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4 International Journal of Applied Mechanics and Engineering

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Flow of a viscoelastic fluid of Rivlin-Ericksen between rotating surfaces of revolution

100%

Walicka A.

2003

tom Vol. 8, no spec.

179-186

A theoretical aspect of a flow of a viscoelastic fluid of Rivlin-Ericksen in a gap between two surfaces of revolution is considered. The effect of centrifugal (rotational) inertia forces on the flow field is examined. The examples of flows in the gap between two disks and two concentric spheres arediscussed. The obtained results show that the fluid inertia forces have significant effects on the velocities and pressure distributions.

The instability of streaming viscous-viscoelastic fluids in a porous medium

100%

Kumar P. , Singh G. J.

2012

tom Vol. 17, no. 1

191-201

The Kelvin-Helmholtz instability of a Newtonian viscous fluid overlying a viscoelastic fluid in a porous medium is considered separately for Walters B' and Rivlin-Ericksen viscoelastic fluids. It is found that for the special case when perturbations in the directions of streaming are ignored, the system is unstable for a potentially unstable configuration and the system is stable for a potentially stable configuration for Rivlin-Ericksen viscoelastic fluids, which is in contrast to the case of the Walters B' viscoelastic fluid, where the system can be stable or unstable depending upon kinematic viscoelasticity, medium porosity, relative density of the viscoelastic fluid and medium permeability, for both potentially unstable and potentially stable configurations. In every other direction, a minimum value of wave-number has been found. The system is unstable for all wave-numbers greater than this minimum wave number.

Thermosolutal convection in Rivlin-Ericksen fluid in the presence of Hall currents in a porous medium in hydromagnetics

100%

Kango S. K. , Singh V.

2012

tom Vol. 17, no. 1

71-82

The thermosolutal instability of a layer of a Rivlin-Ericksen elastico-viscous fluid is considered in the presence of a uniform horizontal magnetic field to include the Hall currents in a porous medium. For the case of stationary convection, the Hall currents hasten the onset of convection, the magnetic field postpones the onset of convection, medium permeability also postpones the onset of convection in the presence of the Hall currents, whereas the kinematic viscoelasticity has no effect on the onset of convection. The Hall currents, kinematic viscoelasticity, magnetic field, medium permeability and the solute parameter introduce oscillatory modes in the system, which were non-existent in their absence. The case of overstability is also considered wherein the sufficient conditions for the non-existence of overstability are obtained.

Stability of incompressible Rivlin-Ericksen elastico-viscous superposed fluid in porous medium

84%

Rana G. C. , Sharma V. , Kango S. K.

2012

tom Vol. 17, no. 2

471-480

The stability of a Rivlin-Ericksen elastico-viscous superposed fluid in a porous medium is considered. The system is found to be stable/unstable for bottom heavy / top heavy configurations density wise as in a Newtonian viscous fluid. For an exponential varying density, viscosity, viscoelasticity, medium porosity and medium permeability, the system is found to be stable for all wave numbers for becomes stable stratifications and unstable for the unstable stratifications. The behavior of growth with respect to fluid kinematic viscosity, viscoelasticity, medium porosity and medium permeability is examined analytically and graphically.