ISSN 0040-5795, Theoretical Foundations of Chemical Engineering, 2016, Vol. 50, No. 3, pp. 273–285. © Pleiades Publishing, Ltd., 2016. Original Russian Text © B.Ch. Balabekov, A.M. Brener, O.S. Balabekov, 2016, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2016, Vol. 50, No. 3, pp. 281–293. 273 INTRODUCTION Despite a large number of works devoted to study- ing the processes of heat and mass transfer that occur in the working area of heat transfer and heat- and mass-transfer packing devices, methods of calculating them from the point of view of general concepts have remained poorly developed up to now, which allows for reasonable developments for optimizing operating and constructive parameters based on relatively simple mathematical models. In this regard, the development of effective models of processes of heat and mass transfer for a wide range of interaction rates of liquid and gas phases in order to calculate local and average coefficients of heat and mass transfer in the gas flow in the packed bed remains a relevant area of research. The aim of work is to develop approximate mathe- matical calculations of the intensity of heat and mass transfer in the operating zone of the tubular and pack- ing device. Approaches for assessing the impact of the layer depth of contact elements in the devices for wet scrubbing of gases on the structure of gas flow, liquid droplet trajectories [1], and heat- and mass-transfer processes are proposed [2]. The obtained results may be useful for calculations of many technological pro- cesses carried out in tubular and packing wet-type devices [3]. In this paper, we solve the problem of modeling heat- and mass-transfer processes in the devices of chemical technology under the following simplifying assumptions [4, 5]: 1) flat flowing is considered; 2) the density of the droplets is much greater than density of the gas; 3) the there are no large gradients of static pressure; 4) there are no significant gradients of the gas flow rate, which may create force, perpendicular to the direction of the relative rate of droplet, comparable in magnitude to its weight; 5) the surface of the drop is taken to be close to spherical and there is no primary winding of the drop; 6) heat- and mass-transfer processes that affect the shape and size of droplet slightly perturb the gas flow around the droplet at the same time. Taking into account these assumptions, aerody- namic drag force and the force of gravity drops acquire prevail value. THEORETICAL PART Structure of the Mathematical Model The processes of heat and mass transfer in the gas- drop flow that flow in the packed bed that we consider to be dry in the simulation are considered. A bundle of tubes with cylindrical sections is considered to be packing. The use of contact devices such as the pack- ing of heat- and mass-transfer devices has been exper- imentally investigated in the papers of O.S. Balabekov et al. [6–8]. Numerical Modeling of Heat and Mass Transfer Processes upon the Flowing of Regular Structures by Gas-Droplet Stream B. Ch. Balabekov a , A. M. Brener b , and O. S. Balabekov c a L.N. Gumilev Eurasian National University, Astana, Kazakhstan b M.O. Auezov South Kazakhstan State University, Shymkent, Kazakhstan c Shymkent State Pedagogical Institute, Shymkent, Kazakhstan e-mail: chapaevich_62@mail.ru; chapaevich@fromru.com Received January 12, 2015 Abstract—Approximate models are developed for calculating heat and mass transfer processes in gas-drop flows that pass over a regular packed bed with cylindrical elements. A number of different flow regimes are considered: flat laminar flow, the formation of the stationary vortex behind packing element and formation of nonstationary vortex wake. Criterial equations for calculating corresponding mass transfer parameters are obtained. Keywords: mathematical modeling, numerical experiment, regular structures, gas-drop flow, heat and mass transfer DOI: 10.1134/S0040579516030039