Peristaltic viscoelastic fluid motion in a tube

Peristaltic Viscoelastic Fluid Motion in a Tube

Peristaltic motion of viscoelastic incompressible fluid in an axisymmetric tube with a sinusoidal wave is studied theoretically in the case that the radius of the tube is small relative to the wavelength. Oldroyd flow has been considered in this study and the problem is formulated and analyzed using a perturbation expansion in terms of the variation of the wave number. This analysis can model t...

Peristaltic pumping and irreversibility of a Stokesian viscoelastic fluid

Peristaltic pumping by wavelike contractions is a fundamental biomechanical mechanism for fluid and material transport and is used in the esophagus, intestine, oviduct, and ureter. While peristaltic pumping of a Newtonian fluid is well understood, in many important settings, as in the fluid dynamics of reproduction, the fluids have non-Newtonian responses. Here, we present a numerical method fo...

Peristaltic pumping of viscous fluid in an elastic tube

D. TAKAGI AND N. J. BALMFORTH† Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, V6T 1Z2, Canada Department of Earth and Ocean Science, University of British Columbia, 6339 Stores Road, Vancouv...

Peristaltic motion of a Carreau fluid in an asymmetric channel

Peristaltic transport of a fluid in channels has been a subject of great interest for the last four decades. Such interest is motivated by several applications of peristaltic flows in engineering and industry. In animals and human bodies, the physiological fluids pumped by the muscular oscillations which correspond to peristaltic activity. In particular, the flow of blood through arteries and v...

The unsteady motion of a sphere in a viscoelastic fluid