Influence of velocity and thermal slip on the peristaltic transport of a Herschel-Bulkley fluid through an inclined porous tube

Divya Baliga, Manjunatha Gudekote, Rajashekhar Choudhari, Hanumesh Vaidya, Kerehalli Vinayaka Prasad

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The present paper investigates the impact of velocity slip and thermal slip on the peristaltic transport of a Herschel-Bulkley fluid, flowing through a uniform twodimensional porous tube under the assumptions of long wavelength and low Reynolds number. The mathematical representations of temperature and velocity fields, pressure gradient, and stream function have been found through the closed-form solutions of the energy and momentum equations. Numerical integration has been employed to compute the frictional force and pressure rise. The influence of relevant parameters in the problem have been discussed and presented graphically. The results reveal the increasing effects of thermal and velocity slip on pressure rise and temperature. Also, trapping phenomena of the Herschel-Bulkley fluid is discussed. The volume of the bolus is observed to increase along with the velocity slip parameter.

Original languageEnglish
Pages (from-to)195-210
Number of pages16
JournalJournal of Advanced Research in Fluid Mechanics and Thermal Sciences
Volume56
Issue number2
Publication statusPublished - 01-01-2019

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Fluids
Pressure gradient
Momentum
Reynolds number
Wavelength
Temperature
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes

Cite this

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title = "Influence of velocity and thermal slip on the peristaltic transport of a Herschel-Bulkley fluid through an inclined porous tube",
abstract = "The present paper investigates the impact of velocity slip and thermal slip on the peristaltic transport of a Herschel-Bulkley fluid, flowing through a uniform twodimensional porous tube under the assumptions of long wavelength and low Reynolds number. The mathematical representations of temperature and velocity fields, pressure gradient, and stream function have been found through the closed-form solutions of the energy and momentum equations. Numerical integration has been employed to compute the frictional force and pressure rise. The influence of relevant parameters in the problem have been discussed and presented graphically. The results reveal the increasing effects of thermal and velocity slip on pressure rise and temperature. Also, trapping phenomena of the Herschel-Bulkley fluid is discussed. The volume of the bolus is observed to increase along with the velocity slip parameter.",
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Influence of velocity and thermal slip on the peristaltic transport of a Herschel-Bulkley fluid through an inclined porous tube. / Baliga, Divya; Gudekote, Manjunatha; Choudhari, Rajashekhar; Vaidya, Hanumesh; Prasad, Kerehalli Vinayaka.

In: Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, Vol. 56, No. 2, 01.01.2019, p. 195-210.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Influence of velocity and thermal slip on the peristaltic transport of a Herschel-Bulkley fluid through an inclined porous tube

AU - Baliga, Divya

AU - Gudekote, Manjunatha

AU - Choudhari, Rajashekhar

AU - Vaidya, Hanumesh

AU - Prasad, Kerehalli Vinayaka

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AB - The present paper investigates the impact of velocity slip and thermal slip on the peristaltic transport of a Herschel-Bulkley fluid, flowing through a uniform twodimensional porous tube under the assumptions of long wavelength and low Reynolds number. The mathematical representations of temperature and velocity fields, pressure gradient, and stream function have been found through the closed-form solutions of the energy and momentum equations. Numerical integration has been employed to compute the frictional force and pressure rise. The influence of relevant parameters in the problem have been discussed and presented graphically. The results reveal the increasing effects of thermal and velocity slip on pressure rise and temperature. Also, trapping phenomena of the Herschel-Bulkley fluid is discussed. The volume of the bolus is observed to increase along with the velocity slip parameter.

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