Effect of variable liquid properties on peristaltic flow of a Rabinowitsch fluid in an inclined convective porous channel

Hanumesh Vaidya, C. Rajashekhar, G. Manjunatha, K. V. Prasad

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The peristaltic mechanism of a Rabinowitsch liquid in an inclined porous channel is reported in the presence of variable liquid properties. The convective conditions at the boundary walls are considered. The governing nonlinear equations are rendered dimensionless and solved with the help of the perturbation technique. The analytical solutions for velocity, temperature and streamlines are obtained and analysed graphically. Also, the pumping characteristics are discussed, and MATLAB programming has been used to tabulate the pumping efficiency. Further, the impact of relevant parameters of interest on physiological quantities are analysed for dilatant, Newtonian and pseudoplastic fluid models. The obtained results show the presence of variable liquid properties and convective conditions have a significant role in understanding the rheological properties of shear thinning, viscous and shear thickening fluid models. The investigation further reveals that an increase in the value of porous parameters diminishes the occurrence of the trapping phenomenon for Newtonian and dilatant fluid models. On the other hand, opposite behaviour is noticed for pseudoplastic fluids.

Original languageEnglish
Article number231
JournalEuropean Physical Journal Plus
Volume134
Issue number5
DOIs
Publication statusPublished - 01-05-2019

Fingerprint

fluids
liquids
Newtonian fluids
pumping
shear thinning
programming
nonlinear equations
trapping
occurrences
shear
perturbation
temperature

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

@article{79f21695ff734e15b43e002da5d73680,
title = "Effect of variable liquid properties on peristaltic flow of a Rabinowitsch fluid in an inclined convective porous channel",
abstract = "The peristaltic mechanism of a Rabinowitsch liquid in an inclined porous channel is reported in the presence of variable liquid properties. The convective conditions at the boundary walls are considered. The governing nonlinear equations are rendered dimensionless and solved with the help of the perturbation technique. The analytical solutions for velocity, temperature and streamlines are obtained and analysed graphically. Also, the pumping characteristics are discussed, and MATLAB programming has been used to tabulate the pumping efficiency. Further, the impact of relevant parameters of interest on physiological quantities are analysed for dilatant, Newtonian and pseudoplastic fluid models. The obtained results show the presence of variable liquid properties and convective conditions have a significant role in understanding the rheological properties of shear thinning, viscous and shear thickening fluid models. The investigation further reveals that an increase in the value of porous parameters diminishes the occurrence of the trapping phenomenon for Newtonian and dilatant fluid models. On the other hand, opposite behaviour is noticed for pseudoplastic fluids.",
author = "Hanumesh Vaidya and C. Rajashekhar and G. Manjunatha and Prasad, {K. V.}",
year = "2019",
month = "5",
day = "1",
doi = "10.1140/epjp/i2019-12536-y",
language = "English",
volume = "134",
journal = "European Physical Journal Plus",
issn = "2190-5444",
publisher = "Springer Science + Business Media",
number = "5",

}

Effect of variable liquid properties on peristaltic flow of a Rabinowitsch fluid in an inclined convective porous channel. / Vaidya, Hanumesh; Rajashekhar, C.; Manjunatha, G.; Prasad, K. V.

In: European Physical Journal Plus, Vol. 134, No. 5, 231, 01.05.2019.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Effect of variable liquid properties on peristaltic flow of a Rabinowitsch fluid in an inclined convective porous channel

AU - Vaidya, Hanumesh

AU - Rajashekhar, C.

AU - Manjunatha, G.

AU - Prasad, K. V.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - The peristaltic mechanism of a Rabinowitsch liquid in an inclined porous channel is reported in the presence of variable liquid properties. The convective conditions at the boundary walls are considered. The governing nonlinear equations are rendered dimensionless and solved with the help of the perturbation technique. The analytical solutions for velocity, temperature and streamlines are obtained and analysed graphically. Also, the pumping characteristics are discussed, and MATLAB programming has been used to tabulate the pumping efficiency. Further, the impact of relevant parameters of interest on physiological quantities are analysed for dilatant, Newtonian and pseudoplastic fluid models. The obtained results show the presence of variable liquid properties and convective conditions have a significant role in understanding the rheological properties of shear thinning, viscous and shear thickening fluid models. The investigation further reveals that an increase in the value of porous parameters diminishes the occurrence of the trapping phenomenon for Newtonian and dilatant fluid models. On the other hand, opposite behaviour is noticed for pseudoplastic fluids.

AB - The peristaltic mechanism of a Rabinowitsch liquid in an inclined porous channel is reported in the presence of variable liquid properties. The convective conditions at the boundary walls are considered. The governing nonlinear equations are rendered dimensionless and solved with the help of the perturbation technique. The analytical solutions for velocity, temperature and streamlines are obtained and analysed graphically. Also, the pumping characteristics are discussed, and MATLAB programming has been used to tabulate the pumping efficiency. Further, the impact of relevant parameters of interest on physiological quantities are analysed for dilatant, Newtonian and pseudoplastic fluid models. The obtained results show the presence of variable liquid properties and convective conditions have a significant role in understanding the rheological properties of shear thinning, viscous and shear thickening fluid models. The investigation further reveals that an increase in the value of porous parameters diminishes the occurrence of the trapping phenomenon for Newtonian and dilatant fluid models. On the other hand, opposite behaviour is noticed for pseudoplastic fluids.

UR - http://www.scopus.com/inward/record.url?scp=85066149906&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85066149906&partnerID=8YFLogxK

U2 - 10.1140/epjp/i2019-12536-y

DO - 10.1140/epjp/i2019-12536-y

M3 - Article

AN - SCOPUS:85066149906

VL - 134

JO - European Physical Journal Plus

JF - European Physical Journal Plus

SN - 2190-5444

IS - 5

M1 - 231

ER -