A model for the evaporation of a slowly moving droplet

Simplified model for droplet combustion in a slow convective flow

“…Equation (29) shows how the mixture-fraction field emanating from the spherical burning droplet responds to this uniform flow in the outer region. This nontrivial nonspherical order-ε solution for Z in the outer zone has been seen previously [6,7,11] and is significant in inducing perturbations in Z in both the inner and the outer zones at higher order.…”

“…(3)-(6), along with the seven boundary conditions given in Eqs. (7) and (8), may then be expected to possess a unique solution.…”

“…The condition preceding that, which applies to a rigid porous sphere or to a high-viscosity liquid droplet, excludes tangential motion at the droplet surface; it is selected largely for the simplicity of avoiding the necessity of introducing additional parameters, such as the liquid viscosity, under the realization that much of the earlier work [5][6][7][8] has addressed various influences involving surface motion and that the other parameter-free approximation, (∂u/∂r) = 0, the opposite limit, is less realistic. In the first condition given in Eq.…”

“…Fendell's model contained many simplifying approximations, but more recent and more extensive investigations by Ayyaswamy and co-workers [5][6][7][8] removed many of these approximations. Similar analyses of the combustion of spherical carbon particles at low convection Reynolds numbers have been performed by Blake and Libby [9] and Blake [10].…”

Mathematical Model for Determining the Step Time and Distance Covered by the Droplets of Luquid Fire-Fighting Agent During the Process of Fire Extinguishing in the Closed Room

“…Проблемі теплообміну крапель води з високотемпературним газовим середовищем присвячено низку теоретичних робіт [1][2][3][4][5][6][7][8][9][10][11][12][13]. Математичні моделі теплообміну, наведені в цих працях, розроблені з певними припущеннями.…”