Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero
نویسندگان
چکیده
In this paper we consider a two-phase flow problem in porous media and study its singular limit as the viscosity of the air tends to zero; more precisely, we prove the convergence of subsequences to solutions of a generalized Richards model.
منابع مشابه
Numerical study of Hele-Shaw flow with suction
We investigate numerically the effects of surface tension on the evolution of an initially circular blob of viscous fluid in a Hele-Shaw cell. The blob is surrounded by less viscous fluid and is drawn into an eccentric point sink. In the absence of surface tension, these flows are known to form cusp singularities in finite time. Our study focuses on identifying how these cusped flows are regula...
متن کاملMHD Flow and Heat Transfer Analysis of Micropolar Fluid through a Porous Medium between Two Stretchable Disks Using Quasi-Linearization Method
In this paper, a comprehensive numerical study is presented for studying the MHD flow and heat transfer characteristics of non-Newtonian micropolar fluid through a porous medium between two stretchable porous disks. The system of governing equations is converted into coupled nonlinear ordinary ones through a similarity transformation, which is then solved using Quasi-linearization ...
متن کاملEffect of Exponentially Variable Viscosity and Permeability on Blasius Flow of Carreau Nano Fluid over an Electromagnetic Plate through a Porous Medium
The present investigation draws scholars' attention to the effect of exponential variable viscosity modeled by Vogel and variable permeability on stagnation point flow of Carreau Nanofluid over an electromagnetic plate through a porous medium. Brownian motion and thermophoretic diffusion mechanism are taken into consideration. An efficient fourth-order RK method along with shooting technique ar...
متن کاملMHD FREE CONVECTIVE FLUCTUATING FLOW THROUGH A POROUS EFFECT WITH VARIABLE PERMEABILITY PARAMETER
In the present paper, we have studied MHD free convective two dimensional unsteady viscous incompressible flows through a porous effect bounded by an infinite vertical porous plate with constant suction. The permeability of the porous medium fluctuates in time about a constant mean, and the viscosity of fluid is assumed to vary as a linear function of temperature. The flow is permitted under th...
متن کاملNumerical Evaluation of Hydraulic Fracturing Pressure in a Two-Phase Porous Medium
Hydraulic fracturing is a phenomenon in which cracks propagate through the porous medium due to high pore fluid pressure. Hydraulic fracturing appears in different engineering disciplines either as a destructive phenomenon or as a useful technique. Modeling of this phenomenon in isothermal condition requires analysis of soil deformation, crack and pore fluid pressure interactions. In this paper...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009