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Teutsch, Philipp; Käufer, Theo; Mäder, Patrick; Cierpka, Christian
Data-driven estimation of scalar quantities from planar velocity measurements by deep learning applied to temperature in thermal convection. - In: Experiments in fluids, ISSN 1432-1114, Bd. 64 (2023), 12, 191, S. 1-18

The measurement of the transport of scalar quantities within flows is oftentimes laborious, difficult or even unfeasible. On the other hand, velocity measurement techniques are very advanced and give high-resolution, high-fidelity experimental data. Hence, we explore the capabilities of a deep learning model to predict the scalar quantity, in our case temperature, from measured velocity data. Our method is purely data-driven and based on the u-net architecture and, therefore, well-suited for planar experimental data. We demonstrate the applicability of the u-net on experimental temperature and velocity data, measured in large aspect ratio Rayleigh-Bénard convection at Pr = 7.1 and Ra = 2 x 10^5, 4 x 10^5, 7 x 10^5. We conduct a hyper-parameter optimization and ablation study to ensure appropriate training convergence and test different architectural variations for the u-net. We test two application scenarios that are of interest to experimentalists. One, in which the u-net is trained with data of the same experimental run and one in which the u-net is trained on data of different Ra. Our analysis shows that the u-net can predict temperature fields similar to the measurement data and preserves typical spatial structure sizes. Moreover, the analysis of the heat transfer associated with the temperature showed good agreement when the u-net is trained with data of the same experimental run. The relative difference between measured and reconstructed local heat transfer of the system characterized by the Nusselt number Nu is between 0.3 and 14.1% depending on Ra. We conclude that deep learning has the potential to supplement measurements and can partially alleviate the expense of additional measurement of the scalar quantity.



https://doi.org/10.1007/s00348-023-03736-2
Herzberg, Martin; Otto, Henning; Resagk, Christian; Cierpka, Christian
Experimental investigation of indoor air ventilation in a small-scale aircraft cabin model. - In: Proceedings of the 5th International Conference on Building Energy and Environment, (2023), S. 1935-1941

The velocity field of the large-scale circulations (LSC) in turbulent mixed convection is analysed by means of 2D2C particle image velocimetry (PIV). The experiments are carried out in a small-scale model room resampling a generic passenger cabin. To achieve wide ranges of dimensionless numbers, pressurized dry air is used in the SCALEX facility. Three different LSCs have been found, depending on the Archimedes number Ar.



https://doi.org/10.1007/978-981-19-9822-5_203
Otto, Henning; Naumann, Clemens; Odenthal, Christian; Cierpka, Christian
Unsteady inherent convective mixing in thermal-energy-storage systems during standby periods. - In: PRX energy, Bd. 2 (2023), 4, 043001, S. 043001-1-043001-17

Recent studies on the flow phenomena in stratified thermal-energy-storage (TES) systems have shown that heat conduction from the hot upper fluid layer through the vertical tank sidewall into the lower cold fluid layer leads to counterdirected wall jets adjacent to the vertical sidewalls. It was shown that these phenomena destroyed half of the total exergy content in less than a tenth of the storage time constant of a 2-m3 stratified TES system. This paper investigates short-term fluctuations of the wall jets since these fluctuations can potentially mix the hot and cold zones of the thermal stratification that are separated by the thermocline region. Using particle-image velocimetry measurements in two regions of a TES model experiment (near-wall region and far-field region) and analyzing the frequency content of the velocity fields revealed characteristic oscillations for different regions. In the near-wall region, observed fluctuations agreed well with an adjusted boundary layer frequency from the literature, showing that the wall jet is transitioning from laminar to turbulent flow. In the far-field region, the oscillations are related to the Brunt-Väisälä frequency. It is shown that the fluctuations from the boundaries of the thermocline region are most dominant and propagate into deeper regions of the thermocline. A comparison to data from the large-scale test facility for thermal energy storage in molten salt at the German Aerospace Center in Cologne showed good agreement. The consensus between the two experiments proves firstly that a small-scale model experiment with water as a storage liquid can be used to analyze the physical phenomena of large-scale molten salt storage facilities and secondly that these fluctuations are relevant for exergy destruction in real-scale TES.



https://doi.org/10.1103/PRXEnergy.2.043001
Sachs, Sebastian; Schmidt, Hagen; Cierpka, Christian; König, Jörg
On the behavior of prolate spheroids in a standing surface acoustic wave field. - In: Microfluidics and nanofluidics, ISSN 1613-4990, Bd. 27 (2023), 12, 81, S. 1-19

The active manipulation of particle and cell trajectories in fluids by high-frequency standing surface acoustic waves (sSAW) allows to separate particles and cells systematically depending on their size and acoustic contrast. However, process technologies and biomedical applications usually operate with non-spherical particles, for which the prediction of acoustic forces is highly challenging and remains a subject of ongoing research. In this study, the dynamical behavior of prolate spheroids exposed to a three-dimensional acoustic field with multiple pressure nodes along the channel width is examined. Optical measurements reveal an alignment of the particles orthogonal to the pressure nodes of the sSAW, which has not been reported in literature so far. The dynamical behavior of the particles is analyzed under controlled initial conditions for various motion patterns by imposing a phase shift on the sSAW. To gain detailed understanding of the particle dynamics, a three-dimensional numerical model is developed to predict the acoustic force and torque acting on a prolate spheroid. Considering the acoustically induced streaming around the particle, the numerical results are in excellent agreement with experimental findings. Using the proposed numerical model, a dependence of the acoustic force on the particle shape is found in relation to the acoustic impedance of the channel ceiling. Hence, the numerical model presented herein promises high progress for the design of separation devices utilizing sSAW, exploiting an additional separation criterion based on the particle shape.



https://doi.org/10.1007/s10404-023-02690-z
Karcher, Christian;
Beitrag des Grundlagenfachs Technische Thermodynamik zur Thematik Technische Bildung für eine nachhaltige Entwicklung. - In: Technische Bildung für eine Nachhaltige Entwicklung, (2023), S. 59-68

Die Technische Thermodynamik versteht sich heutzutage als eine allgemeine Energielehre. In vielen Ingenieurstudiengängen gilt sie als Grundlagenfach, dem die Aufgabe zukommt, den Studierenden die vielfältigen Umwandlungsmöglichkeiten von Energieformen aufzuzeigen. Des Weiteren werden die Studierenden über die Einschränkungen bei den Umwandlungsprozessen unterrichtet, anhand derer sie die Effizienz der Prozesse beurteilen können. Die Aussagen der Thermodynamik sind methodisch in vier Hauptsätzen zusammengefasst. Trotz dieses klaren inhaltlichen Aufbaus ist die Technische Thermodynamik bei vielen Studierenden ein eher unbeliebtes Fach, wohl, weil die sichere Beherrschung abstrakter, fachspezifischer Größen wie Entropie und Exergie notwendig ist. Der vorliegende Beitrag setzt sich zum Ziel zu zeigen, dass die Kernaussagen der Thermodynamik mit dem Gedanken der Nachhaltigkeit verknüpft sind. Dadurch ist fundiertes Fachwissen in dieser Disziplin von zentraler Bedeutung für die Umsetzung nachhaltiger Ansätze in der Anwendung. Alle künftigen technischen Lösungsvorschläge im Rahmen der viel zitierten Energiewende kommen an dem grundlegenden Verständnis der thermodynamischen Zusammenhänge nicht vorbei. Weiterhin wird anhand von Praxisbeispielen analysiert, welche Herausforderungen sich daraus für die Lehre in der universitären Ingenieurausbildung ergeben. Neben den klassischen Lehrinstrumenten wie Vorlesung und Seminarübung sind auch Erfahrungssammlung durch Laborversuche und Exkursionen wichtige Schritte im Lernprozess.



Kalis, Harijs; Kolesnikov, Yuri
Electrically driven free shear flows in a duct under a transverse uniform magnetic field. - In: Magnetohydrodynamics, Bd. 59 (2023), 1, S. 3-22

A mathematical model of two-dimensional electrically driven laminar plane free shear flows in a straight duct under the action of an applied spanwise uniform magnetic field is considered. The mathematical approach is like that used in the research of Hunt and Williams (J. Fluid. Mech., 31, 705, 1968) and Kolesnikov and Kalis (Magnetohydrodynamics, vol. 57, 2021, no. 2). A system of stationary partial differential equations with two unknown functions of velocity and induced magnetic field is solved. The electric current is injected into the liquid by means of two couples of linear electrodes located vis-à-vis on opposite duct walls, perpendicular to the magnetic field. Three cases are considered. One pair of electrodes is current supplied and, depending on the direction of electric current injection on the electrode pair, two coinciding or two counter flows are also driven. At Hartmann numbers Ha >> 1, quasi-potential cores are formed in these flows, bounded by lateral Shercliff free boundary layers parallel to the field and two Hartmann layers on the walls perpendicular to the field. As a result, almost all of the injected current passes through these layers. An increase of the magnetic field leads only to an internal rearrangement of the potential cores of the flows. The Hartmann number varies in the range from 1 to 100.



https://doi.org/10.22364/mhd.59.1.1
Käufer, Theo; Vieweg, Philipp; Schumacher, Jörg; Cierpka, Christian
Thermal boundary condition studies in large aspect ratio Rayleigh-Bénard convection. - In: European journal of mechanics, ISSN 1873-7390, Bd. 101 (2023), S. 283-293

We study the influence of thermal boundary conditions on large aspect ratio Rayleigh-Bénard convection by a joint analysis of experimental and numerical data sets for a Prandtl number Pr=7 and Rayleigh numbers Ra=105−106. The spatio-temporal experimental data are obtained by combined Particle Image Velocimetry and Particle Image Thermometry measurements in a cuboid cell filled with water at an aspect ratio Γ=25. In addition, numerical data are generated by Direct Numerical Simulations (DNS) in domains with Γ=25 and Γ=60 subject to different idealized thermal boundary conditions. Our experimental data show an increased characteristic horizontal extension scale ÜÞλ of the flow structures for increasing Ra , which due to an increase of the convective heat transfer also leads to an increase of the Biot number (Bi) at the cooling plate. However, we find the experimental flow structure size to range in any case in between the ones observed for the idealized thermal boundary conditions captured by the simulations: On the one hand, they are larger than in the numerical case with applied uniform temperatures at the plates. On the other hand, they are smaller than in the case of an applied constant heat flux, the latter of which leads to a structure that grows gradually up to the horizontal domain size. We are able to link this observation qualitatively to theoretical predictions for the onset of convection. Furthermore, we study the effect of the asymmetric boundary conditions on the heat transfer. Contrasting experimental and numerical data reveals an increased probability of far-tail events of reversed heat transfer. The successive decomposition of the local Nusselt number Nuloc traces this effect back to the sign of the temperature deviation ÜÞΘ, eventually revealing asymmetries of the heating and cooling plate on the thermal variance of the generated thermal plumes.



https://doi.org/10.1016/j.euromechflu.2023.06.003
Xu, Lin; Karcher, Christian; Wang, Engang
Numerical simulation of melt flow, heat transfer and solidification in CSP continuous casting mold with vertical-combined electromagnetic braking. - In: Metallurgical and materials transactions, ISSN 1543-1916, Bd. 54 (2023), 4, S. 1646-1664

During continuous casting, electromagnetic braking (EMBr) is a widely used technology to improve the quality of steel product. The EMBr technology takes benefit of the generation of Lorentz forces that are induced by the interactions of melt flow with externally applied magnetic fields. In the present paper we propose and investigate a new type of EMBr, named vertical-combined electromagnetic braking (VC-EMBr) in application to the Compact Strip Production (CSP) thin slab continuous casting mold. The unique characteristic of the VC-EMBr lies in the fact that two new pairs of vertical magnetic poles (VMPs) are located adjacent to the mold narrow faces on the basis of Ruler-EMBr. To determine the braking effect of the VC-EMBr, the influence of the installation position of the VMPs on the flow, heat transfer and solidification behaviors of ultra-low carbon steel in a 1500 × 70 mm CSP funnel-type mold is numerically solved. The fluid-flow-related phenomena of three casting cases in the CSP mold, i.e., No-EMBr, Ruler-EMBr, and VC-EMBr, are further investigated numerically to evaluate the metallurgical capability of the VC-EMBr, including the quantitative evaluation of level fluctuation, heat transfer, and shell growth at a casting speed of 4.5 m/min. The parametric study shows that for the CSP mold with width of 1500 mm, the optimal braking effect of the VC-EMBr can be obtained when the VMPs are located at 50 mm from the narrow face of the mold. With this adjustment, the magnitude of the maximum surface velocity is reduced by 70 pct when compared to the case of p1 = 0 mm. This reduction can decrease the heat loss in the upper recirculation region of the CSP mold and promote the homogeneity of the temperature field therein. In addition, the evaluation results show that the newly proposed VC-EMBr provides more obvious technological advantages than the traditional Ruler-EMBr in application to the CSP mold with a bifurcated nozzle. For the VC-EMBr, the horizontal magnetic poles (HMPs) keep the same advantage as the Ruler-EMBr in providing a good protection against excessive downward impact of the molten steel. On the other hand, the VMPs overcome the disadvantage that the Ruler-EMBr cannot well suppress the upward backflow in the CSP mold. For instance, by applying a magnetic flux density of 0.3 T, the VC-EMBr has a better capability to reduce the maximum amplitude of the level fluctuation by 83.8 pct and increase the average surface temperature of the molten steel from 1803.6 K to 1804.5 K when compared to the case of Ruler-EMBr. This variation can well prevent surface defects related to the level fluctuation, such as slag entrapment and mold powder freezing. On this basis, it can be seen that the industrial application of the VC-EMBr in the CSP mold can benefit from these findings.



https://doi.org/10.1007/s11663-023-02784-7
Ratz, Manuel; Sachs, Sebastian; König, Jörg; Cierpka, Christian
A deep neural network architecture for reliable 3D position and size determination for Lagrangian particle tracking using a single camera. - In: Measurement science and technology, ISSN 1361-6501, Bd. 34 (2023), 10, 105203, S. 1-16

Microfluidic flows feature typically fully three-dimensional velocity fields. However, often the optical access for measurements is limited. Astigmatism or defocus particle tracking velocimetry is a technique that enables the 3D position determination of individual particles by the analysis of astigmatic/defocused particle images. The classification and position determination of particles is a task well suited to deep neural networks (DNNs). In this work, two DNNs are used to extract the class and in-plane position (object detection) as well as the depth position (regression). The performance of both DNNs is assessed by the position uncertainties as well as the precision of the size classes and the amount of recalled particles. The DNNs are evaluated on a synthetic dataset and establish a new benchmark of DNNs in defocus tracking applications. The recall is higher than compared to classic methods and the in-plane errors are always subpixel accurate. The relative uncertainty in the depth position is below 1% for all examined particle seeding concentrations. Additionally, the performance on experimental images, using four different particle sizes, ranging from 1.14 to 5.03 is analyzed. The particle images are systematically rearranged to produce comprehensive datasets of varying particle seeding concentrations. The distinction between particles of similar size is more challenging but the DNNs still show very good results. A precision above 96% is reached with a high recall above 95%. The error in the depth position remains below 1% and the in-plane errors are subpixel accurate with respect to the labels. The work shows that first, DNNs can be trained with artificially rearranged data sets based on individual experimental images and are therefore easily adaptable to various experimental setups and applicable by non-experts. Second, the DNNs can be successfully adapted to determine additional variables as in this case the size of the suspended particles.



https://doi.org/10.1088/1361-6501/ace070
Sharifi Ghazijahani, Mohammad; Cierpka, Christian
Flow structure and dynamics behind cylinder arrays at Reynolds number ∼100. - In: Physics of fluids, ISSN 1089-7666, Bd. 35 (2023), 6, 067125, S. 067125-1-067125-14

The flow behind nine different arrays of cylinders is experimentally investigated via Particle Image Velocimetry (PIV) at a Reynolds number of Re ∼ 100 based on the diameter of the cylinders. Each array consists of a column of four cylinders in front and three in the rear. The horizontal distance between the two columns and the vertical distance between the cylinders within each column are varied for H/D = [2, 4, 8] and V/D = [2, 4, 6], resulting in nine different arrays denoted as mVnH, where m corresponds to V/D and n stands for H/D. The PIV measurements are conducted for 15 s at 200 Hz frequency, corresponding to 39 to 360 vortex shedding events for the wakes in this study. Then, proper orthogonal decomposition is applied to the velocity fields to analyze the flow dynamics. All arrays show unsteady flow, and based on their flow structures, they are classified in to three main categories of single bluff body (SBB), transitional (TR), and co-shedding (CS) flow. SBB characteristics can be seen for 2V2H and 2V4H arrays, but the latter has more steady vortex shedding as the H/D increases from 2 to 4. Then, 2V8H and 4V2H have an asymmetric flow with several vortex streets and act as an intermediary stage in the shift from SBB to CS flow structure when the distances are increased. The highest total kinetic energy values and widest probability density functions of the velocity components are observed for this group. The five remaining arrays in the CS group have symmetric flow, with three or five vortex streets present behind. However, based on the distances, the frequency and phase synchronization of the vortex streets change considerably, which might have an important effect on, for example, the heat transfer or the structural load of the cylinders.



https://doi.org/10.1063/5.0155102