### 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 language | English |
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Pages (from-to) | 195-210 |

Number of pages | 16 |

Journal | Journal of Advanced Research in Fluid Mechanics and Thermal Sciences |

Volume | 56 |

Issue number | 2 |

Publication status | Published - 01-01-2019 |

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### All Science Journal Classification (ASJC) codes

- Fluid Flow and Transfer Processes

### Cite this

*Journal of Advanced Research in Fluid Mechanics and Thermal Sciences*,

*56*(2), 195-210.

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*Journal of Advanced Research in Fluid Mechanics and Thermal Sciences*, vol. 56, no. 2, pp. 195-210.

**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.

Research output: Contribution to journal › Article

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

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

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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UR - http://www.scopus.com/inward/citedby.url?scp=85065469589&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85065469589

VL - 56

SP - 195

EP - 210

JO - Journal of Advanced Research in Fluid Mechanics and Thermal Sciences

JF - Journal of Advanced Research in Fluid Mechanics and Thermal Sciences

SN - 2289-7879

IS - 2

ER -