Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblKeywords: similarity solution; boundary layer problem; power series solution
Bognár, Gabriella. On similarity solution of a boundary layer problem for power-law fluids. Mathematica Bohemica, Tome 137 (2012) no. 2, pp. 139-148. doi: 10.21136/MB.2012.142860
@article{10_21136_MB_2012_142860,
author = {Bogn\'ar, Gabriella},
title = {On similarity solution of a boundary layer problem for power-law fluids},
journal = {Mathematica Bohemica},
pages = {139--148},
year = {2012},
volume = {137},
number = {2},
doi = {10.21136/MB.2012.142860},
mrnumber = {2978260},
zbl = {1265.35258},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2012.142860/}
}
TY - JOUR AU - Bognár, Gabriella TI - On similarity solution of a boundary layer problem for power-law fluids JO - Mathematica Bohemica PY - 2012 SP - 139 EP - 148 VL - 137 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2012.142860/ DO - 10.21136/MB.2012.142860 LA - en ID - 10_21136_MB_2012_142860 ER -
[1] Abbasbandy, S.: A numerical solution of Blasius equation by Adomian's decomposition method and comparison with homotopy perturbation method. Chaos Solitons Fractals 31 (2007), 257-260. | DOI | MR
[2] Acrivos, A., Shah, A., Petersen, E. E.: Momentum and heat transfer in laminar boundary-layer flows of non-Newtonian fluids past external surfaces. AIChE J. 6 (1960), 312-317. | DOI
[3] Blasius, H.: Grenzschichten in Flüssigkeiten mit kleiner Reibung. Z. Math. Phys. 56 (1908), 1-37.
[4] Briot, Ch., Bouquet, J. K.: Étude des fonctions d'une variable imaginaire. Journal de l'École Polytechnique, Cashier 36 (1856), 85-131.
[5] Guedda, M.: Similarity and pseudosimilarity soutions of degenerate boundary-layer equations. M. Chipot Handbook of Differential Equations, Stationary Partial Differential Equation vol. 4, North Holland (2007), 117-202. | DOI | MR
[6] He, J-H.: Comparison of homotopy perturbation method and homotopy analysis method. Appl. Math. Comput. 156 (2004), 527-539. | DOI | MR | Zbl
[7] Henrici, P.: Applied and Computational Complex Analysis. Vol. 1. Power Series---Integration---Conformal Mappings---Location of Zeros. Wiley, New York (1974). | MR | Zbl
[8] Hille, E.: Ordinary Differential Equations in the Complex Domain. John Wiley, New York (1976). | MR | Zbl
[9] Howarth, L.: On the solution of the laminar boundary layer equations. Proc. R. Soc. Lond. A 164 (1938), 547-579. | DOI
[10] Liao, S.-J.: An explicit, totally analytic, solution for Blasius viscous flow problems. Int. J. Non-Lin. Mech. 34 (1999), 758-778. | MR
[11] Ince, E. L.: Ordinary Differential Equations. Dover Publ., New York (1956). | MR
[12] Nachman, A., Callegari, A.: A nonlinear singular boundary value problem in the theory of pseudoplastic fluids. SIAM J. Appl. Math. 38 (1980), 275-281. | DOI | MR | Zbl
[13] Schlichting, H., Gersten, K.: Boundary Layer Theory (8th revised and enlarged edition). Springer, Berlin (2000). | MR
[14] Schowalter, W. R.: The application of boundary-layer theory to power-law pseudoplastic fluids: Similar solutions. AIChE J. 6 (1960), 24-28. | DOI
[15] Töpfer, K.: Bemerkung zu dem Aufsatz von H. Blasius: Grenzschichten in Flüssigkeiten mit kleiner Reibung. Z. Math. Phys. 60 (1912), 397-398.
Cité par Sources :