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1
Content available Triple diffusive convection of a non-Newtonian fluid under the combined effect of compressibility and variable gravity
Aggarwal A. K., Dixit D.
International Journal of Applied Mechanics and Engineering
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2019
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Vol. 24, no. 4
1--11
EN
In this paper, triple diffusive convection in a Rivlin-Ericksen fluid layer, which is permeated with suspended particles in the porous medium under the effect of compressibility and variable gravity, is investigated. Linear stability theory and normal mode analysis have been used to study the problem under consideration. It is observed that, for stationary convection, suspended particles, compressibility and medium permeability have destabilizing/stabilizing effects under certain conditions. The variable gravity parameter destabilizes the system whereas stable solute gradients have a stabilizing effect.
2
Content available Radiation absorption and chemical reaction effects on Rivlin-Ericksen flow past a vertical moving porous plate
Sravanthi C. S., Gorla R. S. R.
International Journal of Applied Mechanics and Engineering
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2019
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Vol. 24, no. 3
675--689
EN
An analysis has been carried out to study the combined effects of radiation absorption and chemical reaction on an incompressible, electrically conducting and radiating flow of a Rivlin-Ericksen fluid along a semi-infinite vertical permeable moving plate in the presence of a transverse applied magnetic field. It is assumed that the suction velocity, the temperature and the concentration at the wall are exponentially varying with time. The dimensionless governing equations for this investigation are solved analytically using two-term harmonic and non-harmonic functions. A comparison is made with the available results in the literature for a special case and our results are in very good agreement with the known results. A parametric study of the physical parameters is made and results are presented through graphs and tables. The results indicate that the fluid velocity and temperature could be controlled by varying the radiation absorption.
3
Content available Effect of suspended particles on thermosolutal convection of Rivlin-Ericksen fluid in porous medium with variable gravity
Aggarwal A. K., Dixit D.
International Journal of Applied Mechanics and Engineering
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2018
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Vol. 23, no. 3
813--820
EN
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.
4
Content available Effective interfacial tension effect on the instability of streaming Rivlin-Ericksen elastico-viscous fluid flow through a porous medium
Singh M.
International Journal of Applied Mechanics and Engineering
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2016
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Vol. 21, no. 1
221--229
EN
The instability of the plane interface between two uniform, superposed and streaming Rivlin-Ericksen elastico-viscous fluids through porous media, including the ‘effective interfacial tension’ effect, is considered. In the absence of the ‘effective interfacial tension’ stability/instability of the system as well as perturbations transverse to the direction of streaming are found to be unaffected by the presence of streaming if perturbations in the direction of streaming are ignored, whereas for perturbation in all other directions, there exists instability for a certain wave number range. The ‘effective interfacial tension’ is able to suppress this Kelvin-Helmholtz instability for small wavelength perturbations, the medium porosity reduces the stability range given in terms of a difference in streaming velocities.
5
Content available remote Thermosolutal convection in Rivlin-Ericksen fluid in the presence of Hall currents in a porous medium in hydromagnetics
Kango S. K., Singh V.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 1
71-82
EN
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.
6
Content available remote The instability of streaming viscous-viscoelastic fluids in a porous medium
Kumar P., Singh G. J.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 1
191-201
EN
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.
7
Content available remote Stability of incompressible Rivlin-Ericksen elastico-viscous superposed fluid in porous medium
Rana G. C., Sharma V., Kango S. K.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 2
471-480
EN
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.
8
Content available remote Thermosolutal instability of compressible Rivlin-Ericksen fluid with Hall currents
Sunil, Sharma Y. D., Bharti P. K., Sharma R. C.
International Journal of Applied Mechanics and Engineering
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2005
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Vol. 10, no 2
329-343
EN
The thermosolutal instability of a compressible Rivlin-Ericksen viscoelastic fluid is predicted for a layer heated and soluted from below in the presence of the vertical magnetic field to include the effect of Hall currents. For the case of stationary convection, the Rivlin-Ericksen elastico-viscous fluid behaves like a Newtonian viscous fluid. The Hall currents found to hasten the onset of thermosolutal instability whereas the compressibility, stable solute gradient and magnetic field postpone the onset of thermosolutal instability. Also, the dispersion relation is analyzed numerically and results are depicted graphically. The stable solute gradient and magnetic field (and corresponding Hall currents) introduce oscillatory modes in the system, which were nonexistent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.
9
Content available remote Flow of a viscoelastic fluid of Rivlin-Ericksen between rotating surfaces of revolution
Walicka A.
International Journal of Applied Mechanics and Engineering
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2003
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Vol. 8, no spec.
179-186
EN
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.
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