Interface Approximation of Darcy Flow in a Narrow Channel
نویسنده
چکیده
Here u(x, t) is the fluid flux, p(x, t) the pressure, and g(x) is the gravity force, the storeage rate term c(x) is (slight) compressibility and porosity of the fluid and porous medium with sources F (x, t). The density factor has been dropped from each term of (1.1b). The flow resistance a(x) is fluid viscosity times the inverse of permeability of the porous medium. The system (1.1) is supplemented with appropriate boundary and initial conditions to make the initial-boundary-value problem [3]. The backward-difference approximation for ∂p ∂t leads to a corresponding
منابع مشابه
Numerical Simulation of Micropolar Flow in a Channel under Osciatory Pressure Gradient
We numerically investigate the pulsatile flow and heat transfer of a micropolar fluid through a Darcy-Forchhmeir porous channel in the presence of wall transpiration. We use the central difference approximations for the spatial derivatives, whereas the time integration has been performed by employing the three steps explicit Runge-Kutta method to obtain the numerical solution. It i...
متن کاملThe narrow fracture approximation by channeled flow
a r t i c l e i n f o a b s t r a c t The singular problem of non-stationary Darcy flow in a region containing a narrow channel of width O() and high permeability O (1) is shown to be well approximated by a problem with flow concentrated on a weighted Sobolev space over a lower-dimensional interface. The convergence of the solution as → 0 is proved for both the stationary case and the correspon...
متن کاملResistance to Flow in a V-Shaped Bottom Channel
Water flow in open channels is always subject to the resistance to flow and energy dissipation. For design purposes, one of the needed variables is the hydraulic resistance coefficient. For this mean, the influence of cross-sectional shape together with secondary flow cells and lateral distribution of true boundary shear stress have not yet been fully explored. This paper surveys the number of ...
متن کاملShape Effects and Definition of Hydraulic Radius in Manning 's Equation in Open Channel Flow
In the Manning equation the hydraulic radius can be defined as the cross-section dimension of the shape. In pipe flow the bed shear stress is assumed to be uniformly distributed along the wetted perimeter which cannot be true in open channel flow. Hence, three approximation of the true boundary shear-stress distribution are examined and more practical conveyance depth or resistance radius formu...
متن کاملAnalysis of Magneto-hydrodynamics Jeffery-Hamel Flow with Nanoparticles by Hermite-Padé Approximation
The combined effects of nanoparticle and magnetic field on the nonlinear Jeffery-Hamel flow are analyzed in the present study. The basic governing equations are solved analytically to nonlinear ordinary differential equation using perturbation method together with a semi-numerical analytical technique called Hermite- Padé approximation. The obtained results are well agreed with that of the Adom...
متن کامل