Exact Solutions of Boundary Layer Equations in Polymer Solutions

Exact Solutions of Boundary Layer Equations in Polymer Solutions

The paper presents new exact solutions of equations derived earlier. Three of them describe unsteady motions of a polymer solution near the stagnation point. A class of partially invariant solutions with a wide functional arbitrariness is found. An invariant solution of the stationary problem in whi...

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Veröffentlicht in:Symmetry (Basel) 2021-11, Vol.13 (11), p.2101
Hauptverfasser: Burmistrova, Oksana A., Meleshko, Sergey V., Pukhnachev, Vladislav V.
Format: Artikel
Sprache:eng
Schlagworte:
aqueous solution of a polymer
boundary layer
Boundary layer equations
Cauchy problems
Exact solutions
Generators
invariant solution
Invariants
lie group of transformations
Lie groups
Mathematical analysis
Ordinary differential equations
Polymers
Pressure distribution
Stagnation point
Viscosity
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Beschreibung
Zusammenfassung:The paper presents new exact solutions of equations derived earlier. Three of them describe unsteady motions of a polymer solution near the stagnation point. A class of partially invariant solutions with a wide functional arbitrariness is found. An invariant solution of the stationary problem in which the solid boundary is a logarithmic curve is constructed.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym13112101