Absolute and convective instabilities in the incompressible boundary layer on a rotating disk with temperature-dependent viscosity

The absolute and convective instability of Von-Kármán rotating disk flow with a temperature dependence viscosity of the form μ′ = μ ∞/[1 + ϵ( T − T ∞)/( T ω − T ∞)] is investigated. With the use of a spectral method, the linear stability equations are formulated and then solved numerically. Solution...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2005-02, Vol.48 (5), p.1022-1037
Main Authors: Jasmine, H.A., Gajjar, J.S.B.
Format: Article
Language:English
Subjects:
Buoyancy-driven instability
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic stability
Laminar flows
Physics
Stability of laminar flows
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Summary:The absolute and convective instability of Von-Kármán rotating disk flow with a temperature dependence viscosity of the form μ′ = μ ∞/[1 + ϵ( T − T ∞)/( T ω − T ∞)] is investigated. With the use of a spectral method, the linear stability equations are formulated and then solved numerically. Solutions have been obtained for various values of the parameter ϵ which controls the temperature dependence of viscosity. It is established the stability of the flow is particularly sensitive to changes in viscosity and even for small positive values of ϵ the flow is much more unstable compared to the constant viscosity case.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2004.07.036