New math model speeds up predictions for evaporating droplets
Researchers have refined a decades-old mathematical technique to better predict how multiple droplets evaporate on surfaces—a problem relevant to manufacturing, coating processes, and microfluidics. The modified method offers engineers faster, more accurate calculations without expensive computer simulations, potentially reducing design time and costs across industries reliant on precise evaporation control.
Originaltitel: The modified Kachanov method. Evaporation of multiple droplets
<p>Evaporation of multiple sessile droplets deposited on an impermeable flat substrate is considered in the diffusion-limited isothermal regime, with particular emphasis on determining the total quasi-stationary vapor fluxes from the droplet surfaces. The proposed approximate solution is based on Kachanov’s approximation for the vapor concentration field in the semi-infinite air domain, expressed as a linear combination of solutions to single-droplet problems, with the coefficients determined by imposing appropriate Bubnov–Galerkin orthogonality relations to enforce the boundary conditions on the droplet surfaces. A comparison of the proposed modified Kachanov method with other approximate approaches is presented. The case of multiple thin circular sessile droplets is examined in detail.</p>