Horizontal wells or radial collector wells are used in shallow aquifers to enhance water withdrawal rates. Groundwater flow patterns near these wells are three-dimensional (3D), but difficult to represent in a 3D numerical model because of the high degree of grid refinement needed. However, for the purpose of designing water withdrawal systems, it is sufficient to obtain the correct production ...

A = Jacobian matrix a = speed of sound, m∕s C = source term vector E = total energy, J∕kg e = internal energy vector, J∕kg F = inviscid flux tensor Fd = diffusive flux tensor Fo = Forchheimer number G = flux tensor, F − Fd − uU h = enthalpy, J∕kg h = species enthalpy vector, J∕kg hr = recovery enthalpy, J∕kg I = identity matrix J = directional species diffusion flux tensor, kg∕m K = permeabilit...

Abstract Fault water inrush accident in coal mine construction is a serious hydrogeological disaster, which seriously endangers the safe operation of underground engineering. In process mining resources Western China, large number accidents have occurred. Based on investigation geological conditions fault Pingdingshan mine, coupling model Darcy laminar flow and Brinkman used to analyze mechanis...

The present study investigates the effect of mass transpiration on heat absorption/generation, thermal radiation and chemical reaction in magnetohydrodynamics (MHD) Darcy–Forchheimer flow a Newtonian fluid at thermosolutal Marangoni boundary over porous medium. region consists H2O as base fractions TiO2–Ag nanoparticles. mathematical approach given here employs similarity transformation, order ...

Natural convection in an annular space provided with metal foam fins attached to the inner cylinder is studied numerically. The made of copper were inserted different axial sections three each section. temperature kept constant while outer surface adiabatic. thickness effect pipe wall was considered. Naiver Stokes equation Boussinesq approximation used for fluid regime Brinkman-Forchheimer Darc...

In this article, the effects of viscous dissipation and inertial force on the velocity and temperature distributions of the mixed convection laminar flow in a vertical channel partly filled with a saturated porous medium have been studied. In this regard, the Brinkman–Forchheimer extended Darcy model was adopted for the fluid flow in the porous region. In addition, three different viscous dissi...

Abstract A seepage testing system was designed and a series of experiments on broken rock conducted using different original porosity conditions clay contents. The mass-loss process the change in water flow velocity were investigated. After test, non-Darcy characteristics tested through step-by-step pressure-reduced test. experimental results show that evolution during inrush could be divided i...

For linear problems, domain decomposition methods can be used directly as iterative solvers, but also as preconditioners for Krylov methods. In practice, Krylov acceleration is almost always used, since the Krylov method finds a much better residual polynomial than the stationary iteration, and thus converges much faster. We show in this paper that also for non-linear problems, domain decomposi...

There are many situations in computational fluid dynamics which require the definition of source terms in the Navier-Stokes equations. These source terms not only allow to model the physics of interest but also have a strong impact on the reliability, stability, and convergence of the numerics involved. Therefore, sophisticated numerical approaches exist for the description of such source terms...

In the current article, MHD flow problem of Darcy-Forchheimer nanoliquid comprising motile microorganisms with viscous dissipation impact past a nonlinear elongated sheet is addressed. The inclusion gyrotactic in assists to boost up thermal efficiency numerous micro-biological systems. Iterative solution single-phase attained by utilizing procedure SOR (Successive over Relaxation). influences l...