The investigation deals with the “spin-up” of the liquid partially filling a right circular cylinder which is impulsively accelerated from rest to a constant angular velocity. By application of certain simplifying assumptions, a simplification of the Navier-Stokes equations is obtained and numerically solved, obtaining the unsteady angular velocity distribution of the liquid and the configuration of the liquid’s free surface, as it approaches, asymptotically with time, a paraboloid. The simplifying assumptions are qualitatively verified by experiment. Measurement of the theoretically predicted free-surface configuration is obtained by an electrohydraulic servosystem designed and developed for the problem. Good agreement between experiment and theory is obtained.
Unsteady Rotating Flow in a Cylinder With a Free Surface
Department of Mechanical Engineering, School of Engineering and Applied Science, University of Virginia, Charlottesville, Va.
Department of Mechanical Engineering, State University of New York at Buffalo, Buffalo, N. Y.
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Goller, H., and Ranov, T. (December 1, 1968). "Unsteady Rotating Flow in a Cylinder With a Free Surface." ASME. J. Basic Eng. December 1968; 90(4): 445–452. https://doi.org/10.1115/1.3605159
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