Publications

Anzahl der Treffer: 297
Erstellt: Wed, 17 Jul 2024 23:05:12 +0200 in 0.0851 sec


Boeck, Thomas; Sanjari, Seyed Loghman; Becker, Tatiana
Parametric instability of a magnetic pendulum in the presence of a vibrating conducting plate. - In: Nonlinear dynamics, ISSN 1573-269X, Bd. 102 (2020), 4, S. 2039-2056

A pendulum with an attached permanent magnet swinging in the vicinity of a conductor is a typical experiment for the demonstration of electromagnetic braking and Lenz law of induction. When the conductor itself moves, it can transfer energy to the pendulum. An exact analytical model of such an electromagnetic interaction is possible for a flat conducting plate. The eddy currents induced in the plate by a moving magnetic dipole and the resulting force and torque are known analytically in the quasistatic limit, i.e., when the magnetic diffusivity is sufficiently high to ensure an equilibrium of magnetic field advection and diffusion. This allows us to study a simple pendulum with a magnetic dipole moment in the presence of a horizontal plate oscillating in vertical direction. Equilibrium of the pendulum in the vertical position can be realized in three cases considered, i.e., when the magnetic moment is parallel to the rotation axis, or otherwise, its projection onto the plane of motion is either horizontal or vertical. The stability problem is described by a differential equation of Mathieu type with a damping term. Instability is only possible when the vibration amplitude and the distance between plate and magnet satisfy certain constraints related to the simultaneous excitation and damping effects of the plate. The nonlinear motion is studied numerically for the case when the magnetic moment and rotation axis are parallel. Chaotic behavior is found when the eigenfrequency is sufficiently small compared to the excitation frequency. The plate oscillation typically has a stabilizing effect on the inverted pendulum.



https://doi.org/10.1007/s11071-020-06054-y
Yik, Hiufai; Valori, Valentina; Weiß, Stephan
Turbulent Rayleigh-Bénard convection under strong non-Oberbeck-Boussinesq conditions. - In: Physical review fluids, ISSN 2469-990X, Bd. 5 (2020), 10, 103502, insges. 14 S.

We report on Rayleigh-Bénard convection with strongly varying fluid properties experimentally and theoretically. Using pressurized sulfur-hexafluoride (SF6) above its critical point, we are able to make measurements at mean temperatures (Tm) and pressures (Pm) along Prandtl-number isolines in the (T,P) parameter space. This allows us to keep the mean Rayleigh- (Ram) and Prandtl number (Prm) constant while changing the temperature dependences of the fluid properties independently, e.g., probing the liquidlike or gaslike region that are left and right of the supercritical isochore. Hence, non-Oberbeck-Boussinesq (NOB) effects can be measured and analyzed cleanly. We measure the temperature at midheight (Tc) as well as the global vertical heat flux. We observe a significant heat transport enhancement of up to 112% under strong NOB conditions. Furthermore, we develop a theoretical model for the global vertical heat flux based on ideas of Grossmann and Lohse (GL) in OB systems, adjusted for nonconstant fluid properties. In this model, the NOB effects influence the boundary layer and hence Tc, but the change of the heat flux is predominantly due to a change of the fluid properties in the bulk, in particular the heat capacity cp and density p. Predictions from our model are consistent with our experimental results as well as with previous measurements carried out in pressurized ethane and cryogenic helium.



https://doi.org/10.1103/PhysRevFluids.5.103502
Akhmedagaev, Ruslan; Zikanov, Oleg; Krasnov, Dmitry; Schumacher, Jörg
Rayleigh-Bénard convection in strong vertical magnetic field: flow structure and verification of numerical method. - In: Magnetohydrodynamics, Bd. 56 (2020), 2/3, S. 157-165

Direct numerical simulations are performed to study turbulent Rayleigh-Bénard convection in a vertical cylindrical cavity exposed to a uniform axial magnetic field. Flows at high Hartmann and Rayleigh numbers are considered. The calculations reveal that, similarly to the behavior observed in Rayleigh-Bénard convection with strong rotation, flows under a strong magnetic field develop a central vortex, whereas the heat transfer is suppressed.



https://doi.org/10.22364/mhd.56.2-3.7
Krasnov, Dmitry; Kolesnikov, Yuri; Belyaev, Ivan A.; Listratov, Yaroslav I.; Zikanov, Oleg
Liquid metal swirling flow affected by transverse magnetic field. - In: Magnetohydrodynamics, Bd. 56 (2020), 2/3, S. 121-129

In this work we study numerically liquid metal flow in a squareduct under the influence ofa transverse magnetic field applied in a spanwise direction (coplanar). The key interest of thepresent study is an attempt of passive control of flow regimesdeveloped under magnetic fieldand thermal loads by applying specially shaped conditions,such as swirling, at the duct inlet.In this paper, we report results of numerical simulations ofthe interaction of swirling flow andtransverse magnetic field in a square duct flow. Analysis of the obtained regimes might beimportant for the development of an experimental setup, in order to design corresponding inletsections.



https://doi.org/10.22364/mhd.56.2-3.3
Leng, Xueyuan; Kolesnikov, Yuri; Krasnov, Dmitry; Li, Benwen
MHD Taylor-Couette flow with insulating walls at periodic condition and low magnetic Reynolds number. - In: Magnetohydrodynamics, Bd. 56 (2020), 2/3, S. 103-112

This work studies turbulent behavior in Taylor-Couette flow of an electrically conducting fluid between two co-axial and infinitely long insulating cylinders in the presence of an axial magnetic field at a low magnetic Reynolds number. The inner cylinder rotates and the outer one is kept stationary. Direct numerical simulation was conducted to study the problem with Reynolds numbers of 4000 and 8000 with different Hartmann numbers. The results show a continuous suppression of turbulence in the flow under the applied magnetic field. The mean flow profile is not directly affected by the magnetic field, but its transformation depends on the decrease of turbulent fluctuations and wall normal momentum transport. With increasing Hartmann number, the observed decrease of Taylor vortex flow is accompanied by the elongated axial wavelengths, confirming the theoretical prediction of linear stability theory. A comparison of the considered case of insulating cylinders with a previous study with conducting cylinders also indicates a difference between these two cases and highlights a significant impact of the electric boundary conditions on turbulence.



https://doi.org/10.22364/mhd.56.2-3.1
Pandey, Sandeep; Chu, Xu; Weigand, Bernhard; Laurien, Eckart; Schumacher, Jörg
Relaminarized and recovered turbulence under nonuniform body forces. - In: Physical review fluids, ISSN 2469-990X, Bd. 5 (2020), 10, 104604, insges. 21 S.

Turbulence in a wall-bounded flow of supercritical fluid can be significantly modulated by nonuniform body forces. This study presents direct numerical simulations performed with a nonuniform streamwise body force varying in the wall-normal direction in a fully developed channel flow. A quasilaminar state and reorganized turbulence were obtained by changing the amplitude of the nonuniform body force which distorts the parabolic mean velocity profile and thus alters the turbulence production due to mean shear. Weak production of the flattened mean velocity profile leads to a relaminarization. In the quasilaminar state, all components of the Reynolds stress tensor are fairly weak except the streamwise fluctuations distant from the wall, which indicates the collapse of the near-wall turbulence self-sustaining cycle. The remaining streamwise fluctuations away from the wall exhibit elongated streaks, which is shown by premultiplied spectra. In the recovered turbulence regime, the Reynolds shear stress has a negative range in the bulk connected with a positive range near the wall. This corresponds to the nonmonotonic shear stress resulting from an M-shaped velocity profile. In a subsequent quadrant analysis of the Reynolds shear stress, the sweep and ejection events are found to dominate near the wall only while inward Q1 and outward Q3 motions are significant in the bulk. Both kinds of high-speed events can be attributed to the velocity maxima of the M-shaped mean velocity profile and are found to penetrate towards the wall and the channel center. Interestingly, the flow topology shows the typical teardrop shape once turbulence recovered. Our study contributes to the understanding of flow relaminarization in mixed convection and assists in developing further flow control techniques.



https://doi.org/10.1103/PhysRevFluids.5.104604
Schumacher, Jörg; Sreenivasan, Katepalli R.
Colloquium: unusual dynamics of convection in the Sun. - In: Reviews of modern physics, ISSN 1539-0756, Bd. 92 (2020), 4, S. 041001-1-041001-25

https://doi.org/10.1103/RevModPhys.92.041001
Pandey, Sandeep; Schumacher, Jörg; Sreenivasan, Katepalli R.
A perspective on machine learning in turbulent flows. - In: Journal of turbulence, ISSN 1468-5248, Bd. 21 (2020), 9/10, S. 567-584

The physical complexity and the large number of degrees of freedom that can be resolved today by direct numerical simulations of turbulent flows, and by the most sophisticated experimental techniques, require new strategies to reduce and analyse the data so generated, and to model the turbulent behaviour. We discuss a few concrete examples for which the turbulence data have been analysed by machine learning tools. We also comment on work in neighbouring fields of physics, particularly astrophysical (and astronomical) work, where Big Data has been the paradigm for some time. We discuss unsupervised, semi-supervised and supervised machine learning methods to direct numerical simulations data of homogeneous isotropic turbulence, Rayleigh-Bénard convection, and the minimal flow unit of a turbulent channel flow; for the last case, we discuss in some detail the application of echo state networks, this being one implementation of reservoir computing. The paper also provides a brief perspective on machine learning applications more broadly.



https://doi.org/10.1080/14685248.2020.1757685
Heyder, Florian; Schumacher, Jörg; Hentschel, Martina
Moist Rayleigh-Bérnard Convection in conditionally unstable environments. - In: DPG-Frühjahrstagung (DPG Spring Meeting) of the Condensed Matter Section (SKM) together with the DPG Division Environmental Physics and the Working Groups Accelerator Physics; Equal Opportunities; Energy; Industry and Business; Physics, Modern IT and Artificial Intelligence, Young DPG, (2020), DY 16.3

Belyaev, Ivan; Krasnov, Dmitry; Kolesnikov, Yuri; Biryukov, Dmitry; Chernysh, Denis; Zikanov, Oleg; Listratov, Yaroslav
Effects of symmetry on magnetohydrodynamic mixed convection flow in a vertical duct. - In: Physics of fluids, ISSN 1089-7666, Bd. 32 (2020), 9, 094106, S. 094106-1-094106-21

Magnetohydrodynamic convection in a downward flow of liquid metal in a vertical duct is investigated experimentally and numerically. It is known from earlier studies that in a certain range of parameters, the flow exhibits high-amplitude pulsations of temperature in the form of isolated bursts or quasi-regular fluctuations. This study extends the analysis while focusing on the effects of symmetry introduced by two-sided rather than one-sided wall heating. It is found that the temperature pulsations are robust physical phenomena appearing for both types of heating and various inlet conditions. At the same time, the properties, typical amplitude, and range of existence in the parametric space are very different at the symmetric and asymmetric heating. The obtained data show good agreement between computations and experiments and allow us to explain the physical mechanisms causing the pulsation behavior.



https://doi.org/10.1063/5.0020608