Onset of oscillatory convection in a porous cylinder saturated with a viscoelastic fluid

2007 ◽  
Vol 19 (9) ◽  
pp. 098104 ◽  
Author(s):  
Zhiyong Zhang ◽  
Ceji Fu ◽  
Wenchang Tan ◽  
C. Y. Wang
Keyword(s):  
Viscoelastic Fluid ◽  
Oscillatory Convection ◽  
Porous Cylinder

Convection in a viscoelastic fluid-saturated sparsely packed porous layer

1990 ◽  
Vol 68 (12) ◽  
pp. 1446-1453 ◽  
Author(s):  
N. Rudraiah ◽  
P. V. Radhadevi ◽  
P. N. Kaloni
Keyword(s):  
Rayleigh Number ◽  
Porous Layer ◽  
Viscoelastic Fluid ◽  
Critical Rayleigh Number ◽  
Maxwell Fluid ◽  
Wave Number ◽  
Jeffrey Fluid ◽  
Oscillatory Convection ◽  
Viscoelastic Parameters ◽  
Jeffreys Model

The linear stability of a viscoelastic fluid-saturated sparsely packed porous layer heated from below is studied analytically using the Darcy–Brinkman–Jeffreys model with different boundary combinations. The Galerkin technique is employed to determine the criterion for the onset of oscillatory convection. The effects of the viscoelastic parameters, the Prandtl number, and the porous parameter on the critical Rayleigh number, the wave number, and the frequency are analyzed. The results are compared with those obtained for both a Darcy–Jeffrey fluid and a Maxwell fluid. It is shown that under certain conditions for the viscoelastic parameters, the flow is overstable. The possibility of the occurrence of bifurcation is also discussed.

Oscillatory convection in a viscoelastic fluid through a porous layer heated from below

1989 ◽  
Vol 28 (1) ◽  
pp. 48-53 ◽  
Author(s):  
N. Rudraiah ◽  
P. N. Kaloni ◽  
P. V. Radhadevi
Keyword(s):  
Porous Layer ◽  
Viscoelastic Fluid ◽  
Oscillatory Convection

scholarly journals Oscillatory Convection in a Viscoelastic Fluid Layer in Hydromagnetics

1972 ◽  
Vol 25 (6) ◽  
pp. 695 ◽  
Author(s):  
PK Bhatia ◽  
JM Steiner
Keyword(s):  
Magnetic Field ◽  
Variational Principle ◽  
Viscoelastic Fluid ◽  
Fluid Layer ◽  
Horizontal Layer ◽  
Oscillatory Convection ◽  
Thermally Induced ◽  
Stabilizing Effect ◽  
The Magnetic Field ◽  
Proper Solutions

A study is made of the overstable mode of convection in an infinite horizontal layer of a viscoelastic fluid, heated from below, in the presence of a magnetic field. It is shown first that the problem is characterized by a variational principle. Proper solutions are then obtained for the case of two rigid boundaries using the variational method. It is found that the magnetic field has a stabilizing effect on the thermally induced overstability in a viscoelastic fluid, as in the case of an ordinary viscous fluid. The thermodynamic significance of the variational principle is also considered.

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