Keywords
Dinámica No Lineal, Termosifon, Comportamiento asintótico, Variedad Inercial, Thermosyphon, Asymptotic behaviour, Inertial Manifold
Asymptotic Behaviour of the Nonlinear Dynamical System Governing a Thermosyphon Model
Abstract
Thermoyphons, en la literatura de ingeniería, es un dispositivo compuesto por un circuito cerrado que contiene un fluido cuyo movimiento es impulsado por varias acciones tales como la gravedad y la convección natural. Su dinámica se ha gobernado para un sistema diferencial acoplado no lineal. En varios trabajos anteriores mostramos caos en el fluido, incluso con un fluido binario (Jiménez Casas y Ovejero, Jiménez Casas y Rodríguez Bernal). En este trabajo probé algunos resultados sobre el comportamiento asintótico de las soluciones del sistema anterior con fluidos binarios (agua y anticongelante) cuando consideramos un flujo de calor prescrito.
Estos resultados son la generalización de los obtenidos por Rodriguez-Bernal y Van Vleck para un modelo de termosifón con fluido de un componente.
Thermoyphons, in the engineering literature, is a device composed of a closed loop containing a fluid who motion is driven by several actions such as gravity and natural convection. Their dynamics have been governed for a coupled differential nonlinear systems. In several previous work we show chaos in the fluid, even with a binary fluid ( Jim\'enez-Casas and Ovejero, Jim\'enez-Casas and Rodriguez-Bernal). In this work I prove some result about the asymptotic behaviour for solutions of above system with binary fluids (water and antifreeze) when we consider a prescribed heat flux. These results are the generalizing of those obtained by Rodriguez-Bernal and Van Vleck for a thermosyphon model with one-component fluid.
Thermoyphons, in the engineering literature, is a device composed of a closed loop containing a fluid who motion is driven by several actions such as gravity and natural convection. Their dynamics have been governed for a coupled differential nonlinear systems. In several previous work we show chaos in the fluid, even with a binary fluid ( Jim\'enez-Casas and Ovejero, Jim\'enez-Casas and Rodriguez-Bernal). In this work I prove some result about the asymptotic behaviour for solutions of above system with binary fluids (water and antifreeze) when we consider a prescribed heat flux. These results are the generalizing of those obtained by Rodriguez-Bernal and Van Vleck for a thermosyphon model with one-component fluid.
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