Effects of Inclined Magnetic Field on a Fluid with Non-linear Variable Viscosity in a Uniform Tube with Peristalsis

Authors: Elnaby, A. H. Abd¹; Shamy, I. I. El²

Source: Multidiscipline Modeling in Materials and Structures, Volume 5, Number 4, 2009 , pp. 395-409(15)

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Abstract:

In order to determined the characteristics of peristaltic transport of the Newtonian fluid with variable viscosity through a cylindrical tube having walls that are transversely displaced by an in finite, harmonic traveling wave of large wavelength and negligibly small Reynolds number was analyzed in the presence of magnetic field directed with an angle ω. A perturbation method of solution is thought. The viscosity parameter α <<1 is chosen as a perturbation parameter. It serves as a model for the study of flow of chyme through small intestines. The governing equations are developed up to first-order in the viscosity parameter (α). In case of the first-order system, simpling a complicated group of products of Bessel functions by approximating polynomial. The results show that, the increasing of magnetic field increases the pressure rise. Also, the pressure rise at normal magnetic field (ω=π/2) is greater than the pressure rise at inclined magnetic field (0<ω<π/2). In addition, the pressure rise increases as the viscosity parameter decreases at certain values of flow rate. Comparisons with other studies are given.

Keywords: INCLINED MAGNETIC FIELD; NON-LINEAR VARIABLE VISCOSITY; PERISTALSIS

Document Type: Research article

DOI: http://dx.doi.org/10.1163/157361109789808016

Affiliations: 1: Department of Mathematics, Faculty of Science, New Damietta Egypt 2: Department of Mathematics, Faculty of Science, New Damietta Egypt;, Email: elshamyii@hotmail.com

Publication date: 2009-10-01