Effect of Variable Viscosity on Linear
Thermal Convection in Ferromagnetic Liquids
under Terrestrial Gravity Condition

Roopa G.; D. Uma

doi:https://doi.org/10.14445/22315373/IJMTT-V65I12P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 12 | Year 2019 | Article Id. IJMTT-V65I12P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I12P518

Effect of Variable Viscosity on Linear Thermal Convection in Ferromagnetic Liquids under Terrestrial Gravity Condition

Roopa G., D. Uma

Abstract

The stability analyses of linear theory of ferroconvection in ferromagnetic liquid in the presence of variable viscosity have been studied under terrestrial gravity condition using the generalized Lorenz model. The obtained results show that the stability of the studied ferrofluid system depends on several parameters, namely, magnetic field dependent viscosity V, buoyancy 𝑀1and non-buoyancy force 𝑀3 . Furthermore, the effects of various parameters on the critical stability parameters 𝑅𝑎𝑠 and 𝑘𝑐 are discussed in more detail through graphical and tabular illustrations.

Keywords

Thermal convection, Ferromagnetic liquid, Variable viscosity, Generalized Lorenz model.

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Citation :

Roopa G., D. Uma, "Effect of Variable Viscosity on Linear Thermal Convection in Ferromagnetic Liquids under Terrestrial Gravity Condition," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 12, pp. 166-170, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I12P518