Effect of Couple Stresses on Peristaltic Flow in a Doubly Connected Region

K. R. Rashmi; Indira Ramarao; S. Jagadeesha; K. R. Sreegowrav

doi:10.26713/cma.v14i4.2585

Authors

K. R. Rashmi Department of Mathematics, Nitte Meenakshi Institute of Technology, Bengaluru, India https://orcid.org/0000-0003-4997-4714
Indira Ramarao Department of Mathematics, Nitte Meenakshi Institute of Technology, Bengaluru, India https://orcid.org/0000-0001-8801-2927
S. Jagadeesha Department of Mathematics, Nitte Meenakshi Institute of Technology, Bengaluru, India https://orcid.org/0000-0002-1294-6253
K. R. Sreegowrav Department of Mathematics, School of Applied Science, Reva University, Bengaluru, India https://orcid.org/0000-0003-2069-8402

DOI:

https://doi.org/10.26713/cma.v14i4.2585

Keywords:

Eccenticity, Couple-stress parameter, Pulsatile flow, Perturbation method, Volume flow rate

Abstract

An eccentric annular region created by insertion of endoscope or catheter in a blood vessel is considered. A sinusoidal wave is assumed to propagate on outer wall, inner wall being rigid. A fully developed flow of couple-stress is assumed in the annular region subject to approximation of long wavelength. Analytical solution is obtained for pressure gradient and axial velocity using regular perturbation method. Average flow rate $\bar{Q}$ is fixed. The effect of azimuthal coordinate $θ$ , couple stress parameter $α$ and eccentricty $ϵ$ are studied.

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Effect of Couple Stresses on Peristaltic Flow in a Doubly Connected Region

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