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The combustion of a moving liquid fuel drop has been investigated. The drop
experiences a strong evaporation-induced radial velocity while undergoing slow
translation. In view of the high evaporation velocity, the flow field is not in the
Stokes regime. The combustion process is modelled by an indefinitely fast chemical
While the flow and the transport in the continuous phase and the drop internal
circulation are treated as quasisteady, the drop heat-up is regarded as a transient
process. The transport equations of the continuous phase require analysis by a
singular perturbation technique. The transient heat-up of the drop interior is solved
by a series-truncation numerical method. The solution for the total problem is
obtained by coupling the results for the continuous and dispersed phases.
The enhancement in the mass burning rate and the deformation of the flame shape
due to drop translation have been predicted. The initial temperature of the drop and
the subsequent heating influence the temporal variations of the flamefront standoff
ratio and the flame distance. The friction drag, the pressure drag and the drag due
to interfacial momentum flux are individually predicted, and the total drag behaviour
is discussed. The circulation inside the drop decreases with evaporation rate. A
sufficiently large non-uniform evaporation velocity causes the circulation to reverse.
Gogos, George; Sadhal, Satwindar S.; Ayyaswamy, Portonovo S.; and Sundararajan, T., "Thin-Flame Theory for the Combustion of a Moving Liquid Drop: Effects Due to Variable Density" (1986). Departmental Papers (MEAM). 182.
Date Posted: 17 August 2010
This document has been peer reviewed.