Finite-Larmor-radius-induced global geodesic acoustic modes—a two-fluid model

2021 ◽  
Vol 61 (10) ◽  
pp. 106024
Author(s):  
Yu Wang ◽  
Tianchun Zhou ◽  
Xiaogang Wang
2006 ◽  
Vol 20 (16) ◽  
pp. 931-961 ◽  
Author(s):  
DANIELE DEL SARTO ◽  
F. CALIFANO ◽  
F. PEGORARO

Some topological aspects of the magnetic reconnection phenomenon are summarized and recent numerical results, derived within a two-fluid model, of two-dimensional collisionless magnetic reconnection in presence of a strong guide field are reported. Both the Alfvèn and the whistler frequency range are investigated by including electron parallel compressibility effects that are related respectively to thermal effects and to density fluctuations. The Hamiltonian character of the system is emphasized as it drives the small scale dynamics through the presence of topological invariants. These determine the formation and the shape of small scale current and vorticity layers inside the magnetic island. Secondary fluid instabilities, mainly of the Kelvin–Helmholtz type, can destabilize these layers when a hydrodynamic type regime is achieved. The inclusion of parallel electron compressibility has stabilizing effects. In view of the limitations of the two-fluid modelling, possible developments are briefly discussed such as the inclusion of Larmor-radius corrections, in lieu of a fully kinetic approach.


1969 ◽  
Vol 24 (6) ◽  
pp. 977-990
Author(s):  
H. Belitz ◽  
E. Kugler

In order to study the behaviour of a theoretically MHD-stable spindle cusp plasma, produced and heated by means of a fast rising magnetic cups field (Bmax = 75 kG), various diagnostic tech­niques were used to measure the plasma parameters (the radius R and the shape of the plasma; the electron and ion temperature Te and Ti density n). During the time of observation (≈ 12 μsec) the plasma shape does not change and no MHD-instabilities could be detected. Because of cusp- losses, however, density and temperatures decay to about 30 - 50% of their maximum values (Te = 145 eV, Ti = 255 eV, n = 3,8× 1O16 cm-3). There is experimental evidence that the loss areas of line- and point cusps are nearly equal. The experimental results are fairly well described by a two fluid model of Hobbs and Spalding, if the total loss area is put equal to 1.2 × 2π R ri (ri = mean ion Larmor radius on the plasma boundary).


2021 ◽  
Vol 33 (3) ◽  
pp. 033324
Author(s):  
Alejandro Clausse ◽  
Martín López de Bertodano

2021 ◽  
Vol 33 (3) ◽  
pp. 037116
Author(s):  
Victor L. Mironov

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
R. Ponalagusamy ◽  
Ramakrishna Manchi

AbstractThe present communication presents a theoretical study of blood flow through a stenotic artery with a porous wall comprising Brinkman and Darcy layers. The governing equations describing the flow subjected to the boundary conditions have been solved analytically under the low Reynolds number and mild stenosis assumptions. Some special cases of the problem are also presented mathematically. The significant effects of the rheology of blood and porous wall of the artery on physiological flow quantities have been investigated. The results reveal that the wall shear stress at the stenotic throat increases dramatically for the thinner porous wall (i.e. smaller values of the Brinkman and Darcy regions) and the rate of increase is found to be 18.46% while it decreases for the thicker porous wall (i.e. higher values of the Brinkman and Darcy regions) and the rate of decrease is found to be 10.21%. Further, the streamline pattern in the stenotic region has been plotted and discussed.


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