Correlations between the Shear Viscosity and Thermal Conductivity Coefficients of Dense Simple Liquids

JETP Letters ◽  
2021 ◽  
Author(s):  
S. A. Khrapak ◽  
A. G. Khrapak
Keyword(s):  
Thermal Conductivity ◽  
Shear Viscosity ◽  
Simple Liquids

scholarly journals Transport Coefficients of Hyperonic Neutron Star Cores

Universe ◽  
2021 ◽  
Vol 7 (6) ◽  
pp. 203
Author(s):  
Peter Shternin ◽  
Isaac Vidaña
Keyword(s):  
Thermal Conductivity ◽  
Neutron Star ◽  
Shear Viscosity ◽  
Transport Coefficients ◽  
Dense Matter ◽  
Baryon Number ◽  
Nucleon Nucleon ◽  
Total Thermal Conductivity ◽  
Nucleon Force ◽  
Density Region

We consider transport properties of the hypernuclear matter in neutron star cores. In particular, we calculate the thermal conductivity, the shear viscosity, and the momentum transfer rates for npΣ−Λeμ composition of dense matter in β–equilibrium for baryon number densities in the range 0.1–1 fm−3. The calculations are based on baryon interactions treated within the framework of the non-relativistic Brueckner-Hartree-Fock theory. Bare nucleon-nucleon (NN) interactions are described by the Argonne v18 phenomenological potential supplemented with the Urbana IX three-nucleon force. Nucleon-hyperon (NY) and hyperon-hyperon (YY) interactions are based on the NSC97e and NSC97a models of the Nijmegen group. We find that the baryon contribution to transport coefficients is dominated by the neutron one as in the case of neutron star cores containing only nucleons. In particular, we find that neutrons dominate the total thermal conductivity over the whole range of densities explored and that, due to the onset of Σ− which leads to the deleptonization of the neutron star core, they dominate also the shear viscosity in the high density region, in contrast with the pure nucleonic case where the lepton contribution is always the dominant one.

Dense fluid shear viscosity and thermal conductivity—the excess

AIChE Journal ◽  
1975 ◽  
Vol 21 (2) ◽  
pp. 410-411 ◽  
Author(s):  
William T. Ashurst ◽  
William G. Hoover
Keyword(s):  
Thermal Conductivity ◽  
Shear Viscosity ◽  
Fluid Shear ◽  
Dense Fluid

Recalculation of the friction constant and transport coefficients of liquid argon from the Rice-Allnatt theory

1971 ◽  
Vol 24 (2) ◽  
pp. 225 ◽  
Author(s):  
AF Collings ◽  
LA Woolf
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Distribution Function ◽  
Shear Viscosity ◽  
Transport Coefficients ◽  
Liquid Argon ◽  
Viscosity Data ◽  
Liquid Region ◽  
Linear Trajectory ◽  
Momentum And Heat Transfer

The linear trajectory approximation of the ?soft? friction constant in the Rice-Allnatt theory of transport has been computed with specific attention to the lower limit of the integral. The results are significantly different from the Palyvos-Davis values for ζS in the dense gas region but agree within 2% in the liquid region. The Rice- Allnatt expressions for the coefficients of shear viscosity and thermal conductivity have been simplified and a correction of a numerical error in the collisional contributions to momentum and heat transfer is made. The coefficients D, η, and λ have been calculated for the corrected ζS and related expressions. No significant change in D is obtained, but a worsening of agreement with experimental viscosities and thermal conductivities occurs. Conversely, a better prediction of the ratio mλ/kη is obtained. More recent viscosity data for liquid argon indicate the theory is less satisfactory than has previously been considered. These results suggest that any improvement of this class of theory can only come through the use of a better representation of the radial distribution function.

Prediction of Thermal Conductivity and Shear Viscosity of Water-Cu Nanofluids Using Equilibrium Molecular Dynamics

2013 ◽  
Author(s):  
Tolga Akıner ◽  
Hakan Ertürk ◽  
Kunt Atalık
Keyword(s):  
Experimental Data ◽  
Thermal Conductivity ◽  
Molecular Dynamics ◽  
Molecular Dynamics Simulation ◽  
Rheological Properties ◽  
Shear Viscosity ◽  
Effective Properties ◽  
Dynamics Simulation ◽  
Modeling Tools ◽  
Macroscopic Modeling

Nanofluids are new class of fluids which can be used for many engineering applications due to their enhanced thermal properties. The macroscopic modeling tools used for flow simulations usually rely on effective thermal and rheological properties of the nanofluids that can be predicted through various effective medium theories. As these theories significantly under-predict, using correlations based on experimental data is considered as the only reliable means for prediction of these effective properties. However, the behavior might change significantly once the particle material or base fluid change due to different particle fluid interactions in the molecular level. One of the most promising means of modeling effective properties of the nanofluids is the molecular dynamics simulations where all the intermolecular effects can be modeled. This study investigates equilibrium molecular dynamics simulation of the water-Cu nanofluids to predict the thermal and rheological properties. The molecular dynamics simulation is carried out to achieve a thermodynamic equilibrium, based on a state that is defined by targeted thermodynamic properties of the system. The Green-Kubo method is used to predict the thermal conductivity and viscosity of the system. The study considers the use of different combining rules such as Lorentz-Berthelot and sixth-power rules for defining the inter-atomic potentials for water modeled by SPC/E and nanoparticles modeled by Lennard-Jones potential. The predicted effective properties that are thermal conductivity and shear viscosity are then compared with experimental data from literature. The predicted transport properties at different temperatures and particle concentrations are compared to experimental data from literature for model validation.

On the transport properties of simple liquids

1986 ◽  
Vol 64 (2) ◽  
pp. 211-214
Author(s):  
S. K. Datta
Keyword(s):  
Shear Viscosity ◽  
Pair Potential ◽  
Viscosity Coefficient ◽  
Simple Fluids ◽  
Jones Potential ◽  
Simple Liquids ◽  
Lennard Jones ◽  
Approximate Nature ◽  
Real Fluids ◽  
Analytical Expressions

Closed analytical expressions for the diffusion coefficient and shear-viscosity coefficient of dense, simple fluids characterized by the Lennard-Jones potential function have been obtained using the Weeks, Chandler, and Andersen criterion for the division of the pair potential. The expressions are then used to calculate these properties for some real fluids. The deviations between the estimated and measured values of the coefficients are attributed mostly to the approximate nature of the Kirkwood and Rice expressions for shear viscosity and the friction coefficient used to calculate those properties.

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