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##### Interdisciplinary analysis of Sign Systems and Guidance Systems in Hospitals

**Authors**: André, Sónia, Corte-Real, Eduardo, Andre S. Ribeiro, Rosa, Carlos, Simões, Vitor

**Ref.**: proceedings of Fourth International Space Syntax Symposium (2003)

**Abstract**: Viscosity for liquids relates shear stress and the velocity profile of a fluid under that stress. Such concept has been applied also to gases.
In Physics, the concept of viscosity is used in several situations and its initial definition as been changed and adapted to several circumstances. In this article we shall apply such concept of viscosity to fluxes of people inside a building structure.
The fluxes will be measured for the paths inside the buildings. The paths are determined and established for the building structure using the Space Syntax method.
Using the Principle of Dimensional Homogeneity in physics we develop a formula, using the parameters measured, concerning the flux of people, to compute a valid value of viscosity for each path inside the building.
Nevertheless, the units in which is measured must always be the same or, at least, equivalent, that is, a conversion can be made to transform the units of any definition into any other valid definition used.
The use of this computation for practical cases allows the study of possible structural changed for optimisation of traffic inside structures.
In order to test the veracity of the formula found we compare its results using the Least Action Principle, as another criterion for path choice.
The determination of a viscosity measure for each path will allow predicting fluxes inside any building structure analysed or their variation due to structural variations of the building itself.
The final goal is to obtain a signalisation procedure in complex building structures that is able to coincide the least viscosity paths with the least action paths in order to obtain maximal efficiency of flux.