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Wyszukujesz frazę "boundary layer equations" 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:
    Novel analytic-numerical model of free convection: with leading edge considered
    Autorzy:
    Leble, S.
    Lewandowski, W. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1954434.pdf
    Data publikacji:
    2022-02-01
    Wydawca:
    Politechnika Gdańska
    Tematy:
    Navier-Stokes equations
    Fourier-Kirchhoff equations
    free convection
    heat transfer
    isothermal surface
    boundary layer
    vertical plate
    leading edge
    Równania Naviera-Stokesa
    równanie Fouriera-Kirchhoffa
    przenikanie ciepła
    izoterma powierzchni
    warstwa graniczna
    płyty pionowe
    Opis:
    A novel solution of the free convection boundary problem is represent ed in analytical form for velocity and temperature for an isothermal vertical plate, as an example. These fields are built as a Taylor Series in the x coordinate with coefficients as functions of the vertical coordinate (y). We restrict ourselves by cubic approximation for both functions. The basic Navier-Stokes and Fourier-Kirchhoff equations and boundary conditions give links between coefficients and connected with free convection heat transfer phenomen on which define the analytical form of the solution as a function of the Grashof number only. In t he solution the non zero velocity of a fluid flow through a leading edge of the plate is take n into account. The solution in the form of velocity and temperature profiles is numerically evaluated and illustrated for air.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2014, 18, 2; 167--185
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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