Confinement of paramagnetic ions under magnetic field influence: Lorentz versus concentration gradient force based explanations

2007 ◽  
Vol 9 (10) ◽  
pp. 2479-2483 ◽  
Author(s):  
Tom Weier ◽  
Kerstin Eckert ◽  
Sascha Mühlenhoff ◽  
Christian Cierpka ◽  
Andreas Bund ◽  
...  
Fluids ◽  
2021 ◽  
Vol 6 (3) ◽  
pp. 114
Author(s):  
Magne Waskaas

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.


2019 ◽  
Vol 11 (5) ◽  
pp. 05013-1-05013-5
Author(s):  
V. Ye. Marchuk ◽  
◽  
M. V. Kindrachuk ◽  
V. I. Mirnenko ◽  
R. G. Mnatsakanov ◽  
...  

2008 ◽  
Author(s):  
Amange F. Boya ◽  
Abdulghafoor I. Abdullah

Author(s):  
Francisco J. Arias ◽  
Salvador A. De Las Heras

Abstract In this work, consideration is given to capillary convection on ferrofluids from the concentration gradient induced when a nonhomogeneous magnetic field is applied. It is known that mass transfer along an interface between two fluids can appear due to a gradient of the surface tension in the so-called Marangoni effect (or Gibbs–Marangoni effect). Because the surface tension is both thermal and concentration dependent, Marangoni convection can be induced by either a thermal or a concentration gradient, where in the former case, it is generally referred as thermocapillary convection. Now, it has been theoretically and experimentally demonstrated that a ferrofluid under the action of a non-homogeneous magnetic field can induce a concentration gradient of suspended magnetic nanoparticles, and also the effect of Fe3O4 nanoparticles on the surface tension has been measured. Therefore, by deductive reasoning and taking into account the above mentioned facts, it is permissible to infer ferrohydrodynamic capillary convection on magnetic fluids under the presence of a magnetic gradient field. Utilizing a simplified physical model, the phenomenon was investigated and it was found that ferrohydrodynamic-Marangoni convection could be induced with particle size in the range up to 10 nm, which is the range of magnetic fluids to escape magnetic agglomeration.


2014 ◽  
Vol 31 (86(3/2014)) ◽  
pp. 425-432 ◽  
Author(s):  
Łukasz Pleskacz ◽  
Elżbieta Fornalik-Wajs ◽  
Aleksandra Roszko

2014 ◽  
Vol 11 (5-6) ◽  
pp. 986-988
Author(s):  
A. Chizhik ◽  
M. Ipatov ◽  
A. Stupakiewicz ◽  
A. Zhukov ◽  
A. Maziewski ◽  
...  

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