Improving basic relationships of pipe hydraulics

Díaz-Curiel, Jesús; Miguel, María Jesús; Caparrini, Natalia; Biosca, Bárbara; Díaz, Miguel Izquierdo

doi:10.1016/j.flowmeasinst.2020.101698

Cited by 5 publications

(10 citation statements)

References 26 publications

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“…Flow friction is a complicated physical phenomenon and it is not constant but depends on flow rate and pressure drop. Because of its complexity, equations which describe the flow friction are mostly empirical [1]. The most used empirical formulation for turbulent pipe flow is given by Colebrook's equation [2].…”

Section: Introductionmentioning

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: Introductionmentioning

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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“…Figure 7 shows the results obtained for the main parameters and ratios of processing flowmeter logs by applying the methodology of Díaz-Curiel et al (2020).…”

Section: Flowmeter Resultsmentioning

confidence: 99%

“…One of the necessary steps is to process the flowmeter logs, this will be done according to the laws of pipe hydraulics using the methodology developed by Díaz-Curiel et al (2020). To obtain the flow velocity at each depth, <V(z)>, a conventional iterative process is used.…”

Section: Flowmeter Data Processing Methodsmentioning

confidence: 99%

“…This process is repeated until a given convergence criterion c CR is reached, following the flow chart in Fig. 2 (adapted from Díaz-Curiel et al, 2020), to obtain Re(z). The cited relationships are shown in Eqs.…”

Section: Flowmeter Data Processing Methodsmentioning

confidence: 99%

“…Although different types of sensors have been used in well logging tools, spinner flowmeters are the most widely used in assessing the productivity of wells. Díaz-Curiel et al (2020) proposed a complete reformulation for processing spinner flowmeter logs. Another aspect related to the reliability of the flowmeter log results is the variability caused by differences in the near-wellbore or skin zone in the different layers of the well, for whose solution this work proposes the establishment of 'flow stretches'.…”

Section: Introductionmentioning

confidence: 99%

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Advances in the Hydraulic Interpretation of Water Wells Using Flowmeter Logs

Díaz-Curiel¹,

Biosca²,

Díaz³

et al. 2021

Preprint

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Abstract. This paper reports on the methodology developed for a new hydraulic interpretation of flowmeter logs, allowing a better characterization of continental hydrological basins. In the course of a flowmeter log, different flow stretches are established mostly corresponding to permeable layers (aquifers), among which there are other stretches mainly corresponding to less permeable layers (aquitards). In such hydrological basins of sufficient thickness, these flow stretches may not have the same hydraulic head. This fact brings about the need for a new hydraulic interpretation that provides the actual distribution of horizontal permeability throughout the aquifer at depth. The modified hydraulic interpretation developed in this study focuses on the differences of the effective pressure gradient (considered as the difference between the hydraulic head in the well and the hydraulic head of each stretch) experienced by the different flow stretches along the well, due to the existence of different hydraulic heads. The methodology has been developed starting from a water well located in a multilayered aquifer within the so-named Madrid Basin (the NW part of the continental basin of the Tajo River), located in the centre of the Iberian Peninsula. In this well, a step-drawdown pumping test was conducted, in which the pumping rate versus drawdown and the specific capacity versus drawdown showed discrepancies with Darcian behaviour and an exponent of the Jacob equation of less than 1. Flowmeter logs were then recorded for different discharge rates and pump depths; the resulting water input from deeper permeable layers did not appear to show the expected relation with respect to drawdown. With the proposed methodology the results comply with the expected linearity and the cited discrepancies are solved.

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New Empirical Laws in Geosciences: A Successful Proposal

Díaz-Curiel,

Biosca,

Arévalo-Lomas

et al. 2023

Applied Sciences

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The importance of empirical versus theoretical laws is a controversial issue in many scientific fields, the latter being generally accepted and the relevance of which is not discussed here. As in other areas, there are well-known theoretical and empirical formulas in geosciences that do not adequately represent the reality of a given phenomenon. Quantitative comparison of geophysical and petrophysical results with data from the other multiple fields that comprise the geosciences compels a high exigency to avoid discontinuities in existing relationships. However, the proposal of new empirical laws that more accurately reflect a given phenomenon is often considered insufficient to contradict existing formulas. The aim of this work is to defend the development of new empirical laws by showing that they constitute a true model of analysed behaviour if certain criteria are followed. This defence is especially needed when non-linearisable functions are required to fit the empirical data. To achieve this aim, this study shows the established algebraic function as a function of a single variable, whose main advantage is its application to phenomena of a geological nature that show two differentiated behaviours as the variable x is increased. A series of five examples of different phenomena related to geosciences is selected to demonstrate the level of accuracy that new empirical laws can reach in contrast to the widely accepted historical relationships.

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Improving basic relationships of pipe hydraulics

Cited by 5 publications

References 26 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

Advances in the Hydraulic Interpretation of Water Wells Using Flowmeter Logs

New Empirical Laws in Geosciences: A Successful Proposal

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