Abstract
The flow of the non-Newtonian fluids is very important for engineers, because of its several applications in various fields of science and engineering. In fluid mechanics a Blasius boundary layer (named after Paul Richard Heinrich Blasius), describes the steady two dimensional laminar boundary layer that forms a semi-infinite plate which is held parallel to a constant unidirectional flow.
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References
V. Marinca, N. Herisanu, Construction of analytic solution to axysymmetric flow and heat transfer on a moving cylinder. Symmetry 12(8), 1335 (2020)
Z. Belhachmi, B. Brighi, K. Taous, On the concave solutions of the Blasius equation. Acta Math. Univ. Comenianae 2, 199–214 (2000)
R. Fazio, Transformation methods for the Blasius problem and its recent variants, in Proceedings of the World Congress on Engineering, London, vol. II (2008)
D.D. Ganji, H. Babazadeh, T. Noori, M.M. Pirouz, M. Janipour, An application of homotopy perturbation method for non-linear Blasius equations to boundary layer flow over a flat plate. Int. J. Nonl. Sci. 7, 399–404 (2009)
H. Towsyfyan, A.A. Salehi, G. Davoudi, The application of homotopy perturbation method to Blasius equations. Res. J. Math. Stat. 5, 1–4 (2013)
H. Aminikhah, Analytical approximation to the solution of nonlinear Blasius viscous flow equation by LTNHPM. ISRN Math. Anal., ID 957473 (2012)
Y. Liu, S.N. Kurra, Solution of Blasius equation by variational iteration. Appl. Math. 1, 24–27 (2011)
I. Ahmad, M. Bilal, Numerical solution of Blasius equation through neural networks algorithms. Amer. J. Comput. Math. 4, 223–232 (2014)
M. Biglari, E. Assareh, I. Poultagani, M. Nedaei, Solving Blasius differential equation by using hybrid neural network and gravitational search algorithm (HNN GSA). Glob. J. Sci. Eng. Techn. 11, 29–36 (2013)
M.A. Peker, O. Karaoglu, G. Oturanc, The differential transformation method and Pade approximant for a form of Blasius equation. Math. Comut. Appl. 16, 507–513 (2011)
V. Adenhounme, F.P. Codo, Solving Blasius problem by Adomian decomposition method. Int. J. Sci. Eng. Res. 3, 1–4 (2012)
S.A. Lal, P.M. Neeraj, An accurate Taylor series solution with high radius of convergence for Blasius function and parameters of asymptotic solution. J. Appl. Fluid Mech. 7, 557–564 (2014)
W. Robin, Some new uniform approximate analytical representations of the Blasius function. Glob. J. Math. 2, 150–155 (2015)
J.H. He, A simple perturbation approach to Blasius equation. Appl. Math. Comput. 140, 217–222 (2003)
V. Marinca, N. Herisanu, The optimal homotopy asymptotic method for solving Blasius equation. Appl. Math. Comput. 231, 134–138 (2014)
A.M. Wazwaz, The variational iteration method for solving two forms of Blasius equation on a half infinite domain. Appl. Math. Comput. 188, 485–499 (2007)
J.P. Boyd, The Blasius function in the complex plane. Experimental Math. 8, 381–394 (1999)
J.P. Boyd, The Blasius function: Computations before computers, the value of tricks, undergraduate projects, and open research problems. SIAM Rev. 50, 791–804 (2008)
O. Costin S. Tanveer, Analytical approximation of Blasius similarity solution with rigorous error bounds. SIAM J. Math. Anal. 46(6), 3782–3813 (2014)
H. Blasius, Grenzschichten in Flussigkeiten mit kleiner Reibung. Z. Math. Phys. 56, 1–37 (1908)
L. Howarth, On the solution of the laminar boundary layer equations. Proc. Lond. Math. Soc. A 164, 547–579 (1938)
A. Asaithambi, Solution of the Falkner-Skan equation by recursive evaluation of Taylor coefficients. J. Comput. Appl. Math. 176, 203–214 (2005)
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Marinca, V., Herisanu, N., Marinca, B. (2021). Blasius Problem. In: Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-75653-6_20
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