scholarly journals Scaling Interface Length Increase Rates in Richtmyer–Meshkov Instabilities

2013 ◽  
Vol 135 (3) ◽  
Author(s):  
V. Kilchyk ◽  
R. Nalim ◽  
C. Merkle
Keyword(s):  
Scaling Law ◽  
Scaling Analysis ◽  
Incoming Wave ◽  
Wave Refraction ◽  
Fuel Consumption Rate ◽  
Length Increase ◽  
Unified Scaling Law ◽  
Different Temperatures ◽  
Interface Length ◽  
Large Amplitude Wave

The interface area increase produced by large-amplitude wave refraction through an interface that separates fluids with different densities can have important physiochemical consequences, such as a fuel consumption rate increase in the case of a shock–flame interaction. Using the results of numerical simulations along with a scaling analysis, a unified scaling law of the interface length increase was developed applicable to shock and expansion wave refractions and both types of interface orientation with the respect to the incoming wave. To avoid a common difficulty in interface length quantification in the numerical tests, a sinusoidally perturbed interface was generated using gases with different temperatures. It was found that the rate of interface increase correlates almost linearly with the circulation deposited at the interface. When combined with earlier developed models of circulation deposition in Richtmyer–Meshkov instability, the obtained scaling law predicts dependence of interface dynamics on the basic problem parameters.

On Prediction and Unified Correlation for Decay of Vertical Buoyant Jets

1979 ◽  
Vol 101 (3) ◽  
pp. 532-537 ◽  
Author(s):  
C. J. Chen ◽  
C. H. Chen
Keyword(s):  
Kinetic Energy ◽  
Scaling Law ◽  
Flow Characteristics ◽  
Heat Fluxes ◽  
Buoyant Jets ◽  
Numerical Result ◽  
Plume Region ◽  
Unified Scaling Law ◽  
Rate Of Dissipation ◽  
Decay Behavior

A differential turbulence model is used to predict the decay behavior of turbulent buoyant jets in a uniform environment at rest. The turbulent stresses and heat fluxes are modeled by the algebraic expressions while the differential transport equations are solved for the kinetic energy of turbulence, k, the rate of dissipation of turbulence kinetic energy, ε, and the fluctuating temperature T′2. The numerical result correlated with a unified scaling law was shown to fall into a single curve for the flows beyond the zone of flow establishment. The flow characteristics are then classified into a non-buoyant region, an intermediate region and a plume region. The predicted results show that the buoyant jets is accelerated in the zone of flow establishment. Equations for decay of velocity, density, and turbulent quantities are given from the non-buoyant region to the plume region for both plane and round buoyant jets.

scholarly journals Late quaternary temperature variability described as abrupt transitions on a 1/<i>f</i> noise background

2015 ◽  
Vol 6 (2) ◽  
pp. 2323-2337
Author(s):  
M. Rypdal ◽  
K. Rypdal
Keyword(s):  
Time Scales ◽  
Late Quaternary ◽  
Scaling Law ◽  
Temperature Variability ◽  
Climate System ◽  
Scaling Analysis ◽  
Noise Background ◽  
Quaternary Climate ◽  
Last Glaciation ◽  
Climate Noise

Abstract. We show that in order to have a scaling description of the climate system that is not inherently non-stationary, the rapid shifts between stadial and interstadial conditions during the last glaciation cannot be included in the scaling law. The same is true for the shifts between the glacial and interglacial states in the quaternary climate. When these events are omitted from a scaling analysis we find that the climate noise is consistent with a 1/f law on time scales from months to 105 years.

scholarly journals Characterizing the Foreshock, Main Shock, and Aftershock Sequences of the Recent Major Earthquakes in Southern Alaska, 2016–2018

2020 ◽  
Vol 8 ◽  
Author(s):  
B. G. Bukchin ◽  
A. S. Fomochkina ◽  
V. G. Kossobokov ◽  
A. K. Nekrasova
Keyword(s):  
Control Parameter ◽  
Empirical Distribution ◽  
Scaling Law ◽  
Plate Boundary ◽  
Scaling Properties ◽  
Second Moments ◽  
The Pacific ◽  
Unified Scaling Law ◽  
Aftershock Sequences ◽  
Integral Estimation

For each of three major M ≥ 7.0 earthquakes (i.e., the January 24, 2016, M7.1 earthquake 86 km E of Old Iliamna; the January 23, 2018, M7.9 earthquake 280 km SE of Kodiak; and the November 30, 2018, M7.1 earthquake 14 km NNW of Anchorage, Alaska), the study considers characterization of the foreshock and aftershock sequences in terms of their variations and scaling properties, including the behavior of the control parameter η of the unified scaling law for earthquakes (USLE), along with a detailed analysis of the surface wave records for reconstruction of the source in the approximation of the second moments of the stress glut tensor to obtain integral estimation of its length, orientation, and development over time. The three major earthquakes at 600 km around Anchorage are, in fact, very different due to apparent complexity of earthquake flow dynamics in the orogenic corner of the Pacific and North America plate boundary. The USLE generalizes the classic Gutenberg-Richter relationship taking into account the self-similar scaling of the empirical distribution of earthquake epicenters. The study confirms the existence of the long-term periods of regional stability of the USLE control parameter that are interrupted by mid- or even short-term bursts of activity associated with major catastrophic events.

Unified Scaling Law for Earthquakes as Applied to Assessment of Seismic Hazard and Associate Risks

2020 ◽  
Vol 56 (1) ◽  
pp. 83-94 ◽  
Author(s):  
A. K. Nekrasova ◽  
V. G. Kossobokov ◽  
I. A. Parvez ◽  
X. Tao
Keyword(s):  
Seismic Hazard ◽  
Scaling Law ◽  
Unified Scaling Law

scholarly journals Scaling properties of planetary calderas and terrestrial volcanic eruptions

2012 ◽  
Vol 19 (6) ◽  
pp. 585-593 ◽  
Author(s):  
L. Sanchez ◽  
R. Shcherbakov
Keyword(s):  
Solar System ◽  
Scaling Law ◽  
Geographical Location ◽  
Internal Heat ◽  
Volcanic Eruptions ◽  
Scaling Analysis ◽  
Scaling Properties ◽  
Caldera Formation ◽  
Planetary Bodies ◽  
Terrestrial Planetary Bodies

Abstract. Volcanism plays an important role in transporting internal heat of planetary bodies to their surface. Therefore, volcanoes are a manifestation of the planet's past and present internal dynamics. Volcanic eruptions as well as caldera forming processes are the direct manifestation of complex interactions between the rising magma and the surrounding host rock in the crust of terrestrial planetary bodies. Attempts have been made to compare volcanic landforms throughout the solar system. Different stochastic models have been proposed to describe the temporal sequences of eruptions on individual or groups of volcanoes. However, comprehensive understanding of the physical mechanisms responsible for volcano formation and eruption and more specifically caldera formation remains elusive. In this work, we propose a scaling law to quantify the distribution of caldera sizes on Earth, Mars, Venus, and Io, as well as the distribution of calderas on Earth depending on their surrounding crustal properties. We also apply the same scaling analysis to the distribution of interevent times between eruptions for volcanoes that have the largest eruptive history as well as groups of volcanoes on Earth. We find that when rescaled with their respective sample averages, the distributions considered show a similar functional form. This result implies that similar processes are responsible for caldera formation throughout the solar system and for different crustal settings on Earth. This result emphasizes the importance of comparative planetology to understand planetary volcanism. Similarly, the processes responsible for volcanic eruptions are independent of the type of volcanism or geographical location.

Unified scaling law for waiting times between seismic events

2005 ◽  
Vol 71 (6) ◽  
pp. 1036-1042 ◽  
Author(s):  
V Carbone ◽  
L Sorriso-Valvo ◽  
P Harabaglia ◽  
I Guerra
Keyword(s):  
Waiting Times ◽  
Scaling Law ◽  
Seismic Events ◽  
Unified Scaling Law

scholarly journals HYDRODYNAMIC SCALING ANALYSIS OF NUCLEAR FUSION DRIVEN BY ULTRA-INTENSE LASER-PLASMA INTERACTIONS

2012 ◽  
Vol 21 (12) ◽  
pp. 1250102 ◽  
Author(s):  
SACHIE KIMURA ◽  
ALDO BONASERA
Keyword(s):  
Laser Plasma ◽  
Laser Power ◽  
Scaling Laws ◽  
Scaling Law ◽  
Intense Laser ◽  
Scaling Analysis ◽  
Plasma Interactions ◽  
Laser Plasma Interactions ◽  
Hydrodynamic Scaling ◽  
Fusion Yield

We discuss scaling laws of fusion yields generated by laser-plasma interactions. The yields are found to scale as a function of the laser power. The origin of the scaling law in the laser driven fusion yield is derived in terms of hydrodynamic scaling. We point out that the scaling properties can be attributed to the laser power dependence of three terms: the reaction rate, the density of the plasma and the projected range of the plasma particle in the target medium. The resulting scaling relations have a predictive power that enables estimating the fusion yield for a nuclear reaction which has not been investigated by means of the laser accelerated ion beams.

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