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Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel
Author(s) -
Mehdi Esmaeilpour,
Naeem Roshan,
Negar Roshan,
D.D. Ganji
Publication year - 2011
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2011/257903
Subject(s) - homotopy analysis method , mathematics , nonlinear system , homotopy perturbation method , fluid dynamics , mathematical analysis , flow (mathematics) , partial differential equation , perturbation (astronomy) , vector field , viscoelasticity , homotopy , calculus (dental) , mechanics , geometry , physics , quantum mechanics , pure mathematics , medicine , dentistry , thermodynamics
An analytical method, called homotopy perturbation method (HPM), is used to compute an approximation to the solution of the nonlinear differential equation governing the problem of two-dimensional and steady flow of a second-grade fluid in a converging channel. The table and figures are presented for influencing various parameters on the velocity field. The results compare well with those obtained by the numerical method. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.

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