Rheological properties and peristalsis of rabinowitsch fluid through compliant porous walls in an inclined channel

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

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The present mathematical model examines the thermal effects of the complaint and porous walls on the peristaltic mechanism of Rabinowitsch fluid in an inclined channel. The influence of convective heat transfer on temperature variation is analyzed. The closed-form solutions are obtained for velocity, temperature, the coefficient of heat transfer and streamlines with the help of long wavelength and small Reynold’s number approximation. The impact of relevant parameters of interest on velocity, temperature, the coefficient of heat transfer and streamlines for dilatant, Newtonian and pseudoplastic fluids are also analyzed and discussed through graphs. The results reveal that the velocity diminishes for shear thickening fluid, but it enhances for Newtonian and shear thinning fluids for an increase in the value of the porous parameter. Also, it is seen that the Biot number increases the temperature for dilatant fluid, whereas, it decreases for Newtonian and pseudoplastic fluids. Furthermore, the formation of trapped bolus enhances for Newtonian fluid as compared to the dilatant and pseudoplastic fluids cases. However, the trapped bolus increases for larger values of the porous parameter.

Original languageEnglish
Pages (from-to)970-979
Number of pages10
JournalJournal of Nanofluids
Volume8
Issue number5
DOIs
Publication statusPublished - 01-01-2019

Fingerprint

Fluids
Heat transfer
Temperature
Shear thinning
Thermal effects
Reynolds number
Mathematical models
Wavelength

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

Vaidya, Hanumesh ; Rajashekhar, C. ; Manjunatha, G. ; Prasad, K. V. / Rheological properties and peristalsis of rabinowitsch fluid through compliant porous walls in an inclined channel. In: Journal of Nanofluids. 2019 ; Vol. 8, No. 5. pp. 970-979.
@article{6f35ebb2f350426fb4872ca9f7331eed,
title = "Rheological properties and peristalsis of rabinowitsch fluid through compliant porous walls in an inclined channel",
abstract = "The present mathematical model examines the thermal effects of the complaint and porous walls on the peristaltic mechanism of Rabinowitsch fluid in an inclined channel. The influence of convective heat transfer on temperature variation is analyzed. The closed-form solutions are obtained for velocity, temperature, the coefficient of heat transfer and streamlines with the help of long wavelength and small Reynold’s number approximation. The impact of relevant parameters of interest on velocity, temperature, the coefficient of heat transfer and streamlines for dilatant, Newtonian and pseudoplastic fluids are also analyzed and discussed through graphs. The results reveal that the velocity diminishes for shear thickening fluid, but it enhances for Newtonian and shear thinning fluids for an increase in the value of the porous parameter. Also, it is seen that the Biot number increases the temperature for dilatant fluid, whereas, it decreases for Newtonian and pseudoplastic fluids. Furthermore, the formation of trapped bolus enhances for Newtonian fluid as compared to the dilatant and pseudoplastic fluids cases. However, the trapped bolus increases for larger values of the porous parameter.",
author = "Hanumesh Vaidya and C. Rajashekhar and G. Manjunatha and Prasad, {K. V.}",
year = "2019",
month = "1",
day = "1",
doi = "10.1166/jon.2019.1664",
language = "English",
volume = "8",
pages = "970--979",
journal = "Journal of Nanofluids",
issn = "2169-432X",
publisher = "American Scientific Publishers",
number = "5",

}

Rheological properties and peristalsis of rabinowitsch fluid through compliant porous walls in an inclined channel. / Vaidya, Hanumesh; Rajashekhar, C.; Manjunatha, G.; Prasad, K. V.

In: Journal of Nanofluids, Vol. 8, No. 5, 01.01.2019, p. 970-979.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Rheological properties and peristalsis of rabinowitsch fluid through compliant porous walls in an inclined channel

AU - Vaidya, Hanumesh

AU - Rajashekhar, C.

AU - Manjunatha, G.

AU - Prasad, K. V.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The present mathematical model examines the thermal effects of the complaint and porous walls on the peristaltic mechanism of Rabinowitsch fluid in an inclined channel. The influence of convective heat transfer on temperature variation is analyzed. The closed-form solutions are obtained for velocity, temperature, the coefficient of heat transfer and streamlines with the help of long wavelength and small Reynold’s number approximation. The impact of relevant parameters of interest on velocity, temperature, the coefficient of heat transfer and streamlines for dilatant, Newtonian and pseudoplastic fluids are also analyzed and discussed through graphs. The results reveal that the velocity diminishes for shear thickening fluid, but it enhances for Newtonian and shear thinning fluids for an increase in the value of the porous parameter. Also, it is seen that the Biot number increases the temperature for dilatant fluid, whereas, it decreases for Newtonian and pseudoplastic fluids. Furthermore, the formation of trapped bolus enhances for Newtonian fluid as compared to the dilatant and pseudoplastic fluids cases. However, the trapped bolus increases for larger values of the porous parameter.

AB - The present mathematical model examines the thermal effects of the complaint and porous walls on the peristaltic mechanism of Rabinowitsch fluid in an inclined channel. The influence of convective heat transfer on temperature variation is analyzed. The closed-form solutions are obtained for velocity, temperature, the coefficient of heat transfer and streamlines with the help of long wavelength and small Reynold’s number approximation. The impact of relevant parameters of interest on velocity, temperature, the coefficient of heat transfer and streamlines for dilatant, Newtonian and pseudoplastic fluids are also analyzed and discussed through graphs. The results reveal that the velocity diminishes for shear thickening fluid, but it enhances for Newtonian and shear thinning fluids for an increase in the value of the porous parameter. Also, it is seen that the Biot number increases the temperature for dilatant fluid, whereas, it decreases for Newtonian and pseudoplastic fluids. Furthermore, the formation of trapped bolus enhances for Newtonian fluid as compared to the dilatant and pseudoplastic fluids cases. However, the trapped bolus increases for larger values of the porous parameter.

UR - http://www.scopus.com/inward/record.url?scp=85058148272&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85058148272&partnerID=8YFLogxK

U2 - 10.1166/jon.2019.1664

DO - 10.1166/jon.2019.1664

M3 - Article

VL - 8

SP - 970

EP - 979

JO - Journal of Nanofluids

JF - Journal of Nanofluids

SN - 2169-432X

IS - 5

ER -