Effect of Internal Heat Source on the Onset of Double-Diffusive Convection in a Rotating Nanofluid Layer with Feedback Control Strategy

I. K. Khalid, N. F.M. Mokhtar, Ishak Hashim, Z. B. Ibrahim, S. S.A. Gani

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A linear stability analysis has been carried out to examine the effect of internal heat source on the onset of Rayleigh-Bénard convection in a rotating nanofluid layer with double diffusive coefficients, namely, Soret and Dufour, in the presence of feedback control. The system is heated from below and the model used for the nanofluid layer incorporates the effects of thermophoresis and Brownian motion. Three types of bounding systems of the model have been considered which are as follows: Both the lower and upper bounding surfaces are free, the lower is rigid and the upper is free, and both of them are rigid. The eigenvalue equations of the perturbed state were obtained from a normal mode analysis and solved using the Galerkin method. It is found that the effect of internal heat source and Soret parameter destabilizes the nanofluid layer system while increasing the Coriolis force, feedback control, and Dufour parameter helps to postpone the onset of convection. Elevating the modified density ratio hastens the instability in the system and there is no significant effect of modified particle density in a nanofluid system.

Original languageEnglish
Article number2789024
JournalAdvances in Mathematical Physics
Volume2017
DOIs
Publication statusPublished - 2017

Fingerprint

Nanofluid
Heat Source
heat sources
feedback control
Feedback Control
Feedback control
Convection
Control Strategy
Rotating
convection
Thermophoresis
Internal
Coriolis force
Linear stability analysis
Brownian movement
Galerkin methods
Soret coefficient
thermophoresis
Galerkin method
Coriolis Force

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Effect of Internal Heat Source on the Onset of Double-Diffusive Convection in a Rotating Nanofluid Layer with Feedback Control Strategy. / Khalid, I. K.; Mokhtar, N. F.M.; Hashim, Ishak; Ibrahim, Z. B.; Gani, S. S.A.

In: Advances in Mathematical Physics, Vol. 2017, 2789024, 2017.

Research output: Contribution to journalArticle

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