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PL
Postawiono funkcjonał do minimalizacji prowadzącej do zadanego rozkładu ciśnienia na łopatkach maszyny przepływowej. Wyprowadzono zagadnienie o ciągłych zmiennych kontrolnych i zmiennych stanu sprzężone do równań Eulera ustalonego poddźwiękowego przepływu gazu w oparciu o różniczkowanie lokalne. Przedstawiono wyniki optymalizacji z rozwiązywaniem zdyskretyzowanych równań Eulera i równań sprzężonych na siatce rzadkiej i siatce nieznacznie zagęszczonej przy ścianach.
EN
A functional whose minimization is to lead to pressure distribution required on turbomachinery blades was posed. An adjoint shape optimization problem with continues states and controls was derived to Euler equations of steady subsonic gas flow on the basis of differentiation in spatially fixed condition. Some results of optimization where Euler and adjoint equations were solved on a sparse grid and on a grid slightly thickened near the walls were presented.
PL
Przedstawiono oryginalny algorytm trójwymiarowego modyfikowania kształtu kanałów sprężarek przepływowych. Parametryzację nowych kształtów wykonano z oszczędnym użyciem parametrów w oparciu o wielomiany bazowe i koncepcję kształtowania profili. Zaproponowano dwa etapy kształtowania - na poziomie analitycznym i podczas budowy siatki obliczeniowej. Na przykładzie gradientowej optymalizacji ułopatkowania koła sprężarki odśrodkowej porównano kształtowanie wielomianami Bernsteina i funkcjami sklejanymi z korzyścią dla wielomianów Bernsteina.
EN
A genuine algorithm for 3-D reshaping of turbo-compressor flow channels was presented. New shapes were parameterized on polynomial base functions, and on a conception of reshaping profiles by the use of minimum number of parameters. Two levels of reshaping have been proposed: an analytical one and during grid generation. Exemplary shape optimization of centrifugal compressor impeller was performed by a gradient method to compare the results of reshaping by Bernstein polynomials with reshaping by cubic B-splines, in Bernstein polynomials favor.
EN
Theoretical approach to modeling multi-source plant is presented in the paper. The output value of the model is equivalent sound level, averaged within a given time. General assumptions and rules adopted in the model were described. The rules must take into account complexity of the source movement and functioning. The relations between the imission relevant sound power level and measurable values are determine.
EN
This paper deals with the distribution of acoustical field emitted by multi-source plant. As an example the bus depot was considered. Many sound sources operating over a large area, generate sound of level varying in time. Within the area of the depot and in its vicinity there are some buildings that play important role of acoustic barriers. Examples of calculation by means of developed model are presented.
PL
W artykule przedstawiono założenia, podstawowe równania teoretyczne i algorytm opracowanego programu rozwiązywania przepływów lepkich płynu ściśliwego i nieściśliwego w wirujących i nieruchomych kanałach maszyn przepływowych. Wyniki zobrazowano na przykładzie charakterystyk elementów układu hydraulicznego pompy odśrodkowej o specjalnym przeznaczeniu.
EN
In this paper the assumptions, basic theoretical equations and algorithm of the procedure used for the compressible and uncompressible viscid fluid flow calculations in the rotating and stationary channels of turbomachinery are presented. The results are shown as the characteristics of the hydraulic system elements of the centrifugal pump for special applications.
EN
This paper aims at presenting calculating model for predicting long-term equivalent sound level near the airfields. In the vicinity of airports noise is affected not only by landing and taking off aircrafts but also by noisy aircraft ground operations. They are related to run up procedures, taxiing of an aircraft from stand or sleeve to the beginning of the runway and after landing from the runway to the stand. Also noise generated by auxiliary power units (APU) or other external generators used to maintain air-conditioning systems and power electrical equipment during the plane's stop over between flights has influence on the equivalent level. An aircraft is represented by a single point source described by immission relevant sound power level, directivity characteristic, speed of moving along taxiway and time of run-up operation. Noise generated by APU is incorporated into the model as a point source located at stand position. Input data were collected for passenger aircraft at the Wroclaw airport under normal working conditions. The computer program was developed
PL
Porównano ze sobą dyskretyzacje wyższego rzędu składników konwekcji oparte o schemat MUSCL dla 3D laminarnego ustalonego przepływu cieczy przez kanał. Wyznaczono rozkład prędkości w kanale zakrzywionym i porównano z eksperymentem. Testowano miarę niedokładności rozwiązań stanowiącą residuum równania energii mechanicznej.
EN
The higher-order schemes based on the MUSCL approach have been compared for the 3D laminar steady flow through a channel. The velocity distribution in the curved channel has been determined and compared with the experimental data. The measure of an inaccuracy of the solution, that was the residuum of the mechanical energy equation, has been tested.
8
Content available remote One-dimensional model of a pulsating viscous flow in tubes
EN
A mathematical formulation based on the 1-D NS equations of an unsteady compressible viscous flow in a long one-side closed tube has been presented. The source terms have been estimated on the basis of a solution to the linearized 2-D problem that was obtained earlier. A central spatial discretization and the fourth order Runge-Kutta scheme for time integration have been applied to solve the NS equations. A comparison of outcomes of the model with experimental results for transferring a pressure signal through pneumatic transmission lines has been carried out. Sources of some discrepancies between them have been discussed.
EN
A finite volume numerical method for the prediction of a fluid flow in complex geometries such as turbomachinery channels has been parallelized using a domain decomposition approach. A mathematical formulation of a 3-D incompressible steady flow has been presented on the basis of the N-S equations in a grid-oriented co-ordinate system with contravariant velocity components. A parallelized pressure-based implicit algorithm with discretization on a staggered grid has been developed. A message exchange system with a boundary exchange, developed by the authors, has been described. Exemplary calculations have been carried out for a laminar flow through a curved duct and for an inviscid flow through a stage of the centrifugal pump. A good agreement has been obtained in both the cases. Despite considerable simplification that has been introduced in the flow through the pump stage, the computations have shown nearly the same pressure rise in the stage as the measurements. Further directions of numerical investigations of a flow through turbomachines, including in particular those devoted to pressure losses related to the rotor-stator interaction, have been mentioned.
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