Heat and mass transfer in interaction of spherical drops and gas bubbles with a liquid flow

Conjugate unsteady heat transfer from a droplet in creeping flow

“…For high Peclet numbers, two competing approximate models have been published. The first of these assumes that a thin thermal boundary layer exists at both sides of the droplet surface (Levich et al 1965, Chao 1969 Brounshtein et al 1970) the ideas of Kronig and Brink (1950) on a highly developed circulation within the droplet are applied, but the boundary conditions at the droplet surface make allowance for the heat transfer resistance in the continuous phase.…”

Unsteady conjugate forced convection heat/mass transfer in ensembles of spherical particles with cell models

“…Brounshtein et al [14] proposed a different approach. The heat/ mass transfer inside the sphere is described by the usual balance equations (the Kronig-Brink model was used in [14] for circulating spheres at high Pe numbers), but the boundary condition at the interface takes into consideration the resistance of the continuous phase.…”

“…The heat/ mass transfer inside the sphere is described by the usual balance equations (the Kronig-Brink model was used in [14] for circulating spheres at high Pe numbers), but the boundary condition at the interface takes into consideration the resistance of the continuous phase. The external heat/mass transfer coefficient is assumed to be known and equal to its steady value (the values used are those calculated for the heat/mass transfer from a sphere with constant temperature/concentration).…”

Unsteady ternary mass transfer from a sphere in creeping flow

“…Negri and Korchinsky [6] solved numerically the multicomponent mass transfer in a spherical rigid drop (the classical internal problem and the quasi-steady-state approximation (QSSA) [9] of the conjugate problem). A thorough investigation of the influence of cross-diffusion coefficients on the mass transfer rate was not made.…”