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Chapter
The Effect of Trhoughflow on Rayleigh Bernard Convective Rolls
We investigate Rayleigh—Benard convection in the presence of a horizontal Poiseuille flow transversal to the convective roll chain. Using a ld amplitude equation and a 2d numerical simulation of the basic fiel...
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Chapter
Structure of Taylor Vortex Flow and the Influence of Spatial Amplitude Variations on Phase Dynamics
In the first part the spatial structure of Taylor vortices at moderate supercritical Reynolds numbers is analysed in detail using 2—dimensional numerical simulation data. For radius ratios η = 0.75,0.88 the depen...
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Article
Weakly nonlinear convection: Galerkin model, numerical simulation, and amplitude equation
The quality of three-mode Galerkin models for describing convective rolls in a fluid layer with rigid horizontal boundaries is investigated close to onset. Comparisons are made with the correct linear stabilit...
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Article
Structure and dynamics of Taylor vortex flow and the effect of subcritical driving ramps
Finite difference numerical solutions for rotationally symmetric flows in the rotating Couette system are presented. Axial and radial structures of velocity and pressure of Taylor vortices are elucidated. The ...
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Chapter
Onset of Soret and Dufour Driven Convection in Binary Fluid Mixtures
In the last few years a lot of progress has been made to understand convection in binary fluid layers in an external temperature gradient from the experimental1 as well as from the theoretical2–4 side. All this w...
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Chapter
Structure and Dynamics of Nonlinear Convective States in Binary Fluid Mixtures
Various properties of traveling wave (TW) and stationary overturning convection (SOC) are determined for ethanol—water parameters by finite—differences numerical solutions of the basic hydrodynamic field equat...
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Article
Probleme und Besonderheiten bei der kieferorthopädischen Behandlung eines Patienten mit adrenogenitalem Syndrom
Es werden die biochemischen Zusammenhänge beim Krankheitsbild des C-21-Hydroxylasemangels (adrenogenitales Syndrom) beschrieben. Am Beispiel eines Patienten wird auf die Störung von Knochenreifung und Wachstum...
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Chapter and Conference Paper
A Galerkin Approximation for Convection in Binary Mixtures with Realistic Concentration Boundary Conditions
We discuss linear and nonlinear properties of a generalized Lorenz model previously derived by the authors to describe convection in binary fluid mixtures with free slip, impermeable boundary conditions.
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Chapter and Conference Paper
Convection in binary mixtures propagating and standing patterns
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Chapter and Conference Paper
Structure Formation by Propagating Fronts
In many nonlinear dissipative systems spatially periodic structures grow out of a homogeneous basic state when the driving exceeds a critical value [1]. Taylor vortex flow (TVF) in the annulus between concentr...
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Article
The energy injection into a fluid by stochastic volume forces and random stirring forces
The wavenumber spectrum of the stationary energy injection rate into an incompressible fluid described by the Navier-Stokes equations is evaluated for some simple realizations of stochastic volume as well as s...
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Chapter and Conference Paper
The excitation spectra of liquid 4He at zero temperature and of a 3He atom moving in it
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Article
The energy spectrum of fully developed turbulence generated by random stirring
For fully developed turbulence in an incompressible fluid described by the Navier-Stokes equations with Gaussian random forces the relation between the energy spectrum and the stirring mechanism is investigate...
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Article
A comment on rotons in two-dimensional liquid helium II
The spectrum of rotons in two-dimensional liquid helium II is estimated within the Bijl-Feynman theory. Due to stronger short-range order and more effective back flow, the roton gap Δ is found to be about half...
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Article
Statistical dynamics of the Lorenz model
The dynamics of the Lorenz model in the “turbulent” regime (r>r T is investigated by applying methods for treating many-body systems. Symmetry properties are used to derive relations between correlation functions...
