Lumped Parameter Model for Dynamic Performances of Plate-Fin Recuperator

Author(s):  
Ming Ding ◽  
Jie Wang ◽  
Xiaoyong Yang ◽  
Lei Shi ◽  
Qingshan Su

A lumped parameter model was developed to study dynamic performances of plate-fin recuperator in high temperature gas-cooled reactor with direct helium turbine cycle (HTGR-GT). For the core heat capacitance of recuperator was far larger than heat capacitance and thermal flow rate of helium, it was reasonable to ignore the influence of heat capacitance of fluid on dynamic characteristics of recuperator and develop the lumped parameter model with infinite core heat capacitance. The model was solved by four-order Rounge-Kutta method, considering the influence of temperature on helium thermal properties. Based on the lump parameter model, transient response of outlet temperatures of recuperator was analyzed when step and ramp changes of inlet temperatures of recuperator took place in hot side, as well as mass flow rate of recuperator. Transient responses of the core temperature and outlet temperatures of helium were also analyzed while power was regulated in course of normal operation and total electric load was rejected from full power.

Author(s):  
Corine Meuleman ◽  
Frank Willems ◽  
Rick de Lange ◽  
Bram de Jager

Surge is measured in a low-speed radial compressor with a vaned diffuser. For this system, the flow coefficient at surge is determined. This coefficient is a measure for the inducer inlet flow angle and is found to increase with increasing rotational speed. Moreover, the frequency and amplitude of the pressure oscillations during fully-developed surge are compared with results obtained with the Greitzer lumped parameter model. The measured surge frequency increases when the compressor mass flow is throttled to a smaller flow rate. Simulations show that the Greitzer model describes this relation reasonably well except for low rotational speeds. The predicted amplitude of the pressure rise oscillations is approximately two times too small when deep surge is met in the simulations. For classic surge, the agreement is worse. The amplitude is found to depend strongly on the shape of the compressor and throttle characteristic, which are not accurately known.


1982 ◽  
Vol 22 (03) ◽  
pp. 382-398 ◽  
Author(s):  
William H. Engelmann ◽  
P.E. Phillips ◽  
Daryl R. Tweeton ◽  
Kent W. Loest ◽  
Michael T. Nigbor

Abstract Sandstone formations contain a variety of minerals including carbonates, clays, feldspars, quartz, and, in some cases, valuable compounds of uranium, vanadium, and copper. When a reactive fluid such as acid is injected into these porous rocks to dissolve the minerals, their dissolution rates are different because of differences instructure and chemical composition. Consequently multiple reaction zones develop as a reactive fluid flows through the rock. This study, describing the movement of these reaction zones during sandstone matrix acidizing, also has application in hydrometallurgy and in-situacid leaching of minerals. Laboratory tests to predict the effects of acid injection usually are carried out by flowing acid through a coresample while permeability and fluid effluent concentration are monitored. If the minerals in a particular sample dissolve at approximately the same rate, a lumped parameter model satisfactorily describes the movement of a single reaction zone through the core. However, for the case of high temperatures, long cores, or long injection times, this model does not predict the effluent acid concentration correctly, and a distributed parameter model including the movement of multiple reaction zones is required. This paper describes the development of such a model and its verification by core flowexperiments. The study shows that when various minerals including quartz are being dissolved during matrix acidizing, larger acid volumes are required than predicted byprevious models. Introduction The dissolution of clays, feldspars, and other minerals ina sandstone can be achieved by the injection of mixtures of hydrochloric and hydrofluoric acid. Because of differences in chemical composition and structure, the acid dissolution rates of these minerals are different. As aresult, multiple reaction zones are developed as the acid flows through the porous sandstone. An earlier investigation demonstrated that if we assume that quartz dissolves so slowly in hydrochloric/hydrofluoric acid (mud acid) as to be considered unreactive and if the other minerals dissolve atapproximately the same rate, a lumped parameter model satisfactorily describes the movement of a single reaction front or zone. In this model, reactive minerals such as various clays and feldspars are lumped together and treated as a single dissolvable species. Carbonates are assumed dissolved in hydrochloric acid and are not involved in the hydrofluoric acid reaction. For high temperatures, long injection times, and long sandstone penetration distances (as in long test cores), this lumped parameter model does not predict correctly the changing acid concentration and the movement of multiple reactionzones during acid injection. A distributed parametermodel is necessary to describe the acid stimulation of sandstones when the difference in acid dissolution of the various minerals is taken into account. This paperdescribes the development of such a model. In addition, it shows how this model, coupled with the analysis of laboratory core flood experiments, predicts the radial movement of reaction zones and corresponding changesin the permeability during acid stimulation. Acidizing Linear Sandstone Cores Evaluation of the DissolutionParameters From Effluent Data Sandstone stimulation studies in the laboratory generallyare carried out by flowing hydrochloric/hydrofluoricacid mixtures at constant rate through cylindrical coresamples and monitoring the permeability changes and the effluent acid concentration. The lumped parameter model was developed to describe the movement of the acid reaction front through the core. SPEJ P. 99^


2013 ◽  
Vol 305 (12) ◽  
pp. H1709-H1717 ◽  
Author(s):  
Samira Jamalian ◽  
Christopher D. Bertram ◽  
William J. Richardson ◽  
James E. Moore

Any disruption of the lymphatic system due to trauma or injury can lead to edema. There is no effective cure for lymphedema, partly because predictive knowledge of lymphatic system reactions to interventions is lacking. A well-developed model of the system could greatly improve our understanding of its function. Lymphangions, defined as the vessel segment between two valves, are the individual pumping units. Based on our previous lumped-parameter model of a chain of lymphangions, this study aimed to identify the parameters that affect the system output the most using a sensitivity analysis. The system was highly sensitive to minimum valve resistance, such that variations in this parameter caused an order-of-magnitude change in time-average flow rate for certain values of imposed pressure difference. Average flow rate doubled when contraction frequency was increased within its physiological range. Optimum lymphangion length was found to be some 13–14.5 diameters. A peak of time-average flow rate occurred when transmural pressure was such that the pressure-diameter loop for active contractions was centered near maximum passive vessel compliance. Increasing the number of lymphangions in the chain improved the pumping in the presence of larger adverse pressure differences. For a given pressure difference, the optimal number of lymphangions increased with the total vessel length. These results indicate that further experiments to estimate valve resistance more accurately are necessary. The existence of an optimal value of transmural pressure may provide additional guidelines for increasing pumping in areas affected by edema.


Energies ◽  
2021 ◽  
Vol 14 (20) ◽  
pp. 6534
Author(s):  
Jaimis S. L. Colqui ◽  
Anderson R. J. de Araújo ◽  
Sérgio Kurokawa ◽  
José Pissolato Filho

The Lumped Parameter Model (LPM) is a known approach to represent overhead transmission lines (TLs), especially when these elements comprehend a few tens of kilometers. LPMs employ a large number of cascaded π-circuits to compute accurately the transient responses. These responses contain numerical spurious oscillations (NSO) characterized by erroneous peaks which distort the transient responses, mainly their peak values. Two modified LPM topologies composed of damping resistances inserted along the longitudinal or transversal branches of the cascaded π-circuits offer significant mitigations in the NSO. In this paper, in an effort to have the maximum mitigation of the NSO and low distortion in the transient responses, two modified topologies with optimized damping resistances are proposed to represent short TLs. Results demonstrate expressive attenuation in the peaks of NSO which reflect good agreement in comparison with the responses computed by the Bergeron’s line model. The mitigation of the NSO is carried out directly in the time domain and it does not require either analog or digital filters.Furthermore, no frequency-to-time transformations are necessary in this procedure. These alternative topologies can be incorporated into any electromagnetic transient program to study switching operations in power systems.


2020 ◽  
Vol 85 (5) ◽  
pp. 703-723
Author(s):  
J G Williams ◽  
L Rouse ◽  
B W Turney ◽  
S L Waters ◽  
D E Moulton

Abstract In this paper, we consider a lumped-parameter model to predict renal pressures and flow rate during a minimally invasive surgery for kidney stone removal, ureterorenoscopy. A ureteroscope is an endoscope designed to work within the ureter and the kidney and consists of a long shaft containing a narrow, cylindrical pipe, called the working channel. Fluid flows through the working channel into the kidney. A second pipe, the ‘access sheath’, surrounds the shaft of the scope, allowing fluid to flow back out of the urinary system. We modify and extend a previously developed model ( Oratis et al., 2018) through the use of an exponential, instead of linear, constitutive law for kidney compliance and by exploring the effects of variable flow resistance, dependent on the presence of auxiliary ‘working tools’ in the working channel and the cross-sectional shapes of the tools, working channel, scope shaft and access sheath. We motivate the chosen function for kidney compliance and validate the model predictions, with ex vivo experimental data. Although the predicted and measured flow rates agree, we find some disagreement between theory and experiment for kidney pressure. We hypothesize that this is caused by spatial pressure variation in the renal pelvis, i.e. unaccounted for in the lumped-parameter model. We support this hypothesis through numerical simulations of the steady Navier–Stokes equations in a simplified geometry. We also determine the optimal cross-sectional shapes for the scope and access sheath (for fixed areas) to minimize kidney pressure and maximize flow rate.


2021 ◽  
Vol 312 ◽  
pp. 05005
Author(s):  
Barbara Zardin ◽  
Giovanni Cillo ◽  
Marco Rizzoli ◽  
Massimo Borghi

In this paper, the authors present a 0D fluid dynamic model of a vane pump used to refill tanks with fuel. The model is entirely developed in OpenModelica environment, where the authors have created specific libraries of elements suitable for the physical modelling of fluid power components and systems. Among the different approaches, the zero-dimension (0D) fluid-dynamic modelling of positive displacement machines is suitable to study many aspects as: the instantaneous flow rate, pressure and torque transients, the fluid borne noise related to the flow rate and pressure irregularity, the dynamic behaviour of the variable displacement control. Overall, this approach in modelling allows to link the geometrical features of the machine with its dynamic behaviour and for this reason is particularly useful in guiding the design. The model of the vane pump is described together with the main design features that can be analysed in terms of their influence on the pump behaviour. Besides the specific results obtained regarding the design of the pump, the paper also demonstrates the use of OpenModelica language and environment, and its efficacy, into the applications of fluid power modelling and simulation.


2013 ◽  
Vol 535-536 ◽  
pp. 8-11
Author(s):  
Vikram Deshpande ◽  
Tao Liu

The response of back-supported buffer plates comprising a solid face sheet and foam core backing impacted by a column of high velocity particles (sand slug) is investigated via a lumped parameter model and coupled discrete/continuum simulations. The numerical calculations show that the momentum transfer is minimised for intermediate values of the core strength when the so-called “soft-catch” mechanism is at play. In this regime the bounce-back of the sand slug is minimised which reduces the momentum transfer. The results demonstrate that appropriately designed buffer plates have potential as impulse mitigators in landmine loading situations


2016 ◽  
Vol 139 (1) ◽  
Author(s):  
Ruo-Qian Wang ◽  
Teresa Lin ◽  
Pulkit Shamshery ◽  
Amos G. Winter

This paper proposes a new Starling resistor architecture to control flow limitation in flexible tubes by introducing a needle valve to restrict inlet flow. The new architecture is able to separately control the activation pressure and the flow rate: The tube geometry determines the activation pressure and the needle valve determines the flow rate. A series of experiments were performed to quantify the needle valve and the tube geometry's effect on flow limitation. The examined factors include the inner diameter, the length, and the wall thickness. A lumped-parameter model was developed to capture the magnitude and trend of the flow limitation, which was able to satisfactorily predict Starling resistor behavior observed in our experiments.


Author(s):  
M. Cao ◽  
K. W. Wang ◽  
L. DeVries ◽  
Y. Fujii ◽  
W. E. Tobler ◽  
...  

This paper describes empirical investigations of the fluid field for a spool-type hydraulic valve with symmetrically distributed circular ports that is often found in an automotive VFS (Variable Force Solenoid) valve system. Through extensive data analysis, a general trend of fluid force and flow rate is derived as a function of pressure drop and valve opening. Aiming at further revealing the insights of the steady state spool valve fluid field, the equivalent jet angle and discharge coefficient are calculated from the measurements based on the lumped parameter models. New Non-Dimensional Artificial Neural Network (NDANN)-based hydraulic valve system models are also developed in this paper through the use of equivalent jet angle and discharge coefficient. By introducing the outputs of the new NDANN models into the lumped parameter model, fluid force and flow rate can be easily calculated. Therefore, the new approach calculates fluid force and flow rate as well as the intermediate variables (equivalent jet angle and discharge coefficient) with useful design implications. The network training and testing demonstrate that the NDANN fluid field estimators can accurately capture the relationship between the key geometry parameters and discharge coefficient/jet angle. The new approach also maintains the non-dimensional network configuration and possesses scalability with respect to the geometry parameters and key operating conditions. All these features make the new NDANN fluid field estimator a valuable tool for automotive hydraulic system design.


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