Thermal instability in a rotating porous layer saturated by a non-Newtonian nanofluid with thermal conductivity and viscosity variation

Dhananjay Yadav, R. Bhargava, G. S. Agrawal, Nirmal Yadav, Jinho Lee, M. C. Kim

Research output: Contribution to journalArticle

59 Citations (Scopus)

Abstract

The stability of a non-Newtonian nanofluid saturated horizontal rotating porous layer subjected to thermal conductivity and viscosity variation is investigated using linear and nonlinear stability analyses. The model used for the non-Newtonian nanofluid includes the effects of Brownian motion and thermophoresis. The Darcy law for the non-Newtonian nanofluid of the Oldroyd type is used to model the momentum equation. The linear theory based on the normal mode method, and the criteria for both stationary and oscillatory modes are derived analytically. A weak nonlinear analysis based on the minimal representation of truncated Fourier series method containing only two terms is used to compute the concentration and thermal Nusselt numbers. The results obtained during the analysis are presented graphically.

Original languageEnglish
Pages (from-to)425-440
Number of pages16
JournalMicrofluidics and Nanofluidics
Volume16
Issue number1-2
DOIs
Publication statusPublished - 2014 Jan

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thermal instability
Thermal conductivity
thermal conductivity
Thermophoresis
Viscosity
viscosity
thermophoresis
Brownian movement
Fourier series
Nonlinear analysis
Nusselt number
Momentum
momentum
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Materials Chemistry

Cite this

Yadav, Dhananjay ; Bhargava, R. ; Agrawal, G. S. ; Yadav, Nirmal ; Lee, Jinho ; Kim, M. C. / Thermal instability in a rotating porous layer saturated by a non-Newtonian nanofluid with thermal conductivity and viscosity variation. In: Microfluidics and Nanofluidics. 2014 ; Vol. 16, No. 1-2. pp. 425-440.
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Thermal instability in a rotating porous layer saturated by a non-Newtonian nanofluid with thermal conductivity and viscosity variation. / Yadav, Dhananjay; Bhargava, R.; Agrawal, G. S.; Yadav, Nirmal; Lee, Jinho; Kim, M. C.

In: Microfluidics and Nanofluidics, Vol. 16, No. 1-2, 01.2014, p. 425-440.

Research output: Contribution to journalArticle

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AU - Yadav, Dhananjay

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AB - The stability of a non-Newtonian nanofluid saturated horizontal rotating porous layer subjected to thermal conductivity and viscosity variation is investigated using linear and nonlinear stability analyses. The model used for the non-Newtonian nanofluid includes the effects of Brownian motion and thermophoresis. The Darcy law for the non-Newtonian nanofluid of the Oldroyd type is used to model the momentum equation. The linear theory based on the normal mode method, and the criteria for both stationary and oscillatory modes are derived analytically. A weak nonlinear analysis based on the minimal representation of truncated Fourier series method containing only two terms is used to compute the concentration and thermal Nusselt numbers. The results obtained during the analysis are presented graphically.

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