نتایج جستجو برای: forchheimer equation

تعداد نتایج: 230070  

2012
Waqar A. Khan Ioan M. Pop

In this study, the steady forced convection flow and heat transfer due to an impermeable stretching surface in a porous medium saturated with a nanofluid are investigated numerically. The Brinkman-Forchheimer model is used for the momentum equations (porous medium), whereas, Bongiorno's model is used for the nanofluid. Uniform temperature and nanofluid volume fraction are assumed at the surface...

2012
M. Jazar R. Monneau

In this paper, we consider the flow of fresh and saltwater in a saturated porous medium in order to describe the seawater intrusion. Starting from a formulation with constant densities respectively of fresh and of saltwater, whose velocity is proportional to the gradient of pressure (Darcy’s law), we consider the formal asymptotic shallow water limit as the ratio between the thickness and the h...

Journal: :Journal of Mathematical Fluid Mechanics 2017

Journal: :Ground water 2003
Matthew J Simpson T Prabhakar Clement Francis E Yeomans

An analytical solution for calculating the residence time of fluid flowing toward a pumping well in an unconfined aquifer has been developed. The analytical solution was derived based on a radial, steady-state, Dupuit-Forchheimer flow model. The resulting integral expression involved computing the imaginary error function, for which a simple series expansion is proposed. The validity of the ana...

2015
Ronghui Ma Liang Zhu

Number of Papers published in peer-reviewed journals: Number of Papers published in non peer-reviewed journals: Final Report: Computational Study of Colloidal Droplet Interactions with Three Dimensional Structures Report Title The colloidal droplet spreading on and sorption into a porous medium is important to 3D printing technology. In this study, we conducted numerical simulation to investiga...

2017
Xin Yang Tianhong Yang Zenghe Xu Bin Yang

Seepage in a medium packed with particles of variable granular size can be seen in many fields of engineering applications. Due to the relative complex spatial aspect of pore geometry, there are notable differences in the critical parameters of flow transition (Reynolds number and Forchheimer number) between different structures. It is difficult to distinguish the available range of seepage equ...

Journal: :Mathematics 2023

The spontaneous movement of natural motile cilia in the form metachronal waves is responsible for fluid transport. These cilia, particular, play important roles locomotion, feeding, liquid pumping, and cell delivery. On other hand, artificial can be useful lab-on-a-chip devices manipulation processes. In this study, a novel model ciliated tapered channel Sutterby flow under impact an induced ma...

Journal: :Applied Mathematics and Mechanics 2020

2014
Zhang Wen Zhuangtian Liu Menggui Jin Hongbin Zhan

A numerical analysis of non-Darcian flow to a pumping well in a confined aquifer using the strong-form mesh-free (MFREE) method is described. This technique is targeted at problems that use advanced numerical approaches for modeling non-Darcian flow and it supports the assumption that the non-Darcian flow follows the Forchheimer equation. Interpolation functions including the multi-quadrics (MQ...

2009
Federico E. Teruel

0017-9310/$ see front matter 2009 Elsevier Ltd. A doi:10.1016/j.ijheatmasstransfer.2009.07.017 * Corresponding author. Address: Centro Atómico 8400, Rio Negro, Argentina. E-mail address: [email protected] (F.E. Terue A large set of microscopic flow simulations in the Representative Elementary Volume (REV) of a porous medium formed by staggered square cylinders is presented. For each Reynol...

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