Mathematical modeling of the grain material separation in the pneumatic system of the grain-cleaning machine

Badretdinov, Ildar; Мударисов, Салават; Tuktarov, M.F.; Dick, Elizabeth; Arslanbekova, Svetlana

doi:10.5937/jaes17-22640

Cited by 45 publications

(26 citation statements)

References 8 publications

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“…Still, their papers exhibit a similar lack of possibility of broader application. More theoretically minded exploratory studies by Panasiewicz et al [9], who focused their attention on several cultivars of lupin, and Badretdinov et al [18], who provided both a description of the general circulation model and a visualization of velocity trajectories, have likewise failed to account for one or more crucial aspects of modeling particle separation and movement. As described in the introduction, Badretdinov's lack of accounting for the angle of introduction of the material into the stream was amended by Stepanenko and Kotov [19], who illustrated their results with a graph of the trajectories for three values of air velocity (7.3 m/s, 9 m/s, and 11 m/s).…”

Section: Discussionmentioning

confidence: 99%

“…Although the authors declared that their results allowed the calculation of the pneumatic parameters for various constituent particles, they did not provide any examples of such. A much better theoretical background is to be found in Badretdinov et al [18], who provided a description of a general circulation model (GCM) as a complex system of multi-dispersionary two-phase air-solid flow, accounting for gravity, friction, and drag forces, but did not account for the angle of introduction of the material into the stream. This was amended by Stepanenko and Kotov [19], who proposed a model of interaction between the particle and mass flow, expressed in terms of a set of differential equations, but did not describe the solid particle.…”

Section: Introductionmentioning

confidence: 99%

“…Inserting Equations (18) and (19) into Equations (16) and (17), they may be reduced to a single equation, which can be further simplified by using the critical (terminal) velocity formula in Equation 1:…”

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confidence: 99%

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A Model of Transport of Particulate Biomass in a Stream of Fluid

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The motion of a solid particle introduced into a stream of fluid is a crucial problem in the contexts of pneumatic transport and the purification and separation of non-uniform mixtures. However, the complexity of the underlying equations of motion enforces the creation of semi-empirical models. Therefore, analysis of particle motion in a pneumatic channel was performed. To reduce the number of independent variables, several simplifying assumptions were made in regard to both the particle and the stream. The resulting model provides trajectory equations for a particle introduced into the stream at given values of the initial angle and initial velocity, which are then solved using numerical integration methods. A hodograph function was formulated on the basis of the Runge–Kutta and NDFs methods to test the correctness of the solutions under various initial parameters and to provide a universal method of solving the equations of motion. To verify the model, terminal velocities were measured and particle trajectories recorded using an original experimental stand. The predictions of the model were subsequently compared to these empirical trajectories and were found to fall within the range of uncertainty.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Model of Transport of Particulate Biomass in a Stream of Fluid

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“…Air flow is frequently used to separate seeds because pneumatic devices have a simple structure and are easy to operate. [23,24]. Seeds are also dried, aired, and transported by a stream of air.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Selected Factors on Separation Efficiency in a Pneumatic Conical Separator

et al. 2020

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Pneumatic separation is one of the available methods for cleaning seed mixtures. Variously shaped seeds, including spherical (vetch), elongated (wheat), and pyramid-shaped seeds (buckwheat), were analyzed in this study. A seed mixture containing 80% of main crop seeds and 20% of other crop seeds imitating impurities was separated in a pneumatic separator with the shape of an inverted cone in a stream of air. The regression equations describing the separation efficiency of the main crop seeds and other crop seeds imitating impurities (η) and the separation efficiency index (ε) were characterized by high and very high fit to empirical data. The coefficient of determination for the analyzed seed mixtures ranged from 0.71 to 0.99. The conical separator supported effective separation of seed mixture components in a stream of air.

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“…The use of air and screen indented surface separator, pneumatic sorting tables, photo separators and other devices does not give positive results when cleaning grain material from ergot due to the closeness of its properties and the properties of the culture being cleaned [6,7,8,9,10,11,12].…”

Section: Introductionmentioning

confidence: 99%

Study of ergot isolation from rye in an aqueous salt solution

2020

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The aim of the research is to determine the effectiveness of ergot isolation and to estimate grain losses in waste when the cereal material is immersed in the stream material in water and an aqueous solution of salt of different densities ρzh from the specific grain load gsp. Practical experiments were carried out by feeding grain material of winter rye of Falenskaya 4 variety with a moisture content of 14% from a height of h = 60∙10-3 m into water and an aqueous solution of sodium chloride (NaCl) with a density of 1030, 1060, 1090, 1120, 1150 and 1180 kg/m3. The variation of the specific grain load gsp was carried out according to the values of 0.674; 1.469; 2,871; 4.449 and 7.221 kg/(s∙m), which corresponded to the opening of the outlet window of the bunker of the experimental setup 10.0; 15.0; 20.0; 25.0 and 30.0∙10-3 m. The temperature of ambient air, water and an aqueous solution of salt was 200C. It has been established that the density ρzh of an aqueous salt solution has a greater influence on the result of the technological process than the specific grain load gsp. At a density ρzh of the aqueous solution of the salt of 1150 kg/m3, there is a 100% emergence of ergot sclerotia on the surface of the solution, and the losses of the PZ grain to the waste do not exceed 2,52%, which corresponds to the agrotechnical requirements for the final grain cleaning machines.

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Mathematical modeling of the grain material separation in the pneumatic system of the grain-cleaning machine

Cited by 45 publications

References 8 publications

A Model of Transport of Particulate Biomass in a Stream of Fluid

A Model of Transport of Particulate Biomass in a Stream of Fluid

The Effect of Selected Factors on Separation Efficiency in a Pneumatic Conical Separator

Study of ergot isolation from rye in an aqueous salt solution

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