Experimental Mixing Parameterization Due to Multiphase Fluid – Structure Interactions

Ranis N. Ibragimov*, Akshin S. Bakhtiyarov**, Margaret Snell***
* Research and Support Center for Applied Mathematical Modeling, New Mexico Institute of Mining and Technology, Socorro, USA
** Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, USA
*** Research and Support Center for Applied Mathematical Modeling, New Mexico Institute of Mining and Technology, Socorro, USA
Periodicity:November - January'2010
DOI : https://doi.org/10.26634/jfet.5.2.1089

Abstract

Experimental estimates of the rate at which energy is extracted from the baratropic tide at corrugated sloping topography are presented. To this end, a series of experimental simulations of the process of generation of internal tides (i.e., internal waves of the tidal frequency) over a corrugated slope in stratified fluid were performed. An oceanic interior is modeled as four-layer stratified fluid. The main focus in these studies was to obtain the relation for the potential energy available for mixing as a function of a slope of a corrugated slope. The available potential energy available for partial mixing to the topographic slope was compared with the available potential energy sufficient for complete mixing of the four layers. The experimental data were compared with the analytic results of a linear theory and found in agreement with a recent theoretically predicted scenario showing that the dominant contribution of the energy distribution in internal wave field resides in waves of the lowest allowed frequency.

Keywords

Stratified Fluid, Conversion of Baratropic Tide, Mixing Parameterization, Energy Radiation.

How to Cite this Article?

Ibragimov, R.N. , Bakhtiyarov, A. S., and Snell, M. (2010). Experimental Mixing Parameterization Due To Multiphase Fluid – Structure Interactions. i-manager’s Journal on Future Engineering and Technology, 5(2), 1-8. https://doi.org/10.26634/jfet.5.2.1089

References

[1]. Bell, T.H., 1975. “Lee Waves in Stratified Flows with Simple Harmonic Time Dependence”, Journal of Fluid Mechanics, 67, pp. 705-722.
[2]. Garrett, C., MacCready, P., Rhines, P.B., 1993. “Boundary Mixing and Arrested Ekman Layers: Rotating Stratified Flow Near a Sloping Boundary”, Annual Review of Fluid Mechanics, 67, pp. 291-323.
[3]. Garrett, C., Kunze, E., 2007. Internal Tide Generation in the Deep Ocea, Annual Review of Fluid Mechanics, 39, 57-87.
[4]. Clark, T.L., Hall, W.D., Banta, R.M., 1994. “Two-and Three-dimensional Simulations of the 9 January 1989 Severe Bou lder Windstorm: Comparison with Observations”, Journal of Atmospheric Sciences, 51, pp. 2317-2343.
[5]. Ibragimov, R. N., 2008. “Generation of Internal Tides by an Oscillating Background Flow Along a Corrugated Slope”, Physica Scripta, 78, 9pp.
[6]. Ibragimov, R.N., 2007. Oscillatory Nature and Dissipation of the Internal Waves Energy Spectrum in the Deep Ocean, European Physical Journal Applied Physics, 40, pp. 315-334.
[7]. Ibragimov, R.N., 2008. “Resonant Triad Model for Studing Evolution of the Energy Spectrum Among a Large Number of Internal Waves”, Communications in Nonlinear Science and Numerical Simulation, 13, pp. 593-623.
[8]. Ibragimov, N.H. Aitbayev. R., Ibragimov, R.N., 2008. “Three-dimensional non-linear rotating surface waves in channels of variable depth in the presence of formation of a small perturbation of atmospheric pressure across the channel”, Communications in Nonlinear Science and Numerical Simulation, 14, pp. 3811-3820.
[9]. Khatiwala, S. 2003. “Generation of Internal Tides in an Ocean of Finite Depth: Analytical and Numerical Calculations”. Deep-Sea Research, 50, pp. 3-21.
[10]. Legg, S, Adcroft, A. 2003. “Internal Wave Breaking at Concave and Convex Continental Slopes”, Journal of Physical Oceanography, 11, pp. 2224-2246.
[11]. Legg, S. 2004. “Internal Tides Generated on a Corrugated Continental Slope. Part Ii: Along-slope Bar Tropic Forcing”, Journal of Physical Oceanography, 8, pp. 1824-1838.
[12]. Llewellyn, S.G., Young, W.R., 2002. “Conversion of the Bar Tropic Tide”, Journal of Physical Oceanography, 32, pp. 1554-1566.
[13]. MacCready, P., Pawlak, G., 2001. “Stratified Flow Along a Corrugated Slope: Separation Drag and Wave Drag”, Journal of Physical Oceanography, 31, pp. 2824- 2838.
[14]. Munk, W., Wunsch, C. 1998. Abyssal Recipes Ii: Energetic of Tidal and Wind Mixing. Deep-Sea Research, 45, 1977-2010.
[15]. Polzin, K.L., Toole, J.M., Ledwell, G.R., Schmitt, R.W., 1997. Spatial Variability of Turbulent Mixing in the Abyssal Ocean, Science, pp. 76, 93-96.
[ 1 6 ] . Shutts ,G ., 1995 . Gravity Wave Drag Parameterization Over Complex Terrain: The Effect of Critical Level Absorption in Directional Wind Shear, Quarterly Journal of the Royal Meteorological Society, 121,pp. 1005-1022.
[17]. Smith, R.B., 1985. On Severe Downslope Winds, Journal of Atmospheric Sciences, 42, pp. 2597-2603.
[18]. Wunsch, C., Ferarri, R., 2004. Vertical Mixing, Energy, and the General Circulation of the Oceans, Annual Review of Fluid Mechanics, 36, pp. 281-314.
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Online 15 15

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.