We investigate the coalescence of drops undergoing random Brownian motion and evaporation. The evolution of the drop size spectrum is determined by solving a partial integro-differential equation with a kernel that describes the pairwise coalescence of drops. Numerical results for fuel injection with n-octane suggest that the size distribution of drops is determined by two competing processes, namely coalescence and evaporation. Nous Ctudions ici la coalescence de gouttes dans des conditions de dkplacement brownien alCatoire et d'kvaporation. L'Cvolution du spectre de la taille des gouttes est determinee par la rksolution d'une Bquation intkgro-diffkrentielle partielle avec un noyau qui dCcrit la coalescence par paire des gouttes. Les rksultats numkriques pour l'injection du fuel avec du n-octane suggkrent que la distribution de taille des gouttes est dCterminke par deux processus se faisant concurrence, B savoir la coalescence et l'kvaporation.
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