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Wyszukujesz frazę "method of variable separation" wg kryterium: Temat


Wyświetlanie 1-2 z 2
Tytuł:
The Solution of Solid Charge Direct Resistance Heating with Similarity Theory
Autorzy:
Novák, P.
Janoščík, J.
Medved, D.
Powiązania:
https://bibliotekanauki.pl/articles/262620.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie
Tematy:
direct resistance heating
conductive charge
electrocontact heating
temeperature and electromagetic fields
method of variable separation
method of final differences
criteria of similarity
Opis:
The place of generation of technologic heat is important applied criteria for classification of electric heating. According to that, the direct heating is if the heat is generated directly in the heated material, or the indirect heating if material is heated indirectly by the heat generated in conversion element. Possibilities of practical application of both methods are typical for resistant heating. Considering indirect heating, the charge is out of influence of electromagnetic field, this directly does not influence its temperature field. Temperature distribution in the charge volume depends only on its heat-physical properties and conditions of heat exchange on surface, i.e. thermo kinetic processes. Fourier's equation is applied in field solution. Considering direct heating, temperature distribution in the charge volume is more complicated. It is conditioned by interaction of temperature and electromagnetic field which is generated by the current flowing in the charge. Solution of temperature field in directly heated charge must for that reason respect current density distribution on its cross-section, this leads to applying of heat conduction equation. We introduce its application for different types of temperature fields in the solid charge in this article. We present solution by two methods, results are presented in criteria (no dimensional) form.
Źródło:
Electrical Power Quality and Utilisation. Journal; 2006, 12, 1; 9-15
1896-4672
Pojawia się w:
Electrical Power Quality and Utilisation. Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of time-averaged secondary flow cells in wide and narrow straight open channels with lateral bed deformation
Autorzy:
Chattopadhyay, T.
Kundu, S.
Powiązania:
https://bibliotekanauki.pl/articles/38695706.pdf
Data publikacji:
2023
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
turbulent flow
secondary current
method of separation of variable
Reynolds shear stress
Opis:
The usual cellular pattern of the time averaged secondary flow circulation in the central section of wide open channels shows a distorted (laterally or vertically) structure due to the changes in bed configurations along lateral direction. The structures of these secondary circulations (under different bed configurations) are crucial for different types of hydraulic modeling. This study presents mathematical models of the time averaged secondary velocities (lateral and vertical components) for a turbulence-induced secondary current at the central section of a wide open-channel flow under different types of elevated and non-elevated bed conditions. Starting with the Reynolds Averaged Navier-Stokes equation and using the continuity equation, at first the governing equation of secondary flow velocity is obtained including the effects of the eddy viscosity and viscosity of the fluid. The model equations is solved using a separation of the variable technique imposing the bed perturbation condition. Full analytical solutions are achieved through mathematical analysis using suitable boundary conditions consistent with experimental observations. Initially the models are derived for a non-elevated bedforms comprised of alternating equal widths of smooth and rough bed strips. These models are modified further for bedforms with unequal widths of rough and smooth bed strips and elevated periodic bed structures. Four different types of elevated bed configurations are investigated and a general approach is suggested for other types of bed forms. All the proposed models are validated with existing experimental results to ensure the applicability and in each cases, improved results are observed. Obtained results show that the centre of circulation of the cellular structure occurs above the junction of the rough and smooth bed strips (consistent with experimental observations) and it gradually shifts towards the smooth strip, when the length of the rough bed strip is increased. The shifting as a function shows a non-linear pattern with the length of the rough bed strip. A least-square model is proposed to identify the circulation center as a function of the ratio of rough to smooth bed strips. It is also found that the vertically distorted secondary cells are generated when the bed slope strictly increase/decrease throughout the length of the one whole circulation. Finally, all the proposed models are compared with an existing model and an error analysis is done. Results of error analysis show that the present study can be more suitable as it yields improved results.
Źródło:
Archives of Mechanics; 2023, 75, 1-2; 169-211
0373-2029
Pojawia się w:
Archives of Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-2 z 2

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