The present study investigates the onset of penetrative convection in- duced by selective absorption of radiation in a magnetic nanofluid saturated porous medium. The influence of Brownian motion, thermophoresis, and magnetophoresis on magnetic nanofluid treatment is taken into consideration. The Darcy’s model is selected for the porous medium. We conduct a linear stability analysis to examine the onset of instability and evaluate the results for two different configurations, namely, when the layer is heated from below and when the layer is heated from above. The numerical investigations are carried out by applying the Chebyshev pseudospectral method. The effect of the porosity parameter E, parameter Y (represents the ratio of internal heating to boundary heating), Lewis number Le, concentration Rayleigh number Rn, Langevin parameter αL, width of nanofluid layer d, diffusivity ratio η, and modified diffusivity ratio NA is examined at the onset of convection. The results indicate that the convection commences easily with an increase in the value of Y, Le, and NA but opposite in the case with a decrease in the value of E, αL, η and d for both the two configurations. The parameter Rn advances the onset of convection when the layer is heated from below, while delays the onset of convection when the layer is heated from above.
An investigation made on the effect of Hall currents on double-diffusive convection of a compressible synovial (couple-stress) fluid in the presence of a horizontal magnetic field through a porous layer is considered. The analysis is carried out within the framework of linear stability theory and normal mode technique. A dispersion relation governing the effects of viscoelasticity, compressibility, magnetic field and porous layer is derived. For the stationary convection, a synovial fluid behaves like an ordinary Newtonian fluid due to the vanishing of the viscoelastic parameter. The stable-solute gradient, compressibility, and magnetic field have postponed the onset of convection, whereas Hall currents and medium permeability have not postponed the onset of convection, moreover, a synovial fluid has a dual character in the presence of Hall currents, whereas in the absence of Hall current in synovial fluid have postponed the onset of convection, which is in contrast in case of thermal convection couple-stress fluid with same effects. These analytic results are confirmed numerically and the effects of various parameters are depicted graphically. It has been observed that oscillatory modes are introduced due to the presence of viscoelasticity, magnetic field, porous medium and Hall currents which were non- existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.
Magdalena Kulus, Blanka Borowiec, Małgorzata Popis, Piotr Celichowski, Michal Jeseta, Dorota Bukowska, Hanna Piotrowska-Kempisty, Małgorzata Bruska, Maciej Zabel, Michał Nowicki, Bartosz Kempisty and Paweł Antosik
Row Z-Score scale (from -2, the lowest expression to +2, the highest expression for single gene)
Gene symbols, fold changes in expression, corrected p values and Entrez gene IDs of studied genes
FOLD CHANGE D7/D1
FOLD CHANGE D15/D1
FOLD CHANGE D30/D1
ADJUSTED P VALUE D7/D1
ADJUSTED P VALUE D15/D1
ADJUSTED P VALUE D30/D1
Magdalena Kulus, Jakub Kulus, Małgorzata Popis, Blanka Borowiec, Katarzyna Stefańska, Piotr Celichowski, Mariusz J. Nawrocki, Klaus P. Brüssow, Bartosz Kempisty, Michal Jeseta, Paweł Antosik and Dorota Bukowska