Steven Meikle - Transient heating of diesel fuel droplets

Document created by Steven Meikle on Sep 4, 2014
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  Publication Details (including relevant citation   information):

  Sazhin, S.S., Krutitskii, P.A., Abdelghaffar, W.A., Sazhina,   E.M., Mikhalovsky, S.V., Meikle, S.T., Heikal, M.R. 47  (14–16) 3327-3340

  Abstract: New solutions of the heat conduction   equation inside a spherical droplet are obtained. The droplet is   assumed to be heated by convection and radiation from the   surrounding hot gas––a situation typical in many engineering   applications. Initial droplet evaporation and the effects of time   dependent gas temperature and convection heat transfer   coefficient are taken into account. In the cases of constant, and   almost constant convection heat transfer coefficients, the   explicit formulae for time dependent radial distribution of   temperature inside droplets are obtained. In the case of   arbitrary convection heat transfer coefficient, the differential   equations are reduced to the Volterra integral equation of the   second kind. A numerical scheme for the solution of this equation   is suggested. The solution for constant convection heat transfer   coefficient is applied to a typical problem of fuel droplet   heating in a diesel engine. It is shown that finite thermal   conductivity of fuel droplets and the effects of radiation need   to be taken into account when modelling droplet heating in diesel   engines.

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