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A numerical treatment for the solution of the hydromagnetic peristaltic flow of a bio‐fluid with variable viscosity in a circular cylindrical tube
Author(s) -
Sezer Sefa Anıl,
Yıldırım Ahmet
Publication year - 2010
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1398
Subject(s) - homotopy perturbation method , mechanics , magnetohydrodynamics , homotopy analysis method , tube (container) , magnetohydrodynamic drive , viscosity , perturbation (astronomy) , peristaltic pump , physics , mathematics , numerical analysis , variable (mathematics) , flow (mathematics) , viscous liquid , mathematical analysis , homotopy , magnetic field , thermodynamics , engineering , mechanical engineering , quantum mechanics , pure mathematics
In this study, we obtained a new numerical solution for the MHD peristaltic flow of a bio‐fluid with variable viscosity in a circular cylindrical tube via the homotopy perturbation method (HPM). The axial velocity is obtained in a closed form. We made comparison between the results obtained by only three terms of HPM series with those obtained previously by perturbation technique. We observe that only few terms of the series expansion are required to obtain the numerical solution with good accuracy. Copyright © 2010 John Wiley & Sons, Ltd.