Sound dispersion in a relaxing polymer fluid with bubbles

1985 ◽  
Vol 48 (1) ◽  
pp. 50-54 ◽  
Author(s):  
Z. P. Shul'man ◽  
S. P. Levitskii
Keyword(s):  
Polymer Fluid ◽  
Sound Dispersion

Vortex Stationary Karman Structures in Flows of a Rotating Incompressible Polymer Fluid

2020 ◽  
Vol 55 (7) ◽  
pp. 925-935
Author(s):  
A. M. Blokhin ◽  
R. E. Semenko
Keyword(s):  
Polymer Fluid

scholarly journals An Incompressible Polymer Fluid Interacting with a Koiter Shell

2021 ◽  
Vol 31 (1) ◽  
Author(s):  
Dominic Breit ◽  
Prince Romeo Mensah
Keyword(s):  
Moving Boundary ◽  
Classical Model ◽  
Elastic Shell ◽  
Planck Equation ◽  
Navier Stokes ◽  
Flexible Shell ◽  
Navier Stokes Equation ◽  
Shell System ◽  
Forward Equation ◽  
Polymer Fluid

AbstractWe study a mutually coupled mesoscopic-macroscopic-shell system of equations modeling a dilute incompressible polymer fluid which is evolving and interacting with a flexible shell of Koiter type. The polymer constitutes a solvent-solute mixture where the solvent is modelled on the macroscopic scale by the incompressible Navier–Stokes equation and the solute is modelled on the mesoscopic scale by a Fokker–Planck equation (Kolmogorov forward equation) for the probability density function of the bead-spring polymer chain configuration. This mixture interacts with a nonlinear elastic shell which serves as a moving boundary of the physical spatial domain of the polymer fluid. We use the classical model by Koiter to describe the shell movement which yields a fully nonlinear fourth order hyperbolic equation. Our main result is the existence of a weak solution to the underlying system which exists until the Koiter energy degenerates or the flexible shell approaches a self-intersection.

Study and Application of Ultra-temperature Polymer Fluid for Enhanced Stimulation in HP/HT Reservoirs

2015 ◽  
Author(s):  
Bo Cai ◽  
Wen Zhai ◽  
Liwei Wang ◽  
xiaohui Qiu ◽  
Chunming He ◽  
...  
Keyword(s):  
Polymer Fluid

scholarly journals Acoustic Signatures of the Phases and Phase Transitions in the Blume Capel Model with Random Crystal Field

2018 ◽  
Vol 2018 ◽  
pp. 1-13
Author(s):  
Gul Gulpinar
Keyword(s):  
High Frequency ◽  
Sound Propagation ◽  
Ultrasonic Attenuation ◽  
Experimental Studies ◽  
Power Laws ◽  
Sound Attenuation ◽  
Irreversible Processes ◽  
Acoustic Signatures ◽  
Sound Dispersion ◽  
Good Agreement

Sound propagation in the Blume Capel model with quenched diluted single-ion anisotropy is investigated. The sound dispersion relation and an expression for the ultrasonic attenuation are derived with the aid of the method of thermodynamics of irreversible processes. A frequency-dependent dispersion minimum that is shifted to lower temperatures with rising frequency is observed in the ordered region. The thermal and sound frequency (ω) dependencies of the sound attenuation and effect of the Onsager rate coefficient are studied in low- and high-frequency regimes. The results showed that ωτ≪1 and ωτ≫1 are the conditions that describe low- and high-frequency regimes, where τ is the single relaxation time diverging in the vicinity of the critical temperature. In addition, assuming a linear coupling of sound wave with the order parameter fluctuations in the system and ε as the temperature distance from the critical point, we found that the sound attenuation follows the power laws α(ω,ε)~ω2ε-1 and α(ω,ε)~ω0ε1 in the low- and high-frequency regions, while ε→0. Finally, a comparison of the findings of this study with previous theoretical and experimental studies is presented and it is shown that a good agreement is found with our results.

Is there any evidence of a positive sound dispersion in the high frequency dynamics of noble gases?

2000 ◽  
Vol 61 (3) ◽  
pp. 477-483 ◽  
Author(s):  
A Cunsolo ◽  
G Pratesi ◽  
F Rosica ◽  
G Ruocco ◽  
M Sampoli ◽  
...  
Keyword(s):  
High Frequency ◽  
Noble Gases ◽  
Sound Dispersion
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