Open Access?n the Analysis of Certain Flotation Processes with Velocities Depending on Time and Height of the Column
Author(s) -
Daniela D. Parashkevova
Publication year - 2021
Publication title -
european journal of engineering and technology research
Language(s) - English
Resource type - Journals
ISSN - 2736-576X
DOI - 10.24018/ejeng.2021.6.6.2559
Subject(s) - uniqueness , column (typography) , extension (predicate logic) , sequence (biology) , operator (biology) , position (finance) , mathematics , point (geometry) , set (abstract data type) , transmission (telecommunications) , mathematical analysis , computer science , geometry , chemistry , telecommunications , biochemistry , finance , repressor , connection (principal bundle) , transcription factor , economics , gene , programming language
— 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.