Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids

Ionescu, Clara M.; Birs, Isabela; Copot, Dana; Muresan, Cristina I.; Caponetto, Riccardo

doi:10.1098/rsta.2019.0284

Cited by 42 publications

(35 citation statements)

References 35 publications

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“…For these fluids, either the curve of shear stress vs. shear rate (σ − . γ) does not pass through the coordinate system's origin, or shear stress may be a nonlinear function of shear rate [47][48][49]. Accordingly, the apparent viscosity (σ/ .…”

Section: Modeling Of Non-newtonian Fluidsmentioning

confidence: 99%

Analyzing Impacts of Interfacial Instabilities on the Sweeping Power of Newtonian Fluids to Immiscibly Displace Power-Law Materials

Esmaeilpour

Korzani

2021

Processes

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Injection of Newtonian fluids to displace pseudoplastic and dilatant fluids, governed by the power-law viscosity relationship, is common in many industrial processes. In these applications, changing the viscosity of the displaced fluid through velocity alteration can regulate interfacial instabilities, displacement efficiency, the thickness of the static wall layer, and the injected fluid’s tendency to move toward particular parts of the channel. The dynamic behavior of the fluid–fluid interface in the case of immiscibility is highly complicated and complex. In this study, a code was developed that utilizes a multi-component model of the lattice Boltzmann method to decrease the computational cost and accurately model these problems. Accordingly, a 2D inclined channel, filled with a stagnant incompressible Newtonian fluid in the initial section followed by a power-law material, was modeled for numerous scenarios. In conclusion, the results indicate that reducing the power-law index can regulate interfacial instabilities leading to dynamic deformation of static wall layers at the top and the bottom of the channel. However, it does not guarantee a reduction in the thickness of these layers, which is crucial to improve displacement efficiency. The impacts of the compatibility factor and power-law index variations on the filling pattern and finger structure were intensively evaluated.

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Section: Modeling Of Non-newtonian Fluidsmentioning

confidence: 99%

Analyzing Impacts of Interfacial Instabilities on the Sweeping Power of Newtonian Fluids to Immiscibly Displace Power-Law Materials

Esmaeilpour

Korzani

2021

Processes

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“…The theme issue includes several contributions on linear and nonlinear fractional viscoelasticity, as applied to various types of materials [50][51][52][53][54][55]. Atanackovic et al [50] investigate the thermo-dynamical restrictions on constitutive equations for viscoelastic fluids, as following from a weak form of entropy inequality under isothermal conditions.…”

Section: Materials Hereditariness: Viscoelasticitymentioning

confidence: 99%

Advanced materials modelling via fractional calculus: challenges and perspectives

Failla

Zingales

2020

Phil. Trans. R. Soc. A.

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Fractional calculus is now a well-established tool in engineering science, with very promising applications in materials modelling. Indeed, several studies have shown that fractional operators can successfully describe complex long-memory and multiscale phenomena in materials, which can hardly be captured by standard mathematical approaches as, for instance, classical differential calculus. Furthermore, fractional calculus has recently proved to be an excellent framework for modelling non-conventional fractal and non-local media, opening valuable prospects on future engineered materials. The theme issue gathers cutting-edge theoretical, computational and experimental studies on advanced materials modelling via fractional calculus, with a focus on complex phenomena and non-conventional media. This article is part of the theme issue ‘Advanced materials modelling via fractional calculus: challenges and perspectives’.

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“…The equivalent controller for a standard feedback loop, as usually encountered in industrial applications, obtained based on the IMC methodology is given in (3). To implement this controller, an alternative form is preferred, as mentioned previously, with an integer order PI controller in series with the fractional order filter in (4). The new mathematical model for this fractional order equivalent controller is given as:…”

Section: Event-based Algorithm For Fo-imc Controllersmentioning

confidence: 99%

“…Step 4: Select the parameters of the NRTF approximation method for the discrete-time approximation of the fractional order filter in (4): N, ω h , and δ. The sampling period T s is indirectly obtained as ω h = π T s .…”

Section: A Brief Overview Of the Nrtf Approximation Approachmentioning

confidence: 99%

“…This is seconded by the demonstrated ability of fractional order controllers to meet more design specifications and provide for overall increased robustness and performance. Several researchers have used fractional order tools to model more accurately viscoelastic phenomena [1], aerodynamics [2], structural engineering [3], non-Newtonian characteristics in blood [4,5], type 1 diabetes [6], diffusion phenomena in magnetic resonance imaging [7], post-exposure prophylaxis model in HIV [8], epidemic models for infectious diseases [9], biochemical phenomena [10], etc.…”

Section: Introductionmentioning

confidence: 99%

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Event-Based Implementation of Fractional Order IMC Controllers for Simple FOPDT Processes

2020

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Fractional order calculus has been used to generalize various types of controllers, including internal model controllers (IMC). The focus of this manuscript is towards fractional order IMCs for first order plus dead-time (FOPDT) processes, including delay and lag dominant ones. The design is novel at it is based on a new approximation approach, the non-rational transfer function method. This allows for a more accurate approximation of the process dead-time and ensures an improved closed loop response. The main problem with fractional order controllers is concerned with their implementation as higher order transfer functions. In cases where central processing unit CPU, bandwidth allocation, and energy usage are limited, resources need to be efficiently managed. This can be achieved using an event-based implementation. The novelty of this paper resides in such an event-based algorithm for fractional order IMC (FO-IMC) controllers. Numerical results are provided for lag and delay dominant FOPDT processes. For comparison purposes, an integer order PI controller, tuned according to the same performance specifications as the FO-IMC, is also implemented as an event-based control strategy. The numerical results show that the proposed event-based implementation for the FO-IMC controller is suitable and provides for a smaller computational effort, thus being more suitable in various industrial applications.

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Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids

Cited by 42 publications

References 35 publications

Analyzing Impacts of Interfacial Instabilities on the Sweeping Power of Newtonian Fluids to Immiscibly Displace Power-Law Materials

Analyzing Impacts of Interfacial Instabilities on the Sweeping Power of Newtonian Fluids to Immiscibly Displace Power-Law Materials

Advanced materials modelling via fractional calculus: challenges and perspectives

Event-Based Implementation of Fractional Order IMC Controllers for Simple FOPDT Processes

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