A convergence to the Navier–Stokes–Maxwell system with solenoidal Ohm's law from a two-fluid model

Author(s):  
Zeng Zhang

We show the incompressible Navier–Stokes–Maxwell system with solenoidal Ohm's law can be derived from the two-fluid incompressible Navier–Stokes–Maxwell system when the momentum transfer coefficient tends to zero. The strategy is based on the decay and dissipative properties of the electromagnetic field.

2019 ◽  
Vol 30 (01) ◽  
pp. 1950008
Author(s):  
Lu Wang ◽  
Jiangrong Xu

According to experimental observations, laden particles in turbulence may attenuate or augment the carrier phase turbulence. But until now, there are no widely recognized models for estimating the so-called turbulence modulation phenomenon. In this paper, a novel two-fluid model is proposed based on the probability density function (PDF) approach. The Reynolds stress equation of the present model contains both production and dissipation terms due to the presence of particles, the turbulence modulation phenomenon can be well explained with the new model. To further explore the two-fluid model, a comparative study on PDF and Reynolds-averaged approaches is carried on, the differences and relations between the present model and the classical two-fluid Reynolds averaged Navier–Stokes (RANS) model are analyzed in the paper. Theoretical and numerical analysis indicates that the proposed model shows particular promise for predicting particle-laden turbulent flows.


1954 ◽  
Vol 32 (6) ◽  
pp. 430-434
Author(s):  
F. A. Kaempffer

The theory of Pauli and Weisskopf is reformulated in hydrodynamical terms by introduction of a suitable density ρ and a suitable velocity potential [Formula: see text]. The Hamiltonian of the system is expressed in terms of ρ, [Formula: see text], and their canonical momenta. In accordance with a general program proposed by the author the transition to quantum theory is carried out along the lines of quantum hydrodynamics. The eigenvalues of the Hamiltonian corresponding to excitations of the motion with no net mass flow are obtained. Since these excitations do not give rise to an electromagnetic field, they are tentatively identified with neutrinolike particles. The picture emerging from these considerations is that of two interpenetrating fluids of positive and negative charge, in which different types of elementary particles appear as different types of excitations of the motion.


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

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