Friction Factors for Turbulent Flow of Non-Newtonian Fluids in Coiled Tubing

2002 ◽  
Author(s):  
Bharath N. Rao
Keyword(s):  
Turbulent Flow ◽  
Newtonian Fluids ◽  
Coiled Tubing ◽  
Friction Factors

Theoretical Analysis of Turbulent Flow of Power-Law Fluids in Coiled Tubing

SPE Journal ◽  
2007 ◽  
Vol 12 (04) ◽  
pp. 447-457 ◽  
Author(s):  
Yunxu Zhou ◽  
Subhash Nandlal Shah
Keyword(s):  
Boundary Layer ◽  
Theoretical Analysis ◽  
Turbulent Flow ◽  
Friction Factor ◽  
Power Law ◽  
Newtonian Fluids ◽  
Power Law Fluid ◽  
Boundary Layer Approximation ◽  
Coiled Tubing ◽  
Friction Factor Correlation

Summary A comprehensive theoretical analysis of turbulent flow of a power-law fluid in coiled tubing was conducted with the approach of boundary layer approximation. Equations of momentum integrals for the boundary layer flow were derived and solved numerically. Based on the results of the numerical analysis, a new friction-factor correlation was developed which is applicable to a wide range of flow behavior index of power-law fluid model. The new correlation was verified by comparing it with the published Ito correlation for the special case of Newtonian fluid. For non-Newtonian fluids, there is also a close agreement between the new correlation and the experimental data from recent full-scale coiled tubing flow experiments. Introduction Many fluids that are pumped through coiled tubing are typically non-Newtonian fluids, such as polymer gels or drilling muds. Understanding their flow behavior and being able to accurately predict frictional pressure through coiled tubing are essential for better operations design. A recent literature review (Zhou and Shah 2004) indicates that though there are numerous studies on the flow of Newtonian fluids in coiled pipes, there is, however, very little information with regard to the corresponding flow of non-Newtonian fluids. Among the various approaches of investigating fluid flow in coiled pipes, there is one important method called boundary layer approximation analysis. It is especially useful for high-Dean (1927, 1928) number flows where the effect of secondary flow is largely confined in a thin boundary layer adjacent to the pipe wall (Dean number is commonly defined as: (equation). According to this approach, the tubing cross-section can be divided into two regions: the central in viscid core, and the thin viscous boundary layer. This leads to much simplified flow equations for high-Dean number flows in curved geometry. This approach has been used by a number of researchers, for example, by Adler (1934), Barua (1963), Mori and Nakayama (1965), and Ito (1959, 1969) for Newtonian fluids, and by Mashelkar and Devarajan (1976, 1977) for non-Newtonian fluids. In a previous attempt, Zhou and Shah (2007) applied the method of boundary layer approximation to solve the laminar flow problem of a power-law fluid in coiled tubing and obtained an empirical friction-factor correlation based on the theoretical analysis and numerical solutions. In the present study, we take the same analysis approach but consider the turbulent flow of a power-law fluid in coiled tubing. A friction-factor correlation for turbulent flow in coiled tubing is developed, and its validity is evaluated with a published correlation (Ito 1959) and recent full-scale experimental data.

A model to calculate the pressure loss of Newtonian and non-Newtonian fluids flow in coiled tubing operations

2021 ◽  
Vol 204 ◽  
pp. 108640
Author(s):  
Beatriz Rosas Oliveira ◽  
Bárbara Cavalcante Leal ◽  
Leônidas Pereira Filho ◽  
Rodrigo Fernando de Oliveira Borges ◽  
Eduardo da Cunha Hora Paraíso ◽  
...  
Keyword(s):  
Pressure Loss ◽  
Newtonian Fluids ◽  
Coiled Tubing

Numerical and Experimental Analysis of Turbulent Flow in Corrugated Pipes

2010 ◽  
Vol 132 (7) ◽  
Author(s):  
Henrique Stel ◽  
Rigoberto E. M. Morales ◽  
Admilson T. Franco ◽  
Silvio L. M. Junqueira ◽  
Raul H. Erthal ◽  
...  
Keyword(s):  
Reynolds Number ◽  
Pressure Drop ◽  
Turbulent Flow ◽  
Friction Factor ◽  
Turbulence Models ◽  
Reynolds Numbers ◽  
Velocity Magnitude ◽  
Geometric Configurations ◽  
Corrugated Surfaces ◽  
Friction Factors

This article describes a numerical and experimental investigation of turbulent flow in pipes with periodic “d-type” corrugations. Four geometric configurations of d-type corrugated surfaces with different groove heights and lengths are evaluated, and calculations for Reynolds numbers ranging from 5000 to 100,000 are performed. The numerical analysis is carried out using computational fluid dynamics, and two turbulence models are considered: the two-equation, low-Reynolds-number Chen–Kim k-ε turbulence model, for which several flow properties such as friction factor, Reynolds stress, and turbulence kinetic energy are computed, and the algebraic LVEL model, used only to compute the friction factors and a velocity magnitude profile for comparison. An experimental loop is designed to perform pressure-drop measurements of turbulent water flow in corrugated pipes for the different geometric configurations. Pressure-drop values are correlated with the friction factor to validate the numerical results. These show that, in general, the magnitudes of all the flow quantities analyzed increase near the corrugated wall and that this increase tends to be more significant for higher Reynolds numbers as well as for larger grooves. According to previous studies, these results may be related to enhanced momentum transfer between the groove and core flow as the Reynolds number and groove length increase. Numerical friction factors for both the Chen–Kim k-ε and LVEL turbulence models show good agreement with the experimental measurements.

scholarly journals Numerical Analysis of Turbulent Flow of Non-Newtonian Fluids in Eccentric Annular Passage.

1999 ◽  
Vol 65 (635) ◽  
pp. 2382-2390
Author(s):  
Hitoshi SUGIYAMA ◽  
Mitsunobu AKIYAMA ◽  
Takashi ARAI ◽  
Yasunori SHINOHARA
Keyword(s):  
Numerical Analysis ◽  
Turbulent Flow ◽  
Newtonian Fluids
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