A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media

Katiyar, Amit; Agrawal, Shivam; Ouchi, Hisanao; Seleson, Pablo; Foster, Janet; Sharma, Mukul M.

doi:10.1016/j.jcp.2019.109075

Cited by 33 publications

(9 citation statements)

References 14 publications

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“…These effects include multiscale behavior and anomalous behavior such as super-and sub-diffusion, making nonlocal models suitable for a broad class of engineering and scientific applications. Such applications include subsurface transport, 11,38,39,59,60 image processing, 1,33,42 multiscale and multiphysics systems, 6,8,27 magnetohydrodynamic, 58 phase transitions, 10,14,16 finance, 57,54 stochastic processes, 12,19,45,47,48 and, more recently, fractional back propagation in training neural networks, where a fractional gradient is used in place of the standard gradient. 69 Nonlocal models are characterized by integral operators acting on the values of a function on nonlocal neighborhoods; these are usually Euclidean balls of radius δ > 0, which is referred to as the horizon or interaction radius.…”

Section: Introductionmentioning

confidence: 99%

Towards a Unified Theory of Fractional and Nonlocal Vector Calculus

D’Elia¹,

Gulian²,

Olson³

et al. 2020

Preprint

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Nonlocal and fractional models capture effects that classical (or standard) partial differential equations cannot describe; for this reason, they are suitable for a broad class of engineering and scientific applications that feature multiscale or anomalous behavior. This has driven a desire for a vector calculus based on nonlocal and fractional derivatives to derive models of, e.g., subsurface transport, turbulence, and conservation laws. In the literature, several independent definitions and theories of nonlocal and fractional vector calculus have been put forward. Some have been studied rigorously and in depth, while others have been introduced ad-hoc for specific applications. At the moment, this fragmented literature suffers from a lack of rigorous comparison and unified notation, hindering the development of nonlocal modeling. The ultimate goal of this work is to provide a new theory and to "connect all the dots" by defining a universal form of non-1

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Section: Introductionmentioning

confidence: 99%

Towards a Unified Theory of Fractional and Nonlocal Vector Calculus

D’Elia¹,

Gulian²,

Olson³

et al. 2020

Preprint

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“…We refer to these phenomena, in a general sense, as nonlocal effects. Even though this work is mostly focused on nonlocal models for diffusion and mechanics applications, nonlocal models can characterize a wide range of scientific and engineering problems, including subsurface transport [17,62,63,97,98], phase transitions [10,27,29], image processing [23,52,74], multiscale and multiphysics systems [2,3,42,104], magnetohydrodynamic turbulence [96], and stochastic processes [24,32,79,82].…”

Section: Nonlocal Models and The Need Of Coupling Methodsmentioning

confidence: 99%

A review of Local-to-Nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics

D’Elia¹,

Li²,

Seleson³

et al. 2019

Preprint

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Local-to-Nonlocal (LtN) coupling refers to a class of methods aimed at combining nonlocal and local modeling descriptions of a given system into a unified coupled representation. This allows to consolidate the accuracy of nonlocal models with the computational expediency of their local counterparts, while often simultaneously removing additional nonlocal modeling issues such as surface effects. The number and variety of proposed LtN coupling approaches have significantly grown in recent year, yet the field of LtN coupling continues to grow and still has open challenges. This review provides an overview of the state-of-the-art of LtN coupling in the context of nonlocal diffusion and nonlocal mechanics, specifically peridynamics. We present a classification of LtN coupling methods and discuss common features and challenges. The goal of this review is not to provide a preferred way to address LtN coupling but to present a broad perspective of the field, which would serve as guidance for practitioners in the selection of appropriate LtN coupling methods based on the characteristics and needs of the problem under consideration.

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“…Buongiorno 2 identified thermophoresis results and Brownian motion as critical factors that influence the capability of materials production to transmit temperature. Katiyar et al 3 examined the basic dynamic effectiveness technique for fluid motion in porous media. In a virtual sample with a temperature gradient, Hayat et al 4 examined the stream of fluid (Carreau fluid).…”

Section: Introductionmentioning

confidence: 99%

Computational framework of cobalt ferrite and silver-based hybrid nanofluid over a rotating disk and cone: a comparative study

Farooq

Waqas

Fatima

et al. 2023

Sci Rep

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The dominant characteristics of hybrid nanofluids, including rapid heat transfer rates, superior electrical and thermal conductivity, and low cost, have effectively piqued the interest of global researchers. The current study will look at the impacts of a silver and cobalt ferrite-based hybrid nanofluid with MHD between a revolving disk and cone. The collection of partial differentiable equations is converted into a set of ODEs via similarity transformations. We used the Homotopy analysis approach from the BVPh 2.0 package to solve the ordinary differential equations. The volume proportion of nanoparticles increases and the temperature distribution profile also increased. It is more efficient for metallurgical, medicinal, and electrical applications. Furthermore, the antibacterial capabilities of silver nanoparticles might be used to restrict the growth of bacteria. A circulating disc with a stationary cone has been identified to provide the optimal cooling of the cone disc device while maintaining the outer edge temperature constant. This study's findings might be useful in materials science and engineering. The usage of hybrid nanofluid in heat transfer and heat pumps, coolants in manufacturing and production, producing cooling, refrigerators, solar thermal collectors, and heating, air conditioning, and climate control applications are only a few examples.

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A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media

Cited by 33 publications

References 14 publications

Towards a Unified Theory of Fractional and Nonlocal Vector Calculus

Towards a Unified Theory of Fractional and Nonlocal Vector Calculus

A review of Local-to-Nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics

Computational framework of cobalt ferrite and silver-based hybrid nanofluid over a rotating disk and cone: a comparative study

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