eprintid: 19365
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/01/93/65
datestamp: 2024-06-04 14:11:49
lastmod: 2024-06-04 14:11:49
status_changed: 2024-06-04 14:05:33
type: article
metadata_visibility: show
creators_name: Small, A.
creators_name: Nagarani, P.
creators_name: Narahari, M.
title: PERISTALTIC PUMPING OF AN ELLIS FLUID IN AINCLINED ASYMMETRIC CHANNEL
ispublished: pub
note: cited By 0
abstract: The flow of an incompressible Ellis fluid in an inclined asymmetric channel, driven by peristaltic waves was studied under low Reynolds number and long wavelength assumptions. The wave on each side of the channel are assumed to be an infinite train of sinusoidal waves, both having the same constant wave speed and wavelength however, they vary in wave amplitude, channel half width and phase angle. We derived expressions for the axial and transverse velocities, volume flow rate, pressure rise per unit wavelength and streamlines. The effects of varying the wave amplitudes, the phase angle, the channel width, the angle of inclination of the channel as well as the fluid parameters on the flow were analyzed. Trapping conditions were determined and the presence of reflux highlighted using the streamlines for the necessary channel and fluid conditions. By varying the fluid parameters, changes in the fluid that deviated from the Newtonian case resulted in a reduction in the axial velocity in the neighborhood of the center of the channel and a simultaneous increase in the velocity at the periphery of the channel. A nonlinear relation was observed with the pressure rise and the volume flow rate. This nonlinear relation is more pro-nounced with an increase in the absolute value of the volume flow rate. For Newtonian fluids a linear relation exists between these two variables. The fluid parameters had little effects on the streamlines. However, variations of the wave amplitudes, volume flow, channel width and phase angle had greater effects on the streamlines and hence the trapped region. © 2023 KSCAM.
date: 2023
publisher: Korean Society for Computational and Applied Mathematics
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85148299517&doi=10.14317%2fjami.2023.051&partnerID=40&md5=7baae3585a8cf32f328b50a1eeedc1d5
id_number: 10.14317/jami.2023.051
full_text_status: none
publication: Journal of Applied Mathematics and Informatics
volume: 41
number: 1
pagerange: 51-70
refereed: TRUE
issn: 27341194
citation:   Small, A. and Nagarani, P. and Narahari, M.  (2023) PERISTALTIC PUMPING OF AN ELLIS FLUID IN AINCLINED ASYMMETRIC CHANNEL.  Journal of Applied Mathematics and Informatics, 41 (1).  pp. 51-70.  ISSN 27341194