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A note on the asymptotic analysis of a thermal relaxation oscillator
Author(s) -
Lundberg P.,
Bahrami F.,
Zarroug M.
Publication year - 2009
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200900304
Subject(s) - relaxation oscillator , relaxation (psychology) , limit (mathematics) , thermal , nonlinear system , volume (thermodynamics) , mechanics , order (exchange) , mathematics , manifold (fluid mechanics) , mathematical analysis , physics , statistical physics , thermodynamics , quantum mechanics , engineering , economics , psychology , social psychology , finance , voltage , voltage controlled oscillator , mechanical engineering
A nonlinear oscillator, based on two connected vessels which are thermally forced around the maximum‐density temperature of the working fluid, is investigated. For a suitable choice of parameters, the system executes self‐sustained relaxation oscillations. This process has been examined for a large volume difference between the vessels, in which case the solution makes almost discontinuous jumps between the two branches of the slow manifold of the problem. It was found that in this limit, a lowest‐order analysis does reasonable justice to the periodic behaviour of the system.