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

Abstract

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.

Design and Multi-objective Optimization of Vibro-Pneumatic Separator for Paddy Pre-Cleaning using RSM

“…Several research have been proposed in term of separation process optimization using pneumatic separation approach [5][6][7]. An analysis on the setup parameter of pneumatic separator design on the separation efficiency and losses has been proposed [8].…”

Mathematical Modeling of Particle Terminal Velocity for Improved Design of Clarifiers, Thickeners and Flotation Devices for Wastewater Treatment

“…It is interesting to note that calculation of particle terminal velocity is a matter of interest in other sectors of engineering and technology, in addition to clean technologies; these include the processing sector (drying, freezing, etc.) and transportation using fluidized beds [8][9][10][11][12]. Scientific researchers have also investigated the flotation [13] and sedimentation of particles immersed in non-Newtonian fluids using relative experimental and/or numerical studies of their terminal velocities [14,15].…”

To the Theory of Grain Motion in an Uneven Air Flow in a Vertical Pneumatic Separation Channel with an Annular Cross Section

“…There are ways to introduce material by a cascade of inclined guide trays and to throw grains into the channel by a rotary drum with blades [20][21][22]. However, the use of the above method does not exclude the intersection of the trajectories of movement of the grains of the heavy fraction with the trajectories of the movement of light fractions.…”