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    Wyświetlanie 1-5 z 5
    Tytuł:
    Modeling of the finite amplitude plane wave propagation in non-dissipative medium
    Autorzy:
    Baranowska, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/331517.pdf
    Data publikacji:
    2008
    Wydawca:
    Polskie Towarzystwo Akustyczne
    Tematy:
    amplitude plane wave
    Burgers equation
    mathematical model
    Opis:
    The paper presents results of theoretical analysis of the finite amplitude plane wave propagation problem. The case of harmonic plane wave propagation in non-dissipative medium was considered. The mathematical model and some results of numerical investigations are presented. The mathematical model was built on the basis of one-dimensional continuity equation, equation of motion in differential form and state equation. The finite difference method was applied to solve the problem numerically. The pressure changes and harmonic pressure amplitude changes were analysed. The results of computer calculations were compared with solution of the Burgers equation.
    Źródło:
    Hydroacoustics; 2008, 11; 11-18
    1642-1817
    Pojawia się w:
    Hydroacoustics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Asymptotic profiles for a class of perturbed burgers equations in one space dimension
    Autorzy:
    Dkhil, F.
    Hamza, M. A.
    Mannoubi, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/254933.pdf
    Data publikacji:
    2018
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Burgers equation
    self-similar variables
    asymptotic behavior
    self-similar solutions
    Opis:
    In this article we consider the Burgers equation with some class of perturbations in one space dimension. Using various energy lunctionals in appropriate weighted Sobolev spaces rewritten in the variables [formula] and log τ, we prove that the large time behavior of solutions is given by the sell-similar solutions ol the associated Burgers equation.
    Źródło:
    Opuscula Mathematica; 2018, 38, 1; 41-80
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinear Interaction of Modes in a Planar Flow of a Gas with Viscous and Thermal Attenuation
    Autorzy:
    Perelomova, Anna
    Powiązania:
    https://bibliotekanauki.pl/articles/177137.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    nonlinear wave theory
    nonlinear acoustics
    coupling dynamic equations
    Burgers equation
    diffusion equation
    Opis:
    The nonlinear interaction of wave and non-wave modes in a gas planar flow are considered. Attention is mainly paid to the case when one sound mode is dominant and excites the counter-propagating sound mode and the entropy mode. The modes are determined by links between perturbations of pressure, density, and fluid velocity. This definition follows from the linear conservation equations in the differentia form and thermodynamic equations of state. The leading order system of coupling equations for interacting modes is derived. It consists of diffusion inhomogeneous equations. The main aim of this study is to identify the principle features of the interaction and to establish individual contributions of attenuation (mechanical and thermal attenuation) in the solution to the system.
    Źródło:
    Archives of Acoustics; 2019, 44, 3; 551-559
    0137-5075
    Pojawia się w:
    Archives of Acoustics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Rigorous Integration of Burgers Equation
    Autorzy:
    Cyranka, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/115776.pdf
    Data publikacji:
    2011
    Wydawca:
    Fundacja na Rzecz Młodych Naukowców
    Tematy:
    rigorous numerics
    Lohner algorithm
    Burgers equation
    rigorous integration
    dissipative partial differential equations
    interval arithmetics
    Opis:
    This paper presents techniques that allows to rigorously integrate dissipative partial differential equations. A full case study of an application to the Burgers equation on the line with periodic boundary conditions is presented.
    Źródło:
    Challenges of Modern Technology; 2011, 2, 3; 3-7
    2082-2863
    2353-4419
    Pojawia się w:
    Challenges of Modern Technology
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Impact of Boundary Conditions on Acoustic Excitation of Entropy Perturbations in a Bounded Volume of Newtonian Gas
    Autorzy:
    Perelomova, Anna
    Powiązania:
    https://bibliotekanauki.pl/articles/177071.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    nonlinear acoustics
    acoustic heating in resonators
    Burgers equation
    first type
    second type
    boundary conditions
    acoustic heating in a half-space
    Opis:
    Excitation of the entropy mode in the field of intense sound, that is, acoustic heating, is theoretically considered in this work. The dynamic equation for an excess density which specifies the entropy mode, has been obtained by means of the method of projections. It takes the form of the diffusion equation with an acoustic driving force which is quadratically nonlinear in the leading order. The diffusion coefficient is proportional to the thermal conduction, and the acoustic force is proportional to the total attenuation. Theoretical description of instantaneous heating allows to take into account aperiodic and impulsie sounds. Acoustic heating in a half-space and in a planar resonator is discussed. The aim of this study is to evaluate acoustic heating and determine the contribution of thermal conduction and mechanical viscosity in different boundary problems. The conclusions are drawn for the Dirichlet and Neumann boundary conditions. The instantaneous dynamic equation for variations in temperature, which specifies the entropy mode, is solved analytically for some types of acoustic exciters. The results show variation in temperature as a function of time and distance from the boundary for different boundary conditions.
    Źródło:
    Archives of Acoustics; 2019, 44, 2; 321-328
    0137-5075
    Pojawia się w:
    Archives of Acoustics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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