{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,27]],"date-time":"2025-09-27T10:55:02Z","timestamp":1758970502423},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2005,8]]},"abstract":"<jats:p> Using a drift flux representation for the two-phase flow, a new reduced order model has been developed to simulate density-wave oscillations (DWOs) in a heated channel. This model is then used to perform stability and semi-analytical bifurcation analysis, using the bifurcation code BIFDD, in which the stability boundary (SB) and the nature of Hopf bifurcation are determined in a suitable two-dimensional parameter space. <\/jats:p><jats:p> A comparative study is carried out to investigate the effects of the parameters in the drift flux model (DFM) \u2014 the radially void distribution parameter C<jats:sub>0<\/jats:sub> and the drift velocity V<jats:sub>gj<\/jats:sub> \u2014 on the SB as well as on the nature of Hopf bifurcation. It is the first time that a systematic analysis has been carried out to investigate the effects of DFM parameters on the nature of Hopf bifurcation in a heated-channel two-phase flow. <\/jats:p><jats:p> The results obtained show that both sub- and super-critical Hopf bifurcations are encountered. In addition, it has been found that, while the SB is sensitive to both C<jats:sub>0<\/jats:sub> and V<jats:sub>gj<\/jats:sub>, the nature of Hopf bifurcation for lower values of N<jats:sub> sub <\/jats:sub> is more sensitive to V<jats:sub>gj<\/jats:sub> than to C<jats:sub>0<\/jats:sub>. Numerical integration of the set of ODEs is carried out to confirm the predictions of the semi-analytical bifurcation analysis. <\/jats:p>","DOI":"10.1142\/s0218127405013381","type":"journal-article","created":{"date-parts":[[2005,9,29]],"date-time":"2005-09-29T09:34:54Z","timestamp":1127986494000},"page":"2395-2409","source":"Crossref","is-referenced-by-count":26,"title":["SEMI-ANALYTICAL BIFURCATION ANALYSIS OF TWO-PHASE FLOW IN A HEATED CHANNEL"],"prefix":"10.1142","volume":"15","author":[{"given":"A.","family":"DOKHANE","sequence":"first","affiliation":[{"name":"Laboratory for Reactor Physics and Systems Behavior, Paul Scherrer Institute, CH-5232 Villigen, Switzerland"},{"name":"Swiss Federal Institute of Technology (EPFL), PHB-Ecublens, CH-1015 Lausanne, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.","family":"HENNIG","sequence":"additional","affiliation":[{"name":"Laboratory for Reactor Physics and Systems Behavior, Paul Scherrer Institute, CH-5232 Villigen, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"CHAWLA","sequence":"additional","affiliation":[{"name":"Laboratory for Reactor Physics and Systems Behavior, Paul Scherrer Institute, CH-5232 Villigen, Switzerland"},{"name":"Swiss Federal Institute of Technology (EPFL), PHB-Ecublens, CH-1015 Lausanne, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"family":"RIZWAN-UDDIN","sequence":"additional","affiliation":[{"name":"Department of Nuclear, Plasma, and Radiological Engineering, University of Illinois, 103 S. Goodwin Ave. Urbana, IL 61801, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112085001781"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/0960-0779(91)90006-U"},{"key":"rf5","first-page":"222","volume":"108","author":"Dykhuizen R. C.","journal-title":"J. Heat Transfer"},{"key":"rf6","volume-title":"Dynamics of Nonlinear Systems","author":"Hassard B. D.","year":"1986"},{"key":"rf7","unstructured":"B. D.\u00a0Hassard, Proc. Oscillation, Bifurcation and Chaos (Canadian Mathematical Society, 1987)\u00a0pp. 447\u2013463."},{"key":"rf8","first-page":"B11","author":"Ishii M.","journal-title":"Heat Transfer"},{"key":"rf10","first-page":"533","volume":"71","author":"Karve A. A.","journal-title":"Trans. Am. Nucl. 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