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Zbl 1223.76119
Ebaid, A.
A new numerical solution for the MHD peristaltic flow of a bio-fluid with variable viscosity in a circular cylindrical tube via Adomian decomposition method. (English)
[J] Phys. Lett., A 372, No. 32, 5321-5328 (2008). ISSN 0375-9601

Summary: In this Letter, we considered a numerical treatment for the solution of the hydromagnetic peristaltic flow of a bio-fluid with variable viscosity in a circular cylindrical tube using Adomian decomposition method and a modified form of this method. The axial velocity is obtained in a closed form. Comparison is made between the results obtained by only three terms of Adomian series with those obtained previously by perturbation technique. It is observed that only few terms of the series expansion are required to obtain the numerical solution with good accuracy.

MSC 2000:: *76W05 Flows in presence of electromagnetic forces
92C35 Physiological flows
76Z05 Physiological flows
76B10 Free-streamline theory and appl.

Keywords: hydromagnetic; peristaltic flow; bio-fluid; variable viscosity; Adomian decomposition method

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Zentralblatt MATH Berlin [Germany]