Transient behaviour of interrupted arcs in steady laminar flow
- 21 August 1976
- journal article
- Published by IOP Publishing in Journal of Physics D: Applied Physics
- Vol. 9 (12) , 1757-1770
- https://doi.org/10.1088/0022-3727/9/12/015
Abstract
The free recovery of arcs in uniform flow and in flow with a linearly increasing pressure gradient (i.e. the self-similar arc) is studied using both integral and differential methods. A core-energy integral equation is introduced into the set of overall arc integral equations and the heat flux at the conducting core boundary is chosen as the correlation parameter for the shape factors. The study of free recovery of uniform flow arcs is converted to that of a self-diffusing arc. For such an arc the conductance decay is solely due to thermal diffusion. The free recovery of a self-similar arc is first controlled by the straining process due to the gas acceleration. The asymptotic behaviour of conductance decay for both arcs is discussed. The excellent agreement between the two methods of arc analysis suggests that the arc behaviour can be predicted accurately by the integral equations.Keywords
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