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Wyszukujesz frazę "design equation" wg kryterium: Temat


Wyświetlanie 1-10 z 10
Tytuł:
Mathematical Kinetic Modelling and Representing Design Equation for a Packed Photoreactor with Immobilised TiO2-P25 Nanoparticles on Glass Beads in the Removal of C.I. Acid Orange 7
Autorzy:
Sheidaei, B.
Behnajady, M. A.
Powiązania:
https://bibliotekanauki.pl/articles/185458.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
heterogeneous photocatalysis
batch-recirculated photoreactor
design equation
mathematical kinetic modelling
TiO2-P25 nanoparticles
C.I. Acid Orange 7
fotoreaktor
modelowanie matematyczne
Nanocząstki TiO2-P25
CL kwas pomarańczowy 7
Opis:
In this work, a design equation was presented for a batch-recirculated photoreactor composed of a packed bed reactor (PBR) with immobilised TiO2-P25 nanoparticle thin films on glass beads, and a continuous-flow stirred tank (CFST). The photoreactor was studied in order to remove C.I. Acid Orange 7 (AO7), a monoazo anionic dye from textile industry, by means of UV/TiO2 process. The effect of different operational parameters such as the initial concentration of contaminant, the volume of solution in CFST, the volumetric flow rate of liquid, and the power of light source in the removal efficiency were examined. A rate equation for the removal of AO7 is obtained by mathematical kinetic modelling. The results of reaction kinetic analysis indicate the conformity of removal kinetics with Langmuir-Hinshelwood model (kL-H = 0.74 mg L-1 min-1, Kads = 0.081 mg-1 L). The represented design equation obtained from mathematical kinetic modelling can properly predict the removal rate constant of the contaminant under different operational conditions (R2 = 0.963). Thus the calculated and experimental results are in good agreement with each other.
Źródło:
Chemical and Process Engineering; 2015, 36, 2; 125-133
0208-6425
2300-1925
Pojawia się w:
Chemical and Process Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Structure equation as novel strategy for optimum reflector design
Autorzy:
Ou, Chung-Jen
Powiązania:
https://bibliotekanauki.pl/articles/174423.pdf
Data publikacji:
2020
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
illumination design
light-emitting diodes
structure equation
Opis:
The optimal use of energy resources is the central dogma for green technology and bio-optics. Reflectors provide a simple and fundamental structure for energy transport from a light emitting diode (LED) chip, and an appropriately designed reflector can reduce the fabrication cost of secondary optics for the LED. This paper demonstrates the role of three proposed reflector geometric factors in the two performance metrics – uniformity and collected energy (power), for designing LED reflectors. Through canonical factor analysis, a linear structure equation for LED reflector is suggested, and the methodology for designing the optimal shape is discussed. In addition, a generalized factor and a synthesis response are proposed for a more comprehensive investigation of optical performance. Results indicate a key parameter for balancing the optical performance, and the effects of various parameters and the trade-offs are revealed.
Źródło:
Optica Applicata; 2020, 50, 1; 95-110
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparative assesment of steady-state pipeline gas flow models
Analiza porównawcza modeli przepływu gazu w rurociągu w stanach ustalonych
Autorzy:
Chaczykowski, M.
Osiadacz, A.
Powiązania:
https://bibliotekanauki.pl/articles/963887.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
pipeline gas flow
steady-state flow model
convective term
kinetic energy term
design flow equation
GERG 2004 application
transport rurociągowy
ustalony przepływ gazu
człon konwekcyjny
człon energii kinetycznej
równanie przepływu
metoda GERG 2004
Opis:
One-dimensional, non-isothermal flow of gas in a straight pipe has been considered to predict pressure and temperature profiles along the horizontal pipeline under steady-state conditions. Selected analytical models for the simplified calculation of these profiles are evaluated on the basis of the numerical solution of the accurate model, which incorporates the convective term in the momentum equation and the kinetic energy term in the energy equation, while treating the enthalpy as a function of pressure and temperature. For closure of the system of the conservation equations, the GERG 2004 equation of state was chosen. In order to present the discrepancies introduced by the models, the results of the numerical and analytical solutions are compared with the field data. The results show that in the case of the high pressure gas transmission system, the effects of the convective term in the momentum equation and the kinetic energy term in the energy equation are negligible for pipeline pressure and temperature calculation accuracies. It also indicates that real gas effects play an important role in the temperature distribution along the pipeline and cannot be neglected from the calculation when approximate analytical equations are used.
W artykule analizowano jednowymiarowy, nieizotermiczny przepływ gazu w stanie ustalonym w celu określenia zmian ciśnienia i temperatury w poziomym gazociągu. Wyniki uproszczonych obliczeń za pomocą wybranych modeli analitycznych zostały porównane z wynikami obliczeń uzyskanych za pomocą numerycznego całkowania modelu dokładnego, zawierającego człon konwekcyjny w równaniu pędu oraz człon energii kinetycznej w równaniu energii, jednocześnie przyjmując entalpię jako funkcję ciśnienia i temperatury. W celu zamknięcia układu równań zachowania zastosowano równanie stanu zgodnie z metodą GERG 2004. Dla przedstawienia niedokładności związanych z zastosowaniem różnych modeli, przeprowadzono weryfikację wyników na zbiorze danych rzeczywistych. Wyniki pokazują, że w przypadku systemów przesyłowych wysokiego ciśnienia, wpływ członu konwekcyjnego w równaniu pędu oraz członu energii kinetycznej w równaniu energii jest pomijalny z punktu widzenia dokładności obliczeń wartości ciśnienia i temperatury w gazociągu. Ponadto, wyniki pokazują, że prawidłowy opis właściwości gazu rzeczywistego odgrywa ważną rolę w obliczeniach zmian temperatury wzdłuż gazociągu i powinien być stosowany w przypadku przybliżonych metod analitycznych.
Źródło:
Archives of Mining Sciences; 2012, 57, 1; 23-38
0860-7001
Pojawia się w:
Archives of Mining Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
ANN model of stress-strain relationship for aluminium sponge in uniaxial compression
Autorzy:
Dudzik, Marek
Stręk, Anna Małgorzata
Powiązania:
https://bibliotekanauki.pl/articles/1839632.pdf
Data publikacji:
2020
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
artificial neural network design
compressive behaviour
open-cell aluminium
model equation
Opis:
In this article, we present a proposition of a model of the compressive behaviour of open- -cell aluminium with relation to the material apparent density. The research was based on experimental data from uniaxial compression tests conducted for two sample lots. These results were analysed with the use of neural networks in a specially designed algorithm. The main criterion for choosing a satisfactory approximation was mean absolute relative error MARE<5%. As a result of the analysis, the sought relation was extracted and is presented as a proposition of a new ANN model of the compressive stress-strain relationship for aluminium sponge.
Źródło:
Journal of Theoretical and Applied Mechanics; 2020, 58, 2; 385-390
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Boundary integral representations of second derivatives in shape optimization
Autorzy:
Eppler, Karsten
Powiązania:
https://bibliotekanauki.pl/articles/729245.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
optimal shape design
fundamental solution
boundary integral equation
second-order derivatives
optimality conditions
Opis:
For a shape optimization problem second derivatives are investigated, obtained by a special approach for the description of the boundary variation and the use of a potential ansatz for the state. The natural embedding of the problem in a Banach space allows the application of a standard differential calculus in order to get second derivatives by a straight forward "repetition of differentiation". Moreover, by using boundary value characerizations for more regular data, a complete boundary integral representation of the second derivative of the objective is possible. Basing on this, one easily obtains that the second derivative contains only normal components for stationary domains, i.e. for domains, satisfying the first order necessary condition for a free optimum. Moreover, the nature of the second derivative is discussed, which is helpful for the investigation of sufficient optimality conditions.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2000, 20, 1; 63-78
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Speeds of movement of the point of gearing along contact lines in screw gear globoid cylindrical tooth gearing
Skorosti dvizhenija tochki zaceplenija vdol kontaktnykh linijj v krugovintovojj zubchatojj globoidno-cilindricheskojj peredache
Autorzy:
Ututov, N.
Plyasulya, N.
Powiązania:
https://bibliotekanauki.pl/articles/793563.pdf
Data publikacji:
2014
Wydawca:
Komisja Motoryzacji i Energetyki Rolnictwa
Tematy:
tooth gearing
speed
rational design
wheel
relative speed
cylindrical gear
mathematical model
equation
Źródło:
Teka Komisji Motoryzacji i Energetyki Rolnictwa; 2014, 14, 1
1641-7739
Pojawia się w:
Teka Komisji Motoryzacji i Energetyki Rolnictwa
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal internal dissipation of a damped wave equation using a topological approach
Autorzy:
Münch, A
Powiązania:
https://bibliotekanauki.pl/articles/907858.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
projektowanie kształtu
równanie falowe
pochodna topologiczna
shape design
wave equation
level set
topological derivative
numerical viscosity
Opis:
We consider a linear damped wave equation defined on a two-dimensional domain [...], with a dissipative term localized in a subset [...]. We address the shape design problem which consists in optimizing the shape of [...] in order to minimize the energy of the system at a given time T. By introducing an adjoint problem, we first obtain explicitly the (shape) derivative of the energy at time T with respect to the variation in [...]. Expressed as a boundary integral on [...], this derivative is then used as an advection velocity in a Hamilton-Jacobi equation for shape changes. We use the level-set methodology on a fixed working Eulerian mesh as well as the notion of the topological derivative. We also consider optimization with respect to the value of the damping parameter. The numerical approximation is presented in detail and several numerical experiments are performed which relate the over-damping phenomenon to the well-posedness of the problem.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 1; 15-37
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Infinite-dimensional Sylvester equations: basic theory and application to observer design
Autorzy:
Emirsajłow, Z.
Powiązania:
https://bibliotekanauki.pl/articles/331453.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
równanie nieskończenie wymiarowe
półgrupa złożona
obserwator stanu
infinite dimensional Sylvester equation
implemented semigroup
state observer design
Opis:
This paper develops a mathematical framework for the infinite-dimensional Sylvester equation both in the differential and the algebraic form. It uses the implemented semigroup concept as the main mathematical tool. This concept may be found in the literature on evolution equations occurring in mathematics and physics and is rather unknown in systems and control theories. But it is just systems and control theory where Sylvester equations widely appear, and for this reason we intend to give a mathematically rigorous introduction to the subject which is tailored to researchers and postgraduate students working on systems and control. This goal motivates the assumptions under which the results are developed. As an important example of applications we study the problem of designing an asymptotic state observer for a linear infinite dimensional control system with a bounded input operator and an unbounded output operator.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 245-257
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal Shape Design for Elliptic Equations Via Bie-Methods
Autorzy:
Eppler, K.
Powiązania:
https://bibliotekanauki.pl/articles/911209.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
rozwiązanie podstawowe
równanie całkowe
optimal shape design
fundamental solution
boundary integral equation
first-order necessary condition
Opis:
A special description of the boundary variation in a shape optimization problem is investigated. This, together with the use of a potential theory for the state, result in natural embedding of the problem in a Banach space. Therefore, standard differential calculus can be applied in order to prove the Frechet-differentiability of the cost function for appropriately chosen data (sufficiently smooth). Moreover, necessary optimality conditions are obtained in a similar way as in other approaches, and are expressed in terms of an adjoint state for more regular data.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 487-516
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reduced order controllers for Burgers equation with a nonlinear observer
Autorzy:
Atwell, J. A.
Borggaard, J. T.
King, B. B.
Powiązania:
https://bibliotekanauki.pl/articles/908128.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
równanie Burgersa
obserwatory nieliniowe
Burgers' equation
reduced order controllers
proper orthogonal decomposition
minmax control design
stabilized finite elements
Opis:
A method for reducing controllers for systems described by partial differential equations (PDEs) is applied to Burgers' equation with periodic boundary conditions. This approach differs from the typical approach of reducing the model and then designing the controller, and has developed over the past several years into its current form. In earlier work it was shown that functional gains for the feedback control law served well as a dataset for reduced order basis generation via the proper orthogonal decomposition (POD). However, the test problem was the two-dimensional heat equation, a problem in which the physics dominates the system in such a way that controller efficacy is difficult to generalize. Here, we additionally incorporate a nonlinear observer by including the nonlinear terms of the state equation in the differential equation for the compensator.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1311-1330
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
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