scholarly journals Well-Posedness of Boundary Layer Equations for Time-Dependent Flow of Non-Newtonian Fluids

2013 ◽  
Vol 16 (1) ◽  
pp. 179-191 ◽  
Author(s):  
Michael Renardy ◽  
Xiaojun Wang
Keyword(s):  
Boundary Layer ◽  
Newtonian Fluids ◽  
Time Dependent ◽  
Well Posedness ◽  
Boundary Layer Equations ◽  
Dependent Flow

A boundary layer theorem, with applications to rotating cylinders

1957 ◽  
Vol 2 (1) ◽  
pp. 89-99 ◽  
Author(s):  
M. B. Glauert
Keyword(s):  
Boundary Layer ◽  
Circular Cylinder ◽  
Compressible Flow ◽  
Slip Flow ◽  
Three Dimensional ◽  
Time Dependent ◽  
Boundary Layer Equations ◽  
Rotating Circular Cylinder ◽  
Quantitative Results ◽  
Explicit Formulae

If, in a given solution of the boundary layer equations, the position of the wall is varied, then additional solutions of the boundary layer equations may be deduced. The theorem considers the nature of such solution, for the general case of time-dependent three-dimensional compressible flow.Applications of the theorem arise in several different fields, and it is shown that useful quantitative results can often be obtained with the minimum of calculation. In this paper, chief attention is focused on the case of a rotating circular cylinder, and explicit formulae are developed for the skin friction, valid for sufficiently low rotational speeds. The important results which the theorem gives for slip flow have been noted by previous extenions to these previous treatments are made. Other applications of the theorem are briefly mentioned.

Sign in / Sign up

Export Citation Format

Share Document