Identification of the Structures for Low Reynolds Number Flow in the Strong Magnetic Field

Pleskacz, Łukasz; Fornalik-Wajs, Elżbieta

doi:10.3390/fluids4010036

Cited by 6 publications

(6 citation statements)

References 17 publications

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“…The horizontal cross-sections (Figures 5 and 6b,c) showed symmetry of the velocity field with respect to the YZ plane. What is more, the structures obtained for the cross-section located in the XZ (horizontal) (Figures 5 and 6b) plane and for the cross-section parallel and below to this plane (Figures 5 and 6b) were similar to the M-shaped flow structure presented in References [17,19]. Increasing the value of the Prandtl number up to Pr = 10 led to a significant reduction of visible magnetic field interference with the flow structure (Figures 7 and 8).…”

Section: Resultssupporting

confidence: 76%

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Asymmetrical Thermal Boundary Condition Influence on the Flow Structure and Heat Transfer Performance of Paramagnetic Fluid-Forced Convection in the Strong Magnetic Field

Pleskacz

Fornalik-Wajs

Gurgul

2020

Fluids

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Continuous interest in space journeys opens the research fields, which might be useful in non-terrestrial conditions. Due to the lack of the gravitational force, there will be a need to force the flow for mixing or heat transfer. Strong magnetic field offers the conditions, which can help to obtain the flow. In light of this origin, presented paper discusses the dually modified Graetz-Brinkman problem. The modifications were related to the presence of the magnetic field influencing the flow and asymmetrical thermal boundary condition. Dimensionless numerical analysis was performed, and two dimensionless numbers (magnetic Grashof number and magnetic Richardson number) were defined for paramagnetic fluid flow. The results revealed the heat transfer enhancement due to the strong magnetic field influence accompanied by possible but not essential flow structure modifications. On the other hand, the flow structure changes can be utilized to prevent the solid particles’ sedimentation. The explanation of the heat transfer enhancement including energy budget and vorticity distribution was presented.

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Section: Resultssupporting

confidence: 76%

“…The topic of forced convection of paramagnetic fluid under the influence of a strong magnetic field was firstly presented by Ozoe [17]. He was followed by the authors, who undertook his work, in References [18,19].…”

Section: Introductionmentioning

confidence: 99%

Asymmetrical Thermal Boundary Condition Influence on the Flow Structure and Heat Transfer Performance of Paramagnetic Fluid-Forced Convection in the Strong Magnetic Field

Pleskacz

Fornalik-Wajs

Gurgul

2020

Fluids

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“…Thus, the length of the initial segment in a magnetic field is a function of the ratio of ponderomotive forces to viscous forces. It should be noted that in the study of the hydrodynamic initial section in a magnetic field [7,18,21], the length of the initial section was assumed to be:…”

Section: Ha H 2 Y 2l U Ymentioning

confidence: 99%

Analysis of factors affecting destabilization of a viscous liquid flow in channels

MAMEDOV,

HNATIV,

YAKHNO

et al. 2023

International Journal of Applied Mechanics and Engineering

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An analysis of the influence of inertia forces and ponderomotive forces on the destabilization of the flow of viscous fluids in the hydrodynamic initial section is given. Cases of flow of viscous, anomalously viscous and electrically conductive liquids are considered; the degree of influence of mass forces on the destabilization of the flow is estimated. As applied to the flow in the hydrodynamic initial section, the degree of influence of inertia forces from convective acceleration and forces with a magnetic nature can be different. Inertia forces stimulate the accelerated movement of the fluid, and in the case of forces with a magnetic nature, ponderomotive forces contribute to deceleration, which is confirmed by the results of studies of the velocity field. Recommendations are given for calculating the length of the hydrodynamic initial section in the presence of mass forces with different nature.

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“…The magnetic field gradient force, which is due to a field gradient in electrochemical systems when the field is non-uniform, has been investigated and discussed by several groups as well. Their results show a transport of paramagnetic species in electrolytic solutions toward regions of higher magnetic flux densities when exposed to inhomogeneous static magnetic fields [12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 97%

On the Origin of the Magnetic Concentration Gradient Force and Its Interaction Mechanisms with Mass Transfer in Paramagnetic Electrolytes

Waskaas

2021

Fluids

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The objective of this work is to analyze the origin of the magnetic concentration gradient force. The force will be studied in a diffusion system where a paramagnetic electrolyte diffuses through a thin, inert membrane under the influence of a homogeneous magnetic field. The force will be analyzed using the theory of magnetic circuits, i.e., by the concept of minimum reluctance principles. In addition, based on some previous studies, it will be discussed whether the minimum reluctance principle can be applied to mass transfer into and out of the diffusion layer at electrode/electrolyte interfaces. The results show that the magnetic concentration gradient force arises as a consequence of the minimum reluctance principle. Applied to the diffusion system, the magnetic concentration gradient force arises in the membrane as a consequence of the concentration gradient and hence, the reluctance gradient. The force acts on the flow in such a way that the reluctance in the membrane is minimized. The force implies two interaction mechanisms: attraction of the paramagnetic electrolyte flowing into the membrane in order to decrease the reluctance, and hindrance of the paramagnetic electrolyte flowing out of the membrane in order to hinder an increase in the reluctance. Based on previous studies, it is shown that the minimum reluctance principle can be applied to mass transfer into or out of the diffusion layer at electrode/electrolyte interfaces as well.

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Identification of the Structures for Low Reynolds Number Flow in the Strong Magnetic Field

Cited by 6 publications

References 17 publications

Asymmetrical Thermal Boundary Condition Influence on the Flow Structure and Heat Transfer Performance of Paramagnetic Fluid-Forced Convection in the Strong Magnetic Field

Asymmetrical Thermal Boundary Condition Influence on the Flow Structure and Heat Transfer Performance of Paramagnetic Fluid-Forced Convection in the Strong Magnetic Field

Analysis of factors affecting destabilization of a viscous liquid flow in channels

On the Origin of the Magnetic Concentration Gradient Force and Its Interaction Mechanisms with Mass Transfer in Paramagnetic Electrolytes

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