Heat transfer analysis on peristaltic transport of a Jeffery fluid in an inclined elastic tube with porous walls

G. Manjunatha, C. Rajashekhar, Hanumesh Vaidya, K. V. Prasad, Saraswati, B. B. Divya

Research output: Contribution to journalArticle

Abstract

This article analyses the effects of heat transfer and thermal conductivity on the peristaltic transport of Jeffery fluid through an inclined elastic tube with porous walls. The velocity slip and convective boundary conditions are taken into account. The modeled governing equations are solved analytically by considering the long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, flow rate, and the theoretical determination of flow rate is calculated with the help of equilibrium condition given by Rubinow and Keller. A parametric analysis has been presented to study the effects of Jeffery parameter, thermal conductivity, Darcy number, the angle of inclination, velocity slip, Biot number, amplitude ratio, Prandtl number, and Eckert number on velocity, flow rate, and temperature are scrutinized. The streamlines show that the bolus moves with the same speed as that of the wave and further the study reveals that an increase in the Biot number reduces the magnitude of the temperature.

Original languageEnglish
Article number20070101
JournalInternational Journal of Thermofluid Science and Technology
Volume7
Issue number1
DOIs
Publication statusPublished - 01-01-2020

Fingerprint

porous walls
heat transfer
Flow rate
tubes
Heat transfer
Fluids
fluids
Thermal conductivity
Biot number
flow velocity
Prandtl number
slip
thermal conductivity
Reynolds number
Boundary conditions
Wavelength
Temperature
inclination
boundary conditions
conductivity

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes
  • Condensed Matter Physics
  • Mechanical Engineering
  • Mechanics of Materials

Cite this

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abstract = "This article analyses the effects of heat transfer and thermal conductivity on the peristaltic transport of Jeffery fluid through an inclined elastic tube with porous walls. The velocity slip and convective boundary conditions are taken into account. The modeled governing equations are solved analytically by considering the long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, flow rate, and the theoretical determination of flow rate is calculated with the help of equilibrium condition given by Rubinow and Keller. A parametric analysis has been presented to study the effects of Jeffery parameter, thermal conductivity, Darcy number, the angle of inclination, velocity slip, Biot number, amplitude ratio, Prandtl number, and Eckert number on velocity, flow rate, and temperature are scrutinized. The streamlines show that the bolus moves with the same speed as that of the wave and further the study reveals that an increase in the Biot number reduces the magnitude of the temperature.",
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Heat transfer analysis on peristaltic transport of a Jeffery fluid in an inclined elastic tube with porous walls. / Manjunatha, G.; Rajashekhar, C.; Vaidya, Hanumesh; Prasad, K. V.; Saraswati; Divya, B. B.

In: International Journal of Thermofluid Science and Technology, Vol. 7, No. 1, 20070101, 01.01.2020.

Research output: Contribution to journalArticle

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AU - Rajashekhar, C.

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AU - Saraswati,

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