EFFECT OF SUSPENDED PARTICLES ON MARGINAL STABILITY OF A DOUBLE-DIFFUSIVE MAGNETIZED FERROFLUID WITH INTERNAL ANGULAR MOMENTUM

2010 ◽  
Vol 197 (12) ◽  
pp. 1553-1570
Author(s):  
Sunil ◽  
Prakash Chand ◽  
Amit Mahajan
Keyword(s):  
Angular Momentum ◽  
Suspended Particles ◽  
Marginal Stability ◽  
Magnetized Ferrofluid ◽  
Double Diffusive

scholarly journals Double-Diffusive Convection in Presence of Compressible Rivlin-Ericksen Fluid with Fine Dust

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Mahinder Singh ◽  
Rajesh Kumar Gupta
Keyword(s):  
Normal Modes ◽  
Suspended Particles ◽  
Double Diffusive Convection ◽  
Fine Dust ◽  
Stationary Convection ◽  
Viscoelastic Parameter ◽  
Diffusive Convection ◽  
Rayleigh Numbers ◽  
Solute Gradient ◽  
Double Diffusive

An investigation is made on the effect of suspended particles (fine dust) on double-diffusive convection of a compressible Rivlin-Ericksen elastico-viscous fluid. The perturbation equations are analyzed in terms of normal modes after linearizing the relevant set of equations. A dispersion relation governing the effects of viscoelasticity, compressibility, stable solute gradient, and suspended particles is derived. For stationary convection, Rivlin-Ericksen fluid behaves like an ordinary Newtonian fluid due to the vanishing of the viscoelastic parameter. The stable solute gradient compressibility has a stabilizing effect on the system whereas suspended particles hasten the onset of thermosolutal instability. The Rayleigh numbers and the wave numbers of the associated disturbances for the onset of instability as stationary convection are obtained and the behaviour of various parameters on Rayleigh numbers has been depicted graphically. It has been observed that oscillatory modes are introduced due to the presence of viscoelasticity, suspended particles, and stable solute gradient which were not existing in the absence of these parameters.

Double-Diffusive Convection

2013 ◽  
Author(s):  
Gary A. Glatzmaier
Keyword(s):  
Oscillation Amplitude ◽  
Marginal Stability ◽  
Double Diffusive Convection ◽  
Diffusive Convection ◽  
Nonlinear Simulations ◽  
Fingering Instability ◽  
Zero Growth ◽  
Salt Fingering ◽  
Rayleigh Numbers ◽  
Double Diffusive

This chapter discusses double-diffusive convection, with a particular focus on the initial instability and eventual nonlinear evolution. It first considers the “salt-fingering” instability and then the “semiconvection” instability before discussing the possibility that the onsets of these instabilities at marginal stability have an amplitude that oscillates in time. The goal is to find the conditions that would result in a zero growth rate of the oscillation amplitude in order to determine the marginal stability constraint on the Rayleigh numbers for the onset of an oscillating instability. The chapter also shows how, after evolving beyond the onset of the instability, thermal diffusion between the moving parcel and the surroundings can alter the initial linear vertical profile of the horizontal-mean temperature into a “staircase” profile. This evolution of the temperature profile is investigated via nonlinear simulations.

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