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A Mixture Theory Model for the Forced Convection Flow Through an Unsaturated Wellbore by Maria Laura Martins-Costa; Rogério M. Saldanha da Gama is a scholarly article available to read on EtoBox.

What is A Mixture Theory Model for the Forced Convection Flow Through an Unsaturated Wellbore about?

This work studies the dynamics of the filling up of a rigid cylindrical porous matrix by a Newtonian fluid and the heat transfer associated phenomenon. A mixture theory approach is employed to obtain a preliminary local description for non-isothermal flows through a wellbore. The mixture consists of three overlapping continuous constituents, representing the porous matrix (solid constituent), the Newtonian fluid (liquid constituent) and an inert gas included to account for the compressibility of the mixture as a whole. Assuming the convective flow on radial direction only, a set of four non-linear partial differential equations describes the problem. Its hydrodynamic part-a non-linear hyperbolic system-is approximated by means of a GlimmÕs scheme, combined with an operator splitting technique, while an implicit finite difference scheme is used to simulate the thermal part. Some examples illustrate the proposed strategy.

Author

Maria Laura Martins-Costa; Rogério M. Saldanha da Gama

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0142-727X)

Published

2005

Language

EN