Linear stability analysis and nonlinear simulations of convective dissolution in an inclined porous layer between impermeable surfaces.

Convective dissolution can occur in porous media when a given solute dissolves in a host layer from above and increases the density of the host solution. Buoyancy-driven fingering can then develop, which increases the transfer flux of the solute. We investigate here numerically the properties of this convective dissolution when the porous host layer is inclined by an angle θ relative to the horizontal direction. We consider an incompressible flow in porous media governed by Darcy's law, driven by density gradients associated with the concentration of the dissolving solute. The model problem focuses on the case of a very long (infinite) tilted porous layer limited by two parallel impermeable surfaces. A linear stability analysis and nonlinear simulations are performed using the Boussinesq approximation. A vorticity-stream function formulation is adopted to solve the two-dimensional hydrodynamic field through the finite element method. We find that the inclination of the interface decreases the growth rate of the instability and the range of unstable wavenumbers, delaying or even suppressing the onset of the fingering instability. Moreover, it introduces a drift velocity on the perturbations, which is characterized here in both the linear stability analysis and the nonlinear simulations.

Participation of CWI, HOG and Calcineurin pathways in the tolerance of Saccharomyces cerevisiae to low pH by inorganic acid.

AIMS: The present work aimed at identifying the metabolic response to acid stress and the mechanisms that lead to cell tolerance and adaptation. METHODS AND RESULTS: Two strategies were used: screening deletion mutants for cell growth at neutral and acid pH compared to wild type and measurement by qPCR of the expression of yeast genes involved in different pathways. CONCLUSIONS: The results complement our previous findings and showed that the Cell Wall Integrity pathway is the main mechanism for cell tolerance to acid pH, and this damage triggers the protein kinase C (PKC) pathway mainly via the Wsc1p membrane sensor. In addition, cell wall injury might mimic the effects of high osmotic shock and activates the High Osmolarity Glycerol pathway, which amplifies the signal in the upper part of PKC pathway and leads to the activation of Ca(2+) channels by SLT2 overexpression and this Ca(2+) influx further activates calcineurin. Together, these mechanisms induce the expression of genes involved in cell cycle regulation and cell wall regeneration. SIGNIFICANCE AND IMPACT OF THE STUDY: These interactions are responsible for long-term adaptation of yeast cells to the acidic environment, and the results could drive future work on the genetic modification of yeast strains for high tolerance to the stresses of the bioethanol fermentation process.