Comptes Rendus
no. 10
On the three-dimensional alternative to the Blasius boundary-layer solution
[Sur l'alternative tri-dimensionnelle à la solution de couche limite de Blasius]

Présenté par : Évariste Sanchez-Palencia

Adhil Ridha1
1 LMNO, université de Caen, BP 5186, 14032 Caen cedex, France
Comptes Rendus. Mécanique, Volume 333 (2005) no. 10, pp. 768-772.

Des investigations théoriques ont montré qu'une alternative tridimensionnelle à la solution de Blasius existe pour l'écoulement en couche limite laminaire sur une plaque plane semi-infinie à incidence nulle. Dans cette Note, on montre numériquement qu'il existe une classe des solutions tridimensionnelles confinée au cas correspondant à une plaque plane presque à incidence nulle.

Theoretical investigations have shown that there is a three-dimensional alternative to the Blasius solution for laminar boundary layer flow past a semi-infinite flat plate at zero incident. In this Note we show numerically that there exists a class of three-dimensional solutions confined to almost zero incident conditions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2005.09.002
Keywords: Fluid mechanics, Blasius solution, Zero incidence flow
Mot clés : Mécanique des fluides, Solution de Blasius, Écoulement à incidence nulle
Adhil Ridha 1

1 LMNO, université de Caen, BP 5186, 14032 Caen cedex, France 
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Adhil Ridha. On the three-dimensional alternative to the Blasius boundary-layer solution. Comptes Rendus. Mécanique, Volume 333 (2005) no. 10, pp. 768-772. doi : 10.1016/j.crme.2005.09.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.09.002/

[1] A. Ridha Sur la couche limite incompressible laminaire le long d'un dièdre, C. R. Acad. Sci. Paris Sér. II, Volume 311 (1990), pp. 1123-1128

[2] A. Ridha On the dual solutions associated with boundary-layer equations in a corner, J. Engrg. Math., Volume 26 (1992), pp. 525-537

[3] A. Ridha Three-dimensional mixed convection laminar boundary-layer near a plane of symmetry, Int. J. Engrg. Sci., Volume 34 (1996) no. 26, pp. 659-675

[4] M.R. Dhanak; P.M. Duck The effects of freestream pressure gradient on corner boundary layer, Proc. Roy. Soc. London, Volume 453 (1997), pp. 1793-1815

[5] A. Ridha Flow along streamwise corners revisited, J. Fluid Mech., Volume 476 (2003), pp. 223-265

[6] P. Duck; S. Dry On a class of unsteady, non-parallel, three-dimensional disturbances to boundary layer flows, J. Fluid Mech., Volume 441 (2001), pp. 31-65

[7] P. Duck; J. Owen Non-modal stability and breakdown in corner and three-dimensional boundary layers, Proc. Roy. Soc. London, Volume 460 (2003), pp. 1335-1357

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