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    Wyświetlanie 1-8 z 8
    Tytuł:
    Modelling of gravity waves in water of finite depth
    Autorzy:
    Chybicki, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/241311.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
    Tematy:
    gravity waves
    Hamilton principle
    Lagrangian description
    Opis:
    An extension of shallow water theory proposed by Wilde (Wilde, Chybicki 2000), for finite water depth and based on the Lagrangian type formalism is presented. As in Bussinesq-type models the vertical dimension is being eliminated and the horizontal displacement is expanded in the even power series of vertical variable Y, but only two terms - with power null and two are taken into account. Based on continuity equation, vertical displacement is expressed in terms of horizontal displacement and its derivatives. The equations of motion are derived from a Hamilton principle applied to Lagrangian function being a difference of kinetic and potential energy. In order to solve the set of governing equations a direct method of variational calculus has been applied. The solutions preserve total energy. The numerical simulations have been verified experimentally, in terms of wave measurements in the flume, for various wave heights and ratios of wavelength to water depth, showing good conformity between measured and calculated values. The theory presented here can also be applied for the case of varying depth.
    Źródło:
    Archives of Hydro-Engineering and Environmental Mechanics; 2004, 51, 3; 205-224
    1231-3726
    Pojawia się w:
    Archives of Hydro-Engineering and Environmental Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The effect of randomness on the stability of capillary gravity waves in the presence of air flowing over water
    Autorzy:
    Majumder, D. P.
    Dhar, A. K.
    Powiązania:
    https://bibliotekanauki.pl/articles/265777.pdf
    Data publikacji:
    2015
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    capillary gravity waves
    randomness
    evolution equation
    instability
    fala grawitacyjna
    przypadkowość
    niestabilność
    Opis:
    A nonlinear spectral transport equation for the narrow band Gaussian random surface wave trains is derived from a fourth order nonlinear evolution equation, which is a good starting point for the study of nonlinear water waves. The effect of randomness on the stability of deep water capillary gravity waves in the presence of air flowing over water is investigated. The stability is then considered for an initial homogenous wave spectrum having a simple normal form to small oblique long wave length perturbations for a range of spectral widths. An expression for the growth rate of instability is obtained; in which a higher order contribution comes from the fourth order term in the evolution equation, which is responsible for wave induced mean flow. This higher order contribution produces a decrease in the growth rate. The growth rate of instability is found to decrease with the increase of spectral width and the instability disappears if the spectral width increases beyond a certain critical value, which is not influenced by the fourth order term in the evolution equation.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2015, 20, 4; 835-855
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Modulational instability of obliquely interacting capillary-gravity waves over infinite depth
    Autorzy:
    Manna, S.
    Dhar, A. K.
    Powiązania:
    https://bibliotekanauki.pl/articles/38629088.pdf
    Data publikacji:
    2021
    Wydawca:
    Instytut Podstawowych Problemów Techniki PAN
    Tematy:
    nonlinear Schrödinger equation
    crossing sea states
    capillary-gravity waves
    modulational instability
    Opis:
    Two coupled time-dependent two dimensional nonlinear Schrödinger equations have been derived using multiscale expansion for two nonlinearly interacting capillary-gravity waves over an infinite depth of water. These equations are then utilised to discuss the modulational (Benjamin-Feir) instability of two Stokes wavetrains due to unidirectional and bidirectional perturbations. It is found from the graphs and the three-dimensional contour plots that the rate of growth of instability for two wave packets interacting obliquely is higher than the instance of modulation of one wave packet. We have likewise examined the influence of capillarity on modulational instability.
    Źródło:
    Archives of Mechanics; 2021, 73, 5-6; 583-598
    0373-2029
    Pojawia się w:
    Archives of Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Investigation of signals of the range 10-3 - 10-4 Hz registered by water-tube tiltmeters in the underground geodynamic laboratory in Książ (SW Poland)
    Autorzy:
    Kaczorowski, Marek
    Kasza, Damian
    Zdunek, Ryszard
    Wronowski, Roman
    Powiązania:
    https://bibliotekanauki.pl/articles/2174941.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Centrum Badań Kosmicznych PAN
    Tematy:
    interferometry
    time series analysis
    tides
    planetary waves
    acoustic gravity waves
    surface waves
    free oscillations
    ionosphere interactions
    atmosphere interactions
    Opis:
    The Geodynamic Laboratory in Książ includes investigations of various kinds of geodynamic signals. Among others, we registered harmonic signals of the range 10-3 - 10-4 Hz. These signals had been found in the measurement series of the long water-tube (WT) tiltmeters. The discovered signals consist of two classes of harmonics associated with various kinds of phenomena. The first class of these signals belongs to viscoelastic vibrations of the Earth’s solid body, while the second class is produced possibly by the extremely long atmospheric infrasound waves. The signals of the vibrations of the Earth had been well recognized by the characteristic frequencies of the Earth’s free vibrations’ resonance, which occur mainly after strong earthquakes. The atmospheric pressure microvibrations affected the water level in the hydrodynamic systems of the WTs as a result of an inverse barometric effect. We observed that signals from both classes blend in the harmonics of similar frequencies and jointly affect the hydrodynamic systems of the WTs. We found that the amplitude of the secondclass signals strongly depends on the location of water-tube gauges inside the underground, while the amplitudes of the first-class signals are similar for all the gauges. These observations clearly indicate the atmospheric origin of the second class of registered signals.
    Źródło:
    Artificial Satellites. Journal of Planetary Geodesy; 2022, 57, 4; 210--236
    2083-6104
    Pojawia się w:
    Artificial Satellites. Journal of Planetary Geodesy
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dispersion of Rayleigh Waves in a Microstructural Couple Stress Substrate Loaded with Liquid Layer Under the Effects of Gravity
    Autorzy:
    Sharma, V.
    Kumar, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/947783.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    couple stress theory
    Rayleigh waves
    gravity
    characteristic length
    liquid loading
    Opis:
    Bone loss is one of the serious health issues in bedridden patients or young generation due to lack of physical activities. Mechanical forces are exerted on the bones through ground reaction forces, liquid loadings and by other contraction activities of the muscles. We are assuming an isotropic half-space with mechanical properties equivalent to that of bone exhibiting microstructures. Consistent couple stress theory introduces an additional material parameter called characteristic length which accounts for inner microstructure of the material. Dispersion relations for leaky Rayleigh waves are derived by considering a model consisting of couple stress half space under the effects of gravity and loaded with inviscid liquid layer of finite thickness or a liquid half space. Impact of the gravity, liquid loadings and microstructures of the material are investigated on propagation of leaky Rayleigh type waves. Phase velocity of leaky Rayleigh waves is studied for five different values of characteristic length parameter which are of the order of internal cell size of the considered material. Variations in phase velocity of leaky Rayleigh waves are also studied under the effect of gravity parameter and thickness of liquid loadings.
    Źródło:
    Archives of Acoustics; 2018, 43, 1; 11-20
    0137-5075
    Pojawia się w:
    Archives of Acoustics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Surface waves in fibre-reinforced anisotropic solid elastic media under the influence of gravity
    Autorzy:
    Sethi, M.
    Gupta, K. C.
    Gupta, D.
    Manisha, -
    Powiązania:
    https://bibliotekanauki.pl/articles/955330.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fale powierzchniowe
    lepkość
    fala Rayleigha
    siła ciężkości
    fibre-reinforced medium
    surface waves
    viscosity
    Rayleigh waves
    gravity
    Opis:
    The aim of the present paper is to investigate surface waves in an anisotropic, elastic solid medium under the influence of gravity. First, a theory of generalised surface waves was developed and then it was employed to investigate particular cases of waves, viz., Stoneley and Rayleigh, Love type. The wave velocity equations were obtained for different cases and they are in well agreement with the corresponding classical result, when the effect of gravity, viscosity as well as parameters for fibre-reinforcement of the material medium are ignored.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2013, 18, 1; 177-188
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Wave propagation in 2D between two elastic media in contact in theory of generalized two temperature thermoelasticity with gravity effect
    Autorzy:
    Lotfy, Khaled
    Gabr, Mahmoud
    El-Bary, Alaa Abd
    Powiązania:
    https://bibliotekanauki.pl/articles/240130.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    generalized thermoelasticity
    surface waves
    two temperatures
    Lord-Shulman theory
    influence of gravity
    Opis:
    The theory of generalized two-temperature thermoelasticity is used to solve the boundary value problems between two elastic media with two different types of temprature under the influence of gravity.The classical dynamical coupled theory and Lord-Şhulman theory are used to obtain the general solution of the governing equations and investigate the effect of surface waves in an isotropic elastic medium subjected to gravity field. The harmonic vibrations method is used to obtain the displacement components, stress tensor and temperature distribution in the considerd physical domain with comparison with the two theories. The obtained analytic solution of the problem is applied for special cases for which the effect of two temperatures is studied. The conductive and dynamical temperatures as well as stress and strain components are shown graphically for a suitable material. Some comparisons are also introduced in the absence and in the presence of gravity, and two-temperature parameter. The differences in the obtained results between the two theories are considered.
    Źródło:
    Archives of Thermodynamics; 2020, 41, 1; 219-243
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On Wave Nature of Matter
    Autorzy:
    Etkin, V. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1182578.pdf
    Data publikacji:
    2017
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    alternative to atomism
    closed waves
    experimental confirmation
    formation and structuring processes
    non-baryonic and baryonic matter transformation
    particle-like wave
    strong gravity
    unity of interactions
    wave structures
    waves of dark matter
    Opis:
    The article proves the alternative concept of the wave structure of matter. It shows the existence in a non-baryonic (dark) matter of the Universe of standing density waves with dipole properties. When condensation of a non-baryonic substance, these waves transform it into a baryonic (light) substance by forming in it various closed wave structures with particle-like properties. The mathematical description of processes of structuring of non-baryonic matter proposed in the article explains the appearance of new properties (degrees of freedom) in baryonic matter by its polarization. Wave processes in baryonic matter excite running waves in non-baryonic matter, which gives it the properties of a luminiferous medium and makes the baryonic matter visible. The article shows that such a concept allows us to take a fresh look at a number of phenomena that are difficult to explain from the standpoint of corpuscular theories, and finds all the new experimental confirmations.
    Źródło:
    World Scientific News; 2017, 69; 220-235
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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