Two new solutions to the heat conduction equation, describing transient heating of
an evaporating droplet, are suggested. Both solutions take into account the effect
of the reduction of the droplet radius due to evaporation, assuming that this radius
is a linear function of time. It has been pointed out that the new approach predicts
lower droplet surface temperatures and slower evaporation rates compared with the
traditional approach. New solutions to the heat conduction equation, describing
transient heating of an evaporating droplet, are suggested, assuming that the time
evolution of droplet radius Rd(t) is known. The results of calculations are compared
with the results obtained using the previously suggested approach, when the droplet
radius was assumed to be a linear function of time during individual time steps, for
typical Diesel engine-like conditions. Both solutions predict the same results which
indicates that both models are likely to be correct.

Date of Award | Feb 2012 |
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Original language | English |
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Awarding Institution | |
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A mathematical study of the effect of a moving boundary and a thermal boundary layer on droplet heating and evaporation

Gusev, I. (Author). Feb 2012

Student thesis: Doctoral Thesis