In this paper ongoing work using the computer algebra system Maple V and the object-based environment Spark is presented, that aim at the an alytical approximate resolution of problems encountered in air flows in dwelling zones, using computer algebra and expert system techniques. The application domain is the building science. The current scope of the work at this stage is two dimensional and steady state. The work presented includes a package for domain decomposition based on expectations about the nature and qualitative behavior of the flow , themselves derived from the boundary conditions of the problem, first principles, and scaling arguments. A numerical engine with an object-based interface, called Spark, is used for solving hard numerical closure equations. The current state of the project as well as the experience of using Maple V and Spark for it is also described.