THERMAL CHOKING IN 2-DIMENSIONAL EXPANSION FLOWS

Citation
Cf. Delale et Meh. Vandongen, THERMAL CHOKING IN 2-DIMENSIONAL EXPANSION FLOWS, Zeitschrift fur angewandte Mathematik und Physik, 49(4), 1998, pp. 515-537
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00442275
Volume
49
Issue
4
Year of publication
1998
Pages
515 - 537
Database
ISI
SICI code
0044-2275(1998)49:4<515:TCI2EF>2.0.ZU;2-R
Abstract
Two-dimensional supersonic flows with heat addition from given interna l sources and/or nonequilibrium condensation are considered. The criti cal amount of heat necessary to thermally choke the flow is defined at any point in the flow field, and the necessary and sufficient conditi ons for thermal choking are identified from the singularities of the e quations of motion along streamlines. In particular, for any practical purposes, it is shown that the flow Mach number reaches unity at any point where the heat added to the flow along the streamline passing th rough that point reaches the critical value. Thermally choked flows ar e then identified as those flows where the critical heat along streaml ines is exceeded leading to embedded oblique shock waves with a local subsonic Row field downstream.