Relevant bibliographies by topics / Fanno flow

Academic literature on the topic 'Fanno flow'

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Published: 14 March 2023

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Journal articles on the topic "Fanno flow"

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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Fanno flow"

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Nelson, Lauren May. "Rayleigh Flow of Two-Phase Nitrous Oxide as a Hybrid Rocket Nozzle Coolant." DigitalCommons@CalPoly, 2009. https://digitalcommons.calpoly.edu/theses/284.

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The Mechanical Engineering Department at California Polytechnic State University in San Luis Obispo currently maintains a lab-scale hybrid rocket motor for which nitrous oxide is utilized as the oxidizer in the combustion system. Because of its availability, the same two-phase (gas and liquid) nitrous oxide that is used in the combustion system is also routed around the throat of the hybrid rocket’s converging-diverging nozzle as a coolant. While this coolant system has proven effective empirically in previous tests, the physics behind the flow of the two-phase mixture is largely unexplained. This thesis provides a method for predicting some of its behavior by modeling it using the classic gas dynamics scenarios of Rayleigh and Fanno flows which refer to one-dimensional, compressible, inviscid flow in a constant area duct with heat addition and friction. The two-phase model produced utilizes a separated phase with interface exchange model for predicting whether or not dryout occurs. The Shah correlation is used to predict heat transfer coefficients in the nucleate boiling regime. The homogeneous flow model is utilized to predict pressure drop. It is proposed that a Dittus-Boelter based correlation much like that of Groeneveld be developed for modeling heat transfer coefficients upon the collection of sufficient data. Data was collected from a series of tests on the hybrid rocket nozzle to validate this model. The tests were first run for the simplified case of an ideal gas (helium) coolant to verify the experimental setup and promote confidence in subsequent two-phase experimental results. The results of these tests showed good agreement with a combined Rayleigh-Fanno model with a few exceptions including: (1) reduced experimental gas pressure and temperature in the annulus entrance and exit regions compared to the model and (2) reduced experimentally measured copper temperatures uniformly through the annulus. These discrepancies are likely explained by the geometry of the flowpath and location of the copper thermocouples respectively. Next, a series of two-phase cooled experiments were run. Similar trends were seen to the helium experiment with regards to entrance and exit regions. The two-phase Rayleigh homogeneous flow model underpredicted pressure drop presumably due to the inviscid assumption. Ambiguity was observed in the fluid temperature measurements but the trend seemed to suggest that mild thermal non-equilibrium existed. In both cases, the dryout model predicted that mist flow (a post-CHF regime) occurred over most of the annulus. Several modifications should be implemented in future endeavors. These include: (1) collecting more data to produce a heat transfer coefficient correlation specific to the nitrous oxide system of interest, (2) accounting for thermal non-equilibrium, (3) accounting for entrance and exit effects, and (4) developing a two-phase Fanno model.
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Books on the topic "Fanno flow"

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Consolidated gas dynamics tables: Data for isentropic, rayleigh, and Fanno flow, and normal shock waves. Belmont, CA: Professional Publications, 1988.

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2

McCarthy, Kathleen A. Phosphorus and E. coli in the Fanno and Bronson Creek subbasins of the Tualatin River basin, Oregon, during summer low-flow conditions, 1996. Portland, Or: U.S. Dept. of the Interior, U.S. Geological Survey, 2000.

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McCarthy, Kathleen A. Phosphorus and E. coli in the Fanno and Bronson Creek subbasins of the Tualatin River basin, Oregon, during summer low-flow conditions, 1996. Portland, Or: U.S. Dept. of the Interior, U.S. Geological Survey, 2000.

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4

Vila, José María Vargas. Flor de fango. Caracas: Editorial Panapo, 1990.

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Vila, José María Vargas. Flor del fango: Etopeya. Colombia: Panamericana Editorial, 1998.

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Roman, Valerie San. Una Flor en el Fango. San Jose: Edisa, 1991.

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7

Escudier, Marcel. Compressible pipe flow. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0013.

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In this chapter gas flow through pipes is analysed, taking account of compressibility and either friction or heat exchange with the fluid. It is shown that in all cases the key parameter is the Mach number. The analyses are based upon the conservation laws for mass, momentum, and energy, together with an equation of state. So that significant results can be achieved, the flowing fluid is treated as a perfect gas, and the flow as one dimensional. Adiabatic pipe flow with wall friction is termed Fanno flow. Frictionless pipe flow with heat transfer is termed Rayleigh flow. It is found that both flows, and also isothermal pipe flow with wall friction, can be limited by choking.
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Flor Del Fango. Panamericana Editorial, 2004.

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Vila, J. M. Vargas. Flor Del Fango. Panamericana Editorial, 2003.

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Guerrero, Marciano, and Jose Maria Vargas Vila. Flor de Fango. Createspace Independent Publishing Platform, 2016.

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Book chapters on the topic "Fanno flow"

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Palmer, James, Kenneth Ramsden, and Eric Goodger. "Fanno Flow." In Compressible Flow Tables for Engineers, 65–78. London: Macmillan Education UK, 1987. http://dx.doi.org/10.1007/978-1-349-09724-1_7.

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Babu, V. "Flow with Friction—Fanno Flow." In Fundamentals of Gas Dynamics, 57–67. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-60819-4_5.

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Cao, Huai-Dong. "The Kähler–Ricci Flow on Fano Manifolds." In Lecture Notes in Mathematics, 239–97. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00819-6_5.

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Guedj, Vincent. "Convergence of the Kähler–Ricci Flow on a Kähler–Einstein Fano Manifold." In Lecture Notes in Mathematics, 299–333. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00819-6_6.

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"Fanno Flow Summary." In Gasdynamics, 437. New York: American Institute of Aeronautics and Astronautics, 1986. http://dx.doi.org/10.2514/5.9781600861871.0437.0437.

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Malin, Yonatan. "Modulating Couplets in Fanny Hensel’s Songs." In The Songs of Fanny Hensel, 171–92. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780190919566.003.0010.

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This chapter examines Fanny Hensel’s responses to the flow of syntax, thought, and feeling across poetic couplets. Poetic analysis identifies instances of syntactic independence and dependence between couplets, as well as logical relations of interpretation, opposition, and continuation. Hensel’s settings are shown to respond with precisely calibrated tonal shifts, cadences, sequences, harmonic changes, declamatory rhythms, and textures. Comparisons of settings by Hensel and Robert Schumann highlight distinctive aspects of Hensel’s compositional practice. The chapter considers couplet settings first in song beginnings, and then in song continuations with particular song forms (strophic, varied strophic, and ternary) in mind. The chapter builds on prior work by Stephen Rodgers and R. Larry Todd, which draws attention to the tonal fluidity of Hensel’s music. Implications for performance and music-text relations are considered as well.
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Zhu, Xiaohua. "Smooth Convergence of Kähler-Ricci Flow on a Fano Manifold." In Emerging Topics on Differential Equations and Their Applications, 290–303. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814449755_0023.

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Scott, Darieck. "I Am Nubia." In Keeping it Unreal, 47–88. NYU Press, 2022. http://dx.doi.org/10.18574/nyu/9781479840137.003.0002.

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This chapter is inspired by the arresting image of the little-known superhero character Nubia as she appeared on a 1973 cover of Wonder Woman, which fascinated Scott as a child. The chapter dives into the history of Nubia’s shifting appearances in DC Comics. This history provides the platform for theorizing the entangled significations attending the figuration of a black female character in comics; the queerness of the comics form, as well as its invitations to read queerly; and how superhero comics show that fantasy is a form of being. The chapter engages the unlikely pair of Frantz Fanon and Ramzi Fawaz, both as theorists of comics; along with Frederic Wertham, author of Seduction of the Innocent, as prosecutor of comics; Eve Sedgwick, as queer fantasist; and Leo Bersani, as queer theorist of fantasy. Comics’ requirement that readers enact “closure”—the imaginative supplement and invention that gives sense and flow to otherwise unconnected, static visual tableaux—emerges as a key part of the act in fantasy-acts.
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Conference papers on the topic "Fanno flow"

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Passmann, Maximilian, Stefan aus der Wiesche, and Eugeny Y. Kenig. "On the Low and High Speed Flow of Gases Through Pillow Plate Channels." In ASME-JSME-KSME 2019 8th Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/ajkfluids2019-4933.

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Abstract Low speed and high speed flow phenomena in pillow plate channels are considered. High speed flows were investigated by means of analytical methods and fully three-dimensional computational fluid dynamics (CFD) simulations. The theoretical analysis indicated that a Fanno-type flow model described high speed flow behavior in pillow plate channels reasonably well. Since only wavy walls with smooth profiles were involved, linearized gas dynamics was applied in order to derive similarity laws for the high speed flows. The detailed CFD analysis was used to support the assumption of a Fanno-type flow. The effects of the wavy wall structures on pressure drop and Mach number distribution within the flow path were investigated in detail. The present analysis demonstrates that pillow plate heat exchangers represent promising candidates for high speed turbo machinery applications.
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Godbole, Ajit, Guillaume Michal, Cheng Lu, Philip Venton, and Philip Colvin. "Full-Bore Pipeline Rupture as ‘Transient Fanno’ Flow." In 2016 11th International Pipeline Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/ipc2016-64334.

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Full-bore decompression of an initially highly pressurized pipe has been studied extensively in recent years. The main aim of this effort has been to estimate the speed of the decompression wave and its relationship to the speed of a travelling fracture in the pipe wall. It has been demonstrated that the speed of the decompression wave is influenced by the friction at the gas-solid interface, and also by the pipe size (diameter). The numerical value of the friction factor has been traditionally estimated using known relationships such as the Haaland formula. However, it has also been noticed that the friction factor calculated in this way has to be increased many-fold to achieve agreement between theory and experiment. To date, there is no physical justification for this increase. The present paper proposes an explanation by modelling the full-bore decompression as a ‘transient Fanno’ flow. The model development is based on the observation that the flow at the exit plane always tends to approach a ‘choked’ condition (sonic velocity). It is shown that a re-interpretation of the Fanno flow formula allows an estimation of the irreversibility, and therefore the friction factor, in the evolving flow. When averaged over space and time, the friction factor attains a value that need not be artificially adjusted. This value of the friction factor can be used in one-dimensional models of the decompression process. Also, the role of the ‘second coefficient of viscosity’ during the initial instants of the highly transient flow is examined.
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Vasu, Subith, Manav Tyagi, and Raman Sujith. "Nonlinear Wave Propagation in Fanno Line Base Flow." In 43rd AIAA Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2005. http://dx.doi.org/10.2514/6.2005-520.

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Cioffi, Marco, Enrico Puppo, and Andrea Silingardi. "Fanno Design of Blow-Off Lines in Heavy Duty Gas Turbine." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-95024.

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In typical heavy duty gas turbines the multistage axial compressor is provided with anti-surge pipelines equipped with on-off valves (blow-off lines), to avoid dangerous flow instabilities during start-ups and shut-downs. Blow-off lines show some very peculiar phenomena and somewhat challenging fluid dynamics, which require a deeper regard. In this paper the blow-off lines in axial gas turbines are analyzed by adopting an adiabatic quasi-unidimensional model of the gas flow through a pipe with a constant cross-sectional area and involving geometrical singularities (Fanno flow). The determination of the Fanno limit, on the basis of the flow equation and the second principle of thermodynamics, shows the existence of a critical pipe length which is a function of the pipe parameters and the initial conditions: for a length greater than this maximum one, the model requires a mass-flow reduction. In addition, in the presence of a regulating valve, so-called multi-choked flow can arise. The semi-analytical model has been implemented and the results have been compared with a three-dimensional CFD analysis and cross-checked with available field data, showing a good agreement. The Fanno model has been applied for the analysis of some of the actual machines in the Ansaldo Energia fleet under different working conditions. The Fanno tool will be part of the design procedure of new machines. In addition it will define related experimental activities.
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Kawashima, D., and Y. Asako. "Data Reduction of Friction Factor of Compressible Flow in Micro-Channels." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-87206.

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This paper focuses on data reduction of friction factor of compressible fluid flowing through micro-channels. The both pressure and temperature are required to calculate the friction factor of compressible flow. Therefore, in the past data reduction of many experiments, the friction factors have been obtained under the assumption of isothermal flow since temperature measurement of compressible flow in micro-channels is quite difficult due to the experimental technique limitation. The authors find that the temperature of the fluid can be obtained from the pressure under the assumption of one dimensional flow in an adiabatic channel (Fanno flow). In this paper, the temperatures obtained by our proposed equation are compared with results of numerical simulations and friction factors are also compared.
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Maeda, Kenshi, Chungpyo Hong, and Yutaka Asako. "Semi Local Friction Factor of Gas Flow Through a Micro-Tube." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-70375.

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Flow characteristics of laminar gas flow through a micro-tube were experimentally studied on friction factors in this paper. The experiments were performed for nitrogen flow through a stainless steel micro-tube with 123.87 μm in diameter and 50mm in length. Two static pressure tap holes were fabricated on the micro-tube wall at intervals of 5mm with electrical discharge machining. The local pressure was measured to determine the local values of Mach number, temperature and friction factor. Both the Fanning and the Darcy friction factors were obtained under the assumption of a Fanno flow (adiabatic wall) since the external micro-tube wall was covered with the foamed polystyrene. The effects of temperature decrease on friction factors were investigated because the gas temperature steeply decreases near the outlet due to energy conversion from thermal energy into kinetic energy in a high speed gas flow. The obtained friction factors were compared with those in the available literature and also with numerical results.
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Shigeishi, Takayuki, Chungpyo Hong, and Yutaka Asako. "Experimental Investigations on Friction Factors of Gaseous Flow Through a Micro-Tube With Smooth Surface." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71145.

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The purpose of the present study is to experimentally investigate flow characteristics on semi-local friction factors of nitrogen gas flow through a micro-tube with a smooth surface. The experiments were performed using a glass micro-tube with 266 μm in diameter and 120 mm in length. Three static pressure holes are drilled on the wall near the micro-tube outlet at intervals of 5 mm, and the local pressures were measured with the outlet discharged into the atmosphere. The local values of Mach number, temperature and friction factor were obtained from the measured local pressures. The result in the wide range of Reynolds number was also obtained, including the choked flow. Darcy friction factor and Fanning friction factor obtained under the assumptions of both a Fanno flow (adiabatic wall) and an Isothermal flow were compared with empirical correlations in the literature and numerical results.
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Ibrahim, Zakaria N. "Safety Relief Valve Vent Sizing Using Steam Flow Properties." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71009.

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Safety relief valve vents in power plants are typically sized by treating steam flow as a perfect gas flow. ANSI B31.1 [1] and an ASME paper by G. S. Liao [2] provided the power industry with the guidance for using this approximation. The perfect gas approximation of the steam flow furnished the engineers with the simple formulations currently available in References 1 and 2. Modern computational techniques allow the accuracy of vent sizing calculations to be improved by eliminating the perfect gas assumption. The following methodology uses ASME steam property tables [3] assuming adiabatic flow through one or more constant area pipe sections connected by reducers. Compressible flow Fanno-Line differential equations for continuity, momentum, energy, and state [4] are generalized to handle the steam thermodynamic properties. These equations are simultaneously solved numerically to determine the flow thermodynamic state at any location along the vent. The differential equations are integrated utilizing steam thermodynamic functions [3], in conjunction with the Math-Cad’s Runga-Kutta method [5]. Both choking and non-choking conditions are considered at the vent exit. Closed discharge backpressures and open discharge blowback are addressed. Amendment to the ASME ANSI B31.1 Power Piping Code [1], to include the differential equations formulation for the constant area adiabatic steam flow is also proposed.
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Roohi, Ehsan, Masoud Darbandi, and Vahid Mirjalili. "DSMC Solution of Supersonic Scale to Choked Subsonic Flow in Micro to Nano Channels." In ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2008. http://dx.doi.org/10.1115/icnmm2008-62282.

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In this study, the supersonic and choked subsonic flows through micro/nano channels are investigated using direct simulation Monte Carlo (DSMC) method. The supersonic case is simulated at different Knudsen numbers covering slip to transition flow regimes, while the effects of inlet Mach and back pressure are studied in details. The inlet/outlet pressure boundary conditions are suitably implemented benefiting from the basics of characteristics theory. A behavior similar to the one predicted by the Fanno theory is observed here; i.e., the supersonic flow velocity decelerates up to a choking condition where any further increase in Knudsen number is impossible unless strong normal/oblique shocks appear at the inlet and the inlet conditions change to the subsonic ones. However, a subsonic flow appears near the outlet section if one imposes a back pressure lower than the ordinary exit pressure at the outlet. Our investigation showed that applying the back pressure boundary condition right at the real channel exit would overwhelm the solution. A more realistic behavior can be achieved by inserting suitable buffer zone beyond the real channel exit, where the back pressure is applied there. This strategy results in capturing a more realistic physics of flow at the channel outlet and enforces choking condition at the outlet.
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Gaggioli, Richard A. "Streamlined Modeling of Compressible Flows." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13125.

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The development of the compressible flow tables by Shapiro, Hawthorne and Edelman [1-3] was a boon to the one-dimensional modeling of compressible flows - isentropic flow, Fanno flow, Rayleigh flow, normal shock. Nevertheless, the use of the tables is cumbersome. Furthermore, becoming engrossed with the mechanics of applying the tables, students and practitioners often lose sight of the fundamentals that are being applied. The present paper will illustrate the direct application of the basic one-dimensional governing equations to the modeling of compressible flows. In a straightforward fashion mass, momentum, energy and entropy balances, along with transport and property relations, are applied directly (without the use of tables or graphs) to model and to find solutions. Moreover, unlike the tables, the modeling does not need to assume ideal gases, let alone a constant ratio of specific heats. The key to this improved and easy approach, unavailable at the time the tables were developed, is the accessibility of equation solving software that includes property relations for gases and liquids. In particular, in the present work, EES (from fchart software; see fchart.com) was employed.
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Reports on the topic "Fanno flow"

1

Phosphorus and E. coli in the Fanno and Bronson Creek subbasins of the Tualatin River basin, Oregon, during summer low-flow conditions, 1996. US Geological Survey, 2000. http://dx.doi.org/10.3133/wri004062.

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You might also be interested in the extended bibliographies on the topic 'Fanno flow' for particular source types:
Journal articles
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