Results 61 to 70 of about 35,041 (167)

Thermal Lattice Boltzmann Model for Incompressible Flows through Porous Media

Journal of Thermal Science and Technology, 2006
In this paper, the lattice Boltzmann method (LBM) is applied to simulation of natural convection in porous media using Brinkman-Forchheimer equation.
Takeshi SETA, Eishun TAKEGOSHI, Kazuyuki KITANO, Kenichi OKUI   +3 more
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Porous Medium Equation in Graphene Oxide Membrane: Nonlinear Dependence of Permeability on Pressure Gradient Explained. [PDF]

Membranes (Basel), 2021
Mrazík L, Kříž P.
europepmc   +1 more source

SEQUENTIAL ABSORPTION OF MICRODROPS BY DOUBLE-LAYER POROUS MEDIA [PDF]

Journal of Engineering Science and Technology, 2008
The subject of this paper is the absorption of microdrops by multilayer porous media. The consideration is based on numerical simulation of sequential absorption of two droplets at its arbitrary location on the surface of single- and double-layer porous ...
YU. D. VARLAMOV, YU. P. MESHCHERYAKOV, M. R. PREDTECHENSKY   +2 more
doaj  

Asymptotic behaviour of solutions for porous medium equation with periodic absorption

International Journal of Mathematics and Mathematical Sciences, 2001
This paper is concerned with porous medium equation with periodic absorption. We are interested in the discussion of asymptotic behaviour of solutions of the first boundary value problem for the equation.
Yin Jingxue, Wang Yifu
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Some comments on the Resistance Experienced by a Porous Sphere Moving in a Viscous Incompressible Fluid at Low Reynolds Numbers

Engineering Transactions, 1980
The formulae for viscous drag force experienced by a porous sphere falling in a viscous fluid at low Reynolds numbers which have been given by several authors are compared with one another and with the Stokes formula.
J.A. Kołodziej
doaj  

Critical exponent for the asymptotic behavior of rescaled solutions to the porous medium equation

Electronic Journal of Differential Equations, 2017
In this article, we find that $\mu_c\equiv 2N/(N(m-1)+2)$ is the critical exponent for the asymptotic behavior of rescaled solutions $t^{\mu/2}u(t^\beta x,t)$ for the porous medium equation.
Liangwei Wang, Jingxue Yin
doaj  

Investigation of Doubly Nonlinear Parabolic Equation

Proceedings of the International Conference on Applied Innovations in IT
We study the properties of solutions for a porous medium equation (PME) in non-divergent form with a source term. The PME is a fundamental model in various physical and biological processes, including fluid flow through porous media, heat transfer, and ...
Makhmud Bobokandov, Nodir Uralov, Shokhsanam Shukurova, Zilola Sultonova   +3 more
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Modeling 2D gravity-driven flow in unsaturated porous media for different infiltration rates [PDF]

Hydrology and Earth System Sciences
The gravity-driven flow in an unsaturated porous medium remains one of the most important unsolved problems in multiphase flow. Sometimes a diffusion-like flow with a uniform wetting front, known as stable flow, is observed, but, at other times, the flow
J. Kmec, J. Kmec, M. Šír
doaj   +1 more source

Macroscopic particle method for channel flow over porous bed

Engineering Applications of Computational Fluid Mechanics, 2018
This paper presents a new macroscopic mesh-free particle method in which Darcy’s and Forchheimer’s terms are introduced into the governing equation to ensure the capacity of the particle method in simulating laminar and turbulent porous medium flows.
Lei Fu, Yee-chung Jin
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Description of regional blow-up in a porous-medium equation

Electronic Journal of Differential Equations, 2002
We describe the (finite-time) blow-up phenomenon for a non-negative solution of a porous medium equation of the form $$ u_t = Delta u^m + u^m $$ in the entire space. Here $m>1$ and the initial condition is assumed compactly supported. Blow-up takes place
Carmen Cortazar, Manuel Del Pino, Manuel Elgueta   +2 more
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