TWO-DIMENSIONAL POWER SERIES APPROXIMATION OF EQUATION-OF-STATE SURFACES

1980 ◽  
pp. 193
Author(s):  
Horst P. Richter
Keyword(s):  
Equation Of State ◽  
Power Series ◽  
Two Dimensional ◽  
Series Approximation

Reduction of partially invariant submodels of rank 3 defect 1 to invariant submodels

2018 ◽  
Vol 13 (3) ◽  
pp. 59-63 ◽  
Author(s):  
D.T. Siraeva
Keyword(s):  
Equation Of State ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Gas Dynamics ◽  
Hydrodynamic Type ◽  
System Of Equations ◽  
Two Dimensional ◽  
Equations Of Gas Dynamics ◽  
Entropy Functions

Equations of hydrodynamic type with the equation of state in the form of pressure separated into a sum of density and entropy functions are considered. Such a system of equations admits a twelve-dimensional Lie algebra. In the case of the equation of state of the general form, the equations of gas dynamics admit an eleven-dimensional Lie algebra. For both Lie algebras the optimal systems of non-similar subalgebras are constructed. In this paper two partially invariant submodels of rank 3 defect 1 are constructed for two-dimensional subalgebras of the twelve-dimensional Lie algebra. The reduction of the constructed submodels to invariant submodels of eleven-dimensional and twelve-dimensional Lie algebras is proved.

4. States of matter

2014 ◽  
pp. 51-69
Author(s):  
Peter Atkins
Keyword(s):  
Nuclear Magnetic Resonance ◽  
Liquid Crystals ◽  
Magnetic Resonance ◽  
Equation Of State ◽  
Soft Matter ◽  
Van Der Waals ◽  
Two Dimensional ◽  
X Ray Diffraction ◽  
Van Der Waals Equation ◽  
Intermediate States

‘States of matter’ describes the three traditional states — gas, liquid, and solid — and the models used to predict and understand their behaviour. The van der Waals equation of state captures many of the properties of real gases. The classical way of studying the motion of molecules in liquids is to measure its viscosity. Techniques include neutron scattering and nuclear magnetic resonance. X-ray diffraction is used to determine the structures of solids. Intermediate states of matter — where liquid meets gas and liquid meets solid — are also considered. Examples include supercritical fluids, soft matter such as liquid crystals, and graphene, a remarkable and essentially two-dimensional material.

scholarly journals Modeling Tidal Effects in Accretion Discs

1997 ◽  
Vol 163 ◽  
pp. 335-338
Author(s):  
Patrick Godon
Keyword(s):  
Equation Of State ◽  
White Dwarf ◽  
Accretion Discs ◽  
Time Dependent ◽  
Two Dimensional ◽  
Mass Ratio ◽  
Tidal Effects ◽  
Azimuthal Mode ◽  
Polytropic Equation

AbstractA two-dimensional time-dependent spectral code is used for the study of tidal effects in accretion discs. A cool disc around a white dwarf (characteristic of CV systems) is modeled under the assumption of a polytropic equation of state and a standard alpha viscosity prescription. For a mass ratio q < 0.1 (considered here) and under the assumption of a reflective inner boundary, tidal effects induce an eccentric (m=l azimuthal) mode in the disc together with an elliptic (m=2 azimuthal) mode in the inner disc.

Equation of state for two-dimensional fluids with hard cyclicn-mer molecules

1995 ◽  
Vol 86 (6) ◽  
pp. 1387-1396 ◽  
Author(s):  
M.J. Maeso ◽  
J.R. Solana
Keyword(s):  
Equation Of State ◽  
Two Dimensional
Sign in / Sign up

Export Citation Format

Share Document