Author: Mohammad Shah EmranPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Small-scale Statistics in Turbulent Rayleigh-Bénard Convection
Author: Mohammad Shah EmranStatistics and Scaling in Turbulent Rayleigh-Bénard Convection
Author: Emily S.C. ChingPublisher: Springer Science & Business Media
ISBN: 9814560235
Category : Technology & Engineering
Languages : en
Pages : 71
Book Description
This Brief addresses two issues of interest of turbulent Rayleigh-Bénard convection. The first issue is the characterization and understanding of the statistics of the velocity and temperature fluctuations 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.
Small Scale Statistics in Turbulent Raleigh-Bénard Convection
Author: Mohammad Shah EmranMagnetic Convection
Author: Hiroyuki OzoePublisher: Imperial College Press
ISBN: 1860947123
Category : Technology & Engineering
Languages : en
Pages : 237
Book Description
The manufacture of silicon single crystals is one of the most important processes in the information technology industry. This book explains the details of liquid metal convection, providing a guide for the elegant operation and control of Czochralski crystal growth, including the effect of magnetic control. Also covered is the newly emerging research field of the application of strong magnetic field using a superconducting magnet. Model equations for the phenomena in the magnetic field are treated in detail, which will be of much use to researchers and engineers in the field. The coverage includes the effect of the Lorentz force in materials processing and the magnetic force of recently developed superconducting magnets. It examines heat, mass and momentum transfer in electro-conducting and non-conducting fluids under normal and very strong magnetic fields. The book also treats the Czochralski single crystal growth process and continuous steel casting process as the most important current applications of magnetic fields. Numerical approaches are compared with the corresponding experimental measurements.
Magnetoconvection
Author: N. O. WeissPublisher: Cambridge University Press
ISBN: 052119055X
Category : Science
Languages : en
Pages : 411
Book Description
Leading experts present the current state of knowledge of the subject of magnetoconvection from the viewpoint of applied mathematics.
Direct Numerical Simulations of Turbulent Rayleigh-Bénard Convection
Author: Wei XuHigh-Order Methods for Incompressible Fluid Flow
Author: M. O. DevillePublisher: Cambridge University Press
ISBN: 9780521453097
Category : Mathematics
Languages : en
Pages : 532
Book Description
Publisher Description
Introduction to Engineering Heat Transfer
Author: G. F. NellisPublisher: Cambridge University Press
ISBN: 110717953X
Category : Mathematics
Languages : en
Pages : 1027
Book Description
Equips students with the essential knowledge, skills, and confidence to solve real-world heat transfer problems using EES, MATLAB, and FEHT.
Fluctuations in Turbulent Rayleigh-Bénard Convection
Author: Yin WangSimulation of the Turbulent Rayleigh-Benard Problem Using a Spectral/finite Difference Technique
Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages : 48
Book Description