International Journal of Fluid Mechanics Research
Publication de 6 numéros par an
ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110
IF:
1.1
5-Year IF:
1.3
Eigenfactor:
0.0002
JCI:
0.33
SJR:
0.256
SNIP:
0.49
CiteScore™::
2.4
H-Index:
23
Indexed in
Lie Groups and Scale-Invariant Forms of the Prandtl Equations
Volume 28,
Numéro 1&2, 2001,
pp. 151-163
DOI: 10.1615/InterJFluidMechRes.v28.i1-2.110
RÉSUMÉ
Various forms of scale-invariant variables, functions and differential equations, including the generalized Blasius equation, are obtained on a basis of Lie groups. It is shown that form of the general ordinary differential equation is determined by choice of a parametric variable. Using symmetry properties, the generalized Blasius equation is reduced to a first order equation. Two new scale-invariant solutions of the Prandtl equations are obtained. A way of transforming the one-parameter Lie algebra of the Prandtl equations, involving four subalgebras, to an algebra with three subalgebras, one of which is two-parameter subalgebra, is shown.
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