Abstract In this article, we develop a reduced basis method for efficiently solving the coupled Stokes/Darcy equations with parametric internal geometry. To accommodate possible changes in topology, define Stokes and Darcy domains implicitly via phase-field indicator function. our order model, approximate parameter-dependent function discrete empirical interpolation (DEIM) that enables affine d...

Incompressible, axisymmetric laminar flow downstream of a porous expansion is simulated. Effect of the Darcy number and inertia coefficient on flow and heat transfer characteristics downstream of the expansion is investigated. The simulation revealed circulation downstream of the expansion. Decreasing the Darcy number is shown to decrease the circulation region. The Nusselt number, friction coe...

We study the asymptotic behavior of the infinite Darcy-Prandtl number DarcyBrinkman-Boussinesq system for convection in porous media at small Brinkman-Darcy number. The existence of a boundary layer with thickness proportional to the square root of the BrinkmanDarcy number for the velocity field is established in both the L∞(H1) norm (2 and 3 d) and the L∞(L∞) norm (2d only). This improves an e...

[1] This paper presents an approximate analytical solution for non-Darcy flow of a slightly compressible fluid through a fractured reservoir. The analytical solution is obtained using the traditional Warren-Root solution superposed on a dimensionless non-Darcy flow coefficient. The model formulation incorporates the Forchheimer equation into the Warren-Root model for describing non-Darcy flow t...

Abstract The structural stability for the Forchheimer fluid interfacing with a Darcy in bounded region $\mathbb{R}^{3}$ R 3 was studied. We assumed that nonlinear governed by equations $\Omega _{1}$ Ω 1 , while _{...

An analytical solution for moisture dynamic during freeze-drying based in non-ideal Darcy’s law that resolves the singularity at zero time was deducted. The is represented by a pseudo permeability (K∗) and deviation index (n). must be complemented with numerical of Fourier’s equations heat transfer two product zones. model fitted to experimental dynamics an orange juice-based cake. obtained K∗=...

Vibrational mixed convection inside an open-ended cavity filled with a porous medium is investigated in this work. Vertical vibration on the left wall and buoyancy induced flow are considered. The effect of variations in governing parameters, such as vibrational Reynolds number, modified Rayleigh number, and the Darcy number on streamlines, isotherms, and the average Nusselt number is discussed...

There has been a surge of work on models for coupling surface-water with groundwater flows which is at its core the Stokes-Darcy problem, as well as methods for uncoupling the problem into subdomain, subphysics solves. The resulting (Stokes-Darcy) fluid velocity is important because the flow transports contaminants. The numerical analysis and algorithm development for the evolutionary transport...

The Pisacano Leadership Foundation, the philanthropic arm of the American Board of Family Medicine, recently selected its 2014 Pisacano Scholars. These 7 medical students follow in the footsteps of 95 scholar alumni who are practicing physicians and 16 current scholars who are enrolled in medical schools or family medicine residency programs across the country. The Pisacano Leadership Foundatio...