Influence of Flow and Rotational Oscillations on the Mechanics of Two-Dimensional Laminar Boundary-Layer Flow past Cylinders, Including Uniform Suction or Blowing

摘要

A theoretical investigation of the influence of flow oscillation, fluctuating circulation and rotational oscillation upon the transfer of momentum, heat and mass in two-dimensional laminar boundary-layer flow past cylinders with or without uniform suction. The boundary-layer equations for flow, temperature and concentration are linearized by means of a perturbation procedure and the first three terms retained. The solutions of the velocity, temperature and concentration components are obtained in the forms of an ordinary Blasius series for a symmetrical blunt body and a generalized Blasius series for a sharp-edged body. Theoretical results include the frequency response of fluid velocity, temperature and concentration, the streamline patterns of the streaming, the distribution of the steady second-order temperature and concentration, and the alternations in the shear stress, rates of heat and mass transfer. For flow around a circular cylinder numerical results show that the permanent alterations in the skin friction and heat transfer rate induced by the flow oscillation, fluctuating circulation and rotational oscillation are very small in the range of small amplitude and low frequency. (Author)