scholarly journals Stability of similarity solutions of viscous thread pinch-off

2021 ◽  
Vol 6 (10) ◽  
Author(s):  
Michael C. Dallaston ◽  
Chengxi Zhao ◽  
James E. Sprittles ◽  
Jens Eggers
Keyword(s):  
Similarity Solutions

NEW IMAGINARY-VALUED SIMILARITY SOLUTIONS FOR LAMINAR BOUNDARY LAYERS WITH A SPRAY

2009 ◽  
Vol 19 (12) ◽  
pp. 1105-1111
Author(s):  
Ro'ee Z. Orland ◽  
David Katoshevski ◽  
D. M. Broday
Keyword(s):  
Boundary Layers ◽  
Similarity Solutions ◽  
Laminar Boundary Layers

On the Correlation of Analytical and Experimental Free Shear Layer Similarity Profiles by Spread Rate Parameters

1971 ◽  
Vol 93 (3) ◽  
pp. 377-382 ◽  
Author(s):  
H. H. Korst ◽  
W. L. Chow
Keyword(s):  
Similarity Solutions ◽  
Free Shear Layer ◽  
Spread Rate ◽  
Empirical Parameter ◽  
Jet Mixing ◽  
Free Jet ◽  
Rate Of Spread ◽  
Profile Matching ◽  
Entire Flow ◽  
Definition Of

Analysis of turbulent isobaric free jet mixing normally requires the introduction of suitably formulated viscosity models. Similarity solutions can then be established which contain one empirical parameter. Such a parameter, however, not only describes the rate of spread of the mixing region, but also determines in detail the structure of the entire flow field. It is pointed out that this “spread rate parameter” σ depends on the selected viscosity model, the method of theoretical analysis, and the definition of profile matching. A comparison of different theoretical profiles can only be accomplished after these factors are properly recognized. Any attempts to contribute to the rather incomplete knowledge of the spread parameter must be cognizant of its dependence on the theoretical mixing model employed. This paper also establishes theoretical relations which allow comparison and consolidation of information based on different analytical concepts.

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