Academic literature on the topic 'K-inner Functions'

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Journal articles on the topic "K-inner Functions"

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Yang, Congli. "Inner functions inQKtype spaces." Journal of Function Spaces and Applications 9, no. 3 (2011): 305–22. http://dx.doi.org/10.1155/2011/765101.

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Inner functions inQK(p,q)are studied, providedKsatisfies certain regularity conditions. In particular, it is shown that the only inner functions inQK(p, p-2), p≥1, are precisely the Blaschke products whose zeros{zn}satisfysup⁡a∈D∑K(1-|φa(zn)|2)<∞.
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Qian, Ruishen. "Inner functions in QK spaces and multipliers." Mathematica Slovaca 72, no. 3 (2022): 623–34. http://dx.doi.org/10.1515/ms-2022-0042.

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Abstract In this paper, under some conditions on weighted function K, we give some new equivalent characterizations of inner functions in Q K spaces. Meanwhile, we also studied inner functions in Q K spaces as multipliers of C 𝓑(Q K ) ∩ BMOA, where C 𝓑(Q K ) denoted the closure of Q K spaces in Bloch spaces.
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Bayart, Frédéric. "Universal Inner Functions on the Ball." Canadian Mathematical Bulletin 51, no. 4 (2008): 481–86. http://dx.doi.org/10.4153/cmb-2008-048-8.

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AbstractIt is shown that given any sequence of automorphisms (ϕk)k of the unit ball of ℂN such that ‖ϕk(0)‖ tends to 1, there exists an inner function I such that the family of “non-Euclidean translates” (I о ϕk)k is locally uniformly dense in the unit ball of H∞().
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Shakh-Emirov, Tadgidin. "On uniform convergence of Fourier-Sobolev series." Daghestan Electronic Mathematical Reports, no. 12 (December 5, 2019): 55–61. http://dx.doi.org/10.31029/demr.12.5.

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Let $\{\varphi_{k}\}_{k=0}^\infty$ be a system of functions defined on $ [a, b] $ and orthonormal in $ L ^ 2_ \rho = L ^ 2_\rho ( a, b) $ with respect to the usual inner product. For a given positive integer $ r $, by $\{\varphi_{r,k}\}_{k=0}^\infty$ we denote the system of functions orthonormal with respect to the Sobolev-type inner product and generated by the system $\{\varphi_{k}\}_{k=0}^\infty$. In this paper, we study the question of the uniform convergence of the Fourier series by the system of functions $\{\varphi_{r,k}\}_{k=0}^\infty$ to the functions $f\in W^r_{L^p_\rho}$ in the case
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Huban, Mualla, Hamdullah Başaran, and Mehmet Gürdal. "Berezin number inequalities via convex functions." Filomat 36, no. 7 (2022): 2333–44. http://dx.doi.org/10.2298/fil2207333h.

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The Berezin symbol ?A of an operator A on the reproducing kernel Hilbert space H (?) over some set ? with the reproducing kernel k? is defined by ? (?) = ?A k?/||k?||, k?/||k?||?, ? ? ?. The Berezin number of an operator A is defined by ber(A) := sup ??? |?(?)|. We study some problems of operator theory by using this bounded function ?, including treatments of inner product inequalities via convex functions for the Berezin numbers of some operators. We also establish some inequalities involving of the Berezin inequalities.
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Khare, Mona, and Pratibha Pandey. "Outer and inner approximations in quantum spaces." Mathematica Slovaca 71, no. 1 (2021): 11–26. http://dx.doi.org/10.1515/ms-2017-0449.

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Abstract The present paper introduces and studies the concepts of K-outer approximation and K-inner approximation for a monotone function μ defined on a D-poset P, by a subfamily K of P. Some desirable properties of K-approximable functions are established and it is shown that the family of all elements of P that possess K-approximation, forms a lattice and is closed under orthosupplementation. We have proved that a submodular measure on a suitable subfamily of P having K-outer approximation can be extended to a function that has K-outer approximation, and a tight function that has K-inner app
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Boudref, Mohamed Ahmed. "Inner product and Gegenbauer polynomials in Sobolev space." Russian Universities Reports. Mathematics, no. 138 (2022): 150–65. http://dx.doi.org/10.20310/2686-9667-2022-27-138-150-163.

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In this paper we consider the system of functions G_(r,n)^α (x) (r∈N,n=0,1,…) which is orthogonal with respect to the Sobolev-type inner product on (-1,1) and generated by orthogonal Gegenbauer polynomials. The main goal of this work is to study some properties related to the system {φ_(k,r) (x)}_(k≥0) of the functions generated by the orthogonal system {G_(r,n)^α (x)} of Gegenbauer functions. We study the conditions on a function f(x) given in a generalized Gegenbauer orthogonal system for it to be expandable into a generalized mixed Fourier series of the form f(x)~∑_(k=0)^(r-1)▒〖f^((k) ) (-1
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Saito, Hiroshi. "On L-functions associated with the vector space of binary quadratic forms." Nagoya Mathematical Journal 130 (June 1993): 149–76. http://dx.doi.org/10.1017/s0027763000004475.

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The purpose of this paper is to prove functional equations of L-functions associated with the vector space of binary quadratic forms and determine their poles and residues. For a commutative ring K, let V(K) be the set of all symmetric matrices of degree 2 with coefficients in K. In V(C), we consider the inner productwhere for .
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Yang, Liu. "Inner functions as multipliers and zero sets in weighted Dirichlet spaces." Georgian Mathematical Journal 27, no. 4 (2020): 655–60. http://dx.doi.org/10.1515/gmj-2018-0064.

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DMITRIEV, ANDREY V., NINA A. DMITRIEVA, KENT T. KEYSER, and STUART C. MANGEL. "Multiple functions of cation-chloride cotransporters in the fish retina." Visual Neuroscience 24, no. 4 (2007): 635–45. http://dx.doi.org/10.1017/s0952523807070629.

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A GABA- or glycine-induced increase in Cl− permeability can produce either a depolarization or hyperpolarization, depending on the Cl− equilibrium potential. It has been shown that retinal neurons express the chloride cotransporters, Na-K-2Cl (NKCC) and K-Cl (KCC), the primary molecular mechanisms that control the intracellular Cl− concentration. We thus studied (1) the localization of these cotransporters in the fish retina, and (2) how suppression of cotransporter activity in the fish retina affects function. Specific antibodies against NKCC and KCC2 revealed that both cotransporters were ex
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Dissertations / Theses on the topic "K-inner Functions"

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Bhattacharjee, Monojit. "Analytic Models, Dilations, Wandering Subspaces and Inner Functions." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/4241.

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This thesis concerns dilation theory, analytic models, joint invariant subspaces, reproducing kernelHilbert spaces and multipliers associated to commuting tuples of bounded linear operators on Hilbert spaces. The main contribution of this thesis is twofold: dilation and analytic model theory for n-tuples of (1) commuting contractions (in the setting of the unit polydisc), and (2) commuting row contractions (in the setting of the unit ball). On n-tuples of commuting contractions: We study analytic models of operators with some positivity assumptions and quotient modules of function Hilbert spac
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Books on the topic "K-inner Functions"

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Skiba, Grzegorz. Fizjologiczne, żywieniowe i genetyczne uwarunkowania właściwości kości rosnących świń. The Kielanowski Institute of Animal Physiology and Nutrition, Polish Academy of Sciences, 2020. http://dx.doi.org/10.22358/mono_gs_2020.

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Bones are multifunctional passive organs of movement that supports soft tissue and directly attached muscles. They also protect internal organs and are a reserve of calcium, phosphorus and magnesium. Each bone is covered with periosteum, and the adjacent bone surfaces are covered by articular cartilage. Histologically, the bone is an organ composed of many different tissues. The main component is bone tissue (cortical and spongy) composed of a set of bone cells and intercellular substance (mineral and organic), it also contains fat, hematopoietic (bone marrow) and cartilaginous tissue. Bones a
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Book chapters on the topic "K-inner Functions"

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Eschmeier, Jörg, and Sebastian Toth. "K-Inner Functions and K-Contractions." In Operator Theory, Functional Analysis and Applications. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-51945-2_8.

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Datta, Pratish, Tatsuaki Okamoto, and Junichi Tomida. "Full-Hiding (Unbounded) Multi-input Inner Product Functional Encryption from the k-Linear Assumption." In Public-Key Cryptography – PKC 2018. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76581-5_9.

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Pang, Ji-Jie. "Retinal Mechanical Sensation." In Physiology. IntechOpen, 2024. http://dx.doi.org/10.5772/intechopen.114957.

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Retinal neurons process light signals and respond to mechanical signals. mechanosensitive channels (MSCs) have been revealed in all retinal layers in humans, monkeys, mice, rats, porcine, salamanders, goldfish, etc. Some MSCs open in physiological conditions to regulate membrane potential, light responses, and neurotransmitter release, and some MSCs can mediate neurodegenerative effects. Alterations in the intraocular and external pressure critically involve the pathogenesis of glaucoma, traumatic retinal injury (TRI), and other retinal disorders. Our team revealed several MSCs in the outer an
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Zhou, Huawei, Fuhua Wang, Renchuan Zhu, and Kaiyuan Shi. "Numerical Study on Ship Parametric Roll in Head Waves." In Progress in Marine Science and Technology. IOS Press, 2020. http://dx.doi.org/10.3233/pmst200048.

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Ship parametric roll is one of the main reasons for marine accidents and is introduced into the second-generation intact stability criteria by the International Maritime Organization (IMO) recently. In this paper, a 6-DOF three-dimensional time-domain model based on the IRF (Impulse Response Function) method is constructed to predict large-amplitude ship motions and investigate the phenomenon of parametric roll in head waves as well as major factors. The F-K forces and the restoring forces are calculated on the instantaneous wet surface while the radiation and diffraction forces are kept linea
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Stroganova, Evgeniâ. "Ženŝina s knigoj v portretnoj živopisi vtoroj poloviny XVIII – pervoj poloviny XIX v.. Modelʹ i prostranstvo Zametki k teme." In Tożsamość (w) przestrzeni: Studia dedykowane Profesorowi Wasilijowi Szczukinowi. Ksiegarnia Akademicka Publishing, 2022. http://dx.doi.org/10.12797/9788381387316.31.

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One of the most common subjects of world painting is associated with images of a woman with a book. The article uses the example of 32 canvases from the middle of the 18th – first half of the 19th century. The issue of functions of a book as an element of a female portrait is considered. The space depicted in these paintings can be chamber-limited or completely open, subject-ascetic or materially saturated. However, the article is mainly focused on the space of women’s life and a book as its marker. Under the brush of the artist, the book turns out to be an indicator of a woman’s living space:
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Campbell, Robert Jean. "G." In Campbell’s Psychiatric Dictionary. Oxford University PressNew York, NY, 2009. http://dx.doi.org/10.1093/oso/9780195341591.003.0007.

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Abstract g In psychometrics, general intelligence in the sense of reasoning and ability to solve novel problems; it is consistently linked to the integrity and function of the lateral PFC, which supports the executive control of action and attention. Gf is fluid intelligence, “on the spot “ reasoning and novel problem-solving ability, related to analytical intelligence; it is strongly related to working memory. Gc is crystallized intelligence, overlearned skills and static knowledge, such as vocabulary. Psychometric g is highly heritable, and the heritability of intelligence increases with age
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Młodkowska-Przepiórowska, Iwona. "From excavations to investments in the Old Market Square in Częstochowa." In Ziemia Częstochowska. T. 46. Wydawnictwo Naukowe Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie, 2020. http://dx.doi.org/10.16926/zc.2020.46.10.

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The Old Market Square in Częstochowa has been the subject of interest of historians, archaeologists and conservation services since the 1960s. Archaeological research was carried out on and completed in 2012. From May 2019 to the present day, during the earthworks related to the investment, archaeological works have been going on, covering the spaces of access streets – roadways to the market square and pavements, as well as the areas that, for technical reasons, have not previously been covered by the research. Relics of the foundations of the extension to the building and a cellar with a woo
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James, Simon. "How Did the Base Work?" In The Roman Military Base at Dura-Europos, Syria. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198743569.003.0028.

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We now consider how the military base area operated, as a zone where a large number of people lived and worked on a routine basis. On one hand, to function it required the affordances of its internal communications, connections with the civil town, and access to roads, river, and lands beyond the walls; on the other, there was a need for surveillance and control of activities within the base, and of movements across its boundary. The most obvious part of the base boundary (Plate XXII) is the substantial mud brick wall ploughed across four blocks from the city defences just S of Tower 21, and b
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Schmickler, Wolfgang. "Selected experimental results for electron-transfer reactions." In Interfacial Electrochemistry. Oxford University Press, 1996. http://dx.doi.org/10.1093/oso/9780195089325.003.0013.

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Innumerable experiments have been performed on both inner- and outer-sphere electron-transfer reactions. We do not review them here, but present a few results that are directly relevant to the theoretical issues raised in the preceding chapters. The Butler-Volmer equation (5.10) predicts that for |η| > kT/e0 a plot of the logarithm of the current versus the applied potential (Tafel plot) should result in a straight line, whose slope is determined by the transfer coefficient α. Because of the dual role of the transfer coefficient (see Section 5.2), it is important to verify that the transfer
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Conference papers on the topic "K-inner Functions"

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Hood, Donald C., and David G. Birch. "An evaluation of the ERG b-wave as a measure of inner nuclear layer activity: Implications for Naka-Rushton fits." In Noninvasive Assessment of the Visual System. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/navs.1991.ma1.

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The b-wave of the ERG has been used as a measure of the activity of the inner nuclear layer. Fulton and Rushton1 recorded human ERGs elicited by flashes of different intensities and fitted their data with the function where R is the trough-to-peak amplitude of the b-wave, Rm is the maximum amplitude, I is the flash intensity, and K is the semisaturation intensity. They observed that light adaptation changed the values of K and Rm and associated these changes with modification in "the b-wave generating mechanism". Arden et al2 extended this analysis to retinal disease by measuring response-inte
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Johnson, Mary A., and Donald C. Hood. "A Theoretical Interpretation of ERG Abnormalities In Central Retinal Vein Occlusion." In Noninvasive Assessment of the Visual System. Optica Publishing Group, 1988. http://dx.doi.org/10.1364/navs.1988.wa4.

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Central retinal vein occlusion (CRVO) is a disorder in which the circulation to the inner retina is impaired because of a blockage of the central retinal vein. The occlusion can produce severe inner retinal ischemia, leading in some patients to the blinding complication of neovascular glaucoma. In these patients, the choroidal circulation, which serves the photoreceptors, is not impaired. Several types of changes are seen in the electroretinogram (ERG) of patients with CRVO. Sabates and his associates1 have reported preferential reductions in the b-wave amplitude relative to the a-wave amplitu
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Zvorykin, Alexander, Sergey Aleshko, Nataliia Fialko, et al. "Computer Simulation of Flow and Heat Transfer in Bare Tubes at Supercritical Parameters." In 2016 24th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/icone24-60390.

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This paper deals with CFD predictions for flow and heat transfer in supercritical water in a bare tube. Studies were performed using the software FLUENT for upward flows in vertical tubes with heated length of 4 m and an inner diameter of 10 mm at high values of mass flux (G > 1000 kg/m2s). Turbulence models verification data for the given physical conditions are presented. Besides the testing of different turbulence models that are presented in modern catalog of these models is carried out. Namely, the models related to the following three groups: High–Reynolds number k-ε models with wall
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Oosthuizen, Patrick H., and David Naylor. "Effect of a Pair of Horizontal Frame Members on the Convective Heat Transfer With Laminar and Turbulent Flow From a Recessed Window to a Room." In ASME/JSME 2011 8th Thermal Engineering Joint Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajtec2011-44298.

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The horizontal frame members that often protrude from the inner surface of a window can significantly effect the convective heat transfer rate from this inner surface to the room. The purpose of the present numerical study was to determine how the size of a pair of horizontal frame members effect this heat transfer rate. The flow has been assumed to be steady and conditions under which laminar, transitional, and turbulent flows occur are considered. Fluid properties have been assumed constant except for the density change with temperature that gives rise to the buoyancy forces, this being deal
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Oosthuizen, Patrick H., and D. Naylor. "A Numerical Study of the Effect of a Horizontal Frame Member on the Laminar and Turbulent Natural Convective Heat Transfer From a Recessed Window to a Surrounding Room." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22447.

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The vertical and horizontal frame members that often protrude from the inner surface of a window can, in some situations, have a significant effect on the convective heat transfer rate from the inner (room-side) surface of the window to the room. The purpose of the present numerical study was to determine, in a basic way, how the relative size of a single horizontal frame member mounted in the center of the window affects this convective heat transfer rate. A recessed window has been considered. The flow has been assumed to be steady and both laminar and turbulent flows have been considered. F
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Para, Srinivasa Rao, Xianchang Li, and Ganesh Subbuswamy. "Numerical Study of Mist Film Cooling in Combustor at Operating Conditions." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-12996.

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To improve the gas turbine thermal performance, apart from using a high compression ratio, the turbine inlet temperature must be increased. Therefore, the gas temperature inside the combustion chamber needs to be maintained at a very high level. Hence, cooling of the combustor liner becomes critical. Among all the cooling techniques, film cooling has been successfully applied to cool the combustor liner. In film cooling, coolant air is introduced through discrete holes and forms a thin film between the hot gases and the inner surface of the liner, so that the inner wall can be protected from o
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Shibahara, Makoto, Katsuya Fukuda, Qiusheng Liu, and Koichi Hata. "Critical Heat Flux for Convective Boiling in Mini-Tube due to Power Transient." In ASME 2017 Heat Transfer Summer Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/ht2017-5043.

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Critical heat flux (CHF) of convective boiling in a mini-tube due to power transient was measured. A platinum tube with an inner diameter of 1.0 mm was heated exponentially by a direct current power supply as Joule heating. The heated length of the platinum tube was 40.9 mm. The platinum tube was mounted vertically in the water-loop apparatus which consisted of a circulating pump, a pre-heater, a flow mater, a pressurizer, a cooler and a test section. The deionized water was pressurized by the pressurizer up to approximately 800 kPa to measure CHFs at the high subcooling. The upward flow veloc
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Archer, Antoine. "A Predictive Model for Cavitation Erosion Downstream Orifices." In ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/fedsm2002-31012.

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In order to improve pipes and valves maintenance in EDF power plants by the use of reliability analysis, some wear mechanisms have been listed and their wear kinetics have been investigated. One of these wear mechanisms is cavitation erosion. Cavitation may occur in numerous pipe components such as valves, orifices, elbows and tees, in any place where low pressure and/or high velocity is reached. The effects of cavitation developments are first noise and vibrations, then erosion of the downstream pipe if the material is not resistant enough and at least loss of performance of the component (ch
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Zhang, Chao, Terrence W. Simon, and Perry Y. Li. "Storage Power and Efficiency Analysis Based on CFD for Air Compressors Used for Compressed Air Energy Storage." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-88985.

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The compression process in a piston cylinder device in a Compressed Air Energy Storage (CAES) system is studied computationally. Twelve different cases featuring four different compression space length-to-radius aspect ratios and three different Reynolds numbers are studied computationally using the commercial CFD code ANSYS FLUENT. The solutions show that for compression with a constant velocity, the compression can be approximated by a polytropic pressure vs. volume relation. The polytropic exponent, n, characterizes the heat transfer and temperature rise of the air being compressed. For the
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Bifano, Michael F. P., and Vikas Prakash. "Thermal Properties of Nanotubes and Nanowires With Acoustically Stiffened Surfaces." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-65365.

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A core-shell elasticity model is employed to investigate the effect of a nanowire and nanotube’s increased surface moduli on specific heat, ballistic thermal conductance, and thermal conductivity as a function of temperature. Phonon confinement is analyzed using approximated phonon dispersion relations that result from solutions to the frequency equation of a vibrating rod and tube. The results indicate a maximum 10% decrease in lattice thermal conductivity and ballistic thermal conductance near 160 K for a 10 nm outer diameter nanotube with an inner diameter of 5 nm when the average Young’s M
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