A new similarity transformation applies to the boundary layer equations, which govern laminar, steady, and incompressible flows. This transformation is proved to be more consistent and more complete than the well known Falkner–Skan transformation. It applies to laminar, incompressible, and steady boundary layer flows with a power-law or exponential profile of the outer velocity. This family of “similar solutions” is resolved for various values of the exponent . A physical interpretation of these velocity profiles is presented, and conclusions are drawn regarding the tolerance of these boundary layers to flow separation under an adverse pressure gradient.
Issue Section:
Research Papers
1.
Schlichting
, H.
, 1981, Boundary Layer Theory
, McGraw-Hill
, New York
.2.
Falkner
, V. M.
, and Skan
, S. W.
, 1931, “Some Approximate Solutions of the Boundary Layer Equations
,” Philos. Mag.
PMHABF 1478-6435, 12
, pp. 865–896.3.
Guedda
, M.
, and Hammouch
, Z.
, 2006, “On Similarity and Pseudo-Similarity of Falkner-Skan Boundary Layers
,” Fluid Dyn. Res.
FDRSEH 0169-5983, 38
, pp. 211–223.4.
Magyari
, E.
, Pop
, I.
, and Keller
, B.
, 2002, “The ‘Missing’ Similarity Boundary-Layer Flow Over a Moving Plane Surface
,” ZAMP
ZAMPDB 0044-2275, 53
, pp. 782–793.5.
Ignatovich
, N. V.
, 1993, “Invariant-Irreducible, Partially Invariant Solutions of Steady-State Boundary Layer Equations of Some Invariant Solutions to the Boundary Layer Equations
,” Mat. Zametki
, 53
(1
), pp. 140–143.6.
Pavlovskii
, Yu. N.
, 1961, “Investigation of Some Invariant Solutions to the Boundary Layer Equations
,” Zh. Vychisl. Mat. Mat. Fiz.
ZVMFAN 0044-4669, 1
(2
), pp. 280–294.Copyright © 2011
by American Society of Mechanical Engineers
You do not currently have access to this content.