Published 6 issues per year
ISSN Print: 2152-5102
ISSN Online: 2152-5110
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THERMAL INSTABILITY OF HOT FERROFLUID LAYER WITH TEMPERATURE-DEPENDENT VISCOSITY
ABSTRACT
In this paper stability analysis of the ferrofluid layer heated from below when viscosity is temperature dependent is carried out analytically for the general nature of bounding surfaces. Using the analytical method of Pellew and Southwell [Proc. Roy. Soc. A, vol. 176, pp. 312–343, 1940] of conjugate eigenfunctions, the principle of exchange of stabilities (PES) is proved to be valid for the problem for very small values of magnetic parameter. This result yields that the ferroconvection is through the stationary mode only and the result is uniformly valid whether viscosity is temperature dependent or constant. However, for certain classes of hot fluids (in some astrophysical situations) the magnetic parameter can have large values, and this quantitative effect has a qualitative effect on the instability of ferrofluids. It is shown here that for large values of magnetic parameter oscillatory instability can exist and hence the bounds for the growth rate of unstable oscillatory modes of the problem are also derived herein.
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Singh Dhiman Joginder, Sharma Nivedita, On the Oscillatory Convective Instability in Nanofluid Layer with Temperature Dependent Viscosity, Journal of Physics: Conference Series, 1298, 1, 2019. Crossref
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Dhiman Joginder Singh, Sood Sumixal, Linear and weakly non-linear stability analysis of oscillatory convection in rotating ferrofluid layer, Applied Mathematics and Computation, 430, 2022. Crossref