Paper Info
Title
On the dynamics of a closed thermosyphon
Abstract
This paper is concerned with the motion of a fluid due to natural convection in a closed loop. Under some suitable assumptions on the physical parameters involved, one is then led to the study of a nonlocal evolution system consisting of two coupled equations for the velocity and temperature of the fluid i.e., epsilon dv/dt=phi T(x,t)f(x)dx-g(Re\v\)\v\v for t > 0, partial derivative T/partial derivative/t+v partial derivative T/partial derivative x=1/epsilon(Re\v\)\v\(Tw(x)-T)After obtaining existence and uniqueness for solutions of the corresponding initial value problem, the set of stationary solutions for large Reynolds numbers is described in detail. Finally, a stability analysis of these solutions is performed in such asymptotic limit. In the course of this study it is shown that, for large Reynolds numbers, essential information about the stationary solutions and their stability is contained in the set of zeros of a suitable meroromorphic function, which is thoroughly analyzed.
Year
DOI
Venue
1994
10.1137/S0036139993246787
SIAM Journal of Applied Mathematics
Keywords
Field
DocType
closed thermosyphon,linear stability,meromorphic functions
Linear stability,Uniqueness,Thermodynamics,Meromorphic function,Mathematical analysis,Mathematical physics,Initial value problem,Asymptotic analysis,Partial differential equation,Mathematics
Journal
Volume
Issue
ISSN
54
6
0036-1399
Citations 
PageRank 
References 
2
0.92
0
Authors
1
Name
Order
Citations
PageRank
J. J. L. Velázquez1138.41