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Wyszukujesz frazę "boundary equation method" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Analysis of Flow and Thermal Phenomena In Evacuated Tube Collectors
Autorzy:
Demianiuk, A.
Sorko, S. A.
Powiązania:
https://bibliotekanauki.pl/articles/386625.pdf
Data publikacji:
2012
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
kolektor słoneczny
przepływ ciepła
przepływ cieczy
flat plate solar collector
heat transfer
fluid flow in pipes
optimum mass flow rate
boundary equation method
Opis:
The subject of this case study is an issue of optimisation of flat tube solar collectors. Basic elements of energy analysis of performance parameters described by Hottel-Whillier equation are presented in the article. It is considered to be crucial to precisely analyse fluid flow through flow elements in evacuated tube collectors. It is especially important in the case of systems with channels of cross sections shapes different from circular and for the use of detailed mathematical description of complex film conduction phenomena. It is presented that the advanced analysis of the flow and thermal phenomena in complex heat transfer systems, represented by evacuated tube collectors, enables engineering rationalisation of technical solutions for these devices.
Źródło:
Acta Mechanica et Automatica; 2012, 6, 4; 5-10
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solution of fractional heat-like and fractional wave-like equation by using modern strategy
Autorzy:
Mohamed, Zain El Abden
Hamza, Amjad
Elzaki, Tarig
Algolam, Mohamed
Elhussein, Shiraz
Powiązania:
https://bibliotekanauki.pl/articles/2233715.pdf
Data publikacji:
2023
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
fractional-order wave-like equation
fractional-order heat-like equation
initial-boundary value problem
Adomian decomposition method
Opis:
This paper introduces a novel form of the Adomian decomposition (ADM) method for solving fractional-order heat-like and wave-like equations with starting and boundary value problems. The derivations are provided in the sense of Caputo. In order to help understanding, the generalised formulation of the current approach is provided. Several numerical examples of fractional-order diffusion-wave equations (FDWEs) are solved using the suggested method in this context. In addition to examining the applicability of the suggested method to the solving of fractional-order heat-like and wave-like equations, a graphical depiction of the solutions to three instructive cases was constructed. Solution graphs were arrived at for integer and fractional-order problems. The derived and exact solutions to integer-order problems were found to be in excellent agreement. The subject of the present research endeavour is the convergence of fractional-order solutions. This strategy is considered to be the most successful way of addressing fractional-order initial-boundary value issues in science and engineering. This strategy is presented here.
Źródło:
Acta Mechanica et Automatica; 2023, 17, 3; 372--380
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the numerical solution of the initial-boundary value problem with neumann condition for the wave equation by the use of the laguerre transform and boundary elements method
Autorzy:
Litynskyy, S.
Muzychuk, Y.
Muzychuk, A.
Powiązania:
https://bibliotekanauki.pl/articles/387128.pdf
Data publikacji:
2016
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
boundary integral equation
time-domain boundary integral equation
wave equation
Sobolev spaces
generalized solution
retarded surface potentials
Laguerre transform
boundary elements method
metoda elementów brzegowych
MEB
przestrzenie Sobolewa
transformata Laguerre'a
równanie falowe
Opis:
We consider a numerical solution of the initial-boundary value problem for the homogeneous wave equation with the Neumann condition using the retarded double layer potential. For solving an equivalent time-dependent integral equation we combine the Laguerre transform (LT) in the time domain with the boundary elements method. After LT we obtain a sequence of boundary integral equations with the same integral operator and functions in right-hand side which are determined recurrently. An error analysis for the numerical solution in accordance with the parameter of boundary discretization is performed. The proposed approach is demonstrated on the numerical solution of the model problem in unbounded three-dimensional spatial domain.
Źródło:
Acta Mechanica et Automatica; 2016, 10, 4; 285-290
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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