TY  - JOUR
U1  - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed)
A1  - Avramenko, Andriy Alexandr
A1  - Shevchuk, Igor V
A1  - Tyrinov, Andrii I.
T1  - Convective Instability in Slip Flow in a Vertical Circular Porous Microchannel
JF  - Transport in Porous Media
N2  - Abstract
        The paper represents an analysis of convective instability in a vertical cylindrical porous microchannel performed using the Galerkin method. The dependence of the critical Rayleigh number on the Darcy, Knudsen, and Prandtl numbers, as well as on the ratio of the thermal conductivities of the fluid and the wall, was obtained. It was shown that a decrease in permeability of the porous medium (in other words, increase in its porosity) causes an increase in flow stability. This effect is substantially nonlinear. Under the condition Da > 0.1, the effect of the porosity on the critical Rayleigh number practically vanishes. Strengthening of the slippage effects leads to an increase in the instability of the entire system. The slippage effect on the critical Rayleigh number is nonlinear. The level of nonlinearity depends on the Prandtl number. With an increase in the Prandtl number, the effect of slippage on the onset of convection weakens. With an increase in the ratio of the thermal conductivities of the fluid and the wall, the influence of the Prandtl number decreases. At high values of the Prandtl numbers (Pr > 10), its influence practically vanishes.
KW  - Hydrogeologie
KW  - Geotechnical Engineering & Applied Earth Sciences
KW  - Industrial Chemistry/Chemical Engineering
KW  - Hydrology/Water Resources
KW  - Civil Engineering
KW  - Hydrogeology
KW  - Classical and Continuum Physics
Y1  - 2021
UN  - https://nbn-resolving.org/urn:nbn:de:hbz:832-epub4-21249
SN  - 0169-3913
SS  - 0169-3913
SN  - 1573-1634
SS  - 1573-1634
U6  - https://doi.org/10.1007/s11242-021-01639-6
DO  - https://doi.org/10.1007/s11242-021-01639-6
VL  - 138
IS  - 3
SP  - 661
EP  - 678
S1  - 18
PB  - Springer Netherlands
ER  -