Effects of heat transfer on peristaltic transport of a Bingham fluid through an inclined tube with different wave forms

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

Research output: Contribution to journalArticle

Abstract

The present study investigates the effects of slip and heat transfer on peristaltic mechanism of Bingham fluid in an inclined tube. The sinusoidal, multi-sinusoidal, triangular, square and trapezoidal wave forms are considered. The analysis has been carried out under the assumptions of long wavelength and small Reynold's number approximations. The closed-form solutions are obtained for velocity, plug flow velocity, pressure gradient, streamlines, and temperature. The numerical integration is employed to investigate the effects of pressure rise and frictional force. The influence of relevant parameters on physiological quantities of interest is analyzed and discussed through graphs. The study reveals that velocity and thermal slip have a decreasing effect on velocity and temperature. Further, it is noticed that the volume of trapped bolus increases for increasing values of velocity slip parameter.

Original languageEnglish
Pages (from-to)158-177
Number of pages20
JournalDefect and Diffusion Forum
Volume392
DOIs
Publication statusPublished - 01-01-2019

Fingerprint

heat transfer
tubes
Heat transfer
slip
Fluids
fluids
square waves
plugs
Pressure gradient
numerical integration
pressure gradients
Flow velocity
Reynolds number
flow velocity
Wavelength
Temperature
temperature
approximation
wavelengths

All Science Journal Classification (ASJC) codes

  • Radiation
  • Materials Science(all)
  • Condensed Matter Physics

Cite this

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abstract = "The present study investigates the effects of slip and heat transfer on peristaltic mechanism of Bingham fluid in an inclined tube. The sinusoidal, multi-sinusoidal, triangular, square and trapezoidal wave forms are considered. The analysis has been carried out under the assumptions of long wavelength and small Reynold's number approximations. The closed-form solutions are obtained for velocity, plug flow velocity, pressure gradient, streamlines, and temperature. The numerical integration is employed to investigate the effects of pressure rise and frictional force. The influence of relevant parameters on physiological quantities of interest is analyzed and discussed through graphs. The study reveals that velocity and thermal slip have a decreasing effect on velocity and temperature. Further, it is noticed that the volume of trapped bolus increases for increasing values of velocity slip parameter.",
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Effects of heat transfer on peristaltic transport of a Bingham fluid through an inclined tube with different wave forms. / Vaidya, Hanumesh; Rajashekhar, C.; Manjunatha, G.; Prasad, K. V.

In: Defect and Diffusion Forum, Vol. 392, 01.01.2019, p. 158-177.

Research output: Contribution to journalArticle

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AU - Prasad, K. V.

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