Approximate solution of problem on viscous flow with evaporating non-compact free boundary

2017 ◽  
pp. 249-257
Author(s):  
Anton A. Smolianski
Keyword(s):  
Approximate Solution ◽  
Free Boundary ◽  
Viscous Flow

On the stability of viscous flow in a curved channel

1958 ◽  
Vol 244 (1237) ◽  
pp. 186-198 ◽  
Keyword(s):  
Approximate Solution ◽  
Pressure Gradient ◽  
Viscous Flow ◽  
Close Agreement ◽  
Curved Channel ◽  
A Value ◽  
Concentric Cylinders ◽  
The Stability ◽  
Pattern Of Motion

In this paper the stability of viscous flow between two concentric cylinders due to a pressure gradient acting round the cylinders is considered when the spacing between the cylinders is small compared with their radii. Two methods of approximate solution are described, both of which show that instability first sets in when the parameter R √( d / R 1 ) attains a value of about 36 in close agreement with earlier results of Dean (1928). The pattern of motion which then sets in is of the familar cellular type but with a marked asymmetry.

On the Approximate Solution of Viscous-Flow Problems

1963 ◽  
Vol 30 (2) ◽  
pp. 263-268 ◽  
Author(s):  
J. A. Schetz
Keyword(s):  
Approximate Solution ◽  
Exact Solutions ◽  
Viscous Flow ◽  
Closed Form ◽  
New Method ◽  
Two Dimensional ◽  
General Technique ◽  
Closed Form Solutions ◽  
Flow Problems

The need for a general technique for the approximate solution of viscous-flow problems is discussed. Existing methods are considered and a new method is presented which results in simple closed-form solutions. The accuracy of the method is demonstrated by comparisons with the results of known exact solutions, and finally the general technique is employed to determine a new solution for the fully expanded two-dimensional laminar nozzle problem.

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