Analytical approximations in short time limits are derived from the Laplace domain solutions to the spherically symmetric droplet vaporization problem. These analytical approximations are applied to modelling the transient heating and evaporation of diesel fuel droplets. Contrary to conventional approaches, the new approach includes a consistent description of the very initial stage of droplet heating as well as the whole evaporation stage. Moreover, the results show an important numerical efficiency compared with that of conventional time-step models used in CFD spray modelling.

droplet transient heating, heat and mass transfer, Laplace domain solutions, analytical approximations, computational efficiency, CFD spray modelling.

Received: October 1, 2021; Accepted: November 17, 2021; Published: November 27, 2021

How to cite this article: Kwassi Anani, An efficient approximate analytical model for droplets transient heating and evaporation, International Journal of Numerical Methods and Applications 20(2) (2021), 157-172. DOI: 10.17654/NM020020157

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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