ON A TWO-FLUID MODEL OF MATTER

1954 ◽  
Vol 32 (6) ◽  
pp. 430-434
Author(s):  
F. A. Kaempffer
Keyword(s):  
Electromagnetic Field ◽  
Quantum Theory ◽  
Negative Charge ◽  
Velocity Potential ◽  
Fluid Model ◽  
Quantum Hydrodynamics ◽  
Different Types ◽  
General Program ◽  
Two Fluid Model ◽  
Two Fluid

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.

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

2020 ◽  
pp. 1-22
Author(s):  
Zeng Zhang
Keyword(s):  
Electromagnetic Field ◽  
Transfer Coefficient ◽  
Fluid Model ◽  
Navier Stokes ◽  
Maxwell System ◽  
Ohm’S Law ◽  
Momentum Transfer Coefficient ◽  
Ohm's Law ◽  
Two Fluid Model ◽  
Two Fluid

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.

scholarly journals Natural modes of the two-fluid model of two-phase flow

2021 ◽  
Vol 33 (3) ◽  
pp. 033324
Author(s):  
Alejandro Clausse ◽  
Martín López de Bertodano
Keyword(s):  
Two Phase Flow ◽  
Fluid Model ◽  
Phase Flow ◽  
Two Phase ◽  
Natural Modes ◽  
Two Fluid Model ◽  
Two Fluid

Self-consistent hydrodynamic two-fluid model of vortex plasma

2021 ◽  
Vol 33 (3) ◽  
pp. 037116
Author(s):  
Victor L. Mironov
Keyword(s):  
Fluid Model ◽  
Self Consistent ◽  
Two Fluid Model ◽  
Two Fluid

scholarly journals Mathematical study on two-fluid model for flow of K–L fluid in a stenosed artery with porous wall

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
R. Ponalagusamy ◽  
Ramakrishna Manchi
Keyword(s):  
Theoretical Study ◽  
Fluid Model ◽  
Porous Wall ◽  
Governing Equations ◽  
Rate Of Increase ◽  
Special Cases ◽  
Stenosed Artery ◽  
Flow Through ◽  
Two Fluid Model ◽  
Two Fluid

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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