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121.
Here Darcy–Forchheimer 3D stretching flow of nanoliquid in the presence of convective condition and homogeneous–heterogeneous reactions is analyzed. Impacts of thermophoresis, Brownian diffusion and zero nanoparticles mass flux condition are considered. Adequate transformation procedure give rise to system in terms of ordinary differential equations. The governing mathematical system has been tackled by optimal homotopic technique. Graphical results have been presented for temperature and concentration dsitributions. Numerical benchmark is provided to study the values of skin friction coefficients and local Nusselt number. Skin friction coefficients are declared increasing functions of porosity and Forchheimer parameters. Furthermore the local Nusselt number is reduced for larger values of porosity and Forchheimer parameters. 相似文献
122.
Rui Li Jian Li Xin Liu Zhangxin Chen 《Numerical Methods for Partial Differential Equations》2017,33(4):1352-1373
In this article, we introduce and analyze a weak Galerkin finite element method for numerically solving the coupling of fluid flow with porous media flow. Flows are governed by the Stokes equations in primal velocity‐pressure formulation and Darcy equation in the second order primary formulation, respectively, and the corresponding transmission conditions are given by mass conservation, balance of normal forces, and the Beavers‐Joseph‐Saffman law. By using the weak Galerkin approach, we consider the two‐dimensional problem with the piecewise constant elements for approximations of the velocity, pressure, and hydraulic head. Stability and optimal error estimates are obtained. Finally, we provide several numerical results illustrating the good performance of the proposed scheme and confirming the optimal order of convergence provided by the weak Galerkin approximation. © 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1352–1373, 2017 相似文献
123.
A new nonconforming finite element with a conforming finite element approximation for a coupled continuum pipe‐flow/Darcy model in Karst aquifers 下载免费PDF全文
Numerical method is considered for a coupled continuum pipe‐flow/Darcy model describing flow in porous media with an embedded conduit pipe. A new nonconforming element is constructed to solve the Darcy equation on porous matrix. The existence and uniqueness of the approximation solution are deduced. Optimal error estimates are obtained in and norms. Some numerical examples show the accuracy and efficiency of the presented method. With the same number of nodal‐points and the same amount of computation, the results using the new nonconforming element are much better than those by both conforming element and Wilson nonconforming element on the same mesh. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 778–798, 2016 相似文献
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125.
Large heat load are encountered in hypersonic and space flight applications due to the high vehicle speed (over Mach 5, i.e. 5000 km h−1) and to the combustion heat release. If passive and ablative protections are a way to ensure the thermal management, the active cooling is probably the most efficient way to enable the structures withstanding of such large heat load. In some conditions, transpiration cooling will be used. In this paper, the permeation of fuels and other fluids through porous media is studied up to 1150 K and 60 bars. A dedicated experimental bench has been established to ensure the monitoring of temperature, pressure, mass flow rate and chemical composition (Gas Chromatograph, Mass Spectrometer, Infra Red spectrometer) in stationary and transient conditions. The tests on metallic and composite samples have been conducted with N2, CH4, H2 + CH4 mixtures and synthetic fuels (n-C12H26). The pressure losses comparison with the mass flow rate has enabled the determination depending on the temperature of the Darcian permeability, KD the linear contribution, and of the Forchheimer’s term, KF the quadratic one. The fuel pyrolysis in such low Reynolds flow has been investigated. The blockage effect due to coking activity has been estimated. 相似文献
126.
We study the interaction of initial layer and boundary layer in the nonlinear Darcy–Brinkman system in the vanishing Darcy number limit. In particular, we show the existence of a function of corner layer type (so-called initial–boundary layer) in the solution of the nonlinear Darcy–Brinkman system. An approximate solution is constructed by the method of multiple scale expansion in space and in time. We establish the optimal convergence rates in various Sobolev norms via energy method. 相似文献
127.
M. Parvazinia V. Nassehi R. J. Wakeman M. H. R. Ghoreishy 《Transport in Porous Media》2006,63(1):71-90
Despite the widespread use of the Darcy equation to model porous flow, it is well known that this equation is inconsistent
with commonly prescribed no slip conditions at flow domain walls or interfaces between different sections. Therefore, in cases
where the wall effects on the flow regime are expected to be significant, the Darcy equation which is only consistent with
perfect slip at solid boundaries, cannot predict velocity and pressure profiles properly and alternative models such as the
Brinkman equation need to be considered. This paper is devoted to the study of the flow of a Newtonian fluid in a porous medium
between two impermeable parallel walls at different Darcy parameters (Da). The flow regime is considered to be isothermal and steady. Three different flow regimes can be considered using the Brinkman
equation: free flow (Da > 1), porous flow (high permeability, 1 > Da > 10−6) and porous flow (low permeability Da < 10−6). In the present work the described bench mark problem is used to study the effects of solid walls for a range of low to
high Darcy parameters. Both no-slip and slip conditions are considered and the results of these two cases are compared. The
range of the applicability of the Brinkman equation and simulated results for different cases are shown. 相似文献
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129.