Structural similarity of turbulence in fully developed smooth pipe flow

AIAA Journal ◽  
1989 ◽  
Vol 27 (3) ◽  
pp. 283-292 ◽  
Author(s):  
J. C. S. Lai ◽  
K. J. Bullock ◽  
R. E. Kronauer
2014 ◽  
Vol 749 ◽  
pp. 79-98 ◽  
Author(s):  
S. C. C. Bailey ◽  
M. Vallikivi ◽  
M. Hultmark ◽  
A. J. Smits

AbstractFive separate data sets on the mean velocity distributions in the Princeton University/ONR Superpipe are used to establish the best estimate for the value of von Kármán’s constant for the flow in a fully developed, hydraulically smooth pipe. The profiles were taken using Pitot tubes, conventional hot wires and nanoscale thermal anemometry probes. The value of the constant was found to vary significantly due to measurement uncertainties in the mean velocity, friction velocity and the wall distance, and the number of data points included in the analysis. The best estimate for the von Kármán constant in turbulent pipe flow is found to be $0.40 \pm 0.02$. A more precise estimate will require improved instrumentation.


1992 ◽  
Vol 12 (6) ◽  
pp. 369-376
Author(s):  
J. C. S. Lai ◽  
K. J. Bullock ◽  
P. G. Hollis
Keyword(s):  

2004 ◽  
Vol 511 ◽  
pp. 41-44 ◽  
Author(s):  
B. J. McKEON ◽  
C. J. SWANSON ◽  
M. V. ZAGAROLA ◽  
R. J. DONNELLY ◽  
A. J. SMITS

AIChE Journal ◽  
2016 ◽  
Vol 62 (7) ◽  
pp. 2550-2562 ◽  
Author(s):  
Jimiao Duan ◽  
Huishu Liu ◽  
Jinfa Guan ◽  
Weixing Hua ◽  
Guangwei Jiao ◽  
...  

1987 ◽  
Vol 30 (10) ◽  
pp. 3006 ◽  
Author(s):  
K. J. Bullock ◽  
R. E. Cooper ◽  
R. E. Kronauer ◽  
J. C. S. Lai

2018 ◽  
Vol 44 ◽  
pp. 00177 ◽  
Author(s):  
Tomasz Janusz Teleszewski

In this study, an experimental investigation of the kinetic energy (Coriolis) correction factor in laminar, transitional and turbulent flow in a transparent smooth pipe with a Reynolds number up to 25000 is performed. The velocity profiles are obtained using a laser Doppler velocimetry (LDV). Based on the experimental results obtained for Re < 25000, generalized correlations for the kinetic energy correction factor as a function of the Reynolds number are presented. The results of the research are compared with experimental results reported by other authors. The predicted correlations for the kinetic energy correction factor can be a very useful resource for the hydraulic calculations of fluid through circular ducts.


2015 ◽  
Vol 9 (1) ◽  
pp. 32
Author(s):  
Muh Taufik Iqbal

Sistem perpipaan berfungsi untuk mengalirkan zat cair dari satu tempat ke tempat yang lain. Aliran terjadi karena adanya perbedaan tinggi tekanan pada kedua tempat, yang biasa terjadi karena adanya perbedaan elevasi muka air atau karena digunakannya pompa. Aliran fluida didalam pipa mengalami kehilangan energi seiring dengan panjang pipa yang dilalui, yang diakibatkan kekasaran pipa, panjang pipa, diameter pipa, dan  jenis fluida.         Tujuan dari penelitian ini adalah untuk mengetahui efek kekasaran dinding pipa terhadap kecepatan aliran dan untuk mengetahui perbedaan antara kecepatan aliran terhadap kekasaran dinding pipa jika menggunakan manometer manual dengan dengan software WaterCad V8i. Pada percobaan ini dilakukan dua percobaan, yaitu percobaan menggunakan manometer manual didalam laboratorium dengan berbagai macam variasi diameter dan jenis pipa yaitu pipa halus dan pipa kasar dengan percobaan menggunakan aplikasi WaterCad V8i. Pada percobaan pipa halus semakin besar nilai kecepatan aliran (0,792 m/s – 3,740 m/s) dalam pipa, maka nilai kehilangan energi (0,028 – 4,813)  juga akan semakin besar. Ini membuktikan bahwa kecepatan aliran berbanding lurus dengan nilai kehilangan energi. Pada percobaan pipa kasar semakin besar nilai kecepatan aliran (0,875 m/s –2,548 m/s) dalam pipa, maka nilai kehilangan energi (0,096 – 0,808)  juga akan semakin besar. Ini membuktikan bahwa kecepatan aliran berbanding lurus dengan nilai kehilangan energi. Bedanya dengan percobaan pada pipa halus adalah kecepatannya lebih besar, ini diakibarkan karena penampang bagian dalam pipa memiliki permukaan yang lebih halus dan memiliki luas penampang yang lebih kecil dibandingkan dengan pipa kasar, dan kecepatan aliran pada pipa kasar  rendah diakibatkan adanya gesekan dengan permukaan pipa yang kasar. Perbandingan menggunakan metode manual dengan menggunakan aplikasi Watercad V8i dari nilai regresi data manual dan data aplikasi (0,787 – 0,975), hasil perhitungan menggunakan aplikasi Watercad V8i; nilai kecepatan dan kehilangan energi yang diperoleh mendekati / memiliki hubungan langsung positip baik dengan nilai kecepatan dan kehilagan energi yang diperoleh dengan menggunakan metode manual.Kata Kunci: Kehilangan Energi, Jaringan Pipa, Watercad V8i Piping system serves to drain liquid from one place to another. Flow occurs due to the high difference in pressure in the second place, that usually happens because of differences in water level or by the use of pumps. Fluid flow in the pipe experience a loss of energy along the length of pipe that passed, which caused the pipe roughness, length of pipe, pipe diameter, and type of fluid.In this study, two experiments, the experiment using a manometer manually in the laboratory with a wide variety of diameters and types of pipe is smooth pipes and plumbing rough and experiments using V8i WaterCad applications.At the trial the greater smooth pipe flow velocity value (0.792 m / s - 3,740 m / s) in the pipeline, then the value of the energy loss (0.028 to 4.813) will also increase. This proves that the flow velocity is proportional to the rate of energy loss. At the trial the greater rough pipe flow velocity value (0.875 m / s -2.548 m / s) in the pipeline, then the value of the energy loss (0.096 to 0.808) will also increase. This proves that the flow velocity is proportional to the rate of energy loss. The difference with experiments on smooth pipe is greater speed, this diakibarkan because the cross section of the inner tube has a smoother surface and has a smaller cross-sectional area compared to the rough plumbing and rough pipe flow velocity at low due to friction with the rough surface of the pipe .Comparison using the manual method using Watercad V8i application of regression value of manual data and application data (0.787 to 0.975), the results of calculations using Watercad V8i application; the value of speed and energy loss obtained approaching / have a direct positive relationship both with speed and kehilagan energy value obtained using the manual method.Keywords: Loss of Energy, Pipeline, Watercad V8i 


1978 ◽  
Vol 88 (3) ◽  
pp. 585-608 ◽  
Author(s):  
K. J. Bullock ◽  
R. E. Cooper ◽  
F. H. Abernathy

The paper describes correlation measurements in both broad and narrow frequency bands of the longitudinal velocity fluctuations in fully developed pipe flow at four positions for a reference probe whilst a second probe was traversed radially from deep in the sublayer to a position near the axis with both longitudinal and transverse separations zero (Δx = Δz = 0). Such measurements require that both the Covariant (Co) and Quadrature (Quad) correlations be determined for each of the 15 frequencies used to constrain the wave component λx.The new data demonstrate that low frequency, large scale turbulence fluctuations extend over the majority of the radial region and that these components are highly correlated. By using a similarity variable kxy, along with a normalized wall distance y/y REF, both correlation functions, i.e. the Co and the Quad components, are shown to collapse. The physical significance of this is discussed.The broad-band data do not collapse because of the large range of wave sizes. However, the present experiment does show that strong radial correlations exist even when one probe is at y+ = 1. This conflicts with the earlier data of Favre, but agrees with the more recent work of Comte-Bellot. There is a significant amount of turbulent energy in frequencies less than 16 Hz (ω+ = 0·008) for turbulent flows of about 105 Reynolds number.The spectral function ωΦ(ω) is also presented for a range of y+ values. Using this form for the power spectral density, along with the stochastic wave modelling and similarity arguments of this paper, it is shown how a consistent explanation for the behaviour of these spectra is obtained. In addition some preliminary results from cross-spectral analyses are presented and suggestions made as to their physical significance.


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