Exact solution for flow of slightly compressible fluids through multiple-porosity, multiple-permeability media

1991 ◽  
Vol 28 (1) ◽  
pp. A22
Keyword(s):  
Exact Solution ◽  
Compressible Fluids ◽  
Slightly Compressible ◽  
Multiple Porosity

scholarly journals Bénard Problem for Slightly Compressible Fluids: Existence and Nonlinear Stability in 3D

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Arianna Passerini
Keyword(s):  
Pressure Field ◽  
Fluid Model ◽  
Classical Model ◽  
Compressible Fluids ◽  
Heat Conducting ◽  
Regular Solutions ◽  
New Approach ◽  
Slightly Compressible ◽  
Bénard Problem ◽  
Benard Problem

This paper shows the existence, uniqueness, and asymptotic behavior in time of regular solutions (a la Ladyzhenskaya) to the Bénard problem for a heat-conducting fluid model generalizing the classical Oberbeck–Boussinesq one. The novelty of this model, introduced by Corli and Passerini, 2019, and Passerini and Ruggeri, 2014, consists in allowing the density of the fluid to also depend on the pressure field, which, as shown by Passerini and Ruggeri, 2014, is a necessary request from a thermodynamic viewpoint when dealing with convective problems. This property adds to the problem a rather interesting mathematical challenge that is not encountered in the classical model, thus requiring a new approach for its resolution.

Development of a Model for Analysing Radial Flow of Slightly Compressible Fluids

2009 ◽  
Vol 62-64 ◽  
pp. 629-636
Author(s):  
John A. Akpobi ◽  
E.D. Akpobi
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Finite Element ◽  
Finite Difference ◽  
Radial Flow ◽  
Compressible Fluids ◽  
The Finite Element Method ◽  
Time Approximation ◽  
Slightly Compressible ◽  
Fluid Properties

In this work, we develop a finite element-finite difference method to solve the differential equation governing the radial flow of slightly compressible fluids. The finite element method is used to carry out spatial approximations so as to study the variation of fluid properties at the various nodes to which effect we divided the entire radial domain of the fluid into a mesh of four radial 1-D quadratic elements which exposes nine nodes to intense study. Time approximation is done with the aid of the Crank-Nicolson finite difference scheme.

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