Mass transfer accompanied by a chemical reaction taking place rapidly inside a moving spherical drop

The article deals with the problem of convective mass exchange between a liquid drop and a continuous medium, accompanied by an irreversible chemical reaction of second order at high Pe and K values. A numerical solution of the transfer equations is given. The limits of applicability of the resulting solutions are defined.     

Mass transfer of a single bubble in a minimally fluidized granular bed

The transfer of a gas admixture through the boundary of a cloud of closed circulation of gas is examined with a view to both molecular and convective dispersion.Notation a particle radius - c concentration of the admixture - D, D _c tensors of effective diffusion coefficients and of coefficients of convective dispersion, respectively - D parameter in (14) - D₀, D_m coefficients of molecular diffusion, respectively not taking and taking compressibility into account - F, f functions in (17) and (18), respectively - f fraction of the volume of the sphere with radius R_B occupied by the wake of the bubble - g acceleration of gravity - K mass-transfer coefficient determined in (22) - k coefficient in (7) - L coefficient in (22) - p, s functions determined in (13) - Q, q flow of admixture for the entire bubble and local flow, respectively - r_B, R_c radii of bubble and of cloud of closed circulation, respectively - r radial coordinate - U lift velocity of the bubble - u=v-w; u₀=u_*/u_* minimum velocity of fluidization - V volume of bubble - v, w mean gas velocities in the gaps between particles and of the particles, respectively - parameter determined in (8) - , parameters from (14) - porosity of the dense phase and of the cloud - polar angle - independent variable introduced in (12) - p = 1 - flow function Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 2, pp. 323–333, August, 1980.     

Mass transfer during chemical or phase transformation in solid body

A model is constructed to describe motion of a plane transformation front in a solid body, assuming arbitrary relations between the rates of various transport processes involved in the mass transfer of substances.Translated form Inzhenerno-Fizicheskii Zhurnal, Vol. 46, No. 2, pp. 233–240, February, 1984.     

Mass transfer during sulfur extraction from ores

A study was made concerning the kinetics of sulfur extraction from ores with kerosene, for the purpose of determining the limiting process stage at temperatures within 120–140°C. The diffusion coefficients within this temperature range have been determined.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 23, No. 2, pp. 304–307, August, 1972.     

Unsteady mass transfer with a heterogeneous chemical reaction during laminar flow past a sphere

Unsteady mass transfer toward a solid sphere is investigated in the region of Peclet numbers 1Pe1000. Diffusion flow in the presence of a first-order chemical reaction is calculated and the relaxation time of the steady regime as a function of the Peclet number is determined.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 30, No. 1, pp. 73–79, January, 1976.     

Mass transfer from a single bubble to the dense phase of a fluidized bed at large peclet numbers

Possible modes of mass exchange between a growing bubble and the dense phase under conditions of predominance of convective transfer are discussed.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 38, No. 2, pp. 201–210, February, 1980.     

Mass transfer in the chemical interaction of a solid with a moving liquid,complicated by the evolution of a gas phase

The mass transfer taking place during the interaction of a spherical solid with a moving liquid is analysed for the case in which a gaseous reaction product is also evolved.     

Mass transfer at a moving particle in a fluidized bed of coarse material

An experimental study has been made of mass transfer to a moving particle in the fluidized bed of coarse inert material. The experimental results are presented in terms of dimensionless relationships.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 47, No. 2, pp. 235–242, August, 1984.     

Effects of suction on heat and mass transfer along a moving vertical surface in the presence of chemical reaction

Heat and mass transfer effects on a continuously moving vertical surface with chemical reaction of first order is considered. The velocity and concentration profiles are studied for different parameters like Schmidt number, Prandtl number and Chemical reaction parameter. It is observed that the velocity and concentration increases during generative reaction and decreases in destructive reaction.     

Effect of a homogeneous chemical reaction on heat transfer

Heat and mass transfer processes are investigated in the presence of homogeneous physico-chemical conversions of a substance.Institutes of Mathematics and Mechanics, Academy of Sciences of Turkmenistan, Ashkhabad. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 64, No. 6, pp. 734–739, June, 1993.     

Mass transfer during extraction of sulfur from a layer of sulfur ore

A rather simple method has been developed for determining the process time of almost complete (98%) sulfur extraction from a layer of sulfur ore, as a function of the ore properties and of the layer length.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 21, No. 3, pp. 447–451, September, 1971.     

Mass transfer in a moving drop when it periodically collides with a hard surface

The article describes an experimental study of mass transfer in a moving drop which periodically collides with a hard surface. An empirical formula for calculating the coefficients of mass exchange within the drop is obtained.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 26, No. 5, pp. 908–913, May, 1974.     

Mass transfer from a single gas slug

The process of mass transfer from a single gas slug to the liquid is investigated experimentally and theoretically. The mass transfer and hydrodynamics of flow over a slug are represented visually.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 48, No. 4, pp. 533–538, April, 1985.     

Mass transfer during extraction of a solid substance from a mixture of polydisperse porous particles

Mass transfer during the extraction of a solid soluble phase from a mixture of polydisperse porous particles is considered. Equations are obtained which permit prediction of the kinetics of the extraction.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 33, No. 4, pp. 622–626, October, 1977.     

Coupled problems of mass transfer between semi-infinitely large regions during a chemical reaction of the second order

By the method developed in an earlier study [1], an asymptotic expression (at times t ) is derived here for the rate of mass transfer at the boundary between media when in one of them there takes place a chemical reaction of the second order.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 5, pp. 916–919, November, 1980.     

Inertia effects for slow forced scalar transfer from a sphere

Summary The effect of small, but nonzero Reynolds number on forced scalar transfer from a spherical particle is considered. The analysis applies to the case of low Peclet number Pe and requires a Prandtl/Schmidt number of order one. For a droplet it is shown that a) inertia does not effect the average transfer before terms of order Pe² and that b) the indirect effect of inertia, namely that due to drop deformation can be neglected at this order. The way in which these results were obtained makes it possible to apply them for encapsulated droplets and rigid spheres in slip flow, too.With 2 Figures     

Pressure distribution around a single bubble moving in a fluidized bed

Results are presented on the pressure distribution within a bubble and around it, the bubble being in a fluidized bed.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol.21, No. 6, pp. 998–1004, December, 1971.     

Mass transfer during filtration in a porous medium with a soluble skeleton

An exact solution is obtained for the problem of the washing of a porous halfspace in a diffusion-free arrangement. An investigation is made of the characteristic features of mass transfer during the filtration of an active liquid.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 60, No. 6, pp. 942–946, June, 1991.