On the estimation of the friction factor: a review of recent approaches

Plascencia, Gabriel; Díaz–Damacillo, Lamberto; Robles-Agudo, M.

doi:10.1007/s42452-020-1938-6

Cited by 10 publications

(7 citation statements)

References 23 publications

(83 reference statements)

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“…Further, for example, US Bureau of Mines published a report in 1956 [10] that introduced a modified form of the Colebrook equation for gas flow where coefficient 2.51 was replaced with 2.825. Also, very recent modifications of a variety of empirical equations for pipe flow are available [11]. Here we analyze one modification for air flow friction in the open-cathode side of the observed type of PEMFCs [8], and subsequently, we give a stable and computationally efficient explicit solution which is valid in this case.…”

Section: Modified Colebrook Equation For Flow Frictionmentioning

confidence: 99%

Air-Forced Flow in Proton Exchange Membrane Fuel Cells: Calculation of Fan-Induced Friction in Open-Cathode Conduits with Virtual Roughness

Brkić

Praks

2020

Processes

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Measurements of pressure drop during experiments with fan-induced air flow in the open-cathode proton exchange membrane fuel cells (PEMFCs) show that flow friction in its open-cathode side follows logarithmic law similar to Colebrook’s model for flow through pipes. The stable symbolic regression model for both laminar and turbulent flow presented in this article correlates air flow and pressure drop as a function of the variable flow friction factor which further depends on the Reynolds number and the virtual roughness. To follow the measured data, virtual inner roughness related to the mesh of conduits of fuel cell used in the mentioned experiment is 0.03086, whereas for pipes, real physical roughness of their inner pipe surface goes practically from 0 to 0.05. Numerical experiments indicate that the novel approximation of the Wright-ω function reduced the computational time from half of a minute to fragments of a second. The relative error of the estimated friction flow factor is less than 0.5%.

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Section: Modified Colebrook Equation For Flow Frictionmentioning

confidence: 99%

Air-Forced Flow in Proton Exchange Membrane Fuel Cells: Calculation of Fan-Induced Friction in Open-Cathode Conduits with Virtual Roughness

Brkić

Praks

2020

Processes

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“…Re Re Re H . (10) In this study, the Reynolds number was substituted with a generalized Re number due to Madlener et al [12] in Eq. ( 3).…”

Section: Friction Factor Formulationsmentioning

confidence: 99%

“…Brkič [8] and Genić et al [9] presented extensive reviews of the existing approaches and found many explicit approximations very accurate. Plascencia et al [10] also compared current methods; they discovered that some expressions using Lambert's W function are also sufficiently precise. Some recent, unified formulations are valid for all hydraulic regimes for Newtonian fluids [11].…”

Section: Introductionmentioning

confidence: 99%

CFD-based Estimation of Friction Factor in Rough Pipes with Herschel-Bulkley Fluids

Csizmadia

Dombóvári

Till

et al. 2023

Period. Polytech. Chem. Eng.

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The appropriate estimation of frictional losses in a pipeline system is essential. So far, little attention has been paid to determining the friction factors with non-Newtonian fluids, especially in rough pipes. This study aims at calculating the friction factor using validated three-dimensional Computational Fluid Dynamics models in Ansys CFX. Steady-state computations are performed with three different incompressible Herschel-Bulkley fluids in rough pipes with relative roughness of the inner pipe surface ε = 0.0005 – 0.01. A power-law type bath gel as a test fluid is used for experiments to validate our numerical model. The numerical results are compared with the measured values and also with numerous existing friction factor estimation models with the help of generalization of the Reynolds number in the relevant engineering range of Regen = 100 – 40,000. This paper shows that the existing approximations can not accurately describe the friction factor with pseudoplastic fluids in rough pipes. On the contrary, in the case of Bingham plastic fluid, a new, explicit calculation relation is found in a unified form accepted by the literature.

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“…The main strength of the model from [28,29] is in assuming the sharp flow transition as a sigmoid type of function that results from the randomness of the flow associated with the turbulence; 2.…”

Section: Background and Related Workmentioning

confidence: 99%

Hydraulic Losses in Systems of Conduits with Flow from Laminar to Fully Turbulent: A New Symbolic Regression Formulation

Milosevic

Brkić

Praks

et al. 2022

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Separate flow friction formulations for laminar and turbulent regimes of flow through pipes are in common use in engineering practice. However, variation of different parameters in a system of conduits during conveying of fluids can cause changes in flow pattern from laminar to fully turbulent and vice versa. Because of that, it is useful to unify formulations for laminar and turbulent hydraulic regimes in one single coherent equation. In addition to a physical interpretation of hydraulic friction, this communication gives a short overview of already available Darcy’s flow friction formulations for both laminar and turbulent flow and additionally includes two simple completely new approximations based on symbolic regression.

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On the estimation of the friction factor: a review of recent approaches

Cited by 10 publications

References 23 publications

Air-Forced Flow in Proton Exchange Membrane Fuel Cells: Calculation of Fan-Induced Friction in Open-Cathode Conduits with Virtual Roughness

Air-Forced Flow in Proton Exchange Membrane Fuel Cells: Calculation of Fan-Induced Friction in Open-Cathode Conduits with Virtual Roughness

CFD-based Estimation of Friction Factor in Rough Pipes with Herschel-Bulkley Fluids

Hydraulic Losses in Systems of Conduits with Flow from Laminar to Fully Turbulent: A New Symbolic Regression Formulation

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