ROTATING CONVECTION IN A BINARY VISCOELASTIC LIQUID MIXTURE

2005 ◽  
Vol 15 (10) ◽  
pp. 3329-3336 ◽  
Author(s):  
D. LAROZE ◽  
J. MARTÍNEZ-MARDONES ◽  
C. PÉREZ-GARCIA
Keyword(s):  
Binary Mixture ◽  
Liquid Mixture ◽  
Numerical Results ◽  
Viscoelastic Liquid ◽  
Control Parameters ◽  
Oscillatory Convection ◽  
Stationary Convection ◽  
Rotating Convection ◽  
Stabilizing Effect ◽  
Explicit Expressions

In this work we report theoretical and numerical results on convection in a viscoelastic binary mixture under rotation. Instability thresholds for stationary convection are calculated. We obtain explicit expressions of convective thresholds in terms of the control parameters of the system for oscillatory convection. Finally, we analyze the stabilizing effect of rotation on instability thresholds for aqueous DNA suspensions.

AMPLITUDE EQUATION FOR STATIONARY CONVECTION IN A ROTATING BINARY FERROFLUID

2009 ◽  
Vol 19 (08) ◽  
pp. 2755-2764 ◽  
Author(s):  
D. LAROZE ◽  
J. MARTINEZ-MARDONES ◽  
L. M. PÉREZ ◽  
Y. RAMESHWAR
Keyword(s):  
Boundary Conditions ◽  
Amplitude Equation ◽  
Numerical Results ◽  
Control Parameters ◽  
Stationary Convection ◽  
Explicit Expressions

We report both theoretical and numerical results on convection for a binary magnetic mixture under rotation. We focus on the stationary convection for idealized boundary conditions. We obtain explicit expressions of convective thresholds in terms of the control parameters of the system. Close to bifurcation, the coefficients of the corresponding amplitude equation are determined analytically. The effect of the magnetophoresis and Kelvin force are emphasized and, finally, the nature of the bifurcation is discussed.

AMPLITUDE EQUATION FOR STATIONARY CONVECTION IN A VISCOELASTIC MAGNETIC FLUID

2010 ◽  
Vol 20 (02) ◽  
pp. 235-242 ◽  
Author(s):  
D. LAROZE ◽  
J. MARTINEZ-MARDONES ◽  
L. M. PÉREZ
Keyword(s):  
Boundary Conditions ◽  
Magnetic Fluid ◽  
Amplitude Equation ◽  
Numerical Results ◽  
Control Parameters ◽  
Stationary Convection ◽  
Carrier Liquid ◽  
Explicit Expressions

We report theoretical and numerical results on convection for a magnetic fluid in a viscoelastic carrier liquid. We focus on the stationary convection for idealized boundary conditions. We obtain explicit expressions of convective thresholds in terms of the control parameters of the system. Close to bifurcation, the coefficients of the corresponding amplitude equation are determined analytically. The effect of the rheology and Kelvin force are emphasized and, finally, the nature of the bifurcation is discussed.

Application of a Perturbated Two-Maxwellian Approach for the Modelling of Kinetic Stress Transfer by Collision in Non-Equilibrium Binary Mixture of Inelastic Particles

2005 ◽  
Author(s):  
Pascal Fede ◽  
Olivier Simonin
Keyword(s):  
Binary Mixture ◽  
Stress Transfer ◽  
Numerical Results ◽  
Particle Simulation ◽  
Particulate Flows ◽  
Discrete Particle ◽  
Discrete Particle Simulation ◽  
Non Equilibrium

This paper introduce a model for the kinetic stress transfer by collision in binary mixture of inelastic particles. The derived model is based on a perturbated two-Maxwellian approach allowing to described non-equilibrium particulate flows. The model is validated by comparison with numerical results carried out using a deterministic Discrete Particle Simulation (DPS).

scholarly journals Effect of Suspended Particles on Thermosolutal Convection of Rivlin-Ericksen Fluid in Porous Medium with Variable Gravity

2018 ◽  
Vol 23 (3) ◽  
pp. 813-820 ◽  
Author(s):  
A.K. Aggarwal ◽  
D. Dixit
Keyword(s):  
Porous Medium ◽  
Suspended Particles ◽  
Thermosolutal Convection ◽  
Stationary Convection ◽  
Medium Permeability ◽  
Stabilizing Effect ◽  
Variable Gravity ◽  
Solute Gradient

Abstract The thermosolutal stability of a layer of the Rivlin-Ericksen fluid in a porous medium is considered under varying gravity conditions. It is found that for stationary convection, medium permeability and suspended particles have a destabilizing/stabilizing effect when gravity increases/decreases. The stable solute gradient has a stabilizing effect on the system.

scholarly journals On thermosolutal convection in presence of compressible fluid with fine dust

2014 ◽  
Vol 19 (1) ◽  
pp. 133-143
Author(s):  
M. Singh ◽  
R.K. Gupta
Keyword(s):  
Viscous Fluid ◽  
Compressible Fluid ◽  
Suspended Particles ◽  
Thermosolutal Convection ◽  
Fine Dust ◽  
Stationary Convection ◽  
Onset Of Convection ◽  
Stabilizing Effect ◽  
Dust Effect ◽  
Solute Gradient

Abstract A layer of a Rivlin-Ericksen elastico-viscous fluid heated and soluted from below in the presence of compressibility and suspended particles (fine dust) effect is considered. For stationary convection, the Rivlin- Ericksen, elastico-viscous fluid behaves like a Newtonian fluid. The oscillatory modes are introduced due to the presence of a stable solute gradient, suspended particles destabilize the system whereas the stable solute gradient has a stabilizing effect on the system and the effect of compressibility is to postpone the onset of thermosolutal convection. The stable solute gradient and compressibility postpone the onset of convection, whereas the suspended particles hasten the onset of convection. The stable solute gradient introduces oscillatory modes in the systems which were non-existent in its absence

Overflow processes for multiserver queues with finite waiting room

1984 ◽  
Vol 16 (1) ◽  
pp. 8-8
Author(s):  
Jos H. A. De Smit
Keyword(s):  
Renewal Process ◽  
Numerical Results ◽  
Markov Renewal Process ◽  
Waiting Room ◽  
Multiserver Queues ◽  
Phase Type ◽  
Service Times ◽  
Overflow Process ◽  
Explicit Expressions

The overflow process of the multiserver queue with phase-type service times and finite waiting room is a Markov renewal process. The solution for this process is obtained. If the service times are exponential the overflow process reduces to a renewal process. For the latter case explicit expressions and numerical results are given.

scholarly journals Complex permittivity spectra of binary polar liquids using time domain reflectometry

2018 ◽  
Vol 08 (03) ◽  
pp. 1850019 ◽  
Author(s):  
Shagufta Tabassum ◽  
V. P. Pawar
Keyword(s):  
Binary Mixture ◽  
Time Domain ◽  
Liquid Mixture ◽  
Frequency Dispersion ◽  
Time Domain Reflectometry ◽  
Frequency Range ◽  
Polar Liquids ◽  
Entropy Formula ◽  
Electric Dipoles ◽  
Loss Formula

The study of complex properties in a binary mixture of polar liquids has been carried out in the frequency range of 10[Formula: see text]MHz to 30 GHz at 293[Formula: see text]K and 298[Formula: see text]K temperatures using time domain reflectometry. The complex properties of polar liquids in binary mixture give information about the frequency dispersion in the dielectric permittivity ([Formula: see text]) and dielectric loss ([Formula: see text]). The information regarding the orientation of electric dipoles in a polar liquid mixture is given by Kirkwood parameters. The Bruggeman parameters are used as the indicator of liquid1 and liquid2 interaction. Molar entropy ([Formula: see text]) and molar enthalpy ([Formula: see text]) are also discussed at the end of the paper.

Stationary convection in a binary mixture of ferrofluids in a porous medium

2020 ◽  
Vol 52 (3) ◽  
pp. 035501
Author(s):  
P Hounsou ◽  
A V Monwanou ◽  
C H Miwadinou ◽  
J B Chabi Orou
Keyword(s):  
Porous Medium ◽  
Binary Mixture ◽  
Stationary Convection
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