Dissertations / Theses on the topic 'Impeller discharge flow coefficient'

The thesis contains basic information about propeler turbines. It deals with the correct location in the fountain so as to ensure the highest possible performance. Part of the work is devoted to the all-weather resulting blade to blade channels and their impact on the room is filled with diffuser.

The hydrodynamics of an agitated tank have been studied byphase-Doppler anemometry. The focus is on the impeller anddischarge region of a 45o pitched blade turbine (PBT). Thestudy includes agitation of pure water as well as of a dilutesuspension of process particles. A three-dimensionalphase-Doppler anemometer is used to measure local,instantaneous, three-dimensional velocities of the fluid and ofthe suspended particles. A shaft encoding technique is used toresolve the turbulent fluctuations from the periodic velocityfluctuation due to the impeller blades, and to provide moredetailed information about the variations relative to theimpeller blade. Velocity bias is corrected for by the total3-dimensional velocity.

The mean flow field, the fluctuating velocities, and thecomplete Reynolds stress tensor, are reported for the liquidphase flow. The periodic fluctuations in the flow that aregenerated by the impeller blades are eliminated in theexamination of the turbulence. The anisotropy of the turbulenceis assessed by the invariants of the anisotropy tensor. Thetrailing vortex structure is demonstrated to be associated withhigh kinetic energy and strong anisotropy of the turbulence.The vortex is still observable 130-140 degrees behind theblade. It gradually moves down from the impeller blade but thelocation in radial direction remains essentially unchanged. Theinfluence of the periodic fluctuations is examined and it isshown that the turbulence appears more isotropic when theperiodic fluctuations are not eliminated.

The solid particle concentration is low below the impellerand is high above the impeller tip. The particles diverge fromthe liquid flow mean direction, especially below the agitatorclose to the tip where the strongest turbulence is found.Periodic fluctuations in the particle concentration relate tothe variations found in the angle-resolved mean velocity andfluctuating velocity. The ratio of the maximum to the minimumconcentration is about 2.0 in the present study.

The baffles influence on the conditions in the impellerregion, and this influence can be observed on the fluid meanvelocity field, the angle-resolved velocities, the kineticenergy, and on the behavior of larger process particles. In theimpeller region the highest kinetic energies are about 15%higher upstream of the baffle than at the middle plane betweenthe baffles. The highest energy level in the middle plane isactually the lowest value and is therefore not representativewhen rotation symmetry is assumed.

Local energy dissipation rates have been investigated, andthe integration of the local energy dissipation rates overdifferent control volumes has been compared with macroscopicenergy balance calculations. The discrepancy is significant.Different reasons have been analyzed and recommendations forfurther investigation are given. I

n the outflow region there is a significant variation alsoin the direction of the instantaneous velocity, which may leadto direction bias in the case of non-spherical measurementvolume. In order to account for this direction bias, amathematical model is developed to estimate the projected areaof the measurement volume in LDA or PDA. It is shown that theprojected area variation can lead to a significant directionbias in determination of time averaged values and localparticle concentration in a highly turbulent stirred tank flow.This bias is however negligible for an orthogonal optical setup, as is used in the present study.

Keywords:Hydrodynamics, phase-Doppler anemometer,suspension, pitched-blade turbine, anisotropy, turbulence,Reynolds stresses, trailing vortex, kinetic energy, stirredtank

Rock weirs are small dam-like structures composed of large loose rock commonly found in ecological engineering design. By appearing more natural than concrete structures, rock weirs are preferred for use as hydraulic control structures in river engineering, stormwater management, and constructed wetlands. Rock weirs increase hydraulic head upstream, and facilitate fish passage, channel stabilization, floodplain reconnection, and in-stream habitat creation. When used in constructed wetlands, rock weirs play a valuable role in developing appropriate wetland hydrology. Although rock weirs are commonly used, a deficit of knowledge exists relating to the stage-discharge relationship of these structures. Therefore, the goal of this research was to determine a weir equation and corresponding discharge coefficients that improve predictions of flow through rock weirs. A flume study was conducted to develop a rock weir equation and discharge coefficients. Scaled model rock weirs were tested in a 1 m x 8 m x 0.4 m recirculating flume. Rock weirs varied by length (0.152 m, 0.305 m, and 0.457 m), depth (0.152 m and 0.305 m), and minimum rock diameter (12.7 mm, 19.1 mm, 25.4 mm). Three channel slopes were used (0%, 0.5%, 1%), and the flume discharge was varied for five water stages for each rock weir. Buckingham Pi analysis was used to develop seven dimensionless parameters. Regression analyses were then used to develop a model for discharge and the discharge coefficient. Results showed that weir length and depth play a significant role in predicting the discharge coefficient of rock weirs.
Master of Science
Rock weirs are small dam-like structures composed of large loose rock; by appearing more natural, they are preferred for use in river engineering, stormwater management, and constructed wetlands. Rock weirs increase upstream water depth, improving fish passage, channel stabilization, floodplain reconnection, and in-stream habitat creation. When used in design of constructed wetlands, rock weirs are used to establish the necessary water depths for a given type of wetland. Although rock weirs are commonly used in engineering design, there are no equations to predict water velocity or flow rate across these structures. Therefore, the goal of this research was to determine a weir equation that improves predictions of flow through rock weirs. A flume study was conducted to develop a rock weir equation. Miniature rock weirs were tested in a 1 m x 8 m x 0.4 m recirculating laboratory channel. Rock weirs varied by length (0.152 m, 0.305 m, and 0.457 m), depth (0.152 m and 0.305 m), and minimum rock diameter (12.7 mm, 19.1 mm, 25.4 mm). Three channel slopes were used (0%, 0.5%, 1%), and the water flow rate was varied for five water depths for each rock weir. Statistical analyses were conducted to determine an equation that predicts water flow through rock weirs for use in engineering design. Results showed that weir length and depth played a significant role in predicting water flow through rock weirs.

When designing a new fuel management system for a spark ignition engine the amount of air that is fed to the cylinders is highly important. A tool that is being used to improve the performance and reduce emission levels is engine modeling were a fuel management system can be tested and designed in a computer environment thus saving valuable setup time in an engine test cell. One important part of the modeling is the throttle which regulates the air. The current isentropic model has been investigated in this report. A throttle body and intake manifold has been simulated using Computational Fluid Dynamics (CFD) and the influence of surface heating and surface wall roughness has been calculated. A method to calculate the effective flow area has been constructed and tested by simulating at two different throttle plate angles and several pressure ratios across the throttle plate. The results show that both surface wall roughness and wall heating will reduce the mass flow rate compared to a smooth and adiabatic wall respectively. The reduction is both dependent on pressure ratio and throttle plate angle. The effective area has showed to follow the same behaviour as the mass flow rate for the larger simulated throttle plate angle 31 degrees, i.e. an increase as the pressure drop over the throttle plate becomes larger. At the smaller throttle plate angle 21 degrees, the behaviour is completely different and a reduction of the effective area can be seen for the highest pressure drop where a increase is expected.

När ett nytt bränslesystem ska designas till en bensinmotor är det viktigt att veta hur stor mängd luft som hamnar i cylindrarna. Ett verktyg som är på frammarsch för att förbättra prestanda och minska emissioner är modellbaserad simulering. Med hjälp av detta kan ett bränslesystem designas och testas i datormiljö och därigenom spara dyrbar tid som annars måste tillbringas i en motortestcell. En viktig del av denna modellering är spjället eller trotteln vilken reglerar luften. I denna rapport har studier gjort på den nuvarande isentropiska modellen. Ett spjällhus och insugsgrenrör har simulerats med hjälp av Computational Fluid Dynamics (CFD) och påverkan av värme samt ytjämnhet på väggen har beräknats. En metod att beräkna den effektiva genomströmmade arean har konstruerats och testats vid två olika spjällvinklar samt flertalet tryckkvoter över spjället. Resultaten visar att både en uppvärmd vägg och en vägg med skrovlighet kommer att minska massflödet jämfört med en adiabatisk respektive en slät vägg. Minskningen har både spjällvinkel samt tryckkvots beroende. Den effektiva genomströmmade arean har visats sig följa samma beteende som massflödet vid den större simulerade spjällvinkeln 31 grader, det vill säga öka med ökat tryckfall över spjället. Vid den mindre vinkeln 21 grader, är beteendet helt annorlunda jämfört med massflödet och en minskning av den effektiva arean kan ses vid det största tryckfallet där en ökning förväntades.

The relationship between the Reynolds number (Re) and discharge coefficients (C) was investigated through differential pressure flow meters. The focus of the study was directed toward very small Reynolds numbers commonly associated with pipeline transportation of viscous fluids. There is currently a relatively small amount of research that has been performed in this area for the Venturi, standard orifice plate, V-cone, and wedge flow meters. The Computational Fluid Dynamics (CFD) program FLUENT© was used to perform the research, while GAMBIT© was used as the preprocessing tool for the flow meter models created. Heavy oil and water were used separately as the two flowing fluids to obtain a wide range of Reynolds numbers with high precision. Multiple models were used with varying characteristics, such as pipe size and meter geometry, to obtain a better understanding of the C vs. Re relationship. All of the simulated numerical models were compared to physical data to determine the accuracy of the models. The study indicates that the various discharge coefficients decrease rapidly as the Reynolds number approaches 1 for each of the flow meters; however, the Reynolds number range in which the discharge coefficients were constant varied with meter design. The standard orifice plate does not follow the general trend in the discharge coefficient curve that the other flow meters do; instead as the Re decreases, the C value increases to a maximum before sharply dropping off. Several graphs demonstrating the varying relationships and outcomes are presented. The primary focus of this research was to obtain further understanding of discharge coefficient performance versus Reynolds number for differential producing flow meters at very small Reynolds numbers.

Orifices are essential devices for measurement and control of flow. It is important to define the flow field and understand the flow characteristics behind an orifice for the sake of reliability measures in many hydraulic engineering applications. Since analytical and experimental solutions are restricted, a numerical solution is obtained using volume of fluid (VOF) method with the CFD solver, FLUENT, for sharp crested orifices, orifice tubes and slots. The results are compared to the available data in the literature
also a large spectrum of data collection has been achieved.

Turbulent and cavitation induced pipe vibration is a large problem in industry often resulting in pipe failures. This thesis provides an experimental investigation on turbulent flow and cavitation induced pipe vibration caused by sharp edged baffle plates. Due to large pressure losses across a baffle plate, cavitation can result. Cavitation can be destructive to pipe flow in the form of induced pipe wall vibration and cavitation inception. Incipient and critical cavitation numbers are design points that are often used in designing baffle plate type geometries. This investigation presents how these design limits vary with the influencing parameters by exploring a range of different baffle plate geometries. The baffle plates explored contained varying hole sizes that ranged from 0.159 cm to 2.54 cm, with the total through area, or openness, of each baffle plate ranging between 11% and 60%. Plate thickness varied from 0.32–0.635 cm. Reynolds numbers ranged from 5 x 10^4 -85 x 104. The results show that the cavitation design limits are function of size scale effects and the loss coefficient only. The results also show that the loss coefficient for a baffle plate varies not only with total through area ratio, but also due with the plate thickness to baffle hole diameter ratio. Pipe wall vibrations were shown to decrease with increased through area ratio and increased thickness to diameter ratios. An investigation was also performed to characterize the attenuation of vibration in the streamwise direction of a baffle plate. It was show that the attenuation was largely effected by the presence of cavitation. Attenuation was shown to be a function of the geometry of the baffle plate. This work resulted in empirical models that can be used for predicting pipe vibration levels, the point of cavitation inception, and the streamwise distance where the attenuation of vibration levels caused by a baffle plate occurs.

This diploma thesis deals with submergence of low rectangular sharp-edged broad-crested weirs. From measurement of water levels in front of and behind of weir at different discharges and different weir heights, were determined values of submergence coefficient depending on relative height of submergence. From these values were determined the equation of submergence coefficient. Measured values were compared which results measurements, which are given in professional literature.

Tyrolean type water-intake structures are commonly used on mountain rivers to supply water to hydropower stations. The amount of water to be diverted from the main channel is the major concern in these kind of structures and should not be less than the design discharge. In this study a physical model of a Tyrolean type water-intake structure was built at the laboratory and the diverted flow from the main channel through the intake structure having steel racks and perforated plates of different types were measured. The experiments were conducted in two stages. In the first stage the tests were carried out with only steel racks having three different bar openings and slopes, and in the second stage, perforated screens of three different circular openings and screen slopes were used. Applying dimensional analysis to the related parameters of the system the dimensionless terms were defined for the water capture efficiency and discharge coefficient of the system, and their variations with the relevant parameters were plotted. Using these diagrams one can determine the amount of water to be diverted by a Tyrolean weir of known geometry and main channel discharge.

In the last decades, the focus of internal combustion engine development has moved towards more efficient and less pollutant engines. In a Diesel engine, approximately 30-40% of the energy provided by combustion is lost through the exhaust gases. The exhaust gases are hot and therefore rich of energy. Some of this energy can be recovered by recycling the exhaust gases into turbocharger. However, the energy losses in the exhaust port are highly undesired and the mechanisms driving the total pressure losses in the exhaust manifold not fully understood. Moreover, the efficiency of the turbine is highly dependent on the upstream flow conditions. Thus, a numerical study of the flow in the exhaust port geometry of a Scania heavy-duty Diesel engine is carried out mainly by using the Large Eddy Simulation (LES) approach. The purpose is to characterize the flow in the exhaust port, analyze and identify the sources of the total pressure losses. Unsteady Reynolds Averaged Navier-Stokes (URANS) simulation results are included for comparison purposes. The calculations are performed with fixed valve and stationary boundary conditions for which experimental data are available. The simulations include a verification study of the solver using different grid resolutions and different valve lift states. The calculated numerical data are compared to existent measured pressure loss data. The results show that even global parameters like total pressure losses are predicted better by LES than by URANS. The complex three-dimensional flow structures generated in the flow field are qualitatively assessed through visualization and analyzed by statistical means. The near valve region is a major source of losses. Due to the presence of the valve, an annular, jet-like flow structure is formed where the high-velocity flow follows the valve stem into the port. Flow separation occurs immediately downstream of the valve seat on the walls of the port and also on the surface of the valve body. Strong longitudinal, non-stationary secondary flow structures (i.e. in the plane normal to the main flow direction) are observed in the exhaust manifold. Such structures can degrade the efficiency of a possible turbine of a turbocharger located downstream on the exhaust manifold. The effect of the valve and piston motion has also been studied by the Large Eddy Simulation (LES) approach. Within the exhaust process, the valves open while the piston continues moving in the combustion chamber. This process is often analyzed modeling the piston and valves at fixed locations, but conserving the total mass flow. Using advanced methods, this process can be simulated numerically in a more accurate manner. Based on LES data, the discharge coefficients are calculated following the strict definition. The results show that the discharge coefficient can be overestimated (about 20 %) when using simplified experiments, e. g. flow bench. Simple cases using fixed positions for valve and piston are contrasted with cases which consider the motion of piston and/or valves. The overall flow characteristics are compared within the cases. The comparison shows it is impossible to rebuild the dynamic flow field with the simplification with fixed valves. It is better to employ LES to simulate the dynamic flow and associated losses with valve and piston motion.

QC 20131204

This thesis deals with the influence of the wall roughness on discharge coefficient of sharp-edged circular bottom orifice. It supposed to verify, summarize and extend knowledge of orifice discharge. Author of this thesis determine a discharge coefficient by measurement. Values of discharge coefficient were measured for roughness of the wall represented by different diameters of grains and these values were compared with available values published in specialized bibliography by different scientists. At the thesis end was made a summary evaluation.

The diploma thesis deals with the propagation of a weir (channel) width on the weir capacity. The influence rate is analyzed by laboratory measurements on models with a weir (channel) width of 0,02 m to a width of 0,50 m. Different heads are analyzed and different discharges that calculate the discharge coefficient. The results are compared with previous works, especially with the work of Kindsvater and Carter (1957) and of Schoder and Turner (1929), where the same procedures are used to calculate discharge coefficients. The thesis contains a theoretical introduction to the problem of thin-plate weirs and the problem of the formation of the boundary layer in the flow of liquid, following with the analytical part. In the analytical part, the results of measurements, their comparison, and evaluation are published. The work is completed with evaluation and recommendations.

L'objectif de cette thèse est de caractériser l'influence de la présence d'obstacles dans les passes à poissons à fentes verticales. Deux types d'éléments sont couramment insérés, à l'heure actuelle, dans les passes : les seuils et les macro-rugosités. Dans un premier temps, l'effet de ces deux dispositifs à la fois sur l'écoulement et sur le comportement des poissons est étudié. Dans le but de favoriser le passage des petites espèces à travers le dispositif de franchissement, une solution technique est ensuite proposée, sous la forme de plusieurs rangées de cylindres flexibles placées en sortie de fente. La caractérisation du comportement hydraulique d'une passe à poissons équipée de ces obstacles est effectuée par des mesures expérimentales de niveau d'eau à l'aide de sondes acoustiques et des mesures de vitesses tridimensionnelles avec un vélocimètre acoustique à effet Doppler (ADV). La base de données générée par ces mesures est ensuite utilisée pour définir une loi de dimensionnement, qui prend en compte les paramètres influençant le fonctionnement hydraulique de l'ouvrage en vue d'améliorer sa conception. Les simulations numériques 3D instationnaires URANS et LES de l'écoulement permettent une analyse volumique fine des grandeurs caractéristiques de la turbulence qui règne dans les bassins en fonction du type d'obstacle inséré. En obstruant une partie de la fente, la présence d'un seuil accentue la tridimensionnalité de l'écoulement tandis que les macro-rugosités créent une zone de plus faible vitesses et des abris utilisables par les espèces de fonds. L'insertion des structures souples permet une meilleure dissipation de l'énergie du jet et réduit l'énergie cinétique turbulente dans une partie du volume des bassins. Les manipulations réalisées avec différentes espèces de poissons, permettent de mieux comprendre l'effet de la modification des grandeurs cinématiques de l'écoulement, par l'insertion d'obstacles, sur le comportement des poissons pour pouvoir adapter les passes à poissons existantes aux espèces dotées de faibles capacités de nage
The aim of this work is to characterize the influence of two kinds of obstacles, sills and macro-roughnesses, on the flow inside a vertical slot fishway (VSF) and the behavior of several species of fish. Another objective is to study a technical solution to allow the passage of small fish species, which take the form of flexible cylinders placed in the jet at the entrance of each pool of the VSF. A hydraulic characterization is made by experimental measurements of the water level in each pool with acoustic sensors and by measurements of three-dimensional velocity components with an acoustic Doppler velocimeter (ADV). The data acquired by these measurements are then used to define a predictive law that takes into account the presence of sills or macro-roughnesses, to help the design of devices that are as efficient as possible. Unsteady RANS and LES three-dimensional numerical simulations of the flow allow performing a careful volume analysis of the turbulence characteristics inside the pools when obstacles are presents in the flow. By obstructing a part of the slot, sills enhance the three-dimensionality of the flow while macro-roughnesses generate a low velocity layer and shelters for benthic species. Flexible elements produce a better dissipation of the energy of the jet and reduce the turbulent kinetic energy in a part of the volume of the pools. The effect of the modification of the flow kinematic properties, by the presence of obstacles, on the behavior of various fish species is evaluated. It provides important insights on how to adapt the flow in existing fishways to fish species with low swimming capacity

This diploma thesis is focused on determination of plan situating influence of weir discharging capacity. The part of this work is a summary of the information about weirs, principally about determination of discharging capacity on normal weirs, plan deflected and plan radius weirs. Executed model research, which deals with determination of plan situating influence on discharging capacity plan deflected and plan radius weirs in comparison to normal weir, is evaluated in another part of this work. The research is also dealing with influence of aeration of the space under down surface of free jet and influence of downstream water level on discharging capacity. This work compares the results of executed research with available knowledge of other authors, who have dealt with determination of discharging capacity on weirs with different plan situating.

碩士
逢甲大學
機械工程學所
92
ABSTRACT The orifice structure is commonly used in fluid machinery components to control flow. The discharge coefficient, Cd, of orifice plays a major role in the design of many flow control devices. However, for different design parameters, Cd varies significantly and can result in substantial error if assumed constant. Moreover, as flow rate increases, strong cavitation could be induced near to the orifice. Cavitation can be a serious problem in flow control devices and deserves special attention. The objective of this research is to investigate the effects of some relative design parameters on the discharge coefficient and on the cavitation phenomenon of orifice structures by using the FLUENT software. The Reynolds numbers, pipe to orifice diameter ratios, orifice length to diameter ratios, and orifice configurations are investigated in this study. It is observed that the discharge coefficient increases when cavitation occurs in sharp or short orifices, and the incipient cavitation number decreases as the orifice length to diameter ratio decreases. However, the phenomena are opposite in long orifices. For the orifices with downstream bevel, cavitation has no obvious effect on the discharge coefficient. The flow behavior for the orifice with 30o bevel is different with other configurations and deserves further investigation. Keywords: Orifice, Cavitation, Discharge Coefficient, Numerical Simulation

The labyrinth seal is a non-contact annular type sealing device used to reduce the internal leakage of the working fluid which is caused by the pressure difference between each stage in a turbomachine. Reducing the leakage mass flow rate of the working fluid through the labyrinth seal is desirable because it improves the efficiency of the turbomachine. The carry-over coefficient, based on the divergence angle of the jet, changed with flow parameters with fixed seal geometry while earlier models expressed the carry-over coefficient solely as a function of seal geometry. For both compressible and incompressible flows, the Reynolds number based on clearance was the only flow parameter which could influence the carry-over coefficient. In the case of incompressible flow based on the simulations for various seal geometries and operating conditions, for a given Reynolds number, the carry-over coefficient strongly depended on radial clearance to tooth width ratio. Moreover, in general, the lower the Reynolds number, the larger is the divergence angle of the jet and this results in a smaller carry-over coefficient at lower Reynolds numbers. However, during transition from laminar to turbulent, the carry-over coefficient reduced initially and once the Reynolds number attained a critical value, the carry-over coefficient increased again. In the case of compressible flow, the carry-over coefficient had been slightly increased if radial clearance to tooth width ratio and radial clearance to tooth pitch ratio were increased. Further, the carry-over coefficient did not considerably change if only radial clearance to tooth width ratio was decreased. The discharge coefficient for compressible and incompressible flows depended only on the Reynolds number based on clearance. The discharge coefficient of the tooth in a single cavity labyrinth seal was equivalent to that in a multiple tooth labyrinth seal indicating that flow downstream had negligible effect on the discharge coefficient. In particular, for compressible fluid under certain flow and seal geometric conditions, the discharge coefficient did not increase with an increase in the Reynolds number. It was correlated to the pressure ratio, Pr. Moreover, it was also related to the fact that the flow of the fluid through the constriction became compressible and the flow eventually became choked. At low pressure ratios (less than 0.7), Saikishan’s incompressible model deviated from CFD simulation results. Hence, the effects of compressibility became significant and both the carry-over coefficient compressibility factor and the discharge coefficient compressibility factor needed to be considered and included into the leakage model. The carry-over coefficient compressibility factor, phi, had two linear relationships with positive and negative slopes regarding the pressure ratios. This result was not associated with the seal geometry because the seal geometry ratios for each instance were located within the nearly same ranges. Further, the phi-Pr relationship was independent of the number of teeth regardless of single and multiple cavity labyrinth seals. The discharge coefficient compressibility factor, psi, was a linear relationship with pressure ratios across the tooth as Saikishan predicted. However, in certain flow and seal geometric conditions, Saikishan’s model needed to be modified for the deviation appearing when the pressure ratios were decreased. Hence, a modified psi-Pr relationship including Saikishan’s model was presented in order to compensate for the deviation between the simulations and his model.

[ES] A pesar de la importancia de las turbinas radiales de doble entrada y doble voluta en el flujo para motores turboalimentados, sus mapas característicos y su modelado totalmente predictivo utilizando códigos dinámicos de gas 1D aún no están bien establecidos. La complejidad del flujo no estacionario y la admisión desigual de estas turbinas, cuando funcionan con pulsos de gases de escape del motor, las convierte en un sistema desafiante. Principalmente debido a la admisión de flujo desigual, se introduce un grado adicional de libertad con respecto a las turbinas conocidas como de una sola entrada con o sin álabes en el estator. Además, la adición de la segunda entrada a la voluta de la turbina aporta una complejidad adicional para determinar los parámetros de rendimiento de la turbina en estacionario estable y en condiciones de admisión desiguales.Esta tesis tiene como novedad principal un procedimiento simple para caracterizar experimentalmente y elaborar mapas característicos de estas turbinas con condiciones de flujo desiguales. Este método de análisis permite interpolar fácilmente dentro de los mapas distintivos propuestos o ajustar modelos simples y convincentes para calcular y extrapolar parámetros de rendimiento completo de turbinas de doble entrada y doble voluta. También hemos descrito aquí, dos modelos innovadores de línea media 0D que requieren una cantidad mínima de datos experimentales para calibrar ambos: es decir, el modelo de parámetros de flujo másico y el modelo de eficiencia isentrópica. Ambos modelos son predictivos en condiciones de admisión de flujo parcial o desigual utilizando como entradas: la relación de flujo másico entre ramas; la relación de temperatura total entre ramas; la relación de velocidad de álabe a chorro en cada rama y la relación de presión en cada rama. Estas cinco entradas generalmente son proporcionadas instantáneamente por códigos de dinámica de gas 1D. Por lo tanto, la novedad del modelo es su capacidad de ser utilizado de manera casi constante para la predicción del rendimiento de las turbinas de doble entrada y de doble voluta. Esto se puede lograr instantáneamente ya que las turbinas se calculan en condiciones de flujo pulsante y desigual en motores turbo alimentados. Además, se muestra una metodología para caracterizar el coeficiente de descarga de una válvula de alivio de presión. Para estimar el flujo de gas por la válvula de alivio en modelos unidimensionales, se correlaciona y valida un modelo empírico. Finalmente, se ha elaborado un mapa óptimo del coeficiente de descarga a través del método de interpolación, que puede integrarse en el sistema de modelo de motor turboalimentado completo unidimensional, para calcular el flujo másico real a través de la válvula de descarga y las válvulas de conexión de desplazamiento. Finalmente, los modelos han sido completamente validados al acoplarlos con un software de modelado unidimensional que simula tanto el banco de gas como el motor completo. Por un lado, los resultados de las validaciones del banco de gas muestran que el modelo puede predecir bien todas las variables de flujo estacionario. Por otro lado, los resultados de la validación de todo el motor muestran que el modelo es capaz de producir todas las variables del motor a plena carga como el flujo de masa de aire y el par de frenado con un buen grado de acuerdo con los datos experimentales.
[EN] Despite the importance of radial in-flow twin-entry and dual-volute turbines for turbocharged engines, their characteristic maps and fully predictive modelling using 1D gas dynamic codes are not well established yet. The complexity of the un-steady flow and the unequal admission of these turbines, when operating with pulses of engine exhaust gas, make them a challenging system. Mainly due to the unequal flow admission, an additional degree of freedom is introduced to well-known single entry vanned or vaneless turbines. Moreover, the addition of the second inlet to the turbine volute brings extra complexity in determining the steady-state turbine performance parameters under unequal admission conditions. This thesis has a main novelty, which is a simple procedure for characterizing experimentally and elaborating characteristic maps of these turbines with unequal flow conditions. This method of analysis allows easy interpolating within the proposed distinctive maps or simple convincing models for calculating and extrapolating full performance parameters of twin-entry and dual-volute turbines. Here are also described two innovative 0D mean-line models that require a minimum quantity of experimental data for calibrating both: i.e. the mass flow parameter model and the isentropic efficiency model. Both models are predictive either in partial or unequal flow admission conditions using as inputs: the mass flow ratio and the total temperature ratio between the branches; the blade speed ratio and expansion ratio in each branch. These six inputs are generally instantaneously provided by 1D gas-dynamics codes.} Therefore, the novelty of the model is its ability to be used in a quasi-steady way for twin and dual-volute turbines performance prediction. This can be achieved instantaneously as turbines are calculated under pulsating and uneven flow conditions at turbocharged engines. Furthermore, a methodology for characterizing the discharge coefficient of a wastegate and scroll connection valve in a gas stand is shown. For estimating the gas flow over the same in one-dimensional models, an empirical model is correlated and validated. Finally, an optimal map of discharge coefficient has been drawn out through the interpolation method. This map can be integrated into the full one-dimensional turbocharged engine model system, in order to calculate the actual mass flow through the wastegate and scroll connection valves. Finally, the models have been fully validated by coupling them with one-dimensional modelling software and simulated both the gas stand and the whole engine measured points. On the one hand, the validation results from the gas stand simulation show that the model can predict well all steady flow variables. On the other hand, the validation results from the whole engine simulation show that the model is able to produce all the full load engine variables like air mass flow and brake torque in a reasonable degree of agreement with the experimental data.
[CA] Malgrat la importància de les turbines radials amb doble entrada i de doble voluta per als motors turboalimentats, els seus mapes característics i el seu model completament predictiu mitjançant codis dinàmics de gas 1D encara no estan ben establerts. La complexitat del flux constant i l'admissió desigual d'aquestes turbines, quan funcionen amb polsos de gas d'escapament del motor, les converteixen en un sistema difícil. Principalment a causa de la admissió de flux desigual, s'introdueix un grau addicional de llibertat a les conegudes turbines vendes o d'entrada d'una sola entrada. A més, l'addició de la segona entrada a la voluta de la turbina aporta una complexitat addicional per determinar els paràmetres de rendiment de la turbina en estat estacionari en condicions d'admissió desigual. Aquesta tesi té com a novetat principal un procediment senzill per caracteritzar experimentalment i elaborar mapes característics d'aquestes turbines amb condicions de cabal desigual. Aquest mètode d'anàlisi permet interpolar fàcilment dins dels mapes distintius proposats o models senzills convincents per calcular i extrapolar paràmetres de rendiment complet de les turbines d'entrada doble i de doble voluta. Aquí també hem descrit dos models innovadors de línia mitjana 0D que requereixen una quantitat mínima de dades experimentals per calibrar tots dos: és a dir, el model de paràmetre de flux massiu i el model d'eficiència isentròpica. Els dos models són predictius en condicions d'admissió de flux parcial o desigual utilitzant com a entrada: la proporció de flux entre les branques; la relació total de la temperatura entre les branques; la relació velocitat fulla-raig a cada branca i la proporció de pressió a cada branca. Aquests cinc inputs generalment es proporcionen de manera instantània mitjançant codis de dinàmica de gas 1D. Per tant, la novetat del model és la seva capacitat d'utilitzar-se d'una manera quasi constant per a la predicció del rendiment de les turbines bessones i de doble voluta. Es pot aconseguir de forma instantània, ja que les turbines es calculen en condicions de flux pulsatòries i desiguals en motors turboalimentats. A més, es mostra una metodologia per a caracteritzar el coeficient de descàrrega d'una vàlvula de connexió per canals i desplaçaments en un suport de gas. Per estimar el flux de gas sobre el mateix en models unidimensionals, es correlaciona i valida un model empíric. Finalment, s'ha elaborat un mapa òptim de coeficient de descàrrega mitjançant el mètode d'interpolació, que pot integrar-se al sistema de model turboalimentat complet del motor turbo, per calcular el cabal de massa real a través de les vàlvules de connexió de desguàs i desplaçament. Finalment, els models s'han validat completament combinant-los amb un programari de modelatge unidimensional que simula tant el suport de gas com el motor sencer. D'una banda, els resultats de les validacions de l'estand de gas demostren que el model és capaç de predir bé totes les variables de flux constant. D'altra banda, els resultats de validació del motor complet demostren que el model és capaç de produir totes les variables del motor de càrrega completa, com ara el flux de massa d'aire i el pare de fre d'una bona manera amb les dades experimentals.
Samala, V. (2020). Experimental characterization and mean line modelling of twin-entry and dual-volute turbines working under different admission conditions with steady flow [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/153475
TESIS