100 research outputs found
Existence and uniqueness of slightly compressible Boussinesq's flow in Darcy-B\'enard problem
In the present paper, we study the existence, uniqueness and behaviour in
time of the solutions to the Darcy-B\'enard problem for an
extended-quasi-thermal-incompressible fluid-saturated porous medium uniformly
heated from below. Unlike the classical problem, where the compressibility
factor of the fluid vanishes, in this paper we allow the fluid to be slightly
compressible and we address the well-posedness analysis for the full nonlinear
initial boundary value problem for the perturbed system of governing equations
modelling the convection in porous media phenomenon
Effect of Vadasz term on the onset of convection in a Darcy-Brinkman anisotropic rotating porous medium in LTNE
In the present paper, the effect of the Vadasz inertia term on the onset of
convective motions for a Darcy-Brinkman model is investigated. It is proved
that this term leads to the possibility for oscillatory convection to occur.
Hence, convection can occur via either oscillatory or steady motions. It is
proved analytically that the onset of steady convection is not affected by the
Vadasz term, while oscillatory convection is favoured by it. Moreover,
conditions to rule out the occurrence of oscillatory convection are determined
numerically. The influence of rotation, interaction coefficient and mechanical
and thermal anisotropies on the onset of instability is investigated, both
analytically and numerically
Effect of anisotropy on the onset of convection in rotating bi-disperse Brinkman porous media
AbstractThermal convection in a horizontally isotropic bi-disperse porous medium (BDPM) uniformly heated from below is analysed. The combined effects of uniform vertical rotation and Brinkman law on the stability of the steady state of the momentum equations in a BDPM are investigated. Linear and nonlinear stability analysis of the conduction solution is performed, and the coincidence between linear instability and nonlinear stability thresholds in theL2-norm is obtained
A Darcy-Brinkman Model for Penetrative Convection in LTNE
The aim of this paper is to investigate the onset of penetrative convection
in a Darcy-Brinkmann porous medium under the hypothesis of local therma
non-equilibrium. For the problem at stake, the strong form of the principle of
exchange of stabilities has been proved, i.e. convective motions can occur only
through a secondary stationary motion. We perform linear and nonlinear
stability analyses of the basic state motion, with particular regard to the
behaviour of the stability thresholds with respect to the relevant physical
parameters characterizing the model. The Chebyshev- method and the
shooting method are employed and implemented to solve the differential
eigenvalue problems arising from linear and nonlinear analyses to determine
critical Rayleigh numbers. Numerical simulations prove the stabilising effect
of upper bounding plane temperature, Darcy's number and the interaction
coefficient characterising the local thermal non-equilibrium regime
The onset of penetrative convection in an inclined porous layer
In the present article, a model for penetrative convection in a fluid-saturated inclined porous medium is analyzed. Penetrative convection occurs when an unstably stratified fluid moves into a stably stratified region. In this study, it will be shown that the inclination of the layer plays a relevant role for the penetrative thermal convection of a fluid-saturated porous medium. The results reported in the literature for the limiting case of horizontal layer are recovered and the numerical results for the linear instability, obtained via the Chebyshev-Ď„ method, show that the most destabilizing perturbations are the longitudinal and, as expected, the transverse ones destabilize only up to a certain critical inclination angle of the layer. Moreover, in the numerical analysis of the three-dimensional perturbations, we show that the longitudinal perturbations are the most destabilizing not only with respect to the transverse but also with respect to any general perturbation. We also give nonlinear stability results for the longitudinal perturbations via the weighted energy method.</p
Analysis of a model for waterborne diseases with Allee effect on bacteria
A limitation of current modeling studies in waterborne diseases (one of the leading causes of death worldwide) is that the intrinsic dynamics of the pathogens is poorly addressed, leading to incomplete, and often, inadequate understanding of the pathogen evolution and its impact on disease transmission and spread. To overcome these limitations, in this paper, we consider an ODEs model with bacterial growth inducing Allee effect. We adopt an adequate functional response to significantly express the shape of indirect transmission. The existence and stability of biologically meaningful equilibria is investigated through a detailed discussion of both backward and Hopf bifurcations. The sensitivity analysis of the basic reproduction number is performed. Numerical simulations confirming the obtained results in two different scenarios are shown
Corrigendum: oscillatory activities in neurological disorders of elderly: biomarkers to target for neuromodulation
No abstract availble
Convezione naturale con gradiente orizzontale di temperatura
Analisi dell'influenza di gradienti orizzontali di temperatura sull'insorgere della convezione naturale nei fluidi chiar
Diffusion driven stability and Turing effect for predator-prey model with Beddington - De Angelis functional response
The effect of diffusivities on the coexistence problem for predator-prey model, with Beddington-DeAngelis functional responce, is studied and the coincidence between linear and nonlinear stability threshold is obtained
Rionero's critical perturbations method via weighted energy for global stability of penetrative convection in porous media
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