TY - JOUR
T1 - Unsteady droplet combustion with droplet heating-II
T2 - Conduction limit
AU - Law, C. K.
AU - Sirignano, W. A.
N1 - Funding Information:
As a first step towards understanding droplet combustion with droplet heating, Law \[2\]a ssumed that the combined conductive and convective heat transfer mechanisms within the droplet are sufficiently efficient such that the droplet temperature is maintained spacially uniform but tempor- * This research has been sponsored by the National Science Foundation under Grant No. NSF-RANN AER75-09538. It was completed while the first author was associated with Princeton University.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1977
Y1 - 1977
N2 - The spherically-symmetric, thin-flame combustion of a pure component droplet is analyzed by assuming quasi-steady gas-phase processes and conduction being the only heat transfer mechanism within the droplet. Exact numerical, and an approximate analytical, solutions are presented. Results show that droplet heating is the dominant heat utilization mode for the initial 10-20% of the droplet lifetime, during which rapid changes in all combustion characteristics occur; that although unsteadiness within the droplet can prevail until burnout, the droplet surface regresses almost linearly after about 20% of its lifetime; and that accurate predictions on the droplet size, mass, and lifetime can be obtained regardless of how internal heat transfer is modelled.
AB - The spherically-symmetric, thin-flame combustion of a pure component droplet is analyzed by assuming quasi-steady gas-phase processes and conduction being the only heat transfer mechanism within the droplet. Exact numerical, and an approximate analytical, solutions are presented. Results show that droplet heating is the dominant heat utilization mode for the initial 10-20% of the droplet lifetime, during which rapid changes in all combustion characteristics occur; that although unsteadiness within the droplet can prevail until burnout, the droplet surface regresses almost linearly after about 20% of its lifetime; and that accurate predictions on the droplet size, mass, and lifetime can be obtained regardless of how internal heat transfer is modelled.
UR - http://www.scopus.com/inward/record.url?scp=0017442298&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0017442298&partnerID=8YFLogxK
U2 - 10.1016/0010-2180(77)90023-2
DO - 10.1016/0010-2180(77)90023-2
M3 - Article
AN - SCOPUS:0017442298
SN - 0010-2180
VL - 28
SP - 175
EP - 186
JO - Combustion and Flame
JF - Combustion and Flame
IS - C
ER -