Advances in Engineering Advances in Engineering features breaking research judged by Advances in Engineering advisory team to be of key importance in the Engineering field. Papers are selected from over 10,000 published each week from most peer reviewed journals.
Acta Mechanica, .2015, Volume 226, Issue 4, pp 1123-1131. Patrick Weidman.
Department of Mechanical Engineering, University of Colorado, Boulder, CO, 80309-0427, USA.
Abstract
The flow identified by Berker (Encyclopedia of Physics, Springer, Berlin, 1963) on the motion induced between two parallel infinite plates rotating at angular velocity Ω with offset centers of rotation was solved by Abbot and Walters (J Fluid Mech 40:205–213, 1970). Here, we consider the same problem in a fluid uniformly rotating at angular velocity ω. The flow is then governed by a Reynolds number R and σ = ω/Ω which represents the ratio of Coriolis to inertial forces. As in the original problem, the loci of centers of rotation projected onto the mid-plane form logarithmic spirals. Sample similarity profiles at fixed R and σ are given in graphical form. Features of the logarithmic spirals in both the inertial and rotating frames of reference are also presented in graphical form.
