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EN
The present analysis focuses on the investigation of the two-dimensional flow passing a bridge pier nearby a splitter plate in different regimes of a laminar flow. The splitter plate is T-shaped and two different cases have been studied based on the form of the splitter plate relative to the bridge pier. The analysis is implemented for steady and incompressible water flow in an open channel. The current study deals with velocity vectors, drag coefficients, lift coefficients, and skin friction. The analysis of the velocity vector gave a good indicator about the separation process and dissipation, which occurs at the splitter plate before the occurrence of these processes at the front face of the pier, especially the flow separation process. Moreover, the velocity vector gave a good image about the flow direction at two regions, the first region is located between the rear portion of the splitter plate and the frontal face of the pier, while the second region is the wake region, which is located at the downstream of the pier. Negative drag coefficient, lift coefficient, and skin friction coefficient values are obtained from the analysis. This happens due to the existence of the splitter plate that leads to the reduction of these values.
EN
The article presents ε-approximation of hydrodynamics equations’ stationary model along with the proof of a theorem about existence of a hydrodynamics equations’ strongly generalized solution. It was proved by a theorem on the existence of uniqueness of the hydrodynamics equations’ temperature model’s solution, taking into account energy dissipation. There was implemented the Galerkin method to study the Navier-Stokes equations, which provides the study of the boundary value problems correctness for an incompressible viscous flow both numerically and analytically. Approximations of stationary and non-stationary models of the hydrodynamics equations were constructed by a system of Cauchy-Kovalevsky equations with a small parameter ε. There was developed an algorithm for numerical modelling of the Navier-Stokes equations by the finite difference method.
3
Content available Difference melt model
EN
The basic objective of the research is to construct a difference model of the melt motion. The existence of a solution to the problem is proven in the paper. It is also proven the convergence of the difference problem solution to the original problem solution of the melt motion. The Rothe method is implemented to study the Navier-Stokes equations, which provides the study of the boundary value problems correctness for a viscous incompressible flow both numerically and analytically.
EN
The performance of modified anchor impellers in stirred tanks is investigated. The classical anchor impeller is taken as a reference, then the upper part of the blade arm is curved at different degrees (α). Three geometrical configurations are explored, namely: α = 0° (which corresponds to the standard shape of anchor impellers), 45°, and 90°. The study is achieved numerically by using a finite volume method based CFD tool. The case of highly viscous Newtonian fluids under laminar flow conditions is considered. From the obtained results, the newly modified anchor impeller has allowed an enhancement in the axial circulation of liquid and a reduction in power requirements. The curved blade with 90° yielded a decrease in power number by about 2.5%, compared to the classical anchor impeller.
PL
W pracy przebadano działanie zmodyfikowanych mieszadeł kotwicowych w zbiornikach z mieszaniem. Jako element referencyjny przyjęto klasyczne mieszadło kotwicowe, w którym górną część ramienia łopatki zakrzywiono pod różnym kątem (α). Przebadano trzy konfiguracje geometryczne, a mianowicie: α = 0° (co odpowiada standardowemu kształtowi mieszadła kotwicowego), 45° i 90°. Badania realizowano numerycznie przy użyciu metody objętości skończonych CFD. Rozważany przypadek dotyczy wysoko lepkich płynów newtonowskich w warunkach przepływu laminarnego. Na podstawie uzyskanych wyników zmodyfikowane mieszadło kotwicowe umożliwiło zwiększenie osiowej cyrkulacji cieczy i zmniejszenie zapotrzebowania na moc. Zakrzywiona łopatka o kącie 90° spowodowała spadek liczby mocy o około 2,5% w porównaniu z klasycznym mieszadłem kotwicowym.
EN
This paper presents the groundwater modelling of Beni Abbes palm grove in Southwest Algeria. Beni Abbes oasis alluvial aquifer is part of the Saoura Valley aquifer system, including a loose slick contained in a Quaternary alluvial embankment that fills the Beni Abbes basin. To address local needs, industry and agriculture, groundwater has been intensively exploited in recent years. Groundwater of the Beni Abbes oasis in the Saoura Valley oasis chain, is composed of a complex system, whose layer of alluvial terraces ensures a vital role for a 40-hectare palm grove. Due to its architectural position in the local aquifer system, the alluvial aquifer is mainly fed by the Great Western Erg and sometimes by the Saoura River floods. Based on the hydrogeological, hydrochemical characterisation and hydrodynamic modelling of the alluvial aquifer system of the Beni Abbes oasis, the mathematical model of finite difference and finite difference at steady state leads to the estimation of the hydrodynamic parameters of the aquifer and the evaluation of the complete water balance. The main results of this study provide a better understanding of the geometry and functioning of this aquifer currently in a state of concern. Furthermore, it is necessary to undertake integrated water resource management in this oasis in order to ensure sustainable development.
PL
W pracy przedstawiono modelowanie wód podziemnych w gaju palmowym Beni Abbes w południowozachodniej Algierii. Aluwialny poziom wodonośny oazy Beni Abbes jest częścią systemu wód podziemnych doliny rzeki Saoura, łącznie z wodami zawartymi w czwartorzędowym aluwialnym obwałowaniu, które wypełnia basen Beni Abbes. Wody te w ostatnich latach były intensywnie eksploatowane, aby zaspokoić potrzeby ludności, przemysłu i rolnictwa. Wody gruntowe oazy Beni Abbes, jednego z elementów łańcucha oaz doliny Saoury, stanowią złożony system, którego warstwa aluwialnych tarasów spełnia kluczową rolę dla utrzymania 40-hektarowego gaju palmowego. Z powodu swojego usytuowania w lokalnym systemie poziomów wodonośnych poziom aluwialny jest zasilany z Wielkiej Pustyni Zachodniej, a czasami także przez wylewy rzeki Saoura. Wykorzystując dane hydrogeologiczne i hydrochemiczne, zbudowano model aluwialnego poziomu wodonośnego oazy Beni Abbes, który umożliwił ustalenie parametrów hydrodynamicznych poziomu i ocenę całkowitego bilansu wodnego. Wyniki tych badań pozwalają lepiej zrozumieć geometrię i funkcjonowanie poziomu wodonośnego, będącego obecnie w stanie zagrożenia. Niezbędne jest zorganizowanie zintegrowanego zarządzania zasobami wodnymi oazy, aby zapewnić jej zrównoważony rozwój.
EN
The calculation of unknown hydrodynamic derivatives of the equations of motion is the first step to estimate ship maneuverability and dynamic stability. These derivatives can be obtained theoretically, experimentally and numerically. Despite the development of the oblique towing model test to measure the hydrodynamic derivatives of displacement ships, limited experimental results are available for hydrodynamic derivatives of high speed crafts and speed dependency of the hydrodynamic derivatives is not understood well. In this paper a systematic series of model tests is described to determine the effect of forward speed on hydrodynamic derivatives of a monohull planing craft and the variations of the hydrodynamic derivatives by forward speed are derived. According to the results, hydrodynamic derivatives of planing hull are dramatically changed by variations of forward speed. Moreover, it is not possible to introduce a constant hydrodynamic derivative in the all the ranges of drift angle. Thus, the method of known constant hydrodynamic derivatives is not applicable to the simulation of planing craft maneuvering and variable hydrodynamic derivatives should be applied.
7
Content available remote The impact of processes of sediment transport on storage reservoir functions
EN
Maintaining the good condition of water reservoirs is always one of the main tasks of water management. This is especially vital when the reservoir serves as a water supply and/or a facility for recreational activities. No only what goes into the lake but also everything that is stored within the area needs to be considered. In a case of dam reservoirs, one of the important issues is the transport and storage of sediment. This paper focuses on the sediment which is characteristic of the Dobczyce Reservoir and considers situations which may potentially generate problems from the point of view of maintaining good condition of the water body.
PL
Utrzymanie dobrego stanu zbiorników wodnych jest zawsze jednym z najważniejszych zadań gospodarki wodnej. Jest tak zwłaszcza, gdy wśród funkcji rezerwuaru znajduje się zaopatrzenie w wodę i/lub rekreacja. Z jednej strony należy zwrócić uwagę na materię dostarczaną do zbiornika, z drugiej zaś na to, co w tej przestrzeni jest deponowane. Ta praca skupia się na charakterystyce osadów zbiornika Dobczyckiego i rozważeniu scenariuszy mogących generować sytuacje problemowe dla utrzymania dobrego stanu zbiornika wodnego.
EN
Experiments on a confined fluidized bed system with various shapes of particles have been presented in the paper. Its influence on hydrodynamic properties in the whole range of gas velocity has been analysed. Relations allowing calculation of the Richardson-Zaki-type equation coefficients, including description of inter-particle void and gas pressure drop in such systems have been determined. Necessary condition for confined fluidization of non-spherical coarse particles has also been determined.
EN
Floating-type wave energy converter has the advantages of high wave energy conversion efficiency, strong shock resistance ability in rough sea and stable output power. So it is regarded as a promising energy utilization facility. The research on hydrodynamic performance of wave capture buoys is the precondition and key to the wave energy device design and optimization. A simplified motion model of the buoys in the waves is established. Based on linear wave theory, the equations of motion of buoys are derived according to Newton’s second law. The factors of wave and buoys structural parameters on wave energy absorption efficiency are discussed in the China’s Bohai Sea with short wave period and small wave height. The results show that the main factor which affects the dynamic responses of wave capture buoys is the proximity of the natural frequency of buoys to the wave period. And the incoming wave power takes a backseat role to it at constant wave height. The buoys structural parameters such as length, radius and immersed depth, influence the wave energy absorption efficiency, which play significant factors in device design. The effectiveness of this model is validated by the sea tests with small-sized wave energy devices. The establishment methods of motion model and analysis results are expected to be helpful for designing and manufacturing of floating-type wave energy converter.
10
EN
This article deals with applying numerical finite element models to forecast the phenomena’s dynamics in retention reservoirs. Due to the fact of diversity and the dynamism of these phenomena on storage reservoirs, it is important to predict them for a good management of these objects. Historical observations can be a good source of clues for proceeding in a specific case. It is not directly used to all the possibilities. It is important to use a tool, which can estimate probable scenarios. Thanks to the use of simulation programs, it is possible both to predict physical and chemical processes, and to use the solutions to forecasts and research plans.
PL
W artykule omówiono zastosowanie modeli numerycznych bazujących na metodzie elementów skończonych do symulacji dynamiki zjawisk na zbiornikach retencyjnych. Ze względu na różnorodność zjawisk, wzajemne powiązania i złożoność dynamiki ich przemian, istotna z punktu widzenia zarządzania akwenem jest ich predykcja. Obserwacje historyczne są niezbędnym źródłem informacji, ale mają ograniczony zakres. Nie można ich wprost przełożyć na całe spektrum zjawisk, ich źródeł i konsekwencji. Ważne jest wykorzystanie właściwych narzędzi, które umożliwiają symulacje dynamiki dla prawdopodobnych scenariuszy. W przypadku akwenów istotna jest ocena zmian fizycznych i jakościowych.
PL
Bioługowanie rud na hałdzie stało się komercyjnym procesem, pozwalającym na odzysk metalu z ubogich surowców mineralnych. Proces bioługowania prowadzony na hałdzie jest uzależniony od czynników mikrobiologicznych, chemicznych i hydrodynamicznych. W pracy zostały przedstawione wyniki testów prowadzonych w kolumnie z upakowanym złożem, zawierającym rudę i dodatki. Ustalony został wpływ różnych dodatków (piryt, siarka, szkło i polietylen) na stopień odzysku miedzi z rudy łupkowej. Do badań zostały użyte bakterie Acidithiobacillus ferrooxidans, pochodzące z własnej kolekcji. Bakterie były hodowane na dwóch pożywkach – 2K i 9K. Surowcem użytym w badaniach był odpad z pierwszego czyszczenia, pochodzący z Zakładu Wzbogacania Rud Lubin. Materiał ten zawierał najwięcej minerałów wchodzących w skład rudy łupkowej. Doświadczenia przeprowadzono, stosując różne ilości dodatków do złoża rudy, znajdującej się w kolumnie. Badania wskazały na istotną rolę, jaką odgrywa immobilizacja (unieruchomienie) komórek bakteryjnych na powierzchni ciał stałych w procesie bioługowania. Określony został wpływ warunków hydrodynamicznych istniejących w porowatym złożu na odzysk miedzi. W optymalnych warunkach odzysk miedzi przekroczył 70% po 14 dniach prowadzenia procesu bioługowania.
EN
Heap bioleaching is a well establish commercial process for metal recovery from low-grade ores. Bioleaching process carried out in the heap is influenced by microbiological, chemical, and hydrodynamic factors. In this paper, the column tests data are presented. The effect of various additives (pyrite, sulphur, glass, and polyethylene) to the black ore on the copper recovery during the black shale bioleaching has been evaluated. For the bacteria growth two different media (2K and 9K) were used. The ore material selected for the bioleaching experiments was taken from the industrial flotation circuit (middlings from 1st cleaning) from Lubin Concentrator. The bioleaching tests were conducted with different amounts of additives which were added to the column packed with black shale ore. These experiments reveal that the microbial cells immobilization has an effect on the copper recovery. The role of hydrodynamic conditions in porous media is also described in the context of copper recovery. Under the optimal conditions, the extraction of copper was obtained more than 70% in 14 days, which is better than bioleaching without additives.
EN
The studies of hydrodynamic of gas flow through various types of porous materials kind of coal-char are presented. The permeability data shows diversified conditions of gas flow. The main reason of this is results of anisotropic structure of these materials. Numerical modeling indicated the concept of gas flow through a tortuous structure of the porous materials is also reported.
13
Content available Study of the state a Francis turbine
EN
This paper presents a methodology to evaluate the technical state of a Francis turbine by shaft rotor dynamic simulation. There are several rotor dynamic criteria that define the technical state of a turbo-machine. To feed the shaft rotor dynamic model this delivers the required information to accomplish the technical assessment. The numerical rotor dynamic model uses as input, the field forces obtained by the fluid-solid interaction analysis undertaken over the blades of the runner. The rotor dynamic numerical simulations allow to determinate the record-in-time of the displacements of any point along the shaft. This information is relevant for diagnosis tasks, because it is possible to decompose it spectrally and to estimate the severity of the vibrations. Comparing the results of the numerical model against those obtained from machines that operates under normal conditions, it is possible to determinate the technical state of the turbo-machine. This allows studying the stability of the turbine working on several operation ranges. A Francis turbine is a very complex machine that involves many physical phenomena of different nature. In this way, the hydraulic input forces needed by the rotor dynamic model should not be assumed but calculated directly from the fluid interaction over the turbine structure.
PL
W artykule przedstawiono próbę opisu zjawisk hydrodynamicznych zachodzących podczas przepływu dwufazowego gaz-ciecz w minikanałach w oparciu o badania eksperymentalne. Metodę wizualizacji przepływu oraz fluktuacje zmian poziomów szarości zarejestrowanych obrazów powiązano ze strukturami przepływu i dokonano oceny hydrodynamiki przepływu w zależności od średnicy hydraulicznej. Przeprowadzona analiza pozwoliła wykazać znaczące różnice w poszczególnych minikanałach.
EN
The article presents an attempt to describe the hydrodynamic phenomena occurring during the two-phase flow in gas-liquid minichannels based on experimental studies. The method of flow visualization and the fluctuation of gray level changes recorded images were related with the flow structures and made evaluation of the hydrodynamics of flow according to the hydraulic diameter.
EN
This paper presents a methodology to evaluate the technical state of a Francis turbine by shaft rotor dynamic simulation. There are several rotor dynamic criteria that define the technical state of a turbomachine. To feed the shaft rotor dynamic model this delivers the required information to accomplish the technical assessment. The numerical rotor dynamic model uses as input, the field forces obtained by the fluid-solid interaction analysis undertaken over the blades of the runner. The rotor dynamic numerical simulations allow to determinate the record-in-time of the displacements of any point along the shaft. This information is relevant for diagnosis tasks, because it is possible to decompose it spectrally and to estimate the severity of the vibrations. Comparing the results of the numerical model against those obtained from machines that operates under normal conditions, it is possible to determinate the technical state of the turbomachine. This allows studying the stability of the turbine working on several operation ranges. A Francis turbine is a very complex machine that involves many physical phenomena of different nature. In this way, the hydraulic input forces needed by the rotor dynamic model should not be assumed but calculated directly from the fluid interaction over the turbine structure.
EN
The context of this paper implies disciplines of mechanical design, machining and hydrodynamics behaviours applied to propellers. Performances of propellers are linked with their shape and their surface texture. To optimise hydrodynamics behaviours, it is demonstrated in this paper that required polishing operation is not essential. To study the influence of an predefined surface texture on the performances of a three-dimensional foil, a comparative analysis is conducted. The presented methodology allows the definition of tool paths, according to the desired surface texture and upstream flow. Three foils are machined, and their performances are compared to each other: the first, considered as the reference, has a surface roughness like mirror, the second features machined peaks parallel to the upstream flow and the third has machined peaks following streamlines obtained by Computational Fluid Dynamics for operating conditions. The validation of this method is experimental: on the one hand by the manufacturing of foils following pre-established trajectories, and on the other hand by the functional test in hydrodynamic tunnel. This paper presents the methodology steps, and the hydrodynamic behaviours that the three different foils show. In a first approach, the different surface textures do not influence the lift coefficient but strongly influence the drag coefficient of a foil. Furthermore several hypotheses educed from the observed tendencies are discussed.
EN
A hydrodynamic viscous incompressible fluid flow through a porous medium between two porous disks rotating with same angular velocity [...] about two non-coincident axes has been studied. An exact solution of the governing equations has been obtained in a closed form. It is found that the primary velocity [...] increases and the secondary velocity [...] decreases with an increase in either the Reynolds number Re or porosity parameter [...]. It is also found that the torque at the disks [...] and [...] decreases with an increase in either [...] or . The heat transfer haracteristic has also been studied on taking viscous dissipation into account. It is found that the rate of heat transfer at both the disks [...] and [...] decreases with an increase in [...].
EN
The magnetodynamic stability of streaming annular jet surrounding a tar mantle under inertia and electromagnetic forces with varying magnetic fields, is developed. A general eigenvalue relation is derived and discussed. The axial interior and exterior fields have strong stabilizing influences for symmetric m = 0 and asymmetric m ≠ 0 modes. The azimuthal varying field is purely destabilizing for m = 0 but in the m ≠ 0 it is stabilizing or destabilizing according to restrictions. The streaming has a strong destabilizing influence in all modes for all wavelengths. Its influence increases the MFD unstable domains and decreases those of stability. As the tenuous azimuthal magnetic field infuence is superior to those of axial fields, the MFD unstable domains are increasing with increasing q (the tar cylinder radius normalized with respect to that of the fluid) values andvice versa. If the unperturbed fluid velocity is smaller than the Alfven wave velocity, the model destabilizing character is suppressed and stability arises.
PL
Monografia zawiera podsumowanie postępów w rozwoju teorii i techniki fluidyzacji w czasie ostatniego trzydziestolecia. Opracowanie obejmuje hydrodynamikę, wymianę ciepła i masy podczas fluidyzacji ciecz-cialo stałe, gaz-ciało stałe i fluidyzacji fontannowej. Ponadto scharakteryzowano poszczególne rodzaje układów fluidalnych gaz-ciało stałe oraz omówiono właściwości cyrkulacyjne-go złoża fluidalnego. Przedstawiono opisy modelowe poszczególnych typów złóż fluidalnych. Dokonano analizy fontannowych układów fluidalnych oraz omówiono charakterystykę zraszanych złóż fontannowych. Podane zostały również przykładowe zastosowania w przemyśle poszczególnych rodzajów aparatów fluidyzacyjnych.
EN
The monograph contains a summary of the advances made in fluidization theory and technique over, the last thirty years. In particular, the work comprises hydrodynamics, heat and mass transfer in solid-liquid fluidized beds, gas-solid fluidized beds and in spouted beds. Moreover, particular types of fluidized beds are characterized and a circulating fluidized bed system is discussed. Model descriptions of different fluidized bed systems are presented. Spouted beds are analyzed and characteristics of wetted spouted beds are discussed. Also examples of application of the various types of fluidizing apparatus are given.
EN
An analysis of the effect of thermal and flow conditions in the combustion chamber of the circulating fluidized-bed (CFB) boiler on the gaseous pollutant emission was undertaken in the study. The tests were carried out on a 670 MW boiler operating in the power engineering industry. On the basis of the obtained test results it was found that the optimization of primary and secondary air distribution, as well as fuel distribution, allowed the following pollutant reductions: CO by 52%, SO2 by 40% and NO by 6% in relation to the standard operation conditions of the boiler under investigation. The test results demonstrated that increasing the number of repetitions of bed material particle circulation between the combustion chamber and the recycling system resulted in an equalization of temperature distribution along the combustion chamber height and elongated the time of residence of sorbent particles in the CFB system. Ultimately, the test results showed the following pollutant reductions: CO by 71%, SO2 by 41% and NOX by 19% with the number of particle circulation repetitions increased from 28 to 60 for the boiler analyzed.
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