scholarly journals Parameters of the seed output device of the ergot isolation machine

2021 ◽  
Vol 244 ◽  
pp. 03015
Author(s):  
Viktor Saitov ◽  
Vyacheslav Farafonov ◽  
Aleksey Saitov
Keyword(s):  
Mathematical Modeling ◽  
Aqueous Solution ◽  
Residence Time ◽  
Classical Mechanics ◽  
Aqueous Salt Solution ◽  
Theoretical Studies ◽  
Air Flow Rate ◽  
Atmospheric Air ◽  
Output Device ◽  
Linear Dimensions

Grains of rye, wheat, barley and oats are often infected with poisonous ergot fungi. Therefore, it is necessary to clean the grain from harmful impurities. Modern machines do not provide the isolation of ergot sclerotia from grain due to the closeness of their properties in terms of air flow rate and linear dimensions. Cleaning seeds from ergot sclerotia, which have a density lower than the density of the grain, is possible in an aqueous solution of salt. When developing such a machine, research is required to study the residence time of grain in an aqueous salt solution. Grains are considered in the form of a transverse cylinder and an elongated ellipsoid of rotation with numerical values of the parameters: density ρz = 1.2…1.5∙103 kg/m3, length lz = 5.0…10.0∙10-3 m, width b = 1.4…3.6∙10-3 m and thickness δ = 1.2…3.5∙10-3 m. Theoretical studies were carried out on the basis of methods of mathematical modeling, classical mechanics using the laws of hydrodynamics. It was found that when using in the machine for the isolation of toxic ergot sclerotia from the grain of an aqueous solution of salt with a density ρzh = 1000…1150 kg/m3 and a height h1 = 0.35…0.60 m in a bath, the total time ttotal of seeds residence varies within 7.6…18.8 s. During this time, the seeds are moistened superficially, to eliminate which it is enough to blow them under the pressure of atmospheric air.

scholarly journals Influence of the angle of the bath bottom inclination in ergot isolation device on grain immersion in a liquid

2020 ◽  
Vol 164 ◽  
pp. 06004
Author(s):  
Viktor Saitov ◽  
Vyacheslav Farafonov ◽  
Aleksey Saitov
Keyword(s):  
Mathematical Modeling ◽  
Aqueous Solution ◽  
Classical Mechanics ◽  
Geometric Models ◽  
Extraction Device ◽  
Isolation Device ◽  
Inclined Surface

For the mechanization of the allocation of toxic ergot from the rye seeds in a wet way, the urgent issue is the development of a device containing a bath with an aqueous solution of salt. The aim of the study is to determine the influence of the angle of inclination of the bottom of the bath on the rate of immersion of grains in the fluid of the device for separating ergot from rye seeds, which will ensure the efficiency of the process. Theoretically, we consider the movement of individual rye grains along the inclined surface of the bottom of the bath of the ergot extraction device. Rye grains have a density ρz = (1.2...1.5)·103 kg/m3, a length lz = (5.0. 10.0)·10-3 m, a width b = (1.4...3.6)·10-3 m, and a thickness δ = (1.2 3.5)·10-3 m. Geometric models of these grains are presented in the form of cylindrical and spheroidal grains. The movement of grain on the surface of the bottom of the bath of an ergot extraction device is considered at angles of inclination α = 27, 30, 40, 50, 60, 70, 80, and 90 degrees by the methods of mathematical modeling, classical mechanics using the laws of hydrodynamics. It was established that the angle α of the slope of the surface of the bottom of the bathtub to the horizontal should be taken at least 650, at which accumulation is excluded due to the rapid rolling of the grain and a decrease in the thickness of its layer.

scholarly journals The Non-Stationary Metal Vapour Arc

1973 ◽  
Vol 28 (3-4) ◽  
pp. 428-437
Author(s):  
G. Ecker
Keyword(s):  
Residence Time ◽  
Critical Currents ◽  
Theoretical Studies ◽  
Velocity Dependence ◽  
Metal Vapour ◽  
Energy Characteristics ◽  
Upper Limit ◽  
Physical Background ◽  
Experimental And Theoretical Studies ◽  
Spot Motion

AbstractThe motion is depicted as a sequence of steps of a finite residence time.The spot motion affects essentially only the energy characteristics Te which in comparison to the stationary characteristics Tes are shifted to smaller values. Hereby the critical currents I0, I1 are raised in comparison to the corresponding stationary limits I0s, I1s. Particularly attractive are the phenomena found in connection with the dependence of the spot velocity ʋ on the spot current I. If the spot velocity increases with the spot current stronger than ʋ ∞ I1/2 then the E-diagram reveals the existence of an upper limit lu for the spot current. This result can be used to explain qualitatively the experimentally observed phenomena of "spot multiplicity" and “spot extinction”.Quantitative conclusions are obstructed by the lack of knowledge about the velocity dependence on the spot current, ʋ(I). Experimental and theoretical studies to provide a better understanding of the physical background and the analytical laws describing the motion of the cathode spots are urgently needed.

Mathematical modeling of fluid movement inside the eyeball during intravitreal injection

2021 ◽  
pp. 106-109
Author(s):  
D.V. Lipatov ◽  
◽  
S.A. Skladchikov ◽  
N.P. Savenkova ◽  
V.V. Novoderezkin ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Residence Time ◽  
Complex Structure ◽  
Posterior Vitreous Detachment ◽  
Vitreous Body ◽  
Complete Removal ◽  
Intravitreal Injections ◽  
The World

Background. The avalanche-like growth of intravitreal injections in the world has significantly increased interest in the hemodynamics of the processes that occur in the eye when a drug is injected into the vitreous cavity. Every year, the number of intravitreally used drugs and promising areas in which they can be used is growing. This also applies to the creation of new combined medicines and the development of drugs with a long-term therapeutic effect. Aims. Create mathematical model of eyeball to evaluate the movement of the drug substance in it; to estimate the time of the drug's presence in the eye cavity before its complete removal, to characterize the ways of its removal from the eye cavity; to assess the significance of posterior vitreous detachment during the time when the drug is present in the eye cavity; to evaluate the effect on the hydrodynamics of the depth of drug administration. Results. When the drug is administered closer to the center of the eyeball, its residence time increases in comparison with the parietal administration. With a complete posterior detachment of the vitreous body, the time of finding the drug in the eye is prolonged compared to its absence. The obtained results of mathematical modeling of the movement of the drug administered intravitreally cannot be mechanically transferred to the human eye, due to the more complex structure of the latter. Key words: intravitreal injections, vitreous body, mathematic computing.

Weyl–Euler–Lagrange equations on twistor space for tangent structure

2016 ◽  
Vol 13 (07) ◽  
pp. 1650095
Author(s):  
Zeki Kasap
Keyword(s):  
Mathematical Modeling ◽  
Dynamical System ◽  
Classical Mechanic ◽  
Twistor Space ◽  
Equations Of Motion ◽  
Classical Mechanics ◽  
Equation System ◽  
Lagrange Equations ◽  
Four Manifolds ◽  
Riemannian Geometries

Twistor spaces are certain complex three-manifolds, which are associated with special conformal Riemannian geometries on four-manifolds. Also, classical mechanic is one of the major subfields for mechanics of dynamical system. A dynamical system has a state determined by a collection of real numbers, or more generally by a set of points in an appropriate state space for classical mechanic. Euler–Lagrange equations are an efficient use of classical mechanics to solve problems using mathematical modeling. On the other hand, Weyl submitted a metric with a conformal transformation for unified theory of classical mechanic. This paper aims to introduce Euler–Lagrage partial differential equations (mathematical modeling, the equations of motion according to the time) for the movement of objects on twistor space and also to offer a general solution of differential equation system using the Maple software. Additionally, the implicit solution of the equation will be obtained as a result of a special selection of graphics to be drawn.

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