نتایج جستجو برای: forchheimer equation

تعداد نتایج: 230070  

2009
Matthew Balhoff Andro Mikelić Mary F. Wheeler

In this work we use the method of homogenization to develop a filtration law in porous media that includes the effects of inertia at finite Reynolds numbers. The result is much different than the empirically observed quadratic Forchheimer equation. First, the correction to Darcy’s ∗The research of A.M. was partially supported by the GDR MOMAS (Modélisation Mathématique et Simulations numériques...

Journal: :Applied Mathematics and Optimization 2021

The resonant penetrative convection in a Brinkman–Forchheimer fluid interfacing with Darcy is considered. It our main purpose to study the continuous dependence of solution on changes heat source and Forchheimer coefficient.

2017
Tasawar Hayat Farwa Haider Taseer Muhammad Ahmed Alsaedi

Here Darcy-Forchheimer flow of viscoelastic fluids has been analyzed in the presence of Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions. Results for two viscoelastic fluids are obtained and compared. A linear stretching surface has been used to generate the flow. Flow in porous media is characterized by considering the Darcy-Forchheimer model. Modified version of Fourier's l...

Journal: :Turkish Journal of Mathematics 2023

We study the generalized Forchheimer flows of slightly compressible fluids in rotating porous media. In problem's model, varying density Coriolis force is fully accounted for without any simplifications. It results a doubly nonlinear parabolic equation density. derive priori estimates solutions terms initial, boundary data and physical parameters, emphasizing on case unbounded data. Weighted Po...

Journal: :Internal Medicine 2020

2013
Peter A. Troch Alexis Berne Patrick Bogaart Ciaran Harman Arno G. J. Hilberts Steve W. Lyon Claudio Paniconi Valentijn R. N. Pauwels David E. Rupp John S. Selker Adriaan J. Teuling Remko Uijlenhoet Niko E. C. Verhoest Wilfried Brutsaert

[1] Based on a literature overview, this paper summarizes the impact and legacy of the contributions of Wilfried Brutsaert and Jean-Yves Parlange (Cornell University) with respect to the current state-of-the-art understanding in hydraulic groundwater theory. Forming the basis of many applications in catchment hydrology, ranging from drought flow analysis to surface water-groundwater interaction...

Journal: :Entropy 2016
Rahma Bouabda Mounir Bouabid Ammar Ben Brahim Mourad Magherbi

This investigation deals with the numerical simulation of entropy generation at mixed convection flow in a lid-driven saturated porous cavity submitted to a magnetic field. The magnetic field is applied in the direction that is normal to the cavity cross section. The governing equations, written in the Darcy–Brinkman–Forchheimer formulation, are solved using a numerical code based on the Contro...

Journal: :Advances in Water Resources 2014

2015
Ime Jimmy Uwanta Halima Usman

This paper presents the study of the effects of variable thermal conductivity and Darcy-Forchheimer on magnetohydrodynamic free convective flow in a vertical channel in the presence of constant suction. The resulting governing equations are non-dimensionalised, simplified and solved using Crank Nicolson type of finite difference method. To check the accuracy of the numerical solution, steady-st...

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