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Wyszukujesz frazę "boundary layer equation" wg kryterium: Temat

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    Wyświetlanie 1-3 z 3
    Tytuł:
    Analytic-numerical model of a convective boundary layer and heat transfer on a horizontal cone
    Autorzy:
    Leble, S.
    Pelc, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/1943220.pdf
    Data publikacji:
    2009
    Wydawca:
    Politechnika Gdańska
    Tematy:
    natural convection
    Fourier-Kirchhoff equations
    boundary layer equation
    isothermal cone
    matching of Frobenius expansions
    Opis:
    An approximate analytical solution of a two dimensional problem for stationary Navier-Stokes, continuity and Fourier-Kirchhoff equations describing a free convective heat transfer from an isothermal cone is presented. The problem formulation is based on assumptions typical for natural convection: non-compressibility and the Boussinesq approximation. The solution is based on Frobenius expansions at the vicinities of two points: the initial point and the singular point of the boundary layer equation. Numerical matching of the expansions and Nusselt number evaluations are traced.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2009, 13, 1-2; 133-144
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On free convection heat transfer from vertical plate - proposition of a new model
    Autorzy:
    Leble, S.
    Lewandowski, W. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1938587.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Gdańska
    Tematy:
    Navier-Stokes equations
    Fourier-Kirchhoff equation
    free convective heat transfer
    analytical solution
    sothermal surface
    boundary layer
    vertical plate
    Opis:
    The free convection heat transfer from an isothermal vertical plate in open space is investigated theoretically. In contrast to conventional approaches we use neither boundary layer nor self-similarity concepts. We base on expansion of the fields of velocity and temperature in a Taylor Series in x coordinate with coefficients being functions of the vertical coordinate (y). In the minimal version of the theory we restrict ourselves by cubic approximation for both functions. The Navier-Stokes and Fourier-Kirchhoff equations that describe the phenomenon give links between coefficient functions of y that after exclusion leads to the ordinary differential equation of forth order (of the Mittag-Leffleur type). Such construction implies four boundary conditions for a solution of this equation while the links between the coefficients need two extra conditions. All the conditions are chosen on the basis of the experience usual for free convection. The choice allows us to express all the theory parameters as functions of the Rayleigh number and the temperature difference. To support the conformity of the theory we derive the Nusselt-Rayleigh numbers relation that has the traditional form. The solution in the form of velocity and temperature profiles is evaluated and illustrated for air by examples of plots of data.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 2; 249-265
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Effects of the control parameters on the stability of a laminar boundary layer on a porous flat plate
    Autorzy:
    Lihonou, T. F.
    Monwanou, A. V.
    Miwadinou, C. H.
    Chabi Orou, J. B.
    Powiązania:
    https://bibliotekanauki.pl/articles/2174178.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    przepuszczalność
    liczba Reynoldsa
    metoda kolokacji
    permeability parameter
    small Reynolds number
    linear temporal stability
    boundary layer
    modified Orr-Sommerfeld equation
    spectral collocation method
    Opis:
    This work is devoted to the analysis of the linear temporal stability of a laminar dynamic boundary layer on a horizontal porous plane plate. The basic flow is assumed to be laminar and two-dimensional. The basic flow velocity profiles are obtained by numerically solving the Blasius equation using the Runge-Kutta method. The perturbations of these basic solutions are expressed in the form of three-dimensional Tollmien-Schlichting waves. The formulation of the stability problem leads to the Orr-Sommerfeld equation modified by the permeability parameter (Darcy number) and the small Reynolds number. This equation is given in a general form which can be applied to the Chebyshev domain and the boundary layer domain and solved numerically using the Chebyshev spectral collocation method. The marginal stability diagrams, the critical Reynolds numbers and the eigenvalue spectra are obtained for different values of the parameters which have modified the stability equation. Numerical solutions indicate the importance of the effect of these parameters on the flow stability characteristics.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2021, 26, 4; 113--127
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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