Abstract <p> A method for calculating the behavior and formation of smoke particle agglomerates incrossed ultrasonic fields is proposed. The proposed method takes into account: the convergence ofagglomerates with allowance for the moments of flow forces from the gas flow, the rotation ofagglomerates due to the moments of forces from the flow around the gas flow, and a phase shiftbetween ultrasonic cross fields, leading to the rotation of the resulting vibrational velocity vectorand, consequently, to an increase in the effective collision cross-sectional area due to the rotationof the agglomerates. A description of the morphology and position of agglomerates is constructedwhen representing the agglomerate as a solid body, typical for solid-phase aerosols in the form ofsmoke. An equation for the dynamics of translational and rotational motion of an agglomerate isobtained taking into account the interaction of particles. The statement about the presence ofrotational motion with a limited angular velocity proportional to the sound pressure level isproven, with a phase shift of cross fields equal to 90 deg. By means of numerical experiments acritical value of the phase shift angle is established at which the pseudo-rotational motion (changein the rotation angle in a limited range the width of which is less than 180 deg) transforms intorotational motion (the agglomerate makes a full revolution through 360 deg). The critical phaseshift depends (weakly) on the sound pressure level and ranges from 82 to 85 deg. The transition torotational motion increases the efficiency of forming larger agglomerates due to an increase in theaverage cross section during particle collisions, caused by the difference in the sizes of agglomeratesalong different axes. It was established that for the practical implementation of increasing theefficiency of smoke deposition, the most appropriate and feasible is ultrasonic action in cross fieldswith a frequency difference much lower than the fundamental frequency (from approximaterly 100to 200 Hz). Such action is much easier to implement compared to maintaining a constant phaseshift between the cross fields and increases the collision cross-sectional area up to several times.</p>

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Numerical Model of the Influence of Ultrasonic Crossed Fields on the Formation of Smoke Particle Agglomerates

  • R. N. Golykh,
  • A. V. Shalunov,
  • V. N. Khmelev,
  • P. D. Danilov

摘要

Abstract

A method for calculating the behavior and formation of smoke particle agglomerates incrossed ultrasonic fields is proposed. The proposed method takes into account: the convergence ofagglomerates with allowance for the moments of flow forces from the gas flow, the rotation ofagglomerates due to the moments of forces from the flow around the gas flow, and a phase shiftbetween ultrasonic cross fields, leading to the rotation of the resulting vibrational velocity vectorand, consequently, to an increase in the effective collision cross-sectional area due to the rotationof the agglomerates. A description of the morphology and position of agglomerates is constructedwhen representing the agglomerate as a solid body, typical for solid-phase aerosols in the form ofsmoke. An equation for the dynamics of translational and rotational motion of an agglomerate isobtained taking into account the interaction of particles. The statement about the presence ofrotational motion with a limited angular velocity proportional to the sound pressure level isproven, with a phase shift of cross fields equal to 90 deg. By means of numerical experiments acritical value of the phase shift angle is established at which the pseudo-rotational motion (changein the rotation angle in a limited range the width of which is less than 180 deg) transforms intorotational motion (the agglomerate makes a full revolution through 360 deg). The critical phaseshift depends (weakly) on the sound pressure level and ranges from 82 to 85 deg. The transition torotational motion increases the efficiency of forming larger agglomerates due to an increase in theaverage cross section during particle collisions, caused by the difference in the sizes of agglomeratesalong different axes. It was established that for the practical implementation of increasing theefficiency of smoke deposition, the most appropriate and feasible is ultrasonic action in cross fieldswith a frequency difference much lower than the fundamental frequency (from approximaterly 100to 200 Hz). Such action is much easier to implement compared to maintaining a constant phaseshift between the cross fields and increases the collision cross-sectional area up to several times.