MHD instability of rotating superposed fluids through porous medium

1977 ◽  
Vol 42 (1) ◽  
pp. 21-28 ◽  
Author(s):  
R. C. Sharma
Keyword(s):  
Porous Medium ◽  
Mhd Instability ◽  
Superposed Fluids

scholarly journals Instability of two rotating viscoelastic (Walters B') superposed fluids with suspended particles in porous medium

2007 ◽  
Vol 11 (1) ◽  
pp. 93-102 ◽  
Author(s):  
Pardeep Kumar ◽  
Mahinder Singh
Keyword(s):  
Porous Medium ◽  
Perturbation Theory ◽  
Normal Mode ◽  
Normal Mode Analysis ◽  
Suspended Particles ◽  
Mode Analysis ◽  
Stable Configuration ◽  
Uniform Rotation ◽  
Unstable Configuration ◽  
Superposed Fluids

The instability of the plane interface between two Walters B' viscoelastic superposed fluids permeated with suspended particles and uniform rotation in porous medium is considered following the linearized perturbation theory and normal mode analysis. For the stable configuration the system is found to be stable or unstable if ?' < or > k1/?, depending on kinematic viscoelasticity, permeability of the medium and porosity of the medium. However, the system is found to be unstable for the potentially unstable configuration. .

MHD Instability of Rotating Superposed Walters B' Viscoelastic Fluids through a Porous Medium

2006 ◽  
Vol 9 (5) ◽  
pp. 463-468
Author(s):  
Pardeep Kumar ◽  
Roshan Lal ◽  
Gursharn Jit Singh
Keyword(s):  
Porous Medium ◽  
Viscoelastic Fluids ◽  
Mhd Instability

Modelling Of Transport And Capture Of Particles In A Porous Medium

2019 ◽  
pp. 56-60
Keyword(s):  
Porous Medium ◽  
Asymptotic Solution ◽  
Retention Mechanism ◽  
Inverse Filtering ◽  
Underground Structures ◽  
Loose Soil ◽  
Monodisperse Suspension ◽  
Homogeneous Porous Medium ◽  
Model Equations ◽  
Pass Through

The study of the transport and capture of particles moving in a fluid flow in a porous medium is an important problem of underground hydromechanics, which occurs when strengthening loose soil and creating watertight partitions for building tunnels and underground structures. A one-dimensional mathematical model of long-term deep filtration of a monodisperse suspension in a homogeneous porous medium with a dimensional particle retention mechanism is considered. It is assumed that the particles freely pass through large pores and get stuck at the inlet of small pores whose diameter is smaller than the particle size. The model takes into account the change in the permeability of the porous medium and the permissible flow through the pores with increasing concentration of retained particles. A new spatial variable obtained by a special coordinate transformation in model equations is small at any time at each point of the porous medium. A global asymptotic solution of the model equations is constructed by the method of series expansion in a small parameter. The asymptotics found is everywhere close to a numerical solution. Global asymptotic solution can be used to solve the inverse filtering problem and when planning laboratory experiments.

Sign in / Sign up

Export Citation Format

Share Document