Stationary Continuum Movement of an Ideal Fluid

2011 ◽  
pp. 137-149
Keyword(s):  
Ideal Fluid

scholarly journals Port-Hamiltonian modeling of ideal fluid flow: Part I. Foundations and kinetic energy

2021 ◽  
Vol 164 ◽  
pp. 104201 ◽  
Author(s):  
Ramy Rashad ◽  
Federico Califano ◽  
Frederic P. Schuller ◽  
Stefano Stramigioli
Keyword(s):  
Fluid Flow ◽  
Kinetic Energy ◽  
Ideal Fluid ◽  
Ideal Fluid Flow ◽  
Flow Part

Ideal fluid jets

1968 ◽  
Vol 6 (6) ◽  
pp. 317-328 ◽  
Author(s):  
A.E. Green ◽  
N. Laws
Keyword(s):  
Ideal Fluid ◽  
Fluid Jets

Perturbations of an anisotropic spacetime: Ideal fluid

1995 ◽  
Vol 52 (10) ◽  
pp. 5643-5652 ◽  
Author(s):  
Hyerim Noh ◽  
Jai-chan Hwang
Keyword(s):  
Ideal Fluid

scholarly journals Energy–Vorticity Theory of Ideal Fluid Mechanics

2009 ◽  
Vol 66 (7) ◽  
pp. 2073-2084 ◽  
Author(s):  
Peter Névir ◽  
Matthias Sommer
Keyword(s):  
Fluid Mechanics ◽  
Shallow Water ◽  
Ideal Fluid ◽  
Characteristic Property ◽  
Incompressible Flows ◽  
Climate Simulations ◽  
Shallow Water Models ◽  
Complete Analogy ◽  
Potential Enstrophy

Abstract Nambu field theory, originated by Névir and Blender for incompressible flows, is generalized to establish a unified energy–vorticity theory of ideal fluid mechanics. Using this approach, the degeneracy of the corresponding noncanonical Poisson bracket—a characteristic property of Hamiltonian fluid mechanics—can be replaced by a nondegenerate bracket. An energy–vorticity representation of the quasigeostrophic theory and of multilayer shallow-water models is given, highlighting the fact that potential enstrophy is just as important as energy. The energy–vorticity representation of the hydrostatic adiabatic system on isentropic surfaces can be written in complete analogy to the shallow-water equations using vorticity, divergence, and pseudodensity as prognostic variables. Furthermore, it is shown that the Eulerian equation of motion, the continuity equation, and the first law of thermodynamics, which describe the nonlinear evolution of a 3D compressible, adiabatic, and nonhydrostatic fluid, can be written in Nambu representation. Here, trilinear energy–helicity, energy–mass, and energy–entropy brackets are introduced. In this model the global conservation of Ertel’s potential enstrophy can be interpreted as a super-Casimir functional in phase space. In conclusion, it is argued that on the basis of the energy–vorticity theory of ideal fluid mechanics, new numerical schemes can be constructed, which might be of importance for modeling coherent structures in long-term integrations and climate simulations.

ON MAGNETIC SELF-COLLIMATION OF RELATIVISTIC JETS

2010 ◽  
Vol 19 (06) ◽  
pp. 689-694
Author(s):  
N. GLOBUS ◽  
V. CAYATTE ◽  
C. SAUTY
Keyword(s):  
Black Hole ◽  
Total Energy ◽  
Ideal Fluid ◽  
Polar Axis ◽  
Kerr Metric ◽  
Relativistic Jets ◽  
Simple Criterion ◽  
General Relativistic ◽  
Time Splitting ◽  
Relativistic Magnetohydrodynamics

We present a semi-analytical model using the equations of general relativistic magnetohydrodynamics (GRMHD) for jets emitted by a rotating black hole. We assume steady axisymmetric outflows of a relativistic ideal fluid in Kerr metrics. We express the conservation equations in the frame of the FIDucial Observer (FIDO or ZAMO) using a 3+1 space–time splitting. Calculating the total energy variation between a non-polar field line and the polar axis, we extend to the Kerr metric the simple criterion for the magnetic collimation of jets obtained for a nonrotating black hole by Meliani et al.10 We show that the black role rotation induced a more efficient magnetic collimation of the jet.

On the Static Bifurcation of a Moving Heated Panel Streamlined by an Ideal Fluid

2020 ◽  
Vol 55 (7) ◽  
pp. 1071-1076
Author(s):  
N. V. Banichuk ◽  
V. S. Afanas’ev ◽  
S. Yu. Ivanova
Keyword(s):  
Ideal Fluid
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