Teil 1. Forsch. Ing. Wes. 24, 29-32, 59-69.
[27] Tighchi, H.A.,Sohani, M., Esfahani, J.A.(2018) Effect of volumetric radiation on natural convection in a cavity with a horizontal fin using lattice Boltzmann method , European Physical Journal Plus , 33 , 2018-3.
[28] Zirep, J. (1963) Zur Theorie der Zellularkonvektion: Zellularkonvektions-strömungen in Gefäβen endlicher horizontaler Ausdehnung. Beitr. Phys. Atmos. 36, 70-76.