Penetrative convection in a bi‐disperse porous medium

نویسندگان

چکیده

The present paper investigates penetrative convection in a bi-disperse porous medium. In particular, is modeled via quadratic dependence on the temperature for fluid density. For problem under examination, can occur only through secondary stationary motion since validity of principle exchange stabilities proved. Via linear instability analysis conduction solution, critical Rayleigh number onset determined. Moreover, nonlinear stability investigated weighted energy method. order to analyze behavior and thresholds, numerical simulations are performed Chebyshev- τ $$ \tau method, proving stabilizing effect upper boundary layer convective motion.

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ژورنال

عنوان ژورنال: Mathematical Methods in The Applied Sciences

سال: 2023

ISSN: ['1099-1476', '0170-4214']

DOI: https://doi.org/10.1002/mma.9274