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Статті в журналах з теми "Fanno flow"

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Автор: Grafiati

Опубліковано: 14 березня 2023

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1

Urata, Eizo. "A flow rate equation for subsonic Fanno flow." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227, no. 12 (March 13, 2013): 2724–29. http://dx.doi.org/10.1177/0954406213480295.

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Анотація:

The aim of this note is to obtain a flow rate equation for subsonic Fanno flow, which has a form similar to the flow rate equation for isothermal flow. When pipe dimensions and the proper values of pressures and temperatures at two sections along a pipe, namely P1, P2, T1 and T2 are given, the mass flow rate is obtained by simple substitution into the obtained formula. However, only three of the above four quantities are independently given, since the steady Fanno flow problem involves three first-order differential equations. Therefore, the problem has three degrees of freedom. The theory in this note shows an algebraic equation that determines the fourth quantity by using the given three quantities. The method for finding the mass flow rate and state variables of the gas in the pipe are substantially simplified compared with the commonly distributed method. The relative difference of mass flow rates between the subsonic Fanno and isothermal flows is smaller than 1% in practical combinations of P2 /P1 and the pipe-friction parameter fL/D.

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2

OCKENDON, H., J. R. OCKENDON, and S. A. E. G. FALLE. "The Fanno model for turbulent compressible flow." Journal of Fluid Mechanics 445 (October 16, 2001): 187–206. http://dx.doi.org/10.1017/s0022112001005584.

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The paper considers the derivation and properties of the Fanno model for nearly unidirectional turbulent flow of gas in a tube. The model is relevant to many industrial processes. Approximate solutions are derived and numerically validated for evolving flows of initially small amplitude, and these solutions reveal the prevalence of localized large-time behaviour, which is in contrast to inviscid acoustic theory. The properties of large-amplitude travelling waves are summarized, which are also surprising when compared to those of inviscid theory.

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3

Tanrıverdi, Tanfer, and John Bryce Mcleod. "The Fanno model for turbulent compressible flow." Journal of Differential Equations 249, no. 12 (December 2010): 2955–63. http://dx.doi.org/10.1016/j.jde.2010.08.007.

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4

Hoznedl, Michal, and Karel Gregor. "Numerical and Analytical Calculation of Flow During Steam Blowing." MATEC Web of Conferences 328 (2020): 02003. http://dx.doi.org/10.1051/matecconf/202032802003.

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Анотація:

In the paper results are described of numerical simulations of the flow during the steam blowing between the boiler drum and the outlet to the atmosphere. Numerical flow simulations are compared to the analytical approach that best describes the flow during the blowing, i.e. the Fanno flow. The proposed methodology of analytical calculation can be, with a reasonable deviation from reality, used in control of velocity and flow in the pipe outlet cross-section.

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5

NOVIKOVS, A., H. OCKENDON, and J. R. OCKENDON. "Numerical solutions of the unsteady Fanno model for compressible pipe flow." Journal of Fluid Mechanics 579 (May 2, 2007): 493–507. http://dx.doi.org/10.1017/s0022112007005605.

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Анотація:

This paper presents numerical results on the evolution of the solutions of the Fanno model for compressible pipe flow. The principal results concern the large-time behaviour when nonlinear effects are appreciable throughout the evolution. Our computations show that compression waves can be expected to evolve into travelling waves for large times whereas expansion waves cannot.

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6

Hastings, S. P., J. B. McLeod, and W. C. Troy. "Boundary-value problems in the Fanno model for turbulent compressible flow." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 132, no. 1 (February 2002): 121–40. http://dx.doi.org/10.1017/s0308210500001554.

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Анотація:

A recent paper of Ockendon et al. discusses the Fanno model for quasi-one-dimensional flow of gas in a tube, in situations where the flow is turbulent and the tube is long enough for wall drag to be important. Based on appropriate scalings and with associated boundary conditions they derive equations for similarity solutions and make predictions about travelling and evolving waves. In this paper the existence, uniqueness and asymptotic behaviour of these wave forms is proved rigorously. Techniques include shooting methods (both one- and two-parameter), appropriate changes of variables, and comparison techniques.

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7

Morishita, Etsuo. "Compressible Pipe Flow with Friction and Gravity." MATEC Web of Conferences 292 (2019): 03003. http://dx.doi.org/10.1051/matecconf/201929203003.

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Анотація:

A viscous one-dimensional compressible pipe flow under gravity effect is studied analytically. The compressible one-dimensional pipe flow with friction is called Fanno flow and the solution is given by analytical formula. In gas dynamics, the gravity effect is minimal and it is not included in the equations. However, it was shown by the present author that the elevation of a pipe could change the flow conditions in a one-dimensional compressible potential flow under gravity. The sonic condition is reached at the maximum height for an inviscid pipe flow. In this paper, the gravity effect is extended to the viscous one- dimensional pipe flow. Subsonic–supersonic transition is also possible by up and down of the pipe as in the inviscid flow, and it is found that the sonic condition deviates from the peak position of the pipe.

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8

Anthonyrajah, M., and DP Mason. "Conservation Laws and Invariant Solutions in the Fanno Model for Turbulent Compressible Flow." Mathematical and Computational Applications 15, no. 4 (December 1, 2010): 529–42. http://dx.doi.org/10.3390/mca15040529.

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9

TSUKUBA, Ryo, Mitsutomo KITAI, Takahiro YASUDA, and Yasunari TAKANO. "1020 Study of Fanno Flow in Fiber Tube of High-Tech Control Unit." Proceedings of Conference of Kansai Branch 2006.81 (2006): _10–20_. http://dx.doi.org/10.1299/jsmekansai.2006.81._10-20_.

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10

Gourdain, Nicolas, Jéromine Dumon, Yannick Bury, and Pascal Molton. "Transonic buffet of a space launcher aileron: Fanno and Rayleigh flows analogies." International Journal of Numerical Methods for Heat & Fluid Flow 32, no. 4 (October 18, 2021): 1255–80. http://dx.doi.org/10.1108/hff-07-2021-0506.

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Анотація:

Purpose The transonic buffet is a complex aerodynamics phenomenon that imposes severe constraints on the design of high-speed vehicles, including for aircraft and space launchers. The origin of buffet is still debated in the literature, and the control of this phenomenon remains difficult. This paper aims to propose an original scenario to explain the origin of buffet, which in turn opens promising perspectives for its alleviation and attenuation. Design/methodology/approach This work relies on the use of numerical simulations, with the idea to reproduce the buffet phenomenon in a transonic aileron designed for small space launchers. Two numerical approaches are tested: unsteady Reynolds averaged Navier–Stokes (URANS) and large-eddy simulation (LES). The numerical predictions are first validated against available experimental data, before to be analysed in detail to identify the origin of buffet on the studied configuration. A complementary numerical study is then conducted to assess the possibility to delay the onset of buffet. Findings The buffet control strategy is based on wall cooling. By adequately choosing the wall temperature, this work shows that it is feasible to delay the emergence of buffet. More precisely, this paper highlights the crucial role of the subsonic flow inside the boundary layer, showing the existence of upstream travelling pressure waves that are responsible for the flow coupling between both sides of the airfoil, at the origin of the buffet phenomenon. Originality/value This paper proposes a new scenario to explain the origin of buffet, based on the use of a Fanno and Rayleigh flow analogies. This approach is used to design a control solution based on a modification of the wall temperature, showing very promising results.

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11

Chan, S. K., and W. A. Woods. "On Rayleigh and Fanno flows of homogeneous equilibrium two-phase fluids." International Journal of Heat and Fluid Flow 13, no. 3 (September 1992): 273–81. http://dx.doi.org/10.1016/0142-727x(92)90041-7.

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12

Ha, T. W., and Dara W. Childs. "Friction-Factor Data for Flat-Plate Tests of Smooth and Honeycomb Surfaces." Journal of Tribology 114, no. 4 (October 1, 1992): 722–29. http://dx.doi.org/10.1115/1.2920941.

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Friction-factors for honeycomb surfaces are measured with a flat plate tester. The flat plate test apparatus is described and a method is discussed for determining the friction-factor experimentally. The friction-factor model is developed for the flat plate test based on the Fanno Line Flow. The comparisons of the friction-factor are plotted for smooth surface and twelve-honeycomb surfaces with three-clearances, 6.9 bar to 17.9 bar range of inlet pressure, and 5,000 to 130,000 range of the Reynolds number. The optimum geometries for the maximum friction-factor are found as a function of cell width to cell depth and clearance to cell width ratios.

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13

Sundermeier, Stephan, Maximilian Passmann, Stefan aus der aus der Wiesche, and Eugeny Y. Kenig. "Flow in Pillow-Plate Channels for High-Speed Turbomachinery Heat Exchangers." International Journal of Turbomachinery, Propulsion and Power 7, no. 2 (March 22, 2022): 12. http://dx.doi.org/10.3390/ijtpp7020012.

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Анотація:

In numerous turbomachinery applications, e.g., in aero-engines with regenerators for improving specific fuel consumption (SFC), heat exchangers with low-pressure loss are required. Pil low-plate heat exchangers (PPHE) are a novel exchanger type and promising candidates for high-speed flow applications due to their smooth profiles avoiding blunt obstacles in the flow path. This work deals with the overall system behavior and gas dynamics of pillow-plate channels. A pillow-plate channel was placed in the test section of a blow-down wind tunnel working with dry air, and compressible flow phenomena were investigated utilizing conventional and focusing schlieren optics; furthermore, static and total pressure measurements were performed. The experiments supported the assumption that the system behavior can be described through a Fanno–Rayleigh flow model. Since only wavy walls with smooth profiles were involved, linearized gas dynamics was able to cover important flow features within the channel. The effects of the wavy wall structures on pressure drop and Mach number distribution within the flow path were investigated, and a good qualitative agreement with theoretical and numerical predictions was found. The present analysis demonstrates that pressure losses in pillow-plate heat exchangers are rather low, although their strong turbulent mixing enables high convective heat transfer coefficients.

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14

Kumar, N. Satheesh, and Kim Tiow Ooi. "One dimensional model of an ejector with special attention to Fanno flow within the mixing chamber." Applied Thermal Engineering 65, no. 1-2 (April 2014): 226–35. http://dx.doi.org/10.1016/j.applthermaleng.2013.12.055.

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15

Rehman, Danish, Gian Morini, and Chungpyo Hong. "A Comparison of Data Reduction Methods for Average Friction Factor Calculation of Adiabatic Gas Flows in Microchannels." Micromachines 10, no. 3 (February 28, 2019): 171. http://dx.doi.org/10.3390/mi10030171.

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Анотація:

In this paper, a combined numerical and experimental approach for the estimation of the average friction factor along adiabatic microchannels with compressible gas flows is presented. Pressure-drop experiments are performed for a rectangular microchannel with a hydraulic diameter of 295 μ m by varying Reynolds number up to 17,000. In parallel, the calculation of friction factor has been repeated numerically and results are compared with the experimental work. The validated numerical model was also used to gain an insight of flow physics by varying the aspect ratio and hydraulic diameter of rectangular microchannels with respect to the channel tested experimentally. This was done with an aim of verifying the role of minor loss coefficients for the estimation of the average friction factor. To have laminar, transitional, and turbulent regimes captured, numerical analysis has been performed by varying Reynolds number from 200 to 20,000. Comparison of numerically and experimentally calculated gas flow characteristics has shown that adiabatic wall treatment (Fanno flow) results in better agreement of average friction factor values with conventional theory than the isothermal treatment of gas along the microchannel. The use of a constant value for minor loss coefficients available in the literature is not recommended for microflows as they change from one assembly to the other and their accurate estimation for compressible flows requires a coupling of numerical analysis with experimental data reduction. Results presented in this work demonstrate how an adiabatic wall treatment along the length of the channel coupled with the assumption of an isentropic flow from manifold to microchannel inlet results in a self-sustained experimental data reduction method for the accurate estimation of friction factor values even in presence of significant compressibility effects. Results also demonstrate that both the assumption of perfect expansion and consequently wrong estimation of average temperature between inlet and outlet of a microchannel can be responsible for an apparent increase in experimental average friction factor in choked flow regime.

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16

Sanal Kumar, V. R., Vigneshwaran Sankar, Nichith Chandrasekaran, Vignesh Saravanan, Ajith Sukumaran, Vigneshwaran Rajendran, Shiv Kumar Choudhary, et al. "Universal benchmark data of the three-dimensional boundary layer blockage and average friction coefficient for in silico code verification." Physics of Fluids 34, no. 4 (April 2022): 041301. http://dx.doi.org/10.1063/5.0086638.

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The first law of thermodynamics reveals that all fluids are compressible, and the second law of thermodynamics entails all fluids to have positive viscosity. These established laws reaffirm the possibilities of the occurrence of Sanal flow choking in yocto to yotta scale systems and beyond [Kumar et al., “Discovery of nanoscale Sanal flow choking in cardiovascular system: Exact prediction of the 3D boundary-layer-blockage factor in nanotubes,” Sci. Rep. 11, 15429 (2021); “Sanal flow choking: A paradigm shift in computational fluid dynamics code verification and diagnosing detonation and hemorrhage in real-world fluid-flow systems,” Global Challenges 4, 2000012 (2020)]. The Sanal flow choking occurs in the real-world flows at a critical total-to-static pressure ratio [Kumar et al., “Abstract P422: Sanal flow choking leads to hemorrhagic stroke and other neurological disorders in earth and human spaceflight,” Circul. Res. 129(1), AP422 (2021)]. At the Sanal flow choking condition, the Rayleigh-flow-effect (thermal choking) and the Fanno-flow-effect (choking due to frictional effects) unite at a unique site of the sonic-fluid-throat. In this article, the two-dimensional (2D) and the three-dimensional (3D) boundary-layer-blockage factors and average friction coefficient are generated for different working fluids passing through a cylindrical port, at the Sanal flow choking condition, as universal benchmark data for a credible verification of in silico codes for both adiabatic and diabatic flows. The outlook, advancement, and significance of the analytical methodology, invoked for developing Sanal flow choking model using well-posed initial conditions, for generating the universal benchmark data for computational fluid dynamics code verification are critically reviewed herein. The closed-form analytical models presented herein for predicting the 2D and the 3D boundary-layer-blockage factors at the sonic-fluid-throat of adiabatic and diabatic flows and average friction coefficient in a circular duct at the Sanal flow choking condition are fabulously unaffected with any errors due to discretization and fully freed from empiricism for a credible decision making on various high fidelity numerical simulations. The Sanal flow choking model offers the luxury to the scientific community for solving numerous unresolved problems in boundary layer theory. It provides universal benchmark data for various applications irrespective of the laminar/turbulence flow features in wall-bounded compressible viscous flow systems. The 2D and 3D in silico simulation results are presented for demonstrating conclusively the possibilities of the occurrence of the Sanal flow choking and streamtube flow choking [Kumar et al., “The theoretical prediction of the boundary layer blockage and external flow choking at moving aircraft in ground effects,” Phys. Fluids 33(3), 036108 (2021).] in internal and external flows. The phenomenological manifestation of the flow choking phenomenon reported herein extends disruptive technologies at the cutting-edge to solve century-long unresolved scientific problems in physics of fluids with credibility.

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17

Manrique Negrín, David Azael, Alejandro Zacarías Santiago, Orlando Guarneros García, José de Jesús Rubio Ávila, Jaime Pacheco Martínez, and Alicia Flores Vasconcelos. "Performance parameters assessment of a pneumatic engine for low capacity commercial vehicles." Ingeniería Investigación y Tecnología 23, no. 3 (July 1, 2022): 1–13. http://dx.doi.org/10.22201/fi.25940732e.2022.23.3.021.

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Анотація:

In the present work, the performance evaluation of a low capacity pneumatic engine is shown, through modeling and simulation in order to identify the feasibility of its application in commercial vehicles for short distances. For the modeling of the pneumatic engine, a comprehensive approach has been used that includes the compressed air supply pipe, the cylinder compression - expansion chamber, and the intake and exhaust valves. The compressed air supply system is modeled using compressible fluid flow models. The fluid flow is considered adiabatic represented by the model known as Fanno flow (or non-isentropic) and it is assumed to be in a steady state. The flow in the opening and exhaust valves are evaluated as adiabatic and isentropic fluid, using a divergent - convergent compressible fluid model. The simulation results show that the feeding pressure and the pipe diameter have a great influence on the motor power. Also, the compression ratio has been found to have strong influence on the overall system efficiency. On the other hand, the simulations show that the initial pressure of the piston does not have a great influence on performance indicators, such as power or efficiency. However, from the results found in this work, it can be seen that the model and all the results obtained in this work can be used to design and generate an optimization model that describes a pneumatic engine proposed for commercial vehicles of low capacity and short distances.

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18

Verbanck, Sylvia, Yannick Kerckx, Daniel Schuermans, Claire de Bisschop, Hervé Guénard, Robert Naeije, Walter Vincken, and Alain Van Muylem. "The effect of posture-induced changes in peripheral nitric oxide uptake on exhaled nitric oxide." Journal of Applied Physiology 106, no. 5 (May 2009): 1494–98. http://dx.doi.org/10.1152/japplphysiol.91641.2008.

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Airway and alveolar NO contributions to exhaled NO are being extracted from exhaled NO measurements performed at different flow rates. To test the robustness of this method and the validity of the underlying model, we deliberately induced a change in NO uptake in the peripheral lung compartment by changing body posture between supine and prone. In 10 normal subjects, we measured exhaled NO at target flows ranging from 50 to 350 ml/s in supine and prone postures. Using two common methods, bronchial NO production [Jaw(NO)] and alveolar NO concentration (FANO) were extracted from exhaled NO concentration vs. flow or flow−1 curves. There was no significant Jaw(NO) difference between prone and supine but a significant FANO decrease from prone to supine ranging from 23 to 33% depending on the method used. Total lung capacity was 7% smaller supine than prone ( P = 0.03). Besides this purely volumetric effect, which would tend to increase FANO from prone to supine, the observed degree of FANO decrease from prone to supine suggests a greater opposing effect that could be explained by the increased lung capillary blood volume (Vc) supine vs. prone ( P = 0.002) observed in another set of 11 normal subjects. Taken together with the relative changes of NO and CO transfer factors, this Vc change can be attributed mainly to pulmonary capillary recruitment from prone to supine. Realistic models for exhaled NO simulation should include the possibility that a portion of the pulmonary capillary bed is unavailable for NO uptake, with a maximum capacity of the pulmonary capillary bed in the supine posture.

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19

Berman, Robert J., Sebastien Boucksom, Philippe Eyssidieux, Vincent Guedj, and Ahmed Zeriahi. "Kähler–Einstein metrics and the Kähler–Ricci flow on log Fano varieties." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 751 (June 1, 2019): 27–89. http://dx.doi.org/10.1515/crelle-2016-0033.

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AbstractWe prove the existence and uniqueness of Kähler–Einstein metrics on {{\mathbb{Q}}}-Fano varieties with log terminal singularities (and more generally on log Fano pairs) whose Mabuchi functional is proper. We study analogues of the works of Perelman on the convergence of the normalized Kähler–Ricci flow, and of Keller, Rubinstein on its discrete version, Ricci iteration. In the special case of (non-singular) Fano manifolds, our results on Ricci iteration yield smooth convergence without any additional condition, improving on previous results. Our result for the Kähler–Ricci flow provides weak convergence independently of Perelman’s celebrated estimates.

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20

Jin, Ligang, Giuseppe Mazzuoccolo, and Eckhard Steffen. "Cores, joins and the Fano-flow conjectures." Discussiones Mathematicae Graph Theory 38, no. 1 (2018): 165. http://dx.doi.org/10.7151/dmgt.1999.

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21

Tosatti, Valentino. "Kähler-Ricci flow on stable Fano manifolds." Journal für die reine und angewandte Mathematik (Crelles Journal) 2010, no. 640 (January 2010): 67–84. http://dx.doi.org/10.1515/crelle.2010.019.

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22

Chen, Xiuxiong, and Weiyong He. "The Calabi flow on toric Fano Surfaces." Mathematical Research Letters 17, no. 2 (2010): 231–41. http://dx.doi.org/10.4310/mrl.2010.v17.n2.a3.

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23

Fu, Xin, and Shijin Zhang. "The Kähler–Ricci flow on Fano bundles." Mathematische Zeitschrift 286, no. 3-4 (March 22, 2017): 1605–26. http://dx.doi.org/10.1007/s00209-017-1881-4.

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24

Kerckx, Yannick, Alain Michils, and Alain Van Muylem. "Airway contribution to alveolar nitric oxide in healthy subjects and stable asthma patients." Journal of Applied Physiology 104, no. 4 (April 2008): 918–24. http://dx.doi.org/10.1152/japplphysiol.01032.2007.

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Анотація:

Alveolar nitric oxide (NO) concentration (FaNO), increasingly considered in asthma, is currently interpreted as a reflection of NO production in the alveoli. Recent modeling studies showed that axial molecular diffusion brings NO molecules from the airways back into the alveolar compartment during exhalation (backdiffusion) and contributes to FaNO. Our objectives in this study were 1) to simulate the impact of backdiffusion on FaNO and to estimate the alveolar concentration actually due to in situ production (FaNO,prod); and 2) to determine actual alveolar production in stable asthma patients with a broad range of NO bronchial productions. A model incorporating convection and diffusion transport and NO sources was used to simulate FaNO and exhaled NO concentration at 50 ml/s expired flow (FeNO) for a range of alveolar and bronchial NO productions. FaNO and FeNO were measured in 10 healthy subjects (8 men; age 38 ± 14 yr) and in 21 asthma patients with stable asthma [16 men; age 33 ± 13 yr; forced expiratory volume during 1 s (FEV1) = 98.0 ± 11.9%predicted]. The Asthma Control Questionnaire (Juniper EF, Buist AS, Cox FM, Ferrie PJ, King DR. Chest 115: 1265–1270, 1999) assessed asthma control. Simulations predict that, because of backdiffusion, FaNO and FeNO are linearly related. Experimental results confirm this relationship. FaNO,prod may be derived by FaNO,prod = (FaNO − 0.08·FeNO)/0.92 ( Eq. 1 ). Based on Eq. 1 , FaNO,prod is similar in asthma patients and in healthy subjects. In conclusion, the backdiffusion mechanism is an important determinant of NO alveolar concentration. In stable and unobstructed asthma patients, even with increased bronchial NO production, alveolar production is normal when appropriately corrected for backdiffusion.

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25

Khanikaev, Alexander B., Chihhui Wu, and Gennady Shvets. "Fano-resonant metamaterials and their applications." Nanophotonics 2, no. 4 (October 1, 2013): 247–64. http://dx.doi.org/10.1515/nanoph-2013-0009.

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AbstractNew developments in the field of Fano-resonant plasmonic metamaterials are reviewed. The emphasis is on the applications of such artificial electromagnetic materials to a variety of technologically important areas: solar energy harvesting and conversion, sensing/identification of ultra-small molecular contents, and extreme molding of the flow of light. Most recent theoretical tools for describing Fano-resonant metamaterials are reviewed. Both fully three-dimensional metamaterials and planar meta-surfaces are discussed, and their future prospects for applications are critically evaluated.

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26

Chen, Xiuxiong, and Bing Wang. "The Kähler Ricci flow on Fano manifolds (I)." Journal of the European Mathematical Society 14, no. 6 (2012): 2001–38. http://dx.doi.org/10.4171/jems/353.

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27

Guo, Bin, Duong H. Phong, and Jacob Sturm. "On the Kähler–Ricci flow on Fano manifolds." Pure and Applied Mathematics Quarterly 18, no. 2 (2022): 573–81. http://dx.doi.org/10.4310/pamq.2022.v18.n2.a9.

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28

Chen, Xiuxiong, and Bing Wang. "The Kähler Ricci flow on Fano surfaces (I)." Mathematische Zeitschrift 270, no. 1-2 (November 27, 2010): 577–87. http://dx.doi.org/10.1007/s00209-010-0813-3.

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29

Callaghan, P. T., and Y. Xia. "Nuclear magnetic resonance imaging and velocimetry of Fano flow." Journal of Physics: Condensed Matter 16, no. 23 (May 29, 2004): 4177–92. http://dx.doi.org/10.1088/0953-8984/16/23/032.

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30

Zhu, Xiaohua. "Stability of Kähler-Ricci flow on a Fano manifold." Mathematische Annalen 356, no. 4 (December 14, 2012): 1425–54. http://dx.doi.org/10.1007/s00208-012-0889-7.

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31

GUAN, DANIEL ZHUANG-DAN. "QUASI-EINSTEIN METRICS." International Journal of Mathematics 06, no. 03 (June 1995): 371–79. http://dx.doi.org/10.1142/s0129167x95000110.

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Motivated by Koiso’s work on quasi-Einstein metrics on Fano manifolds, we define (generalized) quasi-Einstein metrics in any Kähler class on any compact complex manifold. It turns out that these metrics are similar to Calabi’s Extremal metrics. Moreover their existence might be studied by a curvature flow in a given Kähler class.

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32

HEIN, STEFAN, WERNER KOCH, and LOTHAR NANNEN. "Fano resonances in acoustics." Journal of Fluid Mechanics 664 (October 26, 2010): 238–64. http://dx.doi.org/10.1017/s0022112010003757.

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Анотація:

In contrast to completely open systems, laterally confined domains can sustain localized, truly trapped modes with nominally zero radiation loss. These discrete resonant modes cannot be excited linearly by the continuous propagating duct modes due to symmetry constraints. If the symmetry of the geometry is broken the trapped modes become highly localized quasi-trapped modes which can interfere with the propagating duct modes. The resulting narrowband Fano resonances with resonance and antiresonance features are a generic phenomenon in all scattering problems with multiple resonant pathways. This paper deals with the classical scattering of acoustic waves by various obstacles such as hard-walled single and multiple circular cylinders or rectangular and wedge-like screens in a two-dimensional duct without mean flow. The transmission and reflection coefficients as well as the (complex) resonances are computed numerically by means of the finite-element method in conjunction with two different absorbing boundary conditions, namely the complex scaling method and the Hardy space method. The results exhibit the typical asymmetric Fano line shapes near the trapped-mode resonances if the symmetry of the geometry is broken.

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33

Huang, Hong. "Kähler–Ricci flow on homogeneous toric bundles." International Journal of Mathematics 31, no. 03 (February 18, 2020): 2050022. http://dx.doi.org/10.1142/s0129167x20500226.

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Assume that [Formula: see text] is a homogeneous toric bundle of the form [Formula: see text] and is Fano, where [Formula: see text] is a compact semisimple Lie group with complexification [Formula: see text], [Formula: see text] a parabolic subgroup of [Formula: see text], [Formula: see text] is a surjective homomorphism from [Formula: see text] to the algebraic torus [Formula: see text], and [Formula: see text] is a compact toric manifold of complex dimension [Formula: see text]. In this note, we show that the normalized Kähler–Ricci flow on [Formula: see text] with a [Formula: see text]-invariant initial Kähler form in [Formula: see text] converges, modulo the algebraic torus action, to a Kähler–Ricci soliton. This extends a previous work of Zhu. As a consequence, we recover a result of Podestà–Spiro.

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34

Shen, Xi Sisi. "The Kähler-Ricci flow, holomorphic vector fields and Fano bundles." Transactions of the American Mathematical Society 374, no. 09 (June 23, 2021): 6751–68. http://dx.doi.org/10.1090/tran/8441.

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35

Tian, Gang, Shijin Zhang, Zhenlei Zhang, and Xiaohua Zhu. "Perelman’s entropy and Kähler-Ricci flow on a Fano manifold." Transactions of the American Mathematical Society 365, no. 12 (August 15, 2013): 6669–95. http://dx.doi.org/10.1090/s0002-9947-2013-06027-8.

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36

Zhang, Zhenlei. "Kähler Ricci Flow on Fano Manifolds with Vanished Futaki Invariants." Mathematical Research Letters 18, no. 5 (2011): 969–82. http://dx.doi.org/10.4310/mrl.2011.v18.n5.a14.

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37

Pali, Nefton. "Characterization of Einstein-Fano manifolds via the K\"ahler-Ricci flow." Indiana University Mathematics Journal 57, no. 7 (2008): 3241–74. http://dx.doi.org/10.1512/iumj.2008.57.3426.

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38

Chou, Shih-Wei, John M. Hong, Bo-Chih Huang, and Reyna Quita. "Global bounded variation solutions describing Fanno–Rayleigh fluid flows in nozzles." Mathematical Models and Methods in Applied Sciences 28, no. 06 (May 21, 2018): 1135–69. http://dx.doi.org/10.1142/s0218202518500306.

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In this paper, we investigate the initial-boundary value problem of compressible Euler equations including friction and heating that model the transonic Fanno–Rayleigh flows through symmetric variable area nozzles. In particular, the case of contracting nozzles is considered. A new version of a generalized Glimm scheme (GGS) is presented for establishing the global existence of entropy solutions with bounded variation. Modified Riemann and boundary Riemann solutions are applied to design this GGS, which is constructed using the contraction matrices acting on the homogeneous Riemann (or boundary-Riemann) solutions. The extended Glimm–Goodman’s type of wave interaction estimates are investigated to determine the stability of the scheme and the positivity of gas velocity that results in the existence of the weak solution. The limit of approximation solutions serves as an entropy solution. Moreover, a quantitative relation between the shape of the nozzle, friction, and heat is proposed for the global existence result in the contracting nozzle. Numerical simulations of the contraction-expansion and expansion-contraction nozzles are presented to validate the scheme.

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39

Jo, Subin, Min-Gyu Bae, and Joong-Wook Lee. "Controllable Fano-like Resonance in Terahertz Planar Meta-Rotamers." Applied Sciences 11, no. 21 (October 20, 2021): 9796. http://dx.doi.org/10.3390/app11219796.

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Meta-molecules composed of meta-atoms exhibit various electromagnetic phenomena owing to the interaction among the resonance modes of the meta-atoms. In this study, we numerically investigated Fano-like-resonant planar metamaterials composed of meta-molecules at terahertz (THz) frequencies. We present meta-rotamers based only on the difference in the spatial position of their component meta-atoms (C- and Y-shapes) that can be interconverted by rotations and have tunable Fano-like resonance. This is because of the cooperative effects determined by the spatial coupling conditions of the nodes and antinodes of electric-dipole and inductive–capacitive (LC) resonances of the meta-atoms. The findings of this study provide potential options for exploring novel THz devices and for engineering high-level functionalities in metamaterial-based devices.

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40

Ghannam, Mamdouh T., and Mohamed Y. E. Selim. "Rheological Properties of the Jojoba Biofuel." Sustainability 13, no. 11 (May 27, 2021): 6047. http://dx.doi.org/10.3390/su13116047.

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Jojoba oil biofuel is a potential alternative to diesel fuel with attractive properties, but its flow behavior under the operating conditions of a diesel engine still needs to be clarified. In this study, the rheological properties of the jojoba biofuel are presented in assessment with diesel fuel to experimentally evaluate both their flow behaviors at different operating temperatures. A Fann-type coaxial cylinder viscometer was employed. The shear stress of the tested biofuel rises considerably with the shear rate in a marginally nonlinear manner on a logarithmic scale. Rheograms indicate that the flow behavior decreases gradually and considerably in the temperature range of 30–90 °C. The viscosity of the jojoba oil biofuel declines considerably with the decreasing applied shear rate and temperature. Based on the experimental results, a suitable model is developed for predicting the viscosity characteristics of the tested biofuel during the heating and cooling cycles of a diesel engine.

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41

Jiang, Quanyuan, Xiaopeng Wang, Yanhui Xi, Weikang Huang, and Tianning Chen. "Broadband ventilated metamaterial silencer for high reflection based on Fano-like interference." International Journal of Modern Physics B 35, no. 06 (February 25, 2021): 2150087. http://dx.doi.org/10.1142/s0217979221500879.

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Conventional sound shielding structures is difficult to meet the requirements of low-to-middle frequency broadband sound insulation and free ventilation. In this paper, we propose a ventilated metamaterial silencer based on Fano-like interference, which can achieve the sound transmission loss (STL) of more than 10 dB in the range of 516–970 Hz with subwavelength thickness (0.11 [Formula: see text]) while remains an opening area ratio of 23%. The designed silencer is composed of a large central orifice and four surrounding coiling channels, making the sound waves passing through the two areas generate Fano-like asymmetric transmission spectrum and form efficient reflection to insulate sound coming from various directions. The parametric studies are also carried out to investigate the tunable acoustic performance. Experiment measurement matches well with the simulation results. In the future, the proposed silencer may have potential applications in practical environments requiring broadband sound insulation and free air flows.

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42

Lee, Jonghwan. "Unified Model of Shot Noise in the Tunneling Current in Sub-10 nm MOSFETs." Nanomaterials 11, no. 10 (October 18, 2021): 2759. http://dx.doi.org/10.3390/nano11102759.

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A single unified analytical model is presented to predict the shot noise for both the source-to-drain (SD) and the gate tunneling current in sub-10 nm MOSFETs with ultrathin oxide. Based on the Landauer formula, the model is constructed from the sequential tunneling flows associated with number fluctuations. This approach provides the analytical formulation of the shot noise as a function of the applied voltages. The model performs well in predicting the Fano factor for shot noise in the SD and gate tunneling currents.

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43

Zheng, Lixing, Weibo Wang, Yiyan Zhang, Lingmei Wang, and Wei Lu. "Optimization Analysis of the Mixing Chamber and Diffuser of Ejector Based on Fano Flow Model." Computer Modeling in Engineering & Sciences 133, no. 1 (2022): 153–70. http://dx.doi.org/10.32604/cmes.2022.021235.

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44

Sano, Yuji. "Multiplier ideal sheaves and the Kähler–Ricci flow on toric Fano manifolds with large symmetry." Communications in Analysis and Geometry 20, no. 2 (2012): 341–68. http://dx.doi.org/10.4310/cag.2012.v20.n2.a5.

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45

Gueddida, Abdellatif, Yan Pennec, Ana Luiza Silveira Fiates, Michael Johannes Vellekoop, Bernard Bonello, and Bahram Djafari-Rouhani. "Acoustic Sensor Based on a Cylindrical Resonator for Monitoring a Liquid Flow." Crystals 12, no. 10 (October 2, 2022): 1398. http://dx.doi.org/10.3390/cryst12101398.

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We present a numerical investigation of an acoustic sensor based on a cylindrical resonator to monitor the acoustic properties of liquids flowing in a tube. The sensor design consists of a hollow cylindrical washer surrounding the tube, which carries the liquid, and which can be filled during the sensing process. Due to the impedance mismatch between the liquid and the solid washer, we demonstrate the presence of high-quality factor resonances associated with the acoustic properties of the liquid (such as velocity, density, or viscosity) appearing as sharp spectral features in the transmission and detection measurements. An appropriate choice of geometrical parameters allows either to obtain two distinct resonances associated with the liquid and the surrounding washer or to overlap the narrow resonance of the liquid with the broad resonance of the washer and achieve a Fano-type resonance from their interaction. The sensitivity of the resonances to the acoustic properties of the liquid are investigated as a function of the geometrical parameters. We show that for highly viscous fluids, the vanishing of very narrow peaks can be avoided by increasing the thickness of the washer and, therefore, decreasing the quality factors. The calculations are performed in the framework of a finite element method. Our design provides a promising platform for sensing several acoustic characteristics of liquids flowing in tubes.

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46

Minin, Igor V., and Oleg V. Minin. "Mesotronics: Some New, Unusual Optical Effects." Photonics 9, no. 10 (October 12, 2022): 762. http://dx.doi.org/10.3390/photonics9100762.

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Анотація:

The recently emerged field of Mesotronics provides novel opportunities for subwavelength magnetic and field localization and giant enhancement by mesoscale dielectric particles and structures from low-index to high-index materials, supported by novel optical phenomena. In this case, two regions: non-resonant and resonant, can be distinguished. In this short review, which is a direct continuation of our recently published study, we continue to present the authors’ point of view on some new optical effects in dielectric mesotronics. Among them are anomalous apodization effect in phase mesoscale gratings, new effects on high order Fano-resonances and extreme effects in field localization, mesoscale particle-based super-resolution and high-speed communications, photonic hook-based high-contrast subwavelength imaging, and reverse optical energy flow in a perforated resonant spherical particle.

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47

Chesi, Giovanni, Alessia Allevi, and Maria Bondani. "Conditional Measurements with Silicon Photomultipliers." Applied Sciences 11, no. 10 (May 17, 2021): 4579. http://dx.doi.org/10.3390/app11104579.

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Nonclassical states of light can be efficiently generated by performing conditional measurements. An experimental setup including Silicon Photomultipliers can currently be implemented for this purpose. However, these devices are affected by correlated noise, the optical cross talk in the first place. Here we explore the effects of cross talk on the conditional states by suitably expanding our existing model for conditional measurements with photon-number-resolving detectors. We assess the nonclassicality of the conditional states by evaluating the Fano factor and provide experimental evidence to support our results.

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48

Uttama, Choedphong. "“[T]hat Monstrous Machine of his”: The Machine Metaphor in John Cleland’s Memoir of a Woman of Pleasure." MANUSYA: Journal of Humanities 24, no. 1 (June 14, 2021): 53–67. http://dx.doi.org/10.1163/26659077-02401001.

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Abstract John Cleland’s Memoir of a Woman of Pleasure (1748–49), commonly known as Fanny Hill, is regarded as the first pornographic novel in English literature. Its description of sexual activities is explicit but its language is not coarse. It employs a wide range of metaphors to refer to both sexual acts and genitalia and the metaphor used most frequently to refer to the penis is “the machine.” The machine metaphor will be the focus of this paper, which aims to argue that the machine metaphor carries two meanings. The first is the machine as one of military metaphors common in erotica since sexual acts have long been represented as battles. Female sexual pleasure, portrayed in this novel, depends on the state of being destroyed or conquered by a large machine. The second usage of the military metaphor suggests the strong affiliation between the penis and a hydraulic machine – the hydraulic penis—as this paper will call it. That is, female sexual pleasure is not only entwined with the state of being ruined but also with a fluid flow.

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49

Longoni Torti, Bruno. "Las letras de Pascual Contursi en la consolidación formal del tango." La Palabra, no. 42 (August 25, 2022): 1–14. http://dx.doi.org/10.19053/01218530.n42.2022.14400.

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Анотація:

Los estudios en tango han erigido a Pascual Contursi (1888-1932) a la condición de fundador del tango-canción y sus dos situaciones axiales, amuros y milonguitas, encarnados respectivamente en “Mi noche triste” y “Flor de fango”. Sin embargo, una revisión estilística de sus tangos pone de relieve el crucial aporte de Contursi a los principios de simetría contrastiva y condensación que consolidaron la estructura del tango en sus diversas expresiones artísticas. En lo formal, el afianzamiento de versos isométricos aunados por la rima aguda, la tensión entre la descripción estática y la narración dinámica, la ambientación minimalista, el dialogismo teatral del apóstrofe, contrapunto entre el yo y tú líricos, así como el sistemático empleo del lunfardo cuya adopción entraña, de suyo, una oposición a la variedad estándar de la lengua. Hallazgos semejantes contribuyen a recalibrar la impronta contursiana de poeta ingenuo y esquemático.

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50

Liu, Wenyao, Wei Li, Chenxi Liu, Enbo Xing, Yanru Zhou, Lai Liu, Yunbo Shi, and Jun Tang. "All-Optical Tuning of Fano Resonance Quasi-BIC and Terahertz Sensing Applications." Applied Sciences 12, no. 9 (April 21, 2022): 4207. http://dx.doi.org/10.3390/app12094207.

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Анотація:

The bound states in the continuum (BIC) support anomalous resonances in the optical or terahertz band with a theoretically infinite quality factor. Therefore, it has great application prospects in the field of sensors. However, the current regulation of BIC mainly relies on the asymmetry of the material structure, which requires high processing technology. The structure can hardly be effectively adjusted once it is formed. In this work, we propose a new metasurface consisting of an array rectangular hole structure combined with aluminum and photosensitive silicon, which supports quasi-BIC to achieve ultrasensitive sensing in the terahertz range. By introducing photosensitive silicon, the asymmetry of the structure is efficiently controlled by the light field, thus realizing the bidirectional continuous control from quasi-BIC to BIC-like states. Through the optimization of the structure, a class of highly sensitive terahertz sensing based on optical tuning is finally proposed. The narrow-band quasi-BIC resonance is sensitive to medium thickness and refractive index, and compared with pure metal structure, the sensitivity and dynamic range can be increased by 2.60 times and 2.63 times, respectively. Due to the high slope of the Fano lineshape, sensitivity can reach 9.41GHz/RIU and 0.65 GHz/μm, respectively. Furthermore, this feasible and practical structure provides an ideal platform for highly sensitive sensing.

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