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1000 tulosta hakusanalla Ray Leight

The Dynamics of Bubble Growth for Rayleigh-Taylor Unstable Interfaces
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Flow at Ultra-High Reynolds and Rayleigh Numbers
Because of their extremely low viscosity, liquid helium and ultra-cold helium gas provide ideal media for fundamental studies of fluid flow and turbulence at extremely high Reynolds numbers. Such flows occur in aerospace applications (satellite reentry) and other extreme conditions, where they are difficult to study. A cryogenic-helium wind tunnel would allow one to model these flows in a laboratory at much more benign conditions. Such studies have not been feasible because, using these fluids in a wind tunnel requires more liquid helium than has readily been available. However, the capacity of the refrigerators installed at several physics laboratories that supply liquid helium for particle accelerators (such as the one intended for the SSC in Texas or the one at Brookhaven National Laboratory) is so great that some of the liquid helium or the ultra-cold helium gas may also be used for fluid dynamics studies. The chapters in this book survey the challenges and prospects for research on fluid flows at high Reynolds and Rayleigh numbers using cryogenic helium. They cover a wide range of topics: from refrigeration and instrumentation to theories of superfluid turbulence. The chapters are largely based on contributions to a workshop held at Brookhaven, but these have all been brought up to the state of the art in late 1997; in addition, several chapters contain entirely new material. This book will be of interest to physicist interested in fluid dynamics, mechanical engineers interested in turbulent flows and transport, and naval and aerospace engineers.
Statistics and Scaling in Turbulent Rayleigh-Bénard Convection

Statistics and Scaling in Turbulent Rayleigh-Bénard Convection

Emily S.C. Ching

Springer Verlag, Singapore
2013
nidottu
This Brief addresses two issues of interest of turbulent Rayleigh-Bénard convection. The ?rst issue is the characterization and understanding of the statistics of the velocity and temperature ?uctuations in the system. The second issue is the revelation and understanding of the nature of the scaling behavior of the velocity temperature structure functions. The problem under the Oberbeck-Boussinesq approximation is formulated. The statistical tools, including probability density functions (PDF) and conditional statistics, for studying fluctuations are introduced, and implicit PDF formulae for fluctuations obeying certain statistical symmetries are derived. Applications of these PDF formulae to study the fluctuations in turbulent Rayleigh-Bénard convection are then discussed. The phenomenology of the different types of scaling behavior: the Bolgiano-Obhukov scaling behavior when buoyancy effects are significant and the Kolmogorov-Obukhov-Corrsin scaling behavior when they are not, is introduced. A crossover between the two types of scaling behavior is expected to occur at the Bolgiano length scale above which buoyancy is important. The experimental observations are reviewed. In the central region of the convective cell, the Kolmogorov-Obukhov-Corrsin scaling behavior has been observed. On the other hand, the Bolgiano-Obukhov scaling remains elusive only until recently. By studying the dependence of the conditional temperature structure functions on the locally averaged thermal dissipation rate, evidence for the Bolgiano-Obukhov scaling has recently been found near the bottom plate. The different behaviors observed in the two regions could be attributed to the different size of the Bolgiano scale. What physics determines the relative size of the Bolgiano scale remains to be understood. The Brief is concluded by a discussion of these outstanding issues.
Algebraic Number Theory and Code Design for Rayleigh Fading Channels

Algebraic Number Theory and Code Design for Rayleigh Fading Channels

Frederique Oggier; Emanuele Viterbo

now publishers Inc
2004
nidottu
Algebraic number theory is gaining an increasing impact in code design for many different coding applications, such as single antenna fading channels and more recently, MIMO systems. Extended work has been done on single antenna fading channels, and algebraic lattice codes have been proven to be an effective tool. The general framework has been developed in the last ten years and many explicit code constructions based on algebraic number theory are now available.This book provides an overview of algebraic lattice code designs for Rayleigh fading channels, as well as a tutorial introduction to algebraic number theory. The basic facts of this mathematical field are illustrated by many examples and by the use of computer algebra freeware in order to make it more accessible to a large audience. This makes the book suitable for use by students and researchers in both mathematics and communications.
On Estimation Methods for Power Function and Rayleigh Distributions

On Estimation Methods for Power Function and Rayleigh Distributions

Oruganti V Raja Sekharam; G V S R Anjaneyulu

Lap Lambert Academic Publishing
2021
pokkari
1. Objective of the study: To estimate parameters for Power Function and Rayleigh Distributions by using Lest Square Regression method and Median Ranks Regression method.2. Methodology & Results: The present study has five chapters.This chapter deals with General Introduction, Problems of Investigation. Mathematical and Statistical preliminaries required for mathematical derivations in the subsequent chapters are also included in Chapter I..Chapter II is to discuss about Estimation of Location (μ) and Scale (λ) for Two-Parameter Rayleigh Distribution by Median Rank Regression Method.Chapter III describes the Estimation of Location (μ) and Scale (λ) for Two-Parameter Rayleigh Distribution by Least Square Regression Method.Chapter IV explains the Estimation of Scale and Shape Parameters of Power Function Distribution by Median Ranks Regression Method using Optimally Constructed Grouped Data.Chapter V deals with Estimation of Scale and Shape Parameters of Power Function Distribution by least squares method using optimally Constructed Grouped Dat