Abstract
The present investigation is on linear analytical study of thermohaline convective instability in micropolar ferrofluid using perturbation technique. The fluid layer is heated from below and salted from above. The theory of linear stability is used to reduce the non-linear effects on governing equations and normal mode analysis is taken to study. The critical magnetic thermal Rayleigh number NSC is obtained for sufficient large value of M1 and an oscillatory instability is determined. The parameters and are analyzed for stabilizing behavior and, and M3 give the destabilizing behavior. The results are depicted graphically.
Highlights
Ferrofluids are colloidal suspension of fine magnetic mono domain nano-particles in non - conducting liquids
Narasimma Murty [12] examined the instability of the Bénard convection in a micropolar fluid using linear stability analysis
Thermohaline convection in a ferrofluid has been analyzed by Vaidyanathan et al [13] with two-component fluid
Summary
Ferrofluids are colloidal suspension of fine magnetic mono domain nano-particles in non - conducting liquids. Finlayson [3] has been investigated the convection in ferrofluid in single component fluid with uniform magnetic fluid This investigation is extended to porous medium by Vaidyanathan et al [4]. Thermohaline convection in a ferrofluid has been analyzed by Vaidyanathan et al [13] with two-component fluid. The theoretical investigation of a micropolar ferromagnetic two component fluid in non-presence of Darcy porous effect has been undertaken by Sunil et al [15]. Reena and Rana [19] have been analyzed the thermosolutal convective instability of micropolar rotating fluids in a porous effect. Chand [20] studied the porous effect on triple-diffusive convective instability in micropolar ferromagnetic fluid. Using the analyses Vaidyanathan et al [13, 14], Eqs. (25)–(29) have been adopted to get
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