Turbulent flow of non‐newtonian systems

Dodge, D. W.; Metzner, A. B.

doi:10.1002/aic.690050214

Cited by 700 publications

(301 citation statements)

References 7 publications

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“…Dodge and Metzner (1959) published friction factor values at flow behavior indices of 0.617, 0.726, and 1.0, while Shaver and Merrill (1959) published friction factor values at flow behavior indices of 0.6, 0.7, and 0.9. Other sets of data are published by Yoo (1974) at different values of flow behavior indices covering a wide range from 0.241 to 0.893 as well as Szilas et al for n = 0.5287, 0.6991, 0.7169, 0.8311, and 0.948 (1981).…”

Section: Measured Datamentioning

confidence: 99%

“…El- Emam et al (2003) employed the data measured by several authors (Dodge and Metzner 1959;Shaver and Merrill 1959;Yoo 1974;Szilas et al 1981) and developed a new empirical equation to calculate the friction factor for turbulent flow of non-Newtonian fluids. Their equation was statistically examined versus several other equations and experimental data and proved its accuracy:…”

Section: El-emam Et Al Equationmentioning

confidence: 99%

“…2.1 Dodge and Metzner equation Dodge and Metzner (1959) carried out a semi-theoretical analysis of the turbulent flow of time-independent fluids, pseudoplastic power law fluids, and applied techniques of dimensional analysis to derive their first semi-empirical formula for friction factors in circular pipes:…”

Section: Friction Factor Equationsmentioning

confidence: 99%

“…To answer this, a detailed comparative study among the published correlations is indispensable to select the best model while taking into consideration its simplicity. Data published by several authors including Dodge and Metzner (1959), Shaver and Merrill (1959), Yoo (1974), and Szilas et al (1981) represent the basis of this comparison. The models involved in the comparison are selected based upon their accuracy, precision, simplicity, and range of applicability as indicated in the literature.…”

Section: Introductionmentioning

confidence: 99%

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Model inference using the Akaike information criterion for turbulent flow of non-Newtonian crude oils in pipelines

2015

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The friction factor is a crucial parameter in calculating frictional pressure losses. However, it is a decisive challenge to estimate, especially for turbulent flow of non-Newtonian fluids in pipes. The objective of this paper is to examine the validity of friction factor correlations adopting a new informative-based approach, the Akaike information criterion (AIC) along with the coefficient of determination (R 2 ). Over a wide range of measured data, the results show that each model is accurate when it is examined against a specific dataset while the El-Emam et al. (Oil Gas J 101:74-83, 2003) model proves its superiority. In addition to its simple and explicit form, it covers a wide range of flow behavior indices and generalized Reynolds numbers. It is also shown that the traditional belief that a high R 2 means a better model may be misleading. AIC overcomes the shortcomings of R 2 as a trade between the complexity of the model and its accuracy not only to find a best approximating model but also to develop statistical inference based on the data. The authors present AIC to initiate an innovative strategy to help alleviate several challenges faced by the professionals in the oil and gas industry. Finally, a detailed discussion and models' ranking according to AIC and R 2 is presented showing the numerous advantages of AIC.

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Section: Measured Datamentioning

confidence: 99%

Section: El-emam Et Al Equationmentioning

confidence: 99%

Section: Friction Factor Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Model inference using the Akaike information criterion for turbulent flow of non-Newtonian crude oils in pipelines

2015

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“…For the turbulent flow of power-law fluids, the still recommended correlation for the friction factor is that obtained by Dodge and Metzner (1959):…”

Section: Brazilian Journal Of Chemical Engineeringmentioning

confidence: 99%

Friction losses in valves and fittings for power-law fluids

Polizelli

Menegalli

Telis

et al. 2003

Braz. J. Chem. Eng.

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-Data on pressure drop were obtained in stainless steel, sanitary fittings and valves during laminar and turbulent flow of aqueous solutions of sucrose and xanthan gum, which were selected as model fluids. The rheological properties of these solutions were determined and the power-law model provided the best fit for experimental data. Friction losses were measured in fully and partially open butterfly and plug valves, bends and unions. Values of loss coefficients (k f ) were calculated and correlated as a function of the generalized Reynolds number by the two-k method. The model adjustment was satisfactory and was better in the laminar flow range (0.976 ≤ r 2 ≤ 0.999) than in the turbulent flow range (0.774 ≤ r 2 ≤ 0.989). In order to test the adequacy of the results for predicting loss coefficients during flow of real fluids, experiments were conducted with coffee extract. Comparison between experimental and predicted loss coefficients showed very good agreement.

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Fluid Mechanics

Chhabra¹,

Patel²

2020

Kirk-Othmer Encyclopedia of Chemical Technology

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This article provides an overview of the fundamentals and common applications of fluid mechanics in engineering settings, especially in the context of chemical and process engineering. Starting with the definition of a fluid, types of fluids, concept of continuum, and the Eulerian and Lagrangian viewpoints are introduced. This sets the stage for the development of the Reynolds transport theorem required to apply the laws of physics (conservation of mass and energy and Newton's laws of motion) to open systems in moving fluids. Integral and differential forms of these laws as applied to the moving fluids are obtained. Selected applications such as the estimation of frictional pressure drop in pipes and in packed columns are presented in detail. Similarly, the external flow of fluids over variously shaped objects such as sphere, cylinder, and circular discs is discussed next. The effects of solid boundaries on the detailed flow kinematics such as separation of shear layers and various flow regimes which directly influence the macroscopic flow are discussed briefly. The preceding treatment limited thus far to simple Newtonian fluids is then extended to more complex fluids such as non‐Newtonian and/or the flow of multiphase systems (gas–liquid, liquid–liquid, and gas–solid) in pipes, which are discussed in brief. The commonly used experimental tools in fluid mechanics for velocity, flow, temperature, and pressure measurements in single and multiphase flows are also introduced briefly, followed by the measurement of average holdup in multiphase flow situations. A short discussion of the other important areas of fluid mechanics not covered here is offered, supported by an extensive bibliography for further reading.

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Turbulent flow of non‐newtonian systems

Cited by 700 publications

References 7 publications

Model inference using the Akaike information criterion for turbulent flow of non-Newtonian crude oils in pipelines

Model inference using the Akaike information criterion for turbulent flow of non-Newtonian crude oils in pipelines

Friction losses in valves and fittings for power-law fluids

Fluid Mechanics

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