TY - GEN

T1 - On the modeling and control of coupled multi-loop thermosyphons

AU - Wu, Yan

PY - 2011

Y1 - 2011

N2 - This paper presents a one-dimensional model for natural convection in coupled multi-loop thermosyphons. The physical model is governed by a system of Navier-Stokes equations, which are reduced to coupled systems of Lorenz equations via the Galerkin method. The simulations reveal different stages of flow as the Rayleigh number increases, e.g., from heat conduction, steady convective flow, to chaotic time-dependent flow. The control objective is to either stabilize the flow in each loop at one of its equilibrium points or track a reference signal in the chaotic range of the Rayleigh number. The controller design is based on proportional and integral (PI) control principles. The design can be easily implemented because the feedback state is measurable.

AB - This paper presents a one-dimensional model for natural convection in coupled multi-loop thermosyphons. The physical model is governed by a system of Navier-Stokes equations, which are reduced to coupled systems of Lorenz equations via the Galerkin method. The simulations reveal different stages of flow as the Rayleigh number increases, e.g., from heat conduction, steady convective flow, to chaotic time-dependent flow. The control objective is to either stabilize the flow in each loop at one of its equilibrium points or track a reference signal in the chaotic range of the Rayleigh number. The controller design is based on proportional and integral (PI) control principles. The design can be easily implemented because the feedback state is measurable.

KW - Chaos

KW - Jacobian

KW - Lorenz equations

KW - Navier-Stokes equations

KW - Perturbation

KW - Proportional-integral control

KW - Thermosyphon

UR - http://www.scopus.com/inward/record.url?scp=79958755333&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:79958755333

SN - 9789604742707

T3 - Applications of Mathematics and Computer Engineering - American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11

SP - 105

EP - 110

BT - Applications of Mathematics and Computer Engineering - American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11

T2 - American Conference on Applied Mathematics, AMERICAN-MATH'11, 5th WSEAS International Conference on Computer Engineering and Applications, CEA'11

Y2 - 29 January 2011 through 31 January 2011

ER -