Determination of the Fluid-Elastic Stability Threshold in the Presence of Turbulence: A Theoretical Study

1989 ◽  
Vol 111 (4) ◽  
pp. 407-419 ◽  
Author(s):  
J. H. Lever ◽  
G. Rzentkowski

A model has been developed to examine the effect of the superposition of turbulent buffeting and fluid-elastic excitation on the response of a single flexible tube in an array exposed to cross-flow. The modeled response curves for a 1.375-pitch ratio parallel triangular array are compared with corresponding experimental data for the same array; reasonably good qualitative agreement is seen. Turbulence is shown to have a significant effect on the determination of the stability threshold for the array, with increasing turbulent buffeting causing a reduction in the apparent critical velocity. The dependence of turbulence response on mass ratio is also found to yield a slight independence between mass and damping parameters on stability threshold estimates, which may account for similar experimental findings. Different stability criteria are compared, and an attempt is made to provide some guidance in the interpretation of response curves from actual tests.

1982 ◽  
Vol 104 (3) ◽  
pp. 139-146 ◽  
Author(s):  
D. S. Weaver ◽  
D. Koroyannakis

A water tunnel study was conducted on a parallel triangular array of tubes with a pitch ratio of 1.375. The array was geometrically identical to that used previously in a wind tunnel study so that the tube response to cross flow could be compared. It was seen that the response curves for tube arrays in water are much less regular than those in air, creating ambiguity in defining the stability threshold. The irregularities are seen to be associated with shifts in relative tube mode and frequency. Arrays in water apparently first become unstable in one of the lowest frequencies of the band of frequencies associated with a given structural mode. The added mass coefficient computed from the observed frequency at instability is a little larger than the largest added mass coefficient obtained from existing theory for tube arrays in quiescent fluid.


1989 ◽  
Vol 111 (4) ◽  
pp. 457-465
Author(s):  
J. H. Lever ◽  
G. Rzentkowski

In the experimental determination of fluid-elastic stability thresholds in tube arrays, the critical flow velocity is normally approached from below. Once large amplitude whirling motions are initiated, however, the system often does not retrace the response curve as flow velocity is reduced. This hysteresis behavior has been the subject of a recent investigation utilizing a newly constructed wind tunnel facility at Memorial University. The post-stable response of a 1.375-pitch ratio parallel triangular array was first generated under steady flow conditions, with positive velocity increments to just beyond the threshold, then velocity reductions in steps back to stable amplitude levels. It was found that an array with 7 central flexible tubes displayed a fairly broad hysteresis loop, while the same array with only a single flexible tube displayed no hysteresis. The transition from steady stable response levels to steady unstable response levels was then investigated using two types of transient excitation: tube displacement and flow velocity. The effect of increasing tube damping was also investigated.


2020 ◽  
Vol 231 (12) ◽  
pp. 5007-5020 ◽  
Author(s):  
Mohammad Malikan ◽  
Victor A. Eremeyev ◽  
Hamid M. Sedighi

Abstract On the basis of a theoretical study, this research incorporates an eccentricity into a system of compressed double-walled carbon nanotubes (DWCNTs). In order to formulate the stability equations, a kinematic displacement with reference to the classical beam hypothesis is utilized. Furthermore, the influence of nanoscale size is taken into account with regard to the nonlocal approach of strain gradient, and the van der Waals interaction for both inner and outer tubes is also considered based on the Lennard–Jones model. Galerkin decomposition is employed to numerically deal with the governing equations. It is evidently demonstrated that the geometrical eccentricity remarkably affects the stability threshold and its impact is to increase the static stability of DWCNTs.


Author(s):  
Н.Ш. КАЙШЕВА ◽  
А.Ш. КАЙШЕВ ◽  
Л.Б. ГУБАНОВА ◽  
А.Б. САМОРЯДОВА

Исследована возможность применения очищенных пектинов для стабилизации аскорбиновой кислоты (АК) в фреш-соках с концентрацией 10–6–10–4г/мл. В работе использованы: АК, щавелевая кислота (ЩК), свекловичный (СП), цитрусовый (ЦП) и яблочный (ЯП) пектины с высокой молярной массой 61000–87500 г/моль и степенью этерификации 46,5–76,3%, предназначенные для фармацевтического применения. Фреш-соки получены посредством отжима ягод, плодов и овощей (18 видов). Установлено отсутствие мешающего влияния пектинов на определение АК методом дифференциальной спектроскопии в УФ-области – характеристический максимум поглощения АК 264 нм. По серии растворов АК (0,25–1,25) · 10–3% определен удельный показатель поглощения АК 727, в соответствии с которым оценено содержание АК в модельных растворах со вспомогательными веществами при хранении. Устойчивость АК составляет, сут: в присутствии ЩК 5, СП 4, ЦП 6, ЯП 10. Установлено оптимальное массовое соотношение АК : ЯП как 1 : 16, что использовано для купажирования фреш-соков, в которых предварительно определена концентрация АК 0,40–19,99 мг % методом титрования 2,6-дихлорфенолиндофенолятом натрия. Сравнительная оценка соков до и после купажирования ЯП при хранении (20°С, 10 сут) показала, что ЯП способствует смещению рН в оптимальную для АК область рН 4,5–8,0; увеличению вязкости соков на 5–148% и сроков хранения в 3,3–59 раз. Относительная погрешность различных определений (n = 5, P = 95%, t = 2,57) составила ± (0,7–5,6)%. Доказана возможность применения очищенного ЯП в качестве стабилизатора АК в фреш-соках с концентрацией АК 10–6–10–4 г/мл, что создает перспективы безопасного «продления жизни» соков. The possibility of using purified pectins to stabilize ascorbic acid (AA) in fresh juices with a concentration of 10–6–10–4g/ml was investigated. In the work were used: АA, oxalic acid (OA), beetroot, citrus and apple pectins (BP, CP and AP) with high molar mass (61000–87500 g/mol) and the degree of etherification (46,5–76,3%), intended for pharmaceutical use. Fresh juices were obtained by pressing berries, fruits and vegetables (18 kinds). Absence of interfering effect of pectins on the determination of AA by differential spectroscopy in the UV region (characteristic maximum absorption of AA – 264 nm) was established. According to the series of AA solutions (0,25–1,25) · 10–3%, the specific absorption rate of AA 727 was determined, according to which the content of AA in model solutions with auxiliary substances during storage was estimated. The stability of AA in the presence of OA is 5 days, BP – 4 days, CP – 6 days, AP – 10 days. The optimal mass ratio of AA : AP 1 : 16 was established, which was used for blending fresh juice, in which the concentration of AA (0,40–19,99 mg %) was previously determined by the method of titration with 2,6-dichlorphenolindophenol sodium. A comparative assessment of juices before and after blending during storage (20°C, 10 days) showed that AP contributes to the displacement of pH in the optimal for AA area of pH 4,5–8,0; increase in the viscosity of juices by 5–148% and shelf life of 3,3–59 times. The relative error of different definitions (n = 5, P = 95%, t = 2,57) was ± (0,7–5,6)%. Thus, the possibility of using purified AP as an AA stabilizer in fresh juices with the concentration of AA 10–6–10–4g/ml is proved, which creates prospects for safe prolonging the life of juices.


1988 ◽  
Vol 110 (2) ◽  
pp. 194-198 ◽  
Author(s):  
L. F. Waring ◽  
D. S. Weaver

An experimental study is reported of the effects of partial admission on the fluid elastic stability of a heat exchanger tube array. The array geometry was a parallel triangular configuration with a pitch ratio of 1.47. Tests were conducted in a wind tunnel with uniform flow over from 33 to 100 percent of single span tubes. In these experiments, the flow location was also varied from center-span to the end supports. Additionally, tests were conducted with uniform flow over one span of two and three-span tube arrays. These results are compared with theoretical predictions.


Author(s):  
C. Charreton ◽  
C. Béguin ◽  
R. Yu ◽  
S. Etienne

This paper deals with the numerical and experimental determination of stability derivative inside a parallel triangular tube bundle for pitch Reynolds number Rep ∈ [60 3.104]. The present work focuses on the derivative of the lift coefficient, in the direction transverse to the flow, of the central cylinder for Rep ∈ [60 1.2.103]. We consider a viscous and incompressible flow for both approaches. First, experiments were done in a loop containing an adjustable central cylinder set with strain gauges to indirectly measure the lift derivative, via the moment of lift. Reynolds number is controlled by using a few glycerin solutions with different viscosities. In parallel, same flow conditions were simulated within 2D simulations. Comparisons were performed between experimental and numerical results. A critical Reynolds was found where the stability derivative seems to cross zero. This fact raises a question about applicability of quasi-steady model for fluidelastic instability.


1983 ◽  
Vol 105 (1) ◽  
pp. 76-81 ◽  
Author(s):  
H. C. Yeung ◽  
D. S. Weaver

Water tunnel experiments were conducted on an equilateral triangular array of tubes with a pitch ratio of 1.5. Eight tests were run with different array orientations so that the effects of incident flow direction on crossflow induced vibrations could be studied. Small amplitude vorticity response was observed for all orientations except the parallel triangular array. A Strouhal number of 0.57 based on pitch velocity and independent of incident flow directions was found. The fluidelastic threshold for the normal triangular array was found to be about twice that of the parallel triangular array. However, the stability threshold for the normal triangular array was found to be quite sensitive to incident flow direction suggesting that advantage of this higher threshold should not be taken in the design of heat exchangers.


Author(s):  
Sunny Katyara ◽  
Lukasz Staszewski ◽  
Faheem Akhtar Chachar

Background: Since the distribution networks are passive until Distributed Generation (DG) is not being installed into them, the stability issues occur in the distribution system after the integration of DG. Methods: In order to assure the simplicity during the calculations, many approximations have been proposed for finding the system’s parameters i.e. Voltage, active and reactive powers and load angle, more efficiently and accurately. This research presents an algorithm for finding the Norton’s equivalent model of distribution system with DG, considering from receiving end. Norton’s model of distribution system can be determined either from its complete configuration or through an algorithm using system’s voltage and current profiles. The algorithm involves the determination of derivative of apparent power against the current (dS/dIL) of the system. Results: This work also verifies the accuracy of proposed algorithm according to the relative variations in the phase angle of system’s impedance. This research also considers the varying states of distribution system due to switching in and out of DG and therefore Norton’s model needs to be updated accordingly. Conclusion: The efficacy of the proposed algorithm is verified through MATLAB simulation results under two scenarios, (i) normal condition and (ii) faulty condition. During normal condition, the stability factor near to 1 and change in dS/dIL was near to 0 while during fault condition, the stability factor was higher than 1 and the value of dS/dIL was away from 0.


2016 ◽  
Vol 5 (10) ◽  
pp. 4920
Author(s):  
Amar M. Ali ◽  
Hussain. J. Mohammed*

A new, simple, sensitive and rapid spectrophotometric method is proposed for the determination of trace amount of Nickel (II). The method is based on the formation of a 1:2 complex with 4-(4-((2-hydroxy-6-nitrophenyl) diazenyl) -3-methyl-5-oxo-2, 5-dihydro-1H-pyrazol-1-yl) benzenesulfonic acid (2-ANASP) as a new reagent is developed. The complex has a maximum absorption at 516 nm and εmax of 1. 84 X 105 L. mol-1. cm-1. A linear correlation (0. 25 – 4. 0μg. ml-1) was found between absorbance at λmax and concentration. The accuracy and reproducibility of the determination method for various known amounts of Nickel (II) were tested. The results obtained are both precise (RSD was 1. 2 %) and accurate (relative error was 0. 787 %). The effect of diverse ions on the determination of Nickel (II) to investigate the selectivity of the method were also studied. The stability constant of the product was 0. 399 X 106 L. mol-1. The proposed method was successfully applied to the analysis of diabetes blood and normal human blood. 


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