An exact solution for a diffusive flow in a porous medium
نویسندگان
چکیده
منابع مشابه
An exact solution of a diffusive predator–prey system
BY SERGEI PETROVSKII, HORST MALCHOW AND BAI-LIAN LI Shirshov Institute of Oceanology, Russian Academy of Science, Nakhimovsky Prosp. 36, Moscow 117218, Russia ([email protected]) Institute of Environmental Systems Research, Department of Mathematics, Osnabrück University, Osnabrück 49069, Germany Ecological Complexity and Modeling Laboratory, Department of Botany and Plant Sciences, Universi...
متن کاملNumerical modelling of double-diffusive natural convection within an arc shaped enclosure filled with a porous medium
Numerical study of double-diffusive natural convective heat transfer in a curved cavity filledwith a porous medium has been carried out in the current study. Polar system has beenselected as coordinate system. As a result, all equations have been discredited in r and θdirections. Brinkmann extended Darcy model has been utilized to express fluid flow inporous matrix in the enclosure. Smaller and...
متن کاملExact Solutions for Unsteady Magnetohydrodynamic Oscillatory Flow of a Maxwell Fluid in a Porous Medium
In this paper, exact solutions of velocity and stresses are obtained for the magnetohydrodynamic (MHD) flow of a Maxwell fluid in a porous half space by the Laplace transform method. The flows are caused by the cosine and sine oscillations of a plate. The derived steady and transient solutions satisfy the involved differential equations and the given conditions. Graphs for steady-state and tran...
متن کاملEXACT SOLUTIONS FOR FLOW OF A SISKO FLUID IN PIPE
By means of He's homotopy perturbation method (HPM) an approximate solution of velocity eld is derived for the ow in straight pipes of non-Newtonian uid obeying the Sisko model. The nonlinear equations governing the ow in pipe are for- mulated and analyzed, using homotopy perturbation method due to He. Furthermore, the obtained solutions for velocity eld is graphically sketched...
متن کاملA characteristic method for porous medium flow
We present an efficient and accurate characteristic method for the solution of the unsteady-state advection-diffusion transport equations, which arise in the mathematical models for flow and transport processes in porous media. The advantages of this method include symmetrizing the governing transport equation, treating boundary conditions naturally in the formulation, and conserving mass. More...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 1969
ISSN: 0022-1120,1469-7645
DOI: 10.1017/s0022112069001479