Effect of Hall currents on interaction of pulsatile and peristaltic transport induced flows of a particle–fluid suspension

• Published in: Applied mathematics and computation 2011, Vol.217 (9), p.4313-4320
• Main Author: Gad, N.S.
• Format: Article
• Language: English
• Subjects: Algebraic topology; Channels; Exact sciences and technology; Global analysis, analysis on manifolds; Hall currents; Halls; Magnetic fields; Mathematical analysis; Mathematical models; Mathematics; Navier-Stokes equations; Numerical analysis; Numerical analysis. Scientific computation; Partial differential equations; Peristaltic; Pressure gradients; Pulsatile; Sciences and techniques of general use; Steady flow; Suspension; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds; Traveling waves; Walls
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2010.08.016

The interaction of purely periodic mean flow with a peristaltic induced flow is investigated within the framework of a two-dimensional analogue. The mathematical model considers a viscous incompressible fluid under the effect of transverse magnetic field, taking into account the effect of Hall currents for a magneto-fluid with suspended particles between infinite parallel walls on which a sinusoidal traveling wave is imposed. A perturbation solution to the complete set of Navier–Stokes equations is found for the case in which the frequency of the traveling wave and that of the imposed pressure gradient are equal. The ratio of the traveling wave amplitude to channel width is assumed to be small. For this case a first order steady flow is found to exist, as contrasted to a second order effect in the absence of the imposed periodic pressure gradient. The effect of Hall parameter, Hartmann number and the various parameters included in the problem are discussed numerically.