Stability Analysis of Navier-Stokes-Voigt Fluids in Porous Media with Slippery Effect

Area of Science:

• Fluid Dynamics
• Non-Newtonian Fluid Mechanics
• Porous Media Flow

Background:

• Investigates linear stability of Navier-Stokes-Voigt (NSV) fluid flow.
• Addresses realistic engineering surfaces with non-uniform slip distributions, unlike idealized models.
• Studies flow in a channel filled with a homogeneous porous medium.

Purpose of the Study:

• Quantify the sensitivity of critical Reynolds number to symmetry breaking in slip boundary conditions.
• Bridge the gap between theoretical models and practical applications in superhydrophobic channels.
• Clarify the physical origin of instability through energy analysis.

Main Methods:

• Solved the generalized eigenvalue problem.
• Employed the Chebyshev spectral collocation method.
• Utilized energy analysis to understand instability mechanisms.

Main Results:

• Symmetric slip provides optimal flow stability.
• Symmetry breaking in slip conditions significantly destabilizes the flow.
• Increasing porous medium permeability or Voigt regularization parameter counteracts instability.

Conclusions:

• Flow stability can be restored even with asymmetric slip by enhancing porous damping or viscoelastic regularization.
• Manufacturing defects leading to asymmetric slip can be compensated by optimizing the porous medium.
• The study provides insights into stabilizing fluid flow in realistic engineering scenarios.