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Journal of Porous Media
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ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v17.i2.70
pages 169-176

NUMERICAL INVESTIGATIONS OF STABILITY OF STRATIFIED VISCOELASTIC WALTERS' (MODEL B') FLUID/PLASMA IN THE PRESENCE OF QUANTUM PHYSICS SATURATING A POROUS MEDIUM

Veena Sharma
Department of Mathematics & Statistics, Himachal Pradesh University Shimla-171 005, India
Radhe Shyam
Department of Mathematics & Statistics, Himachal Pradesh University Shimla-171 005, India
Sudrshna Sharma
Department of Mathematics & Statistics, Himachal Pradesh University Shimla-171 005, India

ABSTRAKT

Quantum effects on the Rayleigh−Taylor instability in an inhomogeneous stratified incompressible, viscoelastic Walters' (model B') fluid/plasma through a porous medium are investigated. The linear growth rate is derived for the case where a plasma with exponential density, viscosity, viscoelasticity, and quantum parameter distribution is confined between two rigid planes at z = 0, z = h. The solution of the linearized equations of the system together with the boundary conditions leads to derive the dispersion relation (the relation between the normalized growth rate and square normalized behavior wave number) using the normal mode technique to explain the roles that the variables of the problem play. The behavior of growth rates with respect to the quantum effect and kinematic viscoelasticity are examined in the presence of porous medium, the medium permeability, and kinematic viscosity. The results show that the quantum effects bring about more stability for a certain wave number band on the growth rate of unstable configuration.


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