An explicit, totally analytic solution of laminar viscous flow over a semi-infinite flat plate

DOI10.1016/S1007-5704(98)90061-2zbMath0922.34012OpenAlexW2087598796MaRDI QIDQ1288355

Shi-Jun Liao

Publication date: 1998

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(98)90061-2

zbMATH Keywords

homotopy analysis methodexplicit analytic solutionBlasius' viscous flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stochastic analysis applied to problems in fluid mechanics (76M35) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear boundary value problems for ordinary differential equations (34B05) Waves for incompressible viscous fluids (76D33)

Related Items (13)

Comparison of homotopy perturbation method and homotopy analysis method ⋮ Solving a laminar boundary layer equation with the rational Gegenbauer functions ⋮ Sinc-collocation method for solving the Blasius equation ⋮ New approximate solutions of the Blasius equation ⋮ Analytic approximate solution of the extended Blasius equation with temperature-dependent viscosity ⋮ Modified rational Legendre approach to laminar viscous flow over a semi-infinite flat plate ⋮ Approximate analytical solution of Blasius' equation ⋮ Solution of a laminar boundary layer flow via a numerical method ⋮ HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet ⋮ Nonlinear primary resonance with \(1:3:6\) internal resonances of the symmetric rectangular honeycomb sandwich panels ⋮ Approximate analytical solution of Blasius' equation ⋮ General boundary element method: An application of homotopy analysis method ⋮ A new approximate iteration solution of Blasius equation

Cites Work

• Numerically solving nonlinear problems by the homotopy analysis method
• A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
• An approximate solution technique not depending on small parameters: A special example
• On the general boundary element method

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