Implementation of Smoothed-Particle Hydrodynamics for non-linear Pennes’ bioheat transfer equation

Ghazanfarian, Jafar; Saghatchi, Roozbeh; Patil, Dhiraj V.

doi:10.1016/j.amc.2015.02.036

Cited by 25 publications

(11 citation statements)

References 41 publications

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“…However, it had been used for simulating a broad range of physical problems including free surface, [32][33][34] turbulent, 35,36 multi-phase, 15,37,38 heat transfer, 39,40 and biological problems. 41,42 In this section, the SPH method is described in more detail, which is used in our simulation.…”

Section: Methodsmentioning

confidence: 99%

Electrohydrodynamics of a droplet in a highly confined domain: A numerical study

2020

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In this paper, electrohydrodynamics (EHD) deformation of a droplet in a highly confined domain is studied by using the incompressible smoothed particle hydrodynamics method. Simulations are performed for six different systems of a droplet and ambient fluid corresponding to different electrical properties. The effects of confinement ratios, from 0 to 0.95, on the droplet deformation are discussed thoroughly. It is shown that the deformation is highly dependent on the ratios of electrical permittivity, electrical conductivity, and confinement ratio. To demonstrate the droplet behavior, electric force components on the droplet interface are calculated and discussed in detail. It is shown that the interaction of these forces plays a major role in the droplet deformation. Furthermore, it is illustrated that the pressure force becomes significant at high confinement ratios and affects the droplet behavior in addition to the electric forces. Different values of unbounded deformation are selected for the EHD simulation. The effect of unbounded deformation on the droplet behavior is also discussed, and it is found that the unbounded deformation influence is important in some of the systems and confinement ratios.

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Section: Methodsmentioning

confidence: 99%

Electrohydrodynamics of a droplet in a highly confined domain: A numerical study

2020

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“…Saghatchi and Ghazanfarian [165] and Ghazanfarian et al [166] presented a novel SPH method for the solution of the dual-phase-lag non-Fourier model concerning nanoscale geometry. They also presented a SPH technique for applying the Robintype temperature jump boundary condition.…”

Section: Smoothed Particle Hydrodynamicsmentioning

confidence: 99%

Macro- to Nanoscale Heat and Mass Transfer: The Lagging Behavior

2015

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The classical model of the Fourier's law is known as the most common constitutive relation for thermal transport in various engineering materials. Although the Fourier's law has been widely used in a variety of engineering application areas, there are many exceptional applications in which the Fourier's law is questionable. This paper gathers together such applications. Accordingly, the paper is divided into two parts. The first part reviews the papers pertaining to the fundamental theory of the phase-lagging models and the analytical and numerical solution approaches. The second part wrap ups the various applications of the phase-lagging models including the biological materials, ultra-high-speed laser heating, the problems involving moving media, micro/nanoscale heat transfer, multi-layered materials, the theory of thermoelasticity, heat transfer in the material defects, the diffusion problems we call as the non-Fick models, and some other applications. It is predicted that the interest in the field of phase-lagging heat transport has grown incredibly in recent years because they show good agreement with the experiments across a wide range of length and time scales.

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“…In [100], the authors implemented an SPH approach to solve the non-linear Pennes bioheat transfer equation for skin tissue. Here, the Cattaneo and Vernotte (CV) model was incorporated to overcome the paradox of an infinite sound speed, using the dual-phase-lag (DPL) model for the heat flux vector, while capturing the non-linear behavior of the model using the temperature-dependent conductivity.…”

Section: Biological Soft Tissuesmentioning

confidence: 99%

Meshfree and Particle Methods in Biomechanics: Prospects and Challenges

Zhang

Ademiloye

Liew

2018

Arch Computat Methods Eng

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The use of meshfree and particle methods in the field of bioengineering and biomechanics has significantly increased. This may be attributed to their unique abilities to overcome most of the inherent limitations of mesh-based methods in dealing with problems involving large deformation and complex geometry that are common in bioengineering and computational biomechanics in particular. This review article is intended to identify, highlight and summarize research works on topics that are of substantial interest in the field of computational biomechanics in which meshfree or particle methods have been employed for analysis, simulation or/and modeling of biological systems such as soft matters, cells, biological soft and hard tissues and organs. We also anticipate that this review will serve as a useful resource and guide to researchers who intend to extend their work into these research areas. This review article includes 333 references. Highlights  We present an up to date review of meshfree and particle methods, including their advantages and limitations.  We comprehensively discuss past and recent applications of meshfree and particle methods in bioengineering and biomechanics.  We identify research areas, directions, and opportunities for the application of meshfree and particle methods in bioengineering and biomechanics.

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Implementation of Smoothed-Particle Hydrodynamics for non-linear Pennes’ bioheat transfer equation

Cited by 25 publications

References 41 publications

Electrohydrodynamics of a droplet in a highly confined domain: A numerical study

Electrohydrodynamics of a droplet in a highly confined domain: A numerical study

Macro- to Nanoscale Heat and Mass Transfer: The Lagging Behavior

Meshfree and Particle Methods in Biomechanics: Prospects and Challenges

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