Pressure transmission in Bingham fluids compressed within a closed pipe

Oliveira, Gabriel Merhy de; Negrão, Cezar Otaviano Ribeiro; Franco, A.

doi:10.1016/j.jnnfm.2011.11.004

Cited by 30 publications

(16 citation statements)

References 12 publications

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“…However, a thorough analysis of these experimental results indicates that the difference between the two evaluated wall shear stresses is identical to the yield stress, as indicated by τ w − τ F w = τ y (see Table I). Similar discrepancies between measured and expected pressure drops, and the nature of pressure transmission for Bingham flows have been discussed before in the literature, as pointed out in [15] and references therein. Whether the source of this anomalous behavior lies in the techniques used to measure the pressure or is a more fundamental issue cannot be concluded at this stage and is left as an open question for future studies.…”

Section: Phenomenological Friction Factorsupporting

confidence: 86%

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Phenomenological friction equation for turbulent flow of Bingham fluids

et al. 2017

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Most discussions in the literature on the friction coefficient of turbulent flows of fluids with complex rheology are empirical. As a rule, theoretical frameworks are not available even for some relatively simple constitutive models. In the present work, a formula is proposed for the evaluation of the friction coefficient of turbulent flows of Bingham fluids. The developments combine a fresh analysis for the description of the microscales of Kolmogorov and the phenomenological turbulence model of Gioia and Chakraborty [G. Gioia and P. Chakraborty, Phys. Rev. Lett. 96, 044502 (2006)PRLTAO0031-900710.1103/PhysRevLett.96.044502]. The resulting Blasius-type friction equation is tested against some experimental data and shows good agreement over a significant range of Hedstrom and Reynolds numbers. Comments on pressure measurements in yielding fluids are made. The limits of the proposed model are also discussed.

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Section: Phenomenological Friction Factorsupporting

confidence: 86%

“…14through a correction term that takes into account a discrepancy between the latter equation and the experimental data observed in the literature. Pressure drop discrepancies in Bingham flows have been observed before, as remarked in [15]; this continues to be a challenging theoretical and experimental issue. Nonetheless, Eq.…”

Section: Discussionmentioning

confidence: 87%

Phenomenological friction equation for turbulent flow of Bingham fluids

et al. 2017

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“…With the boundary conditions in Eq.s (6), the relations between r and z, and the relations between U and V, and let y z m  , the Eq. 9 In the continuous-wave information transmission, the pressure wave inside the drill string can be seen as the periodic flow in the steady pipe flow, and only the periodic flow plays the leading role.…”

Section: Advances In Engineering Research Volume 90mentioning

confidence: 99%

“…When deriving the transfer function of the elastic drill string, a frequency-dependent friction term was utilized, however, this term was also based on the Newtonian fluids. Oliveira et al [6,7] simulated the pressure propagation in the Bingham fluid for different geometries and boundary conditions; in their studies, they used the fluid conductance of the Bingham fluid, which was obtained from Melrose et al [8], in the friction factor calculations.…”

Section: Introductionmentioning

confidence: 99%

Frequency-dependent friction for non-Newtonian power-law fluid in transient pipe flow

Jia¹,

Fang²

2016

Proceedings of the 5th International Conference on Mechanical Engineering, Materials and Energy (5th ICMEME2016)

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The pressure wave transmitted in the non-Newtonian drilling fluid is widely used for the information transmission in Measurement While Drilling/Logging While Drilling technology. It is essential to get the friction model in the non-Newtonian drilling fluid to evaluate the signal attenuation. A model of transient non-Newtonian power-law pipe flow is developed by assuming a steady viscosity varied only with the radius, and the solution is derived analytically in the complex domain and time domain. The analysis results show that the shear stress which is the friction term in the motion equation increases with the n increase, and decreases with the frequency increase. The trend of signal attenuation increases with the frequency increase, but for different n, the signal attenuation varies significantly, which decreases with the n increase.

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“…Only recently, Oliveira et al (2012a) have studied numerically the pressure transmission in Bingham fluids compressed within a closed ended pipe and Oliveira et al (2012b) have mathematically modelled the pressure transmission in a closed well and compared the results with data obtained from an experimental rig. Both works concluded that a constant pressure imposed at one pipe end filled with viscoplastic fluid is not fully transmitted to the other pipe end because of the fluid yield stress.…”

Section: Introductionmentioning

confidence: 99%

Pressure Transmission in Gelled Drilling Fluids

Oliveira

Franco

Negrão

et al. 2015

Day 1 Tue, March 17, 2015

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In deep water environments, the operational window has become narrower and narrower resulting that pressure control within the well needs more accuracy. Pressure differences between the choke line and the stand pipe in a close well operation, usually ignored in the past, may now be a determining factor on the specification of the fluid weight to control a kick. Additionally, pressure changes in the choke line that delay and undermine the transmission to the kill line and to the stand pipe have been receiving much more attention nowadays. The current work proposes a mathematical model to explain the pressure differences, delays and attenuations observed in closed well operations. The model is based on the conservation equations of mass and momentum, deals the problem as transient and compressible and the fluid motion is admitted to be one-dimensional. The drilling fluid is modeled either by the Bingham or the Power law equation. It can be anticipated that the problem is intrinsically transient and cannot be treated by a steady-state model. In addition to that, a pressure difference between two pipe ends, generated by a step change at one pipe end, can either be permanent, in case of a Bingham fluid, or reduced very smoothly, in case of a Power law fluid.

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Pressure transmission in Bingham fluids compressed within a closed pipe

Cited by 30 publications

References 12 publications

Phenomenological friction equation for turbulent flow of Bingham fluids

Phenomenological friction equation for turbulent flow of Bingham fluids

Frequency-dependent friction for non-Newtonian power-law fluid in transient pipe flow

Pressure Transmission in Gelled Drilling Fluids

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