Lagrangian Visualization of Natural Convective Flows

Abstract

This paper presents a visualization technique which shows the geometric deformation of a fluid moving by natural convection inside a cubic container. The technique is based on intensive numerical calculations and the use of sophisticated visualization tools. The convective motion is produced by maintaining the temperatures of two opposite vertical walls of the container at constant value but different values. All other sides are considered to be thermally insulated. The wall temperatures oscillate as a function of time. Due to the combined effect of time-dependent temperature difference and gravity acceleration, vortices are generated in different zones of the container. Under appropriate circumstances, the vortices may lead to mixing. The flow details are obtained by numerical integration of time dependent governing equations for mass, momentum and energy. The flow visualization is obtained using Lagrangian particle tracking of a set of points distributed on a closed surface. The deformation of the surface contains information about dynamics of the flow; in particular, it is possible to identify zones where flow stretching and foldings occur. An estimation of the error by reversal is given. Calculations and visualizations were made in an Origin 2000 and in an Onix computer respectively.

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Cite this paper

@inproceedings{RamosLagrangianVO, title={Lagrangian Visualization of Natural Convective Flows}, author={Eduardo Ramos and Luis M. de la Cruz and Victor Godoy} }