Statistical characteristics of coefficients of a cubic approximation of isotherms of surface active substance films; pp. 417–427Full article in PDF format | doi: 10.3176/proc.2014.4.07
We explore possibilities for polynomial approximation of the isotherms (the dependence of the pressure, exerted by the film, on the concentration of the substance per unit area) of films of surface active substances in marine environment. The analysis is based on isotherms for samples from the nearshore of the Black Sea and the coasts of the USA. The isotherms are approximated using cubic polynomials. The constant term and the coefficients of this polynomial have a reasonable scatter: their average values are comparable with their standard deviation. The standard deviations of the coefficients at the quadratic and the cubic term exceed the relevant average values by two orders of magnitude. This property signals that it is evidently not possible to approximate the isotherms of surface active films using one universal polynomial function even for one location and that it is necessary to account for the described scatter in estimates of the properties and impact of surface films. We provide cumulative distributions of the coefficients of the cubic approximation for the use in probabilistic express models of properties of surface films in the marine environment.
Averbukh, E., Kurkina, O., Kurkin, A., and Soomere, T. 2014. Edge-wave-driven durable variations in the thickness of the surfactant film and concentration of surface floats. Phys. Lett. A, 378, 53–58.
Bakhanov, V. V., Zuev, A. L., Marov, M. N., and Pelinovsky, E. N. 1989. The influence of internal waves on the characteristics of microwave signals scattered by sea-surface. Izv. AN SSSR Fiz. Atm. Ocean., 25, 387–395.
Barger, W. R., Daniel, W. H., and Garrett, W. D. 1974. Surface chemical properties of banded sea slicks. Deep Sea Res., 21, 83–89.
Barger, W. R. and Means, J. C. 1985. Clues to the structure of marine organic material from the study of physical properties of surface films. In Marine and Estuarine Chemistry (Sigleo, A. C. and Hattori, A., eds). Lewis Publ. Inc., Chelsea, 47 pp.
Bulgakov, N., Golubev, Yu., Davyudov, V., and Fomin, V. 1988. The influence of trapped waves on the distribution of passive impurity in the region of local bottom displacement. Mar. Hydrophys. J., 2–3, 9–44 (in Russian).
Chechel, O. V. and Nikolaev, E. N. 1991. Devices for production of Langmuir–Blodgett films – review. Instrum. Exp. Techn., 34, 750–762.
Demin, B. T., Ermakov, S. A., Pelinovsky, E. N., Talipova, T. G., and Sheremeteva, A. I. 1985. A study of elastic features of sea surface-active film. Izv. AN SSSR Fiz. Atm. Ocean., 21, 410–416.
Dorrestein, R. 1951. General linearized theory of the effect of surface films on water ripples. Amsterdam Proc. Acad. Sci., B54, 260.
Ermakov, S. A. 2010. The Impact of Surface Films on the Dynamics of Gravity-Capillary Waves. Institute of Applied Physics RAS, Nizhny Novgorod (in Russian).
Ermakov, S. A., Pelinovsky, E. N., and Talipova, T. G. 1980. Influence of surface-active material films upon spectral changes in wind ripple produced by internal waves. Izv. AN SSSR Fiz. Atm. Ocean., 16, 1068–1076.
Ermakov, S. A., Pelinovsky, E. N., and Talipova, T. G. 1982. Surface film driven mechanism of the impact of internal waves on wind ripples. In Impact of Large-Scale Internal Waves on the Sea Surface. Institute of Applied Physics USSR, Gorky, 31–51.
Ermakov, S. A. and Pelinovsky, E. N. 1984. Variation of the spectrum of wind ripple on coastal waters under the action of internal waves. Dyn. Atmosph. Oceans, 8, 95–100.
Ermakov, S. A. and Talipova, T. G. 1985. Elastic hysteresis in marine surfactant films. Dokl. Akad. Nauk SSSR, 281, 941–944.
Ermakov, S. A., Panchenko, A. R., Salashin, S. G., Talipova, T. G., Titov, V. I., and Zujkova, A. M. 1986. Surface film effect on short wind waves. Dyn. Atmosph. Oceans, 10, 31–50.
Ermakov, S. A., da Silva, J. C., and Robinson, I. S. 1999. Radar signatures of internal waves in coastal zones. In Subsurface Layer of the Ocean. Physical Processes and Their Remote Sensing (Pelinovsky, E. N. and Talanov, V. I., eds). Institute of Applied Physics RAS, Nizhny Novgorod, vol. 2, 318–344 (in Russian).
Fernandez, D. M., Vesecky, J. F., Napolitano, D. J., and Khurl-Yakub, B. T. 1992. Computation of ripple wave parameters: a comparison of methods. J. Geophys. Res.-Oceans, 97(C4), 5207–5213.
Frew, N. M. and Nelson, R. K. 1992. Scaling of marine microlayer film surface pressure-area isotherms using chemical attributes. J. Geophys. Res.-Oceans, 97(C4), 5291–5300.
Gade, M., Alpers, W., Huhnerfuss, H., Masuko, H., and Kobayashi, T. 1998. Imaging of biogenic and anthropogenic ocean surface films by the multifrequency/multipolarization SIR-C/X-SAR. J. Geophys. Res.-Oceans, 103(C9), 18851–18866.
Garrett, W. D. 1967. Damping of capillary waves at the air-sea interface by surface-active material. J. Mar. Res., 25, 279–291.
Hühnerfuss, H., Walter, W., and Kruspe, G. 1977. On the variability of surface tension with mean wind speed. J. Phys. Oceanogr., 7, 565–571.
Jarvis, N. L., Garrett, W. D., Scheiman, M. A., and Timmons, C. O. 1967. Surface chemical characterization of surface-active material in seawater. Limnol. Oceanogr., 12, 88–96.
Kozlov, S. I., Pelinovsky, E. N., and Talipova, T. G. 1987. Dynamics of surfactant films in the field of inhomogeneous currents. Soviet Meteorol. Hydrol., 1, 70–75 (in Russian).
Kozlov, S. I., Pelinovsky, E. N., and Talipova, T. G. 1991. Dynamics of films of surface active substances under travelling internal waves. Mar. Hydrophys. J., 4, 3–8 (in Russian).
Kozlov, S. I. and Talipova, T. G. 1991. Transformation of slicks on sea-surface under the influence of wind-waves spectrum variations. Izv. AM SSSR Fiz. Atm. Ocean., 27, 862–866.
Lamb, H. 1932. Hydrodynamics, 6th ed. Cambridge University Press, Cambridge, 738 pp.
Levich, V. G. 1959. Physico-Chemical Hydrodynamics. Gosizdat of Physical and Mathematical Literature, Moscow, 699 pp. (in Russian).
Pogorzelski, S. J. 1992. Isotherms of natural sea-surface films – a novel device for sampling and properties studies. Rev. Scient. Instrum., 63, 3773–3776.
Pogorzelski, S. J. 2001. Structural and thermodynamic characteristics of natural marine films derived from force-area studies. Colloids Surfaces A: Physicochem. Eng. Asp., 189, 163–176.
Pogorzelski, S. J. and Kogut, A. D. 2001. Static and dynamic properties of surfactant films on natural waters. Oceanologia, 43, 223–246.
Pogorzelski, S. J., Stortini, A. M., and Loglio, G. 1994. Natural surface film studies in shallow coastal waters of the Baltic and Mediterranean Seas. Cont. Shelf Res., 14, 1621–1643.
Talipova, T. G., Kurkina, O. E., Giniatullin, A. R., Kurkin, A. A., Pelinovsky, E. N., Rõbin, A. V. 2013a. Probabilistic properties of elasticity of films of surface-active substance on the sea surface. Ecological Systems and Devices, 12, 17–25 (in Russian).Talipova, T. G., Kurkina, O. E., Giniatullin, A. R., Kurkin, A. A., Pelinovsky, E. N., Korol, A. A. 1013b. Statistical analysis of potential variations in the intensity of wind ripples owning to internal waves in the presence of films of surface-active substance. Ecological Systems and Devices, 12, 59–66 (in Russian).
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