New analytic solution of Von Karman swirling viscous flow

DOI10.1007/s10440-009-9526-1zbMath1192.35127OpenAlexW2043059180MaRDI QIDQ982227

J. Martínez

Publication date: 6 July 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9526-1

zbMATH Keywords

homotopy perturbation methodexact and approximate solutionsvon Karman swirling viscous flow equation

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Navier-Stokes equations (35Q30) Solutions to PDEs in closed form (35C05) Rotation in hydrodynamic stability (76E07)

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Cites Work

• On the variational iteration method
• New periodic wave solutions via extended mapping method
• Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method
• New applications of variational iteration method using Adomian polynomials
• Adomian decomposition method for solving fractional nonlinear differential equations
• Construction of periodic and solitary wave solutions by the extended Jacobi elliptic function expansion method
• Variational iteration method for unsteady flow of gas through a porous medium using He's polynomials and Padé approximants
• Some relatively new techniques for nonlinear problems
• Modified variational iteration method for solving Helmholtz equations
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• Homotopy perturbation method for bifurcation of nonlinear problems
• Homotopy perturbation method: a new nonlinear analytical technique
• Homotopy perturbation method for solving boundary value problems
• The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations
• New exact travelling wave solutions using modified extended tanh-function method
• Application of homotopy perturbation method to nonlinear wave equations
• New periodic solutions for nonlinear evolution equations using Exp-function method
• On the explicit, purely analytic solution of von Kármán swirling viscous flow
• The rotationally symmetric flow of a viscous fluid in the presence of an infinite rotating disk
• On the flow due to a rotating disk
• Particular Integrals of Linear Differential Equations
• Modified extended tanh-function method for solving nonlinear partial differential equations
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