Publicado

2017-01-01

Estudio de la velocidad de ascenso y fuerza boyante en un termal con convección libre

Study ascent velocity and buoyant force in a thermal with free convection

Palabras clave:

termal, convección, velocidad (es)
thermal, convection, speed of climb (en)

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En este trabajo se estudia la velocidad de ascenso, expansión de un termal y fuerza boyante con convección libre considerándolo como un fluido incompresible y estacionario. El análisis del termal se dará para diferentes valores del número de Grashof considerando una aproximación lineal de temperatura. Para esto se utiliza el método de diferencias finitas unidimensional, y se soluciona la ecuación dinámica de Navier-Stokes en la aproximación de Boussinesq, con el propósito de obtener la velocidad de la partícula de fluido como función de la altura y el radio del termal.
In this paper we study the rate of climb, thermal expansion and buoyancy force with free convection considering it as an incompressible fluid and steady. Thermal analysis is given for different values of the Grashof number given a linear approximation of temperature. For this, the dimensional finite difference method is used, and dynamic Navier-Stokes equation is solved in the Boussinesq approximation, in order to get the particle velocity of fluid as a function of height and radius of the thermal.

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Ludlam, F.H. and Scorer, R.S., Convection in the atmosphere. Quarterly Journal of the Royal Meteorological Society, 79, pp. 317-341, 1953. DOI: 10.1002/qj.49707431903

Sutton, O.G., The atom bomb as an experiment in convection. Wather, 2, pp. 105-111, 1947.

Malkus, J.S., Scorer R.S., Ludlam, F.H. and Björgum, O., Bubble theory of penetrative convection. Quarterly Journal of the Royal Meteorological Society, 10, pp. 288-293, 1953. DOI: 10.1002/qj.49707934011

Hayakawa, T. and Tsuji, Y., Mean wind: Its velocity and temperature fluctuation in low-Prandtl-number thermal convection. Physica D: Nonlinear Phenomena, 239, pp. 1353-1358, 2010. DOI: 10.1016/j.physd.2010.02.008

Scorer, R.S., Experiments on convection of isolated masses of buoyant fluid. Journal of Fluid Mechanics, 2, pp. 583-594, 1957. DOI: 10.1017/S0022112057000397

Scorer, R.S., Natural Aerodynamics. New York: Pergamon Press 1958.

Schmidt, W., Turbulente ausbreitung eines Stromes erhitzter Luft. Z Angew Math Mech, 21, pp. 265-278, 1941. DOI: 10.1002/zamm.19410210603

Rahmstorf, S., A simple model of seasonal open ocean convection. Ocean Dynamics, 52, pp. 26-35, 2001. DOI: 10.1007/s10236-001-8174-4

Bell, J.B. and Marcus, D.L., A second-order projection method for variable-density flows. J. Comput. Phys, pp. 334-338, 1990. DOI: 10.1016/0021-9991(92)90011-M

Bell, J.B., Colella, P. and Glaz, H.M., A second-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys, 85, pp. 257-283. 1989. DOI: 10.1016/0021-9991(89)90151-4

Bell, J.B. and Marcus, D.L., The structure and evolution of the vorticity and temperature fields in thermals. J. Comput. Phys, 3, pp. 327-344, 1992. DOI: 10.1007/BF00417932

Vulfson, A. and Borodin, O., An ensemble of dynamically identical thermals and vertical profiles of turbulent moments in the convective surface layer of atmosphere. Russian Meteorology and Hydrology, 34, pp. 491-500, 2008. DOI: 10.3103/S1068373909080020

Jan, J., Young, L. and Chiu, C., A fluid-like element for flow and heat convection problems. Finite Elements in Analysis and Design, 43, pp. 599-610, 2007. DOI: 10.1016/j.finel.2006.12.011

Kostyk, R.I., Some properties of convective motions in the upper solar atmosphere II. Kinematics and Physics of Celestial Bodies, 27, pp. 175-182, 2011. DOI: 10.3103/S0884591311040052

Izakov, N., Convective zones in the atmosphere of venus and the anomalous heat flux. Solar System Research, 36, pp. 495-498, 2002. DOI: 10.1023/A:1022157203939

Kundu, P.K., Fluid Mechanics. Amsterdam: ELSEVIER, 2000, pp. 117-119, pp. 81-82.

Latif, M., Heat Convection. New York: Springer, New York, 2009, pp. 47. DOI: 10.1007/978-3-642-02971-4

Chung, T.G., Computational fluid dynamic. New York: Cambridge University Press, 2010, pp. 83-86.

Gerald, C.F., Numerical analisys with aplications. Mexico: Pearson education, 2000, pp. 48-51.

Burden, L.R., Numerical analysis. New York: International Thomson, 1998, pp. 407-409.

Woodward, B., The motion in and around isolated thermals. Quarterly Journal of the Royal Meteorological Society, 85, pp. 144-151, 1959. DOI: 10.1002/qj.49708536619