Cell model calculations of dynamic drag parameters in packings of spheres

2000 ◽  
Vol 107 (6) ◽  
pp. 3113-3119 ◽  
Author(s):  
Olga Umnova ◽  
Keith Attenborough ◽  
Kai Ming Li
Keyword(s):  
Cell Model ◽  
Model Calculations

scholarly journals Structural Evaluation of Molten Aluminosilicate by Combining Impedance Measurements and Cell Model Calculations

2020 ◽  
Vol 60 (1) ◽  
pp. 42-50
Author(s):  
Yusuke Harada ◽  
Nobuo Nishioka ◽  
Noritaka Saito ◽  
Kunihiko Nakashima
Keyword(s):  
Cell Model ◽  
Model Calculations ◽  
Impedance Measurements ◽  
Structural Evaluation

A Constitutive Model for Ductile Damage Evolution

2010 ◽  
Vol 452-453 ◽  
pp. 621-624
Author(s):  
Mathias Wallin ◽  
Matti Ristinmaa ◽  
Mattias Olsson
Keyword(s):  
Free Energy ◽  
Constitutive Model ◽  
Volume Fraction ◽  
Cell Model ◽  
Plastic Region ◽  
Volume Ratio ◽  
Yield Function ◽  
Void Volume ◽  
Model Calculations ◽  
Damage Field

A constitutive model for ductile porous material is formulated within the thermodynamic framework. A yield function based on the lower-bound solution for a cylindrical void model embedded in a plastic matrix is proposed. The new yield function is compared to the classical Gurson yield function using cell model calculations. The results reveal that the proposed yield function agreed well with the plastic region found from the cell model calculations. In addition to the influence of the void-volume ratio, the elastic part of the free energy is dependent on a scalar damage field which allows the elasticity to be influenced by the void-volume fraction. The degradation is controlled by a scalar valued damage field and enters the formulation via the Helmholtz's free energy. This dependence allows the elastic properties to naturally depend upon the damage accumulation. The numerical treatment of the model is derived and the capability of the model is demonstrated via numerical simulation of the necking of an axi-symmetric bar.

scholarly journals Temperature Dependence of the Liquid-Vapor Isotopic Fractionation Factors in CD3H-CH4 and CD3F-CH3F Mixtures

1991 ◽  
Vol 46 (1-2) ◽  
pp. 60-68 ◽  
Author(s):  
Anthony M. Popowicz ◽  
Ting-Hai Lub ◽  
Jacob Bigeleisenc
Keyword(s):  
Cell Model ◽  
Pair Correlation ◽  
Small Contribution ◽  
Point Energy ◽  
Model Calculations ◽  
Similar Treatment ◽  
Fractionation Factors ◽  
Good Agreement ◽  
Liquid And Vapor Phases ◽  
Liquid Vapor

AbstractThe liquid-vapor isotope fractionation factors, LVIFF, α = CD3X/CH3X)1/(CD3X/CH3X)v, of CD3H-CH4 and CD3F CH3F mixtures have been measured from 102 160 K and 182 254 K, respectively. The results are in good agreement with previous vapor pressure ratios, VPIE, which cover the ranges 90 112 K and 132 211 K, respectively. Over the temperature ranges of the LVIFF measurements, ln α is negative for the CD3H-CH4 mixture and positive for the CD3F-CH3F mixture. There is significant curvature in a plot of T2 In α vs. T for the CD3H-CH4 mixture. The curvature is related to the densities of the liquid and vapor phases. It is shown that an expansion of the pair correlation function up to powers of the square of the densities of the liquid and vapor phases accounts for the T2 In α vs. T curvature and leads to In a equal to zero at the critical temperature. Correction of the LVIFF values of T2 In a for the density effect gives values for the contributions of translation, rotation and internal vibration in good agreement with previous cell model calculations. Similar treatment of the LVIFF data on the CD3F-CH3F mixture leads to the conclusion that the internal zero point energy effect on the differences in the heats of vaporization of CH3F and CD3F makes a small contribution to the overall difference in free energies of vaporization.

Sound velocity in the inert gas liquids and the law of corresponding states

1967 ◽  
Vol 45 (18) ◽  
pp. 2079-2086 ◽  
Author(s):  
R. A. Aziz ◽  
D. H. Bowman ◽  
C. C. Lim
Keyword(s):  
Cell Model ◽  
Saturated Vapor ◽  
Liquid Argon ◽  
Corresponding States ◽  
Velocity Data ◽  
Model Calculations ◽  
Boiling Points ◽  
Tunnel Model ◽  
Law Of Corresponding States ◽  
Corresponding States Principle

Velocity of sound was measured to an accuracy of 0.1% in liquid argon, krypton, and xenon under saturated vapor conditions by a resonance ultrasonic technique. Measurements in argon and krypton were from their normal boiling points to close to their critical points, while those in xenon were from its triple point to close to its critical point. Adiabatic compressibilities of these liquids were calculated in the temperature regions for which density data were available.Analysis of the results indicates that such velocity data can provide a precise test of the principle of corresponding states, in its classical and quantum forms. The corresponding states principle holds quite well in the above liquids when subjected to this test.The velocity data in all cases agree more closely with tunnel model calculations than with cell model calculations.

Effects of Ambipolar Diffusion on Prominence Thread Models

1994 ◽  
Vol 144 ◽  
pp. 315-321 ◽  
Author(s):  
M. G. Rovira ◽  
J. M. Fontenla ◽  
J.-C. Vial ◽  
P. Gouttebroze
Keyword(s):  
Energy Balance ◽  
Transition Region ◽  
Ambipolar Diffusion ◽  
Line Profiles ◽  
Balance Equations ◽  
Model Calculations ◽  
Partial Frequency ◽  
Frequency Redistribution ◽  
Partial Frequency Redistribution ◽  
Theoretical Structure

AbstractWe have improved previous model calculations of the prominence-corona transition region including the effect of the ambipolar diffusion in the statistical equilibrium and energy balance equations. We show its influence on the different parameters that characterize the resulting prominence theoretical structure. We take into account the effect of the partial frequency redistribution (PRD) in the line profiles and total intensities calculations.

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