Relevant bibliographies by topics / Buckingham π theorem

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Buckingham π theorem'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 February 2022

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Journal articles on the topic "Buckingham π theorem"

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García-Barrachina, Luis, та Antonio J. Gámez. "Dimensional Analysis of Superplastic Processes with the Buckingham Π Theorem". Metals 10, № 12 (2020): 1575. http://dx.doi.org/10.3390/met10121575.

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This work applies the Buckingham Π theorem from dimensional analysis on superplastic processes in order to obtain laws of behaviour in a simple way. For this reason, a mathematical background is developed. The particular behaviour of superplastic materials makes it necessary to adapt the way in which these are treated, modelling them by a viscosity function of the strain-rate. Then, dimensional analysis is applied on a set of free-inflation tests in order to obtain a formula that defines the forming time as single function of geometric and material variables. Dimensional analysis allows us to reduce the number of variables to analyse from six to only three. Finally, two different forming time estimators are compared to measure the accuracy of our method, showing a significant improvement over previous methods.
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Münker, Tobias, Denis Anders та Kerstin Weinberg. "Application of Buckingham Π -theorem to asymmetric plate rolling processes". PAMM 12, № 1 (2012): 647–48. http://dx.doi.org/10.1002/pamm.201210312.

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Mohseni, M. S., B. Miripour-Fard, and A. Zajkani. "Experimental Study of Pumping Performance of Rotating Helical Pump as a Gas—Liquid Transporter." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224, no. 11 (2010): 2418–22. http://dx.doi.org/10.1243/09544062jmes1868.

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A rotating helical pump is introduced in this article. This pump can transport gas—liquid two-phase flow. A prototype of the pump was manufactured, and its operational performance was determined experimentally. The influence of the pump geometric parameters on its performance was investigated. Dimensionless parameters were derived from the Buckingham π-theorem to find the effect of a wide range of parameters. Results provide some useful information about the performance of the rotating helical pump.
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Dapelo, Davide, Robin Trunk, Mathias J. Krause, Nigel Cassidy та John Bridgeman. "The application of Buckingham π theorem to Lattice-Boltzmann modelling of sewage sludge digestion". Computers & Fluids 209 (вересень 2020): 104632. http://dx.doi.org/10.1016/j.compfluid.2020.104632.

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Ciulla, Giuseppina, Antonino D’Amico та Valerio Lo Brano. "Evaluation of building heating loads with dimensional analysis: Application of the Buckingham π theorem". Energy and Buildings 154 (листопад 2017): 479–90. http://dx.doi.org/10.1016/j.enbuild.2017.08.043.

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Korczewski, Zbigniew, and Konrad Marszałkowski. "Energy Analysis of the Propulsion Shaft Fatigue Process in a Rotating Mechanical System Part III Dimensional Analysis." Polish Maritime Research 28, no. 2 (2021): 72–77. http://dx.doi.org/10.2478/pomr-2021-0023.

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Abstract This article presents the third and last part of the problem of diagnosing the fatigue of marine propulsion shafts in terms of energy with the use of the action function, undertaken by the authors. Even the most perfect physical models of real objects, observed under laboratory conditions and developed based on the results of their research, cannot be useful in diagnostics without properly transferring the obtained results to the scale of the real object. This paper presents the method of using dimensional analyses and the Buckingham theorem (the so-called π theorem) to determine the dimensionless numbers of the dynamic similarity of the physical model of the propulsion shaft and its real ship counterpart, which enable the transfer of the results of the research on the energy processes accompanying the ship propulsion shaft fatigue from the physical model to the real object.
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Russo, Luigi, Marco Sorrentino, Pierpaolo Polverino та Cesare Pianese. "Application of Buckingham π theorem for scaling-up oriented fast modelling of Proton Exchange Membrane Fuel Cell impedance". Journal of Power Sources 353 (червень 2017): 277–86. http://dx.doi.org/10.1016/j.jpowsour.2017.03.116.

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Ghaemi, Ahad. "Mass transfer and thermodynamic modeling of carbon dioxide absorption into MEA aqueous solution." Polish Journal of Chemical Technology 19, no. 3 (2017): 75–82. http://dx.doi.org/10.1515/pjct-2017-0052.

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Abstract In this research, thermodynamic and absorption rate of carbon dioxide in monoethanolamine (MEA) solution was investigated. A correlation based on both liquid and a gas phase variable for carbon dioxide absorption rate was presented using the π-Buckingham theorem. The correlation was constructed based on dimensionless numbers, including carbon dioxide loading, carbon dioxide partial pressure, film parameter and the ratio of liquid phase film thickness and gas phase film thickness. The film parameter is used to apply the effect of chemical reactions on absorption rate. A thermodynamic model based on the extended-UNIQUAC equations for the activity coefficients coupled with the Virial equation of state for representing the non-ideality of the vapor phase was used to predict the CO2 solubility in the CO2-MEA-H2O system. The average absolute error of the results for the correlation was 6.4%, which indicates the accuracy of the proposed correlation.
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Schricker, Klaus, Mohammad Alhomsi, and Jean Pierre Bergmann. "Thermal Efficiency in Laser-Assisted Joining of Polymer–Metal Composites." Materials 13, no. 21 (2020): 4875. http://dx.doi.org/10.3390/ma13214875.

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Heat conduction joining is mainly used in laser-based joining of metals with polymers but results in a large amount of dissipated heat. The consideration of thermal efficiency allows the determination of power actually used for creating the joint, which is highly relevant for technical and economic reasons, e.g., for calculating the carbon footprint. In order to describe the thermal efficiency universally, process parameters (focal diameter, joining speed, energy per unit length), metallic materials (AA 6082, AISI 304), geometric parameters (overlap width, material thickness) and various polymers (polypropylene, polyamide 6, polyamide 6.6) were examined experimentally. The discussion of the results is supplemented by numerical simulations of the temperature field. For a general description of the physical relationships, some dimensionless numbers based on the Buckingham π theorem were developed, applied to the experimental data. One of these numbers shows similarity to the Fourier number and provides further information on thermal efficiency and its general understanding in the context of polymer–metal joints, enabling the physical background dissipated to stored heat.
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Rogkas, Nikolaos, Christos Vakouftsis, Georgios Vasileiou, Christos Manopoulos, and Vasilios Spitas. "Nondimensional Characterization of the Operational Envelope of a Wet Friction Clutch." Computation 8, no. 1 (2020): 21. http://dx.doi.org/10.3390/computation8010021.

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In recent years, multidisc wet friction clutches are used in demanding powertrains of automatic and dual clutch transmissions targeting high efficiency and smoothness during gearshift. However, the developed flow pattern between the clutch discs is significantly complex and the Computational Fluid Dynamics (CFD) methods employed are quite demanding in terms of computational cost. To deal with this issue semi-analytical solutions were derived, which are limited, however, to specific problems, in order to obtain handy expressions, while also providing insight to the wet clutch physics. Nevertheless, this lack of global validity is counterbalanced by the fact that the governing equations become analytically solvable at specific operational conditions with satisfactory accuracy, provided that the simplifications rendering the truncated terms inactive hold true. In this work, a quantitative way of determining the relative weight of each term of the Navier-Stokes (NS) equations set is presented, based on the post-processing of CFD results using the Buckingham “π-theorem”. The sets of nondimensional numbers created were used to describe and model the physics of the wet clutch.
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Dissertations / Theses on the topic "Buckingham π theorem"

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YANG, GEPENG, and JONATHAN ADOLFSSON. "Modular Scaled Development Platform for Steering Algorithms using LEGO Mindstorms." Thesis, KTH, Skolan för industriell teknik och management (ITM), 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-263166.

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The topic of the thesis is to build physically similar systems to simulate behaviors of real-life heavy-duty vehicles using LEGO Mindstorms as hardware platform and Buckingham π theorem as theoretical basis for the parameter scaling. The thesis work includes software and hardware system design and theoretical research in order to prove a newly proposed concept: Using LEGO to build a scaled model of real-life vehicles with specific similar physical properties. To implement the work described above, scaled models were built with LEGO and a software and hardware system was developed for controlling the scaled model. Tests were performed both on real-life vehicles and scaled models. A generalized mathematical model for the vehicle was derived in order to interpret the behaviors of the vehicle in a scientific way. Then, test results of both real-life vehicles and the corresponding scaled model were compared with the mathematical model in order to investigate if they have similar behaviors. Finally it was concluded that the scaled model built with LEGO Mindstorms combined with Buckingham π theorem could calculate the speed and turning radius of the physically similar real-life vehicle with an average accuracy of 94.68% within low speed, conservatively speaking. For further investigation and research, similar research could be performed with higher speeds to generalize the conclusions and results.<br>Uppsatsen ämnar till att bygga ett fysiskt likvärdigt system, som simulerar beteendet av verkliga tunga fordon, med LEGO Mindstorms som hårdvaruplattform och med Buckingham П teoremet som teoretisk grund from skalning av parametrar. Arbetet inkluderar mjukvaru- och hårdvarusystemdesign samt teoretisk forskning för att kunna bevisa ett nyligen föreslaget koncept: Att använda LEGO för att bygga en skalad modell av verkliga fordon med specifika likartade fysiska egenskaper. För att implementera det ovan föreslagna arbetet, byggdes skalade modeller i LEGO samt ett kombinerat hård- och mjukvarusystem för att styra den skalade modellen. Tester utfördes på både riktiga lastbilar samt de skalade modellerna. För att kunna identifiera parametrar samt simulera och tyda fordonens beteende så adapterades en generell matematisk modell. Testresultaten för på verkliga samt motsvarande skalade modeller jämfördes med den matematiska modellen för att påvisa om beteendet är likartat. Till sist drogs slutsatsen att den skalade modellen bygg med LEGO Mindstorms och parameterskalad med hjälp av Buckingham П teoremet kunde beräkna skalningsfaktorn av hastighet samt svängradie för det fysiskt likartade fordonet med en tillförlitlighet på 94.68%, konservativt räknat. Detta gäller för låga hastigheter och som fortsatt forskning skulle en liknande studie med starkare och snabbare motorer genomföras för att generalisera slutsatserna och resultaten.
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Dapelo, Davide, R. Trunk, M. J. Krause, N. Cassidy та John Bridgeman. "The application of Buckingham π theorem to Lattice-Boltzmann modelling of sewage sludge digestion". 2020. http://hdl.handle.net/10454/18192.

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Yes<br>For the first time, a set of Lattice-Boltzmann two-way coupling pointwise Euler-Lagrange models is applied to gas mixing of sludge for anaerobic digestion. The set comprises a local model, a “first-neighbour” (viz., back-coupling occurs to the voxel where a particle sits, plus its first neighbours) and a “smoothing-kernel” (forward- and back-coupling occur through a smoothed-kernel averaging procedure). Laboratory-scale tests display grid-independence problems due to bubble diameter being larger than voxel size, thereby breaking the pointwise Euler-Lagrange assumption of negligible particle size. To tackle this problem and thereby have grid-independent results, a novel data-scaling approach to pointwise Euler-Lagrange grid independence evaluation, based on an application of the Buckingham π theorem, is proposed. Evaluation of laboratory-scale flow patterns and comparison to experimental data show only marginal differences in between the models, and between numerical modelling and experimental data. Pilot-scale simulations show that all the models produce grid-independent, coherent data if the Euler-Lagrange assumption of negligible (or at least, small) particle size is recovered. In both cases, a second-order convergence was achieved. A discussion follows on the opportunity of applying the proposed data-scaling approach rather than the smoothing-kernel model.
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Δασκαλάκη, Αγγελική. "Διαστατική ανάλυση". Thesis, 2012. http://hdl.handle.net/10889/5348.

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Στην παρούσα Διπλωματική Εργασία μελετώνται εφαρμογές της θεωρίας της Διαστατικής Ανάλυσης στην μαθηματική μοντελοποίηση. Πιο συγκεκριμένα, στο πρώτο κεφάλαιο εισάγουμε την έννοια της διαστατικής ανάλυσης καθώς και την χρησιμότητά της κάνοντας ταυτόχρονα μια σύντομη ιστορική αναδρομή. Στο ίδιο κεφάλαιο ακόμα παραθέτουμε το περίφημο παράδειγμα στο οποίο ο G.I. Taylor υπολόγισε, με την βοήθεια της Διαστατικής Ανάλυσης, την ενέργεια που εκλύθηκε από την πρώτη, δοκιμαστική ατομική βόμβα στο New Mexico τον Ιούλιο του 1945. Στο δεύτερο κεφάλαιο αναπτύσσονται το Θεώρημα Π του Buckingham, το οποίο αποτελεί το θεμελιώδες θεωρητικό υπόβαθρο της Διαστατικής Ανάλυσης, καθώς και δύο εφαρμογές που βασίζονται στο παραπάνω θεώρημα. Η πρώτη εξ' αυτών αναφέρεται στην ταχύτητα εξάπλωσης της πετρελαιοκηλίδάς στον Κόλπο του Μεξικού που προκλήθηκε από την έκρηξη σε υποθαλάσσια πλατφόρμα εξόρυξης πετρελαίου την άνοιξη του 2010. Τέλος, στο τρίτο κεφάλαιο αναλύονται οι εξισώσεις Navier-Stokes και συνέχειας της Ρευστοδυναμικης. Ελέγχουμε ότι οι εξισώσεις αυτές είναι διαστατικά ομογενείς και στη συνέχεια περιγράφουμε τη διαδικασία κανονικοποίησής τους.<br>In this paper, we study applications of the theory of dimensional analysis in mathematical modeling. More specifically, the first chapter introduces the concept of dimensional analysis and the usefulness of simultaneously making a brief historical overview. In the same chapter is describt the famous example in which the G.I. Taylor estimated with the help of dimensional analysis, the energy emitted by the first atomic bomb test in New Mexico in July 1945. In the second chapter, Theorem Π of Buckingham, which is the fundamental theoretical basis of dimensional analysis, as well as two applications based on the above theorem. The first of them refers at the spead of spreading oil slick in the Gulf of Mexico caused by the boom in offshore oil platform in the spring of 2010. Finally, the third chapter analyzes the equations of Navier-Stokes and continuity of fluid dynamics. We check that these equations are dimensional homogeneous and then we describe the process of how we can to normalize them.
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Book chapters on the topic "Buckingham π theorem"

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Conejo, Alberto N. "Buckingham’s π Theorem." In Fundamentals of Dimensional Analysis. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-1602-0_6.

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Garrett, Steven L. "Comfort for the Computationally Crippled." In Understanding Acoustics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44787-8_1.

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Abstract The difference between engineering and science, and all other human activity, is the fact that engineers and scientists make quantitative predictions about measurable outcomes and can specify their uncertainty in such predictions. Because those predictions are quantitative, they must employ mathematics. This chapter is intended as review of some of the more useful mathematical concepts, strategies, and techniques that are employed in the description of vibrational and acoustical systems and in the calculation of their behavior. Topics in this review include techniques such as Taylor series expansions, integration by parts, and logarithmic differentiation. Equilibrium and stability considerations lead to relations between potential energies and forces. The concept of linearity leads to superposition and Fourier analysis. Complex numbers and phasors are introduced along with the techniques for their algebraic manipulation. The discussion of physical units is extended to include their use for predicting functional dependencies of resonance frequencies, quality factors, propagation speeds, flow noise, and other system behaviors using similitude and the Buckingham Π-theorem to form dimensionless variables. Linearized least-squares fitting is introduced as a method for extraction of experimental parameters and their uncertainties and error propagation is presented to allow those uncertainties to be combined.
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"BUCKINGHAM'S Π-THEOREM." In Thermophysical Properties of Materials. Elsevier, 1999. http://dx.doi.org/10.1016/b978-044482794-4/50021-8.

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Conference papers on the topic "Buckingham π theorem"

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Cho, Uichung, Kristin L. Wood, and Richard H. Crawford. "System-Level Functional Testing for Scaled Prototypes With Configurational Distortions." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8606.

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Abstract The means to obtain and manage design information is a critical factor that decides the performance of product development processes. Designers use both virtual and physical models to design high quality products. Relatively, virtual models are flexible and require less time and cost, and physical models more accurately reflect physical phenomena. Correlation between physical models and products is difficult, except for situations in which the Buckingham Π theorem holds. We developed the empirical similarity method for situations not handled by the Π theorem. The empirical similarity method for products composed of a single material has been described previously. In this paper, we extend the empirical similarity method to predict behaviors of products composed of multiple materials. Through the extended method, one can perform system-level functional testing with prototypes. Numerical and experimental examples are provided for illustration and validation purposes. The examples demonstrate the feasibility of the empirical similarity method to correlate systems with distinct configurations, and clarify expected industrial benefits.
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Hammad, M., M. Tarawneh, and A. Al-Shqirate. "Simplified Correlation Equations of Heat Transfer Coefficient During Phase Change Flow Inside Tubes Filled With Porous Media." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-85491.

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In this work an easy to use, simple and direct equations were formulated and tested. Heat transfer coefficients of phase change fluid flow were examined in this work. The considered fluid flow encountered convection heat flux inside rigid tubes filled with porous media. During the flow, phase change was assumed. Experimental work was conducted using Carbon dioxide as fluid. An analytical method using exponential non dimensional analysis was used. The Buckingham π theorem and method of indices was used to obtain simplified formula for the convection heat transfer coefficient and for the Nusselt number. Two different correlations can be extracted from this formula; one for the evaporation process and the other for the condensation process.
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Tadepalli, Srikanth, Kristin L. Wood, Richard H. Crawford, and Brian L. Doud. "Estimation of Product Response: The Empirical Similitude Method and Technique of Conformal Mapping." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57773.

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Functional testing of representative prototypes is an important phase in the evolution of most products. Layer Fabrication methods, importantly the Selective Laser Sintering (SLS) process allow for quick fabrication of test prototypes such that the experimental data derived from them can be used to predict the response of a hypothetical product for a desired variable of interest. Traditional Similitude Method (TSM) or Buckingham π theorem has been used conventionally for dimensional analysis to correlate the similarity between different structures. Some of its inherent limitations have prompted researchers to include the effects of non-linear material variations and geometric distortions during the scaling process. Thus, the development of the Empirical Similitude Method (ESM) is largely based on the hypothesis that these non-linear variations and distortions can be captured mathematically by using intermediate test specimens. In an effort to improve ESM, conformal mapping has been hypothesized to be an important technique for scaling and analysis. This paper explores the technique of Conformal Mapping as a potential equivalence procedure based on the principle of ESM. The methodology is elucidated along with a heat transfer example.
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Chen, Chang-Nian, Ji-Tian Han, Li Shao, Wen-Wen Chen, and Tien-Chien Jen. "Study on Fluid-to-Fluid Modeling of CHF of R134a-Water in Horizontal Helically-Coiled Tubes." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22586.

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The new similarity laws for fluid-to-fluid modeling of critical heat flux (CHF) in horizontal helically-coiled tubes were derived based on the dimensional analysis and similarity theory considering the effect of the geometrical parameters on CHF. A generalized factor Dn was introduced to the new similarity laws, and all the new dimensionless numbers were derived from the classical theorem of Buckingham π for dimensional analysis. The obtained dimensionless parameter sets were a reasonable extension to Ahmad’s compensated distortion model, which may be considered as a special case of the new dimensionless parameter sets when the variable n is equal to unity. Based on the experimental data, the specific similarity numbers were determined for CHF phenomena in horizontal helically-coiled tubes. A new equivalent characteristic parameter De-helix was developed, which could reflect the influence of complex flow channels on the occurrence of CHF. The equivalent characteristic parameter consists of the essential geometrical parameters of tubes and the fluid thermophysical properties. The new fluid-to-fluid modeling methods were proposed for CHF of R134a-water in horizontal helically-coiled tubes, which could be used readily to derive the CHF data of water through the CHF data of R134a at the corresponding experimental conditions.
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Fahed, M., and I. Barsoum. "Development of a Closed-Form Expression for the Assessment of the Integrity of Internally Corroded Pipelines." In ASME 2018 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/pvp2018-84020.

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Carbon steel pipelines are renowned for their long-term resistance to the hydrostatic pressure of the transported fluid. Nevertheless, failure of carbon steel pipes can be catastrophic if not predicted or mitigated properly. One of the most common failure causes in carbon steel pipelines is corrosion of the pipeline inner and outer surfaces. The corrosion on pipeline walls will eventually lead to severe loss of material to a point which will cause complete loss of pipeline integrity. The study will assess the burst pressure of predefined internal corrosion-defected carbon steel pipelines through finite element analysis. The mechanical response of the host carbon steel pipeline is empirically estimated. A set of corrosion defect geometrical sizes, such as depth width and length to be considered is carefully developed. Accordingly, a parametric study considering the developed set of defect geometrical parameters, as well as the mechanical response of the pipe material, is conducted. The parametric study is performed through finite element analysis to investigate the influence of the highlighted parameters to the overall burst pressure of the pipe. Based on the results from parametric study of corrosion-defected carbon steel pipelines, the Buckingham π-theorem modelling approach is used to derive an analytical closed-form expression to predict the burst pressure of defected pipes containing internal corrosion defects of an arbitrary size.
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Denecke, J., J. Fa¨rber, K. Dullenkopf, and H. J. Bauer. "Dimensional Analysis and Scaling of Rotating Seals." In ASME Turbo Expo 2005: Power for Land, Sea, and Air. ASMEDC, 2005. http://dx.doi.org/10.1115/gt2005-68676.

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To characterize contactless seals in turbo machinery, their discharge behavior, the development of the circumferential velocity (swirl) and the loss induced total temperature increase (windage heating) are of special interest for the designer. For the discharge behavior of non-rotating labyrinth seals, a well established set of non-dimensional numbers already exists: the discharge coefficient of two seals with different sizes but similar geometry is identical, if pressure ratio, axial Reynolds number, fluid properties and turbulence level are also identical. In this paper, the set of non-dimensional numbers is extended to cover swirl and windage heating using the well established Buckingham-π theorem to derive possible candidates. First, as a proof of concept, the known set of numbers for the non-rotating case was redeveloped and subsequently the influence of rotation was included. To validate the candidates, a comprehensive numerical parametric study was conducted. A variety of convergent and divergent stepped labyrinth seals was scaled from laboratory to typical engine conditions such that the dimensionless numbers stayed constant. Then, simulations at different rotational speeds, radii, and inlet circumferential velocities were performed to investigate the effects of rotation while maintaining nearly constant discharge behavior. The numerical data were used to validate the new non-dimensional numbers and to derive laws for the scaling of labyrinth seals. The non-dimensional numbers can also be applied to other seal types, such as brush or finger seals, because their theoretical deduction does not imply a specific geometry.
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Kim, Ook Joong, Young-Ho Choi, and Seok Ho Yoon. "Flow Characteristics of Electronic Expansion Valves for Heat Pump System Using Carbon Dioxide as a Refrigerant." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30415.

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An experimental study on the flow characteristics of electronic expansion valves (EEVs) for heat pump system using carbon dioxide as a refrigerant have been carried out in this study. Many researches and efforts have been made to replace chemical refrigerants like Chloro-Fluoro-Carbon (CFC) and Hydro-Chloro-Fluoro-Carbon (HCFC) with natural refrigerants such as carbon dioxide and apply natural refrigerants to chillers or heat pump systems. In this study, we focused on the development of EEV and 4-way valve among the important components of heat pump system using natural refrigerant. The mass flow rate was measured at various EEV inlet temperature and pressure conditions with respect to several EEV openings operated at a heat pump system which has about 10 kW of cooling capacity. The heat pump system consists of a reciprocating compressor, a gas cooler, an evaporator, an EEV, and a 4-way valve which was developed for this study. The inlet temperature and pressure of an EEV was varied from 5°C to 40°C and from 7 MPa to 10 MPa, respectively. The mass flow rate of carbon dioxide through the EEV ranged from 50 g/s to 120 g/s. The mass flow rate of carbon dioxide around the critical point was affected by the inlet temperature and pressure of EEV, valve opening, and density variation. An empirical mass flow rate correlation of carbon dioxide based on the Buckingham π-theorem was developed in this study, and this correlation predicted experimental data within an average absolute deviation of 4.2%. The correlation can be applied to predict the mass flow rate through EEV used in the heat pump system using carbon dioxide as a refrigerant. And the reliability test of developed 4-way valve was conducted. This 4-way valve showed stable operation in the high pressure condition.
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Tavouktsoglou, Nicholas S., John M. Harris, Richard R. Simons, and Richard J. S. Whitehouse. "Equilibrium Scour Prediction for Uniform and Non-Uniform Cylindrical Structures Under Clear Water Conditions." In ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/omae2016-54377.

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Offshore Gravity Base Foundations (GBFs) are often designed with non-uniform cylindrical geometries. Such structures interact with the local hydrodynamics which amplify the adverse dynamic pressure gradient, which is responsible for all flow and scour phenomena including the bed shear stress amplification. In this study a method for predicting the effect non-uniform cylindrical structure geometries have on local scour around offshore structures under the forcing of a unidirectional current is presented. The interaction of the flow field with the sediment around these complex structures is described in terms of non-dimensional parameters that characterize the similitude of water-sediment movement. The paper presents insights in the influence a form of the Euler number has on the equilibrium scour around uniform and non-uniform cylindrical structures. Here the Euler number is defined as the depth averaged pressure gradient (calculated using potential flow theory) divided by the product of the square of mean flow velocity and the fluid density. The insights are confirmed through a series of experiments where the equilibrium scour was monitored for different types of structures and flow conditions. The results of this study show that the Euler number is a more appropriate parameter for describing the scour potential of a structure compared to using the equivalent pile diameter. The experimental data show that an increasing Euler number yields an increase in the non-dimensional equilibrium scour. The results of this study also suggest that an increase in the water depth yields a decrease in the equilibrium scour depth for the conical, cylindrical base structures and truncated cylinders and an increase in the equilibrium scour depth for the uniform cylinders which can also be explained in terms of changes in the Euler number. Finally, the Buckingham π theorem in conjunction with the experimental data was used to derive a simple shape correction factor that could be used to determine the scour depth of a non-uniform cylindrical structure based on the equilibrium scour produced for the same flow conditions by a uniform cylinder.
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Verma, Rajeev, Domitilla Del Vecchio, and Hosam K. Fathy. "Longitudinal Vehicle Dynamics Scaling and Implementation on a HIL Setup." In ASME 2008 Dynamic Systems and Control Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/dscc2008-2236.

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This paper presents the application of Buckingham’s π theorem to scale the powertrain of a High Mobility Multipurpose Wheeled Vehicle (HMMWV) by deriving non dimensional ratios called π parameters. A Hardware In the Loop (HIL) setup is constructed and the resulting longitudinal dynamics of the scaled vehicle are validated against those of a full scale vehicle model. This is performed with the ultimate goal of testing cooperative collision avoidance algorithms on a testbed comprising a number of these scaled vehicles. This paper is based on “Development of a scaled vehicle with Longitudinal dynamics of a HMMWV for ITS testbed”, by Verma, R., Domitilla Del Vecchio, and Hosam K. Fathy which appeared in IEEE/ASME Transactions on Mechatronics, February 2008 and is being reprinted with permission from IEEE.
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10

Nouri-Borujerdi, A., and P. Javidmand. "Critical Mass Flow Rate Through Capillary Tubes." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30250.

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This paper presented a numerical study that predicts critical mass flow rate, pressure, vapor quality, and void fraction along a very long tube with small diameter or capillary tub under critical condition by the drift flux model. Capillary tubes are simple expansion devices and are necessary to design and optimization of refrigeration systems. Using dimensional analysis by Buckingham’s π theory, some generalized correlations are proposed for prediction of flow parameters as functions of flow properties and tube sizes under various critical conditions. This study is performed under the inlet pressure in the range of 0.8 ≤ pin ≤ 1.5Mpa, subcooling temperature between 0 ≤ ΔTsub ≤ 10 °C. The tube diameter is in the range of 0.5 ≤ D ≤ 1.5mm and tube length between 1 ≤ L ≤ 2m for water, ammonia, refrigerants R-12, R-22 and R-134 as working fluids. Comparison between the results of the present work and some experimental data indicates a good agreement. Cluster of data close to the fitted curves also shows satisfactory results.
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