THEORETICAL BACKGROUNDS FOR ENHANCEMENT OF DRY MILK DISSOLUTION PROCESS: MATHEMATICAL MODELING OF THE SYSTEM “SOLID PARTICLES - LIQUID”

Abstract

The mathematical model of immersion of insoluble spherical particle with smooth surface under absolute statics (incl. assumption – its spontaneous formation on the surface) at the particle density ranging from 1.05 to 1.75 kg/m3 and contact angle of moistening from 0º to 180º was created for development of theoretical and practical backgrounds of the reconstitution process. This model was used as the base of model of immersion in water and drowning of cubic grid of spherical insoluble particles under full static condition. Regularities of layers’ drawning were established and an algorithm for calculating the missing force for full grid immersion was developed. It is possible to determine the coefficient of correlation between the calculated and actual data, taking into account the heat and mass transfer processes occurring during the dissolution of the dry products that will bring model to real systems and, in such a way, unify the process.

Keywords

• reconstitution
• mathematical model
• dry milk products
• a particle
• the particle frame