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Aerothermodynamics, Nonlinear Acoustics and the Meteorological Equations
The study of low-Mach-number flows occurs in the general context of asymptotic modelling of fluid flows, and in a recent book (Zeytounian 2004, Chap....
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Some Aspects of Low-Mach-Number External Flows
In this chapter, we consider first, in Sect. 4.1, a detailed derivation of the Navier–Fourier initial–boundary–value problem for the Navier velocity...
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Comparison of Single and Two‐Fluid Approaches
The results of the “0D„ analyses gathered in Tables 5.1 and 6.1 and discussed in Sects. 5.3 and 6.2 provide the basis for comparing Dam's к–ε and...
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Conclusion, Future Modeling Trends
The relevance of this study stands not in the topics that have been discussed, since most of them have already been explored for many years now, but...
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Single‐Fluid Approach: Example of Dam's к–ε Model
The statistical equations for the turbulent flow of an incompressible fluid are found in the literature [58], but they are adapted here to the...
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Specific Treatment of Shocks: Constraints on Models1
Before examining the phenomenology of the interaction between a shock and turbulent or material heterogeneities, it is useful to recall that the...
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Two‐Fluid Approach: Example of Awe's Model
Two‐fluid descriptions often use explicitly separate treatments for the conservation equations in each fluid, along with expressions for exchange...
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Some Aspects of Low-Mach-Number Internal Flows
In the present chapter, the main problem concerns low-Mach-number flow affected by acoustic effects in a confined gas over a long time.
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Slow Atmospheric Motion as a Low-Mach-Number Flow
First, in Sect. 6.1, we discuss in detail various facets of the applicability of the Boussinesq approximation to slow atmospheric motion. In Sect....
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The Many Faces of the Asymptotics of Low-Mach-Number Flows
It has long been known (Janzen 1913 and Rayleigh 1916) that asymptotic methods provide a sound way of describing incompressible aerodynamics...
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A First Approach to the Asymptotics of Low-Mach-Number Flows
In this chapter, we describe an initial (rather ‘naive’) approach to the asymptotics of low-Mach-number flows, based mainly on consideration of the...
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Review of Different Instability Types and Regimes
The three major types of “ideal„ instabilities studied here are [92]:
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Miscellaneous: Various Low-Mach-Number Fluid Problems and Motions
In this last chapter, we consider, first, in Sect. 7.1, mainly the asymptotic derivation of the KZK equation of nonlinear acoustics, which...
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Introduction
Many Dam applications involve phenomena of hydrodynamic mixing instabilities at interfaces between different materials. Simulation codes must include...
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Some Perspectives on Further Developments of Models1
Faced with the insufficiencies of the basic single‐fluid models, such as Dam's к‐ε, several authors [13–26,167] have rightly identified the source of...
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Reconstruction by Awe's Two‐Fluid Model of Developed Mixing Instabilities
The self‐similar incompressible “0D„ approach can be used to estimate the performance of Awe's two‐fluid model in the three cases of simple mixing...
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Reconstruction by Dam's к‐ε Model of Developed Mixing Instabilities
According to the literature, the calibration of coefficients of the incompressible к‐ε model (listed in Table 2.1, p. 14) is based on the...
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Using Longitudinal Fins to Improve the Melting Performance of Stearic Acid in Thermal Energy Storage Devices
The heat transfer efficiency of a thermal energy storage unit (TESU) can be improved by the addition of novel longitudinal fins. A series of TESUs...
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Effects of Heat Transfer on Laminar-to-Turbulent Transition over a Compressor Blade Operating at Low Reynolds Number
To control the transition process in a laminar separation bubble (LSB) over an ultra-high load compressor blade at a Re of 1.5×10 5 , the effects of...