Research Article

?n the Analysis of Certain Flotation Processes with Velocities Depending on Time and Height of the Column

Daniela D. Parashkevova
University of Mining and GeologyS t. I. Rilski”, Bulgaria
* Corresponding author
DOI icon 10.24018/ejeng.2021.6.6.2559

Read Counter
302

Downloads
316

Citations

Share

Article Sidebar

Submitted 2021-08-17
Published 2021-09-07

Read counter = 302 times

Table of Contents

Article Main Content

— The present paper is an extension of the previous paper of the author where the flotation column dynamics has been investigated. Here we consider the case when particle sedimentation rate and bubble lifting speed depend on time and position in the column. We use the methods for examining the transmission lines set out in the papers mentioned in the References. We formulate a mixed problem for the system describing the processes in the column and present it in a suitable operator form. Then we prove an existence - uniqueness of generalized solution by the fixed point method. We show an explicit approximated solution as a step in the sequence of successive approximations.

Keywords: Camera flotation, Fixed point method, Hyperbolic system, Successive approximations

References

  1. D. D. Parashkevova. (November 2020). On the qualitative analysis of certain flotation processes. IJESRT. 9(11). pp. 91-99. DOI: https://doi.org/10.29121/ijesrt.v9.i11.2020.12.
     Google Scholar
  2. Yu. B. Rubinstein, Yu. A. Filippov, Flotation Kinetics, Moscow, 1980 (in Russian).
     Google Scholar
  3. V. G. Angelov, A Method for Analysis of Transmission Lines Terminated by Nonlinear Loads. Nova Science, New York, 2014.
     Google Scholar
  4. V. G. Angelov, Lossy transmission lines with Josephson junction - continuous generalized solutions. Communication in Applied Analysis, 20 (2016), pp. 91-106.
     Google Scholar
  5. V. G. Angelov, Polynomial Nonlinearity in Superconducting Lossless Transmission Line Equations. Journal of Robotic and Mechatronic Systems, vol.1, No.1, (2016), pp. 1-9.
     Google Scholar
  6. V. G. Angelov. (October 2019). Nonlinear Membrane Circuit Loaded on a Lossy Transmission Line without the Heaviside’s Condition. European Journal of Engineering Research and Science. 4(10). pp. 190-197. DOI: https://doi.org/10.24018/ejers.2019.4.10.1583.
     Google Scholar