Optimal Control of Thermally Convected Fluid Flows

Optimal Control of Thermally Convected Fluid Flows

We examine the optimal control of stationary thermally convected uid ows from the theoretical and numerical point of view. We use thermal convection as control mechanism, that is, control is eeected through the temperature on part of the boundary. Control problems are formulated as constrained minimization problem. Existence of optimal control is given and a rst order necessary conditions of op...

Optimal Control of Navier-Stokes Fluid Flows

Control Performance of Thermally Coupled Distillation Sequences with Unidirectional Flows

The Petlyuk distillation system has been considered with special interest in the field of separation processes because of the high energy savings that it can provide with respect to the operation of sequences based on conventional columns. The original design of the Petlyuk structure, however, shows two interconnections that seem to affect its operational and controllability properties. For one...

Analysis of Fiber Spinning for the Upper-convected Maxwell Fluid

The fiber spinning process of a viscoelastic liquid modeled by the constitutive theory of the Maxwell fluid is analyzed. The governing equations are given by one-dimensional mass, momentum and constitutive equations which arise in the slender body approximation by cross-sectional averaging of the two-dimensional axisymmetric Stokes equations with free boundary. Existence, uniqueness and regular...

Optimal control of katabatic flows within canopies

What slope angle favours the development of katabatic flow is still an open question. Some studies have clarified that katabatic winds are stronger on steep slopes, while others have demonstrated that katabatic winds are stronger on gentle slopes. Here, we explore the control mechanisms of katabatic flow using a simplified theoretical model in an attempt to clarify the causes of the paradoxical...