Abstract
AbstractAn explicit approximate solution is obtained for the extended Blasius equation subject to its well-known classical boundary conditions, where the viscosity coefficient is assumed to be positive and temperature-dependent, which arises in several important boundary layer problems in fluid dynamics. This problem extends a previous problem by Cortell (Appl Math Comput 170:706–710, 2005) when the viscosity is constant, in which a numerical solution was obtained. A comparison with other numerical solutions demonstrates that our approximate solution shows an enhancement over some of the existing numerical techniques. Moreover, highly accurate estimates for the skin-friction were calculated and found to be in good agreement with the numerical values obtained by Howarth (Proc R Soc A: Math Phys Eng Sci 164(919):547–579, 1938), Töpfer (Z Math Phys 60:397–398, 1912), and Cortell [34] when the viscosity is equal to 1, and when it is equal to 2.
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Reference55 articles.
1. Blasius, H.: Grenzschichten in flüssigkeiten mit kleiner reibung. Z. Angew. Math. Phys. 56, 1–37 (1908)
2. Parlange, J.Y., Braddock, R.D., Sander, G.: Analytical approximations to the solution of the Blasius equation. Acts Mech. 38, 119–125 (1981)
3. Howarth, L.: On the solution of the laminar boundary layer equations. Proc. R. Soc. A: Math. Phys. Eng. Sci. 164(919), 547–579 (1938)
4. Bender, C.M., Milton, K.A., Pinsky, S.S., Simmons, J.L.M.: A new perturbative approach to nonlinear problems. J. Math. Phys. 30(7), 1447–1455 (1989)
5. He, J.H.: Approximate analytical solution of Blasius equation. Commun. Nonlinear Sci. Numer. Simul. 3(4), 260–263 (1998)
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