A new calculation procedure for the power possibility of transferring a free bubble A of shape β = 0 into a bubble M of shape
β < 0, which is adhered to a substrate-particle, namely transfer А → М (TAM) is described. A criterion is entered into the calculation
thus allowing us to avoid the error that has been supposed earlier in determining A bubble volume (VА) with the use of selected
volume (VМ) of M bubble. Thanks to the criterion it has been found that accepted earlier equation VA = VM at the moment
of TAM is admissible only for relatively large bubbles, and for diameters < 20÷30 μm the bubble A at the moment of adhesion
expands to VМ approximately by a 10-million part of its initial value. The calculations show when bubble A decreases, an increment
of its volume grows symbately in TAM, and the threshold energy decreases antibately on the way of TAM to hydrophilic
surfaces. The decrease reaches value zero or become negative for bubbles <1 μm. The obtained results allow us to regard that
gas capillary pressure in a bubble is a factor of TAM process intensity. It is noted that precision calculations of TAM can be carried
out only based on the results of numerical solution of Laplace equation, which have been presented in the form of Bashfort and
Adams tables beginning in 1883. A new alternative of the table of such type with a numerical instance of its application to the
solution of the floatation problem is given

The results of experimental investigations related to cementation extraction of tin in the dispersion form from sulfate solutions are described. The dependence of stationary aluminum potential on chlorine ion concentration in sulfate solution of divalent tin is shown. The polarization measurements of electrode processes of the Al–Sn galvanic cell have been carried out. The cementation conditions dependence of the dispersivity and bulk density of tin powder is established

From the results of reduction smelting of agglomerated cakes from leaching mixtures of greasy mill scale (GMS) with 75 and 100 % of red mud (RM) and fired pellets made from these agglomerated cakes, the possibility of selective separation of Fe, P and Ga in pig iron, and Al2O3, TiO2, Sc2O3 – in slag suitable for cement production has been established. We found that, depending on the melt holding period (20–60 min at temperature of 1620 °C), the following elements (in %): 98 Fe, 22–66 Si, 1 S, 99 P, 11–20 Ti, 98–99 Ga pass into pig iron. The compounds (in %): 95–99 Al2O3, 55–65 SiO2, 88–90 TiO2, 98–99 Sc2O3 are concentrated
in the slag. The process flow diagram of GMS and RM joint utilization has been developed.

From the results of reduction smelting of agglomerated cakes from leaching mixtures of greasy mill scale (GMS) with 75 and 100 % of red mud (RM) and fired pellets made from these agglomerated cakes, the possibility of selective separation of Fe, P and Ga in pig iron, and Al2O3, TiO2, Sc2O3 – in slag suitable for cement production has been established. We found that, depending on the melt holding period (20–60 min at temperature of 1620 °C), the following elements (in %): 98 Fe, 22–66 Si, 1 S, 99 P, 11–20 Ti, 98–99 Ga pass into pig iron. The compounds (in %): 95–99 Al2O3, 55–65 SiO2, 88–90 TiO2, 98–99 Sc2O3 are concentrated
in the slag. The process flow diagram of GMS and RM joint utilization has been developed.

The regularities of nickel sorption process from hydroxide pulps with the help of amino carboxylic cationites ANKB-35, S 930 and TP 207 have been examined. Kinetic curves and sorption isotherms for the given cationites are plotted. It is determined that the nickel sorption process from pulps is expedient for carrying out at рН = 4÷5. Nickel desorption process from cationites has been studied. The ТР 207 cationite is shown to have the maximum sorption capacity.

The regularities of nickel sorption process from hydroxide pulps with the help of amino carboxylic cationites ANKB-35, S 930 and TP 207 have been examined. Kinetic curves and sorption isotherms for the given cationites are plotted. It is determined that the nickel sorption process from pulps is expedient for carrying out at рН = 4÷5. Nickel desorption process from cationites has been studied. The ТР 207 cationite is shown to have the maximum sorption capacity.

Cu–Mg (0,1–1,0 %) alloy billet production process has been developed where continuous melting and continuous horizontal molding are realized in one melting-casting facility. In this case, the melt refining and homogenizing treatment is carried out continuously during the melting and casting time. The accepted technical solutions allow us to overcome the difficulties in magnesium precise content provision; eliminate high segregation in the melt; neutralize high surface activity of magnesium and its oxidation susceptibility; stabilize magnesium recovery from ligature and minimize the melt contamination with products of it oxidation; reach the deep metal refining from gases and nonmetallic inclusions; homogenize the melt in the chemical composition and provide obtaining high-quality billets.

By means of the theoretical analysis and based on the experimental data, the part of the Cu–Ni–Mn structural diagram from 0 to 20 % Ni and from 30 to 50 % Mn has been specified. The supposition, which is contained in a number of works, of the existence in the ternary Cu–Ni–Mn state diagram of the line, along which the zero crystallization range alloys are arranged, is shown to be incorrect. The alloys in the double Cu–Mn and Ni–Mn systems have the zero crystallization range only. The primary supposition of impossibility to present nonequilibrium crystallization according to Petrov–Scheil with lacking of the minimum line in the Cu–
Ni–Mn system has not been confirmed because formerly the investigations were carried out with a model system in which there observed a convex line of the liquidus curve on the polythermal cross-section joining the minima in the double systems. The present work shows this line that is concave towards the temperature decrease.

Radial-shear rolling is prominent in production of titanium alloys at «VSMPO-AVISMA» Open Society (V. Salda city) and has a number of advantages over other plastic metal working processes. In the present investigation on the basis of engineering design procedures, a complex of software has been developed for forming simulation and heat transfer in the metal volume,and with its help the rolling of VT-6 alloy bar of 155 mm in diameter has been studied. «ThermoRSR» program has been developed that allows us to visualize design data in «Mathcad» medium; rolling process simulation has been carried out by means of DEFORM-3D package; and the conditions of its application are shown. Prospective ways of rolled stock temperature and rolling torque measurement are considered.

The method of direct visual study in situ by means of light microscope LEICA-L2 was used for examination of the channel development kinetics for bismuth melt through penetration along grain boundaries and triple joint group of grains in thin (from 120 to 500 μm) polycrystalline copper samples. Copper (99,995 wt.%) and bismuth (99,999 wt.%) were used as initial metal materials for the studies. Copper samples had average grain size of 30–50 μm. In their studying after holding in contact with bismuth melt at temperatures of 490–600 °C, the photographic images showing the Bi penetration through Cu-plates as well as the image of liquid metal channel network on cross-sections of samples have been obtained. Temperature dependence of melt penetration rate through polycrystalline copper plates and the effective activation energy of Bi penetration process along grain boundaries are obtained.

The method of mathematical simulation has been used for examination of the effect of relationship of thermal time lag of the container (with stock material and fill) and susceptibility of the control system on the temperature pattern of stock material for obtaining artificial graphite; also the effect of computational time step value in time (Δτ) on the results of mathematical simulation has been studied. The results of simulation at any fill bed thickness are shown not to depend practically on Δτ for infinitelyfast system for control of roasting furnace, and at finite susceptibility of the control system the temperature oscillations, being generated by the system with decreasing thermal time lag of the container (fill bed depth), penetrate ever deeper and deeper inside it, however you can detect it with help of computational method only at small Δτ – because big time steps show smoothed pattern with monotonous trends that corresponds to the reality only at significant fill bed depth. The degree of convergence of iteration calculation algorithm is high enough if Δτ is significantly more or significantly less than the period of modeled periodic processes; if these values are of the same order the algorithm can run into a cyclic path or the demanded amount of iterations can increase by some orders.

Some problems of correlation approach application to deciding the task of identification of control objects in closed control systems have been considered. The object identifiability conditions for typical control modes are formulated. Obtained as a result of solving the task of identification, the estimation of object and filter parameters can be used in the synthesis of closed control systems and the adjustment of regulators in the course of normal running.