Abstract
Steady flow excited by oscillatory motion of the fluid in a non-uniformly rotating (librating) cylinder is experimentally investigated. Librations lead to the propagation of inertial waves, which are born near the junction of the side and end walls of the cavity. As a result of multiple reflections from the cavity walls, the inertial waves experience a spatial resonance, exciting so-called inertial modes. The latter are a system of vortices in which the direction of rotation of the fluid varies during the period of librations. It is found that the oscillatory motion in the fluid bulk leads to the appearance of intense steady flow in the Stokes boundary layer on the side wall of the cylinder. The flow structure has the form of a system of averaged toroidal vortices located along the entire side cavity wall. The number of vortices is determined by the axial wave number of the excited mode and does not depend on the radial wave number. It is shown that the intensity of the steady flow is proportional to the square of the libration amplitude and strongly depends on the number of the mode.
Highlights
Steady flow excited by oscillatory motion of the fluid in a non-uniformly rotating cylinder is experimentally investigated
Librations lead to the propagation of inertial waves, which are born near the junction of the side and end walls of the cavity
As a result of multiple reflections from the cavity walls, the inertial waves experience a spatial resonance, exciting so-called inertial modes. The latter are a system of vortices in which the direction of rotation of the fluid varies during the period of librations
Summary
Что осциллирующее движение во вращающейся жидкости является источником для поддержания инерционных волн [1]. Многократное отражение волн от стенок полости при некоторых частотах либраций способствует возникновению пространственного резонанса, в результате чего в жидкости возникают крупномасштабные осциллирующие вихревые структуры, которые получили название инерционных мод [3]. Одним из наиболее распространенных способов возбуждения инерционных волн и мод является неравномерное вращение, при котором скорость вращения полости периодически меняется с частотой σ (либрации). С другой стороны, как было недавно обнаружено в экспериментах [7], отражение инерционной волны от стенок полости приводит к возникновению осредненных течений в пограничных слоях. Целью настоящей работы является PIV-исследование (Particle Image Velocimetry) потоков, которые возникают в пограничных слоях при резонансном возбуждении в полости инерционной моды
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
