TY - JOUR
T1 - On the stagnation-point ignition of a premixed combustible
AU - Law, C. K.
N1 - Funding Information:
Acknowledgements-Thaeu thorw ishest o thankP rofessors P. A. Libby and E. Reshotkof or helpfuld iscussionsT. his work was supportedb y the National ScienceF oundation underE NG77-01068.
PY - 1978/11
Y1 - 1978/11
N2 - The ignitability of a cold premixed combustible at the stagnation point of an isothermal hot surface is analyzed in the limit of large activation energy. Analytical solutions were obtained for the first order perturbation, resulting in explicit expressions for the heat transfer at the wall, the temperature and species profiles, and most importantly an ignition criterion which states that ignition is expected to occur when a suitably-defined Damköhler number exceeds unity. It is further demonstrated that this state corresponds to the case of zero heat transfer from the wall, which has been intuitively used in the past as the ignition criterion.
AB - The ignitability of a cold premixed combustible at the stagnation point of an isothermal hot surface is analyzed in the limit of large activation energy. Analytical solutions were obtained for the first order perturbation, resulting in explicit expressions for the heat transfer at the wall, the temperature and species profiles, and most importantly an ignition criterion which states that ignition is expected to occur when a suitably-defined Damköhler number exceeds unity. It is further demonstrated that this state corresponds to the case of zero heat transfer from the wall, which has been intuitively used in the past as the ignition criterion.
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U2 - 10.1016/0017-9310(78)90199-0
DO - 10.1016/0017-9310(78)90199-0
M3 - Article
AN - SCOPUS:0018032555
SN - 0017-9310
VL - 21
SP - 1363
EP - 1368
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
IS - 11
ER -