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Wyszukujesz frazę "Navier-Stokes equations" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Two-dimensional vertical analysis of dam-break flow
Autorzy:
Zima, P.
Powiązania:
https://bibliotekanauki.pl/articles/1933149.pdf
Data publikacji:
2007
Wydawca:
Politechnika Gdańska
Tematy:
mathematical modeling
Reynolds-averaged Navier-Stokes equations
rapidly varied free surface flow
dam-break flow
Opis:
The paper concerns mathematical modeling of free surface open-channel water flow. Two-dimensional vertical Reynolds-averaged Navier-Stokes equations were used to simulate the flow. They were solved with the SIMPLE algorithm of the finite difference method using the Marker and Cell technique to trace free surface movement. The dam-break flow (water column collapse) problem on a horizontal and frictionless bottom was investigated as a test case. The mechanics of dam-break flow for wet and dry bed conditions was analyzed on the basis of numerical simulations. The obtained results are shown for varying head of water in the downstream channel. The possibility of using the shallow-water equations and the RANS model to simulate rapidly varied flows is discussed.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2007, 11, 4; 315-328
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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