Stationary subsonic boundary layer in the regions of local heating of   surface
  The problem of disturbed flow in the laminar boundary layer is investigated when a heating element is located on the surface of the body. The flow is supposed to be laminar one. It is shown that the problem may be solved in terms of free interaction theory. The solution of linear flat problem is constructed. The results of asymptotic analysis are also presented. 
M.V. Koroteev, I.I. Lipatov