DRBEM solutions of Stokes and Navier–Stokes equations in cavities under point source magnetic field

Senel, Pelin; Tezer‐Sezgin, M.

doi:10.1016/j.enganabound.2015.12.007

Cited by 12 publications

(10 citation statements)

References 13 publications

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“…Work [33] studies the development of a laminar blood flow in a tube with a square and round cross-section under exposure to a magnetic field. The series of papers [35][36][37][38] also addressed the influence of a magnetic field on the current character in cavities.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

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Determining the structure of a laminar detachable current in an open cavity

Кravets¹

2019

EEJET

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Виконано тривимiрне чисельне розв'язання тестової задачi про течiю в'язкої нестисливої рiдини в закритiй квадратнiй кавернi з рухомою верхнею гранню. Вказано недолiки математичної постановки задачi про течiю рiдини в закритiй кавернi. Методом скiнченних елементiв проведено чисельне дослiдження структури циркуляцiйного вiдривного ламiнарного руху в'язкої нестисливої рiдини у вiдкритiй кавернi з урахуванням зовнiшньої течiї. Наведено профiлi завихоровостi, товщини пограничного шару, складових компонент швидкостi у рiзних перерiзах каверни, в пограничному шарi, а також у шарi змiшування. Зазвичай при дослiдженнi ламiнарних течiй в кавернах використовують модель каверни з рухомою стiнкою. Але використання задачi за такої постановки накладає обмеження на картину течiї у виглядi прямолiнiйної лiнiї течiї, яка з'єднує верхнi кути каверни, що призводить до невiрної структури вихороутворення в кавернi у цiлому. В рамках даного дослiдження запропоновано постановку задачi, яка долає вказаний недолiк. Рух рiдини в кавернi здiйснюється за рахунок напруження зсуву зовнiшнього потоку в каналi над каверною, що виключає прямолiнiйнiсть лiнiї течiї, яка з'єднує кутовi точки каверни. Достовiрнiсть отриманих результатiв пiдтверджена порiвнянням деяких параметрiв з вiдомими експериментальними даними iнших авторiв. Отриманий науковий результат у виглядi структури вихороутворення в'язкого нестисливого ламiнарного потоку у вiдкритiй кавернi з каналом є цiкавим з теоретичної точки зору. З практичної точки зору виявлена структура течiї дозволяє визначити умови керування потоком в кавернi, i, отже, дозволяє визначити умови оптимiзацiї аеродинамiчних сил, дiючих на каверну. Прикладним аспектом використання отриманого наукового результату є можливiсть застосування його до обтiкання об'єктiв промисловостi: будiвель, мiжвагонного простору залiзничного потяга та iн. Ключовi слова: вiдрив потоку, ламiнарний режим, течiя в кавернi, чисельне моделювання, структура вихороутворення

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Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…Specifically, the authors of [35,36] explore a fully developed laminar flow with the forced convection of electrically non-conducting viscous biomagnetic fluid in a cavity. The liquid is under the influence of a point magnetic source located under the cavity.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Determining the structure of a laminar detachable current in an open cavity

Кravets¹

2019

EEJET

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“…In addition, ferrofluid can exhibit non-Newtonian behaviour [26][27][28][29]. However, most of the available works reported only on the effect of FHD on Newtonian fluid [2,23,[30][31][32][33][34][35][36][37][38][39][40][41][42][43]. Even if the magnetic field effect is included in power-law fluid flow, the works only used magnetic field effect of MHD [44][45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

“…Tzirakis [39] studied biomagnetic fluid flow in circular ducts. For the works on magnetic fluid flow in lid driven cavity, it has been studied by Tzirtzilakis and Xenos [40], Marioni et al [41], Bozkaya et al [42] and by Senel and Tezer-Sezgin [43].…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution of Biomagnetic Power-Law Fluid Flow and Heat Transfer in a Channel

2020

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The effect of non-Newtonian biomagnetic power-law fluid in a channel undergoing external localised magnetic fields is investigated. The governing equations are derived by considering both effects of Ferrohydrodynamics (FHD) and Magnetohydrodynamics (MHD). These governing equations are difficult to solve due to the inclusion of source term from magnetic equation and the nonlinearity of the power-law model. Numerical scheme of Constrained Interpolation Profile (CIP) is developed to solve the governing equations numerically. Extensive results carried out show that this method is efficient on studying the biomagnetic and non-Newtonian power-law flow. New results show that the inclusion of power-law model affects the vortex formation, skin friction and heat transfer parameter significantly. Regardless of the power-law index, the vortex formation length increases when Magnetic number increases. The effect of this vortex however decreases with the inclusion of power-law where in the shear thinning case, the arising vortex is more pronounced than in the shear thickening case. Furthermore, increasing of power-law index from shear thinning to shear thickening, decreases the wall shear stress and heat transfer parameters. However for high Magnetic number, the wall shear stress and heat transfer parameters increase especially near the location of the magnetic source. The results can be used as a guide on assessing the potential effects of radiofrequency fields (RF) from electromagnetic fields (EMF) exposure on blood vessel.

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“…The Dual Reciprocity Boundary Element Method (DRBEM) is essentially a generalized way of constructing particular solutions to the inhomogeneity of the differential equation that can be used to solve non-linear and time dependent problems [13]. Senel and Tezer-Sezgin [14] presented DRBEM solutions of Stokes and Navier-Stokes equations subjected to spatially varying point source magnetic field in circular and rectangular lid-driven cavities. Biomagnetic fluid flow between parallel plates imposed to a magnetic source was investigated by Tezer-Sezgin et al [15].…”

Section: Introductionmentioning

confidence: 99%

Convective Flow of Blood in Square and Circular Cavities

Senel

Tezer‐Sezgin

2018

Analele Universitatii "Ovidius" Constanta - Seria Matematica

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In this study, the fully developed, steady, laminar ow of blood is studied in a long pipe with square and circular cross-sections subjected to a magnetic field generated by an electric wire. Temperature difference between the walls causes heat transfer within the fluid by the displacement of the magnetizable fluid particles in the cavity. The governing equations are the coupled Navier-Stokes and energy equations including magnetization terms. The axial velocity is also computed with the obtained plane velocity. The Dual Reciprocity Boundary Element Method (DRBEM) is used by taking all the terms other than Laplacian as in- homogeneity which transforms the partial differential equations into the boundary integral equations. Numerical results are given for increasing values of Magnetic (Mn) and Rayleigh (Ra) numbers. The numerical results reveal that an increase in Mn accelerates the plane velocity in the cavity but decelerates the axial velocity around the magnetic source. Pressure increases through the channel starting from the magnetic source. Isotherms show the cooling of the channel with high Mn and Ra only leaving a thin hot layer near the top heated wall. As Ra increases viscous effect is reduced leaving its place to convection in the channel. The use of DRBEM has considerably small computational expense compared to domain type methods.

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DRBEM solutions of Stokes and Navier–Stokes equations in cavities under point source magnetic field

Cited by 12 publications

References 13 publications

Determining the structure of a laminar detachable current in an open cavity

Determining the structure of a laminar detachable current in an open cavity

Numerical Solution of Biomagnetic Power-Law Fluid Flow and Heat Transfer in a Channel

Convective Flow of Blood in Square and Circular Cavities

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