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When Ludwig Prandtl took up the Chair of Applied Mechanics at Göttingen University in 1904, the small university town became the cradle of modern fluid mechanics and aerodynamics. Not only did Prandtl found two research institutions of worldwide renown, the Aerodynamische Versuchsanstalt (AVA) and the Kaiser-Wilhelm-Institut für Strömungsforschung, but
Johanna Vogel-Prandtl +2 more
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Prandtl–Batchelor Flows on a Disk [PDF]
For steady two-dimensional flows with a single eddy (i.e. nested closed streamlines), Prandtl (1905) and Batchelor (1956) proposed that in the limit of vanishing viscosity the vorticity is constant in an inner region separated from the boundary layer. In this paper, by constructing higher order approximate solutions of the Navier-Stokes equations and ...
Mingwen Fei +3 more
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Mechanical Parameters of the Squeeze Film Curvilinear Bearing Lubricated with a Prandtl Fluid [PDF]
Based upon a Prandtl fluid flow model, a curvilinear squeeze film bearing is considered. The equations of motion are given in a specific coordinate system.
A. Walicka, E. Walicki
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Infinite Prandtl Number Convection [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Constantin, Peter, Doering, Charles R.
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Prandtl number and thermoacoustic refrigerators
From kinetic gas theory, it is known that the Prandtl number for hard-sphere monatomic gases is 2/3. Lower values can be realized using gas mixtures of heavy and light monatomic gases. Prandtl numbers varying between 0.2 and 0.67 are obtained by using gas mixtures of helium–argon, helium–krypton, and helium–xenon.
Tijani, M.E.H. +2 more
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Local well-posedness of solutions to 2D magnetic Prandtl model in the Prandtl-Hartmann regime
In this paper, we prove local existence and uniqueness for the 2D Prandtl-Hartmann regine in weighted Sobolev spaces. Our proof is based on using uniform estimates of the regularized parabolic equation and maximal principle under the Oleinik's monotonicity assumption.
Qin, Yuming, Wang, Xiuqing, Liu, Junchen
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Regularity of the Solution of the Prandtl Equation [PDF]
17 ...
Petrov, V. E., Suslina, T. A.
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Prandtl and the Göttingen school [PDF]
This is a historical review of "Prandtl and the Göttingen School" from his first work in 1898 to after WWII. We report the development of the boundary layer theory and the investigations that lead Ludwig Prandtl in the spring of 1945 to use a energy cascade model to derive for fully developed turbulence the Kolmogrov length scale. Working at the end of
Bodenschatz, Eberhard, Eckert, Michael
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On the Generalized Prandtl Relation [PDF]
Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/77572/1/AIAA-7582-549 ...
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Prandtl-number dependence of convection-driven dynamos in rotating spherical fluid shells [PDF]
The value of the Prandtl number P exerts a strong influence on convection-driven dynamos in rotating spherical shells filled with electrically conducting fluids.
Simitev, R., Busse, F.H.
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