Abstract
The dielectrophoretic force is applied between two differentially heated cylinders under microgravity conditions obtained during parabolic flight. The electric field is activated at various moments of the microgravity phase in order to control the initial condition at which the dielectrophoretic force intervenes. The time evolution of the flow is measured by particle image velocimetry and that of thermal plumes is captured by shadowgraphy. The growth rate of the instability during microgravity conditions is determined from these measurements. It is found that the closer the initial condition to the purely conductive state is, the faster the instability grows.
Similar content being viewed by others
References
Chandra, B., Smylie, D.E.: A laboratory model of thermal convection under a central force field. Geophys. Fluid Dynamics 3, 211–224 (1972)
Choi, I., Korpela, S.: Stability of the conduction regime of natural convection in a tall vertical annulus. J. Fluid Mech. 99, 725–738 (1980)
Futterer, B., Krebs, A., Plesa, A.C., Zaussinger, F., Hollerbach, R., Breuer, D., Egbers, C.: Sheet-like and plume-like thermal flow in a spherical convection experiment performed under microgravity. J. Fluid Mech. 735, 647–683 (2013)
Futterer, B., Dahley, N., Egbers, C.: Thermal electro-hydrodynamic heat transfer augmentation in vertical annuli by the use of dielectrophoretic forces through a.c. electric field. Int. J. Heat Mass Transfer 93, 144–154 (2016)
Hart, J.E., Glatzmaier, G.A., Toomre, J.: Space-laboratory and numerical simulations of thermal convection in a rotating hemispherical shell with radial gravity. J. Fluid Mech. 173, 519–544 (1986)
Kang, C., Mutabazi, I.: Dielectrophoretic buoyancy and heat transfer in a dielectric liquid contained in a cylindrical annular cavity. J. Appl. Phys. 125, 184902 (2019)
Kang, C., Yang, K. -S., Mutabazi, I.: Thermal effect on large- aspect-ratio Couette-Taylor system: numerical simulations. J. Fluid Mech. 771, 57–78 (2015)
Kang, C., Meyer, A., Mutabazi, I.: Radial buoyancy effects on momentum and heat transfer in a circular Couette flow. Phys. Rev. F 2, 053901 (2017)
Kang, C., Meyer, A., Yoshikawa, H.N., Mutabazi, I.: Numerical study of thermal convection induced by centrifugal buoyancy in a rotating cylindrical annulus. Phys. Rev. F 4, 043501 (2019)
Kleine, H., Grönig, H., Takayama, K.: Simultaneous shadow, Schlieren and interferometric visualisation of compressible flows. Opt. Lasers Eng. 44, 170–189 (2006)
Landau, L.D., Lifshitz, E.M.: Electrodynamics of Continuous Media, 2Nd Ed. Landau and Lifshitz Course of Theoretical Physics, vol. 8. Elsevier Butterworth-Heinemann, Burlington (1984)
Lotto, M.A., Johnson, K.M., Nie, C.W., Klaus, D.M.: The impact of reduced gravity on free convective heat transfer from a finite, flat, vertical plate. Microgravity Sci. Technol. 29, 371–379 (2017)
Malik, S.V., Yoshikawa, H.N., Crumeyrolle, O., Mutabazi, I.: Thermo-electro-hydrodynamic instabilities in a dielectric liquid under microgravity. Acta Astronaut. 81, 563–569 (2012)
Meier, M., Jongmanns, M., Meyer, A., Seelig, T., Egbers, C., Mutabazi, I.: Flow patterns and heat transfer in a cylindrical annulus under 1g and low-g conditions: experiments. Microgravity Sci. Technol. 30, 699–712 (2018)
Meyer, A., Jongmanns, M., Meier, M., Egbers, C., Mutabazi, I.: Thermal convection in a cylindrical annulus under a combined effect of the radial and vertical gravity. C. R. Mécanique 345, 11–20 (2017)
Meyer, A., Crumeyrolle, O., Mutabazi, I., Meier, M., Jongmanns, M., Renoult, M.-C., Egbers, C.: Flow patterns and heat transfer in a cylindrical annulus under 1g and low-g conditions: theory and simulation. Microgravity Sci. Technol. 30, 653–662 (2018)
Mutabazi, I., Yoshikawa, H.N., Tadie Fogaing, M., Travnikov, V., Crumeyrolle, O., Futterer, B., Egbers, C.: Thermo-electro-hydrodynamic convection under microgravity: a review. Fluid Dyn. Res. 48, 061413 (2016)
Pletser, V., Rouquette, S., Friedrich, U., Clervoy, J.-F., Gharib, T., Gai, F., Mora, C.: The first European Parabolic Flight Campaign with the Airbus A310 Zero-G. Microgravity Sci. Technol. 28, 587–601 (2016)
Roberts, P.H.: Electrohydrodynamic convection. Q. J. Mechanics Appl. Math. 22, 211–220 (1969)
Schöpf, W., Patterson, J.C., Brooker, A.M.H.: Evaluation of the shadoygraph method for the convective flow in a side-heated cavity. Exp. Fluids 22, 331–340 (1996)
Seelig, T., Meyer, A., Gerstner, P., Meier, M., Jongmanns, M., Baumann, M., Heuveline, V., Egbers, C.: Dielectrophoretic force-driven convection in annular geometry under Earth’s gravity. Int. J. Heat Mass Transfer 139, 386–398 (2019)
Settles, G.S.: Schlieren and shadowgraph techniques, visualizing phenomena in transparent media. Ed. Springer (2001)
Takashima, M.: Electrohydrodynamic instability in a dielectric fluid between two coaxial cylinders. Mech. Appl. Math. 33, 93–103 (1980)
Travnikov, V., Crumeyrolle, O., Mutabazi, I.: Numerical investigation of the heat transfer in cylindrical annulus with a dielectric fluid under microgravity. Phys. Fluids 27, 054103 (2015)
Travnikov, V., Crumeyrolle, O., Mutabazi, I.: Influence of the thermo-electric coupling on the heat transfer in cylindrical annulus with a dielectric fluid under microgravity. Acta Astronaut. 129, 88–94 (2016)
Turnbull, R.J.: Effect of dielectrophoretic forces on the bénard instability. Phys. Fluids 12, 1809–1815 (1969)
de Vahl Davis, G., Thomas, R.W.: Natural convection between concentric vertical cylinders. Phys. Fluids 12, 198–207 (1969)
Yavorskaya, I.M., Fomina, N.I., Belyaev, Y.N.: A simulation of central-symmetry convection in microgravity conditions. Acta Astronaut. 11, 179–183 (1984)
Yoshikawa, H.N., Tadie Fogaing, M., Crumeyrolle, O., Mutabazi, I.: Dielectrophoretic rayleigh-bénard convection under microgravity conditions. Phys. Rev. E 87, 043003 (2013)
Yoshikawa, H.N., Crumeyrolle, O., Mutabazi, I.: Dielectrophoretic force-driven thermal convection in annular geometry, Phys. Fluids 25, 024106 (2013)
Zaussinger, F., Krebs, A., Travnikov, V., Egbers, C.: Recognition and tracking of convective flow patterns using Wollaston shearing interferometry. Adv. Space Res. 60(6), 1327–1344 (2017)
Acknowledgements
The present work is a part of the CNRS LIA 1092 ISTROF. A. Meyer, M. Meier and M. Jongmanns acknowledge the funding from the German Federal Ministry for Economic Affairs and Energy (BMWi) via the Space Flight Management department of the German Aerospace Center DLR under grant no. 50WM1644 and 50WM1944. This work benefited from the finanacial support of the French Space Agency (CNES) and the French National Research Agency (ANR) through the program “Investissements d’Avenir” (ANR-10LABX-09-01) LABEX EMC3. T. Seelig is funded by DFG (EG100/20-1).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
This article belongs to the Topical Collection: Thirty Years of Microgravity Research - A Topical Collection Dedicated to J. C. Legros
Guest Editor: Valentina Shevtsova
Rights and permissions
About this article
Cite this article
Meyer, A., Meier, M., Jongmanns, M. et al. Effect of the Initial Conditions on the Growth of Thermoelectric Instabilities During Parabolic Flights. Microgravity Sci. Technol. 31, 715–721 (2019). https://doi.org/10.1007/s12217-019-09755-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12217-019-09755-1