Peristaltic motion of non-Newtonian fluid with variable liquid properties in a convectively heated nonuniform tube

Rabinowitsch fluid model

H. Vaidya, C. Rajashekhar, G. Manjunatha, K. V. Prasad, O. D. Makinde, S. Sreenadh

Research output: Contribution to journalArticle

Abstract

This paper investigates the effects of variation in viscosity and thermal conductivity on the peristaltic mechanism of Rabinowitsch fluid through a nonuniform tube. The convective surface conditions and wall properties are taken into account. The governing equations of motion, momentum, and energy are rendered dimensionless and are solved using long wavelength and small Reynolds number approximations. The series solution technique is employed to solve the resulting nonlinear temperature equation. The effects of relevant parameters on physiological quantities of interest are analyzed graphically, and the validation of the present model with the existing literature has been presented through graphs. The outcomes of the study reveal that an increase in the value of variable viscosity and thermal conductivity enhances the velocity and temperature profiles for dilatant, Newtonian, and pseudoplastic fluid models. Further, an increase in the value of variable viscosity enhances the skin friction coefficient and Nusselt number. Moreover, the presence of variable viscosity diminishes the volume of the trapped bolus.

Original languageEnglish
Pages (from-to)277-294
Number of pages18
JournalJournal of Enhanced Heat Transfer
Volume26
Issue number3
DOIs
Publication statusPublished - 01-01-2019

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Viscosity
viscosity
tubes
Fluids
fluids
Liquids
liquids
Thermal conductivity
thermal conductivity
conductivity
skin friction
Newtonian fluids
Skin friction
Nusselt number
temperature profiles
coefficient of friction
Equations of motion
Reynolds number
Momentum
equations of motion

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

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title = "Peristaltic motion of non-Newtonian fluid with variable liquid properties in a convectively heated nonuniform tube: Rabinowitsch fluid model",
abstract = "This paper investigates the effects of variation in viscosity and thermal conductivity on the peristaltic mechanism of Rabinowitsch fluid through a nonuniform tube. The convective surface conditions and wall properties are taken into account. The governing equations of motion, momentum, and energy are rendered dimensionless and are solved using long wavelength and small Reynolds number approximations. The series solution technique is employed to solve the resulting nonlinear temperature equation. The effects of relevant parameters on physiological quantities of interest are analyzed graphically, and the validation of the present model with the existing literature has been presented through graphs. The outcomes of the study reveal that an increase in the value of variable viscosity and thermal conductivity enhances the velocity and temperature profiles for dilatant, Newtonian, and pseudoplastic fluid models. Further, an increase in the value of variable viscosity enhances the skin friction coefficient and Nusselt number. Moreover, the presence of variable viscosity diminishes the volume of the trapped bolus.",
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year = "2019",
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Peristaltic motion of non-Newtonian fluid with variable liquid properties in a convectively heated nonuniform tube : Rabinowitsch fluid model. / Vaidya, H.; Rajashekhar, C.; Manjunatha, G.; Prasad, K. V.; Makinde, O. D.; Sreenadh, S.

In: Journal of Enhanced Heat Transfer, Vol. 26, No. 3, 01.01.2019, p. 277-294.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Peristaltic motion of non-Newtonian fluid with variable liquid properties in a convectively heated nonuniform tube

T2 - Rabinowitsch fluid model

AU - Vaidya, H.

AU - Rajashekhar, C.

AU - Manjunatha, G.

AU - Prasad, K. V.

AU - Makinde, O. D.

AU - Sreenadh, S.

PY - 2019/1/1

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AB - This paper investigates the effects of variation in viscosity and thermal conductivity on the peristaltic mechanism of Rabinowitsch fluid through a nonuniform tube. The convective surface conditions and wall properties are taken into account. The governing equations of motion, momentum, and energy are rendered dimensionless and are solved using long wavelength and small Reynolds number approximations. The series solution technique is employed to solve the resulting nonlinear temperature equation. The effects of relevant parameters on physiological quantities of interest are analyzed graphically, and the validation of the present model with the existing literature has been presented through graphs. The outcomes of the study reveal that an increase in the value of variable viscosity and thermal conductivity enhances the velocity and temperature profiles for dilatant, Newtonian, and pseudoplastic fluid models. Further, an increase in the value of variable viscosity enhances the skin friction coefficient and Nusselt number. Moreover, the presence of variable viscosity diminishes the volume of the trapped bolus.

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