Abstract

The key element in design of pipelines is the friction factor estimation. After the brief review of the experimental data and friction factor correlations for isothermal single phase flow, we have checked the validity of well-known correlations through statistical criteria. During this process it was statistically proved that some of the well-known and permanently cited friction factor equations can be improved. Moreover we have prepared, for practical engineering purposes, equations that cover the entire range of laminar, critical and turbulent pipe flow.

Highlights

  • Transportation of various fluids absorbs a huge amount of energy in any project concerning chemical engineering and energy production and distribution plants

  • After the brief review of the experimental data and friction factor correlations for isothermal single phase flow, we have checked the validity of well-known correlations through statistical criteria

  • Afterwards we reviewed some of the correlations listed above and the results are shown in Tables 2, 3 and 4

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Summary

Introduction

Transportation of various fluids absorbs a huge amount of energy in any project concerning chemical engineering and energy production and distribution plants. The best known handbooks in chemical, thermal and hydraulic engineering, like [1,2,3,4,5,6], cite “classical work” in the field of fluid mechanics, numerous continuously published papers about the fluid flow through the circular pipes indicate that this is still a very interesting topic. Up to the middle of 20th century Prandtl, von Karman, Nikuradse, Colebrook and others set the equations that are still in use by virtue of their comprehensiveness and compliance with numerous experimental data. Since that time experimental and theoretical studies on liquid and gas flow in pipeline was carried out in order to:. X extend the friction factor equation in order to cover high Reynolds number flow (of relevance especially for natural gas pipelines);. At the very end we made original equations that cover complete range of laminar, critical and turbulent flow in pipes in a form that is very practical for design purposes

Brief review of the data and calculations of pressure drop in the pipes
Laminar flow in pipes
Turbulent flow in pipes
Turbulent flow in hydraulically smooth pipes
Turbulent flow in hydraulically rough pipes – complete turbulence
Subsequent research on Turbulent Flow friction factor
The nature of pipe wall roughness
Extending of the range of Reynolds numbers in recent experimental research
Inflectional behavior and abrupt transition
Critical regime – transition between laminar and turbulent flow
Explicit forms of turbulent flow friction factor equations
Equations that cover the whole laminar-turbulent region
Region of developing turbulent flow
Friction factor correlations vs experimental data
New and practical approach to friction factor calculations
Correlations for turbulent friction factor data in simple forms
Correlations for laminar-critical-turbulent friction factor data
Estimation of relative roughness according to experimental data
Findings
Conclusion
Full Text
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