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 -