Version 4. Last update 18 May of 2020

Instead of introduction

  • This report describes shortly the contents of project investigations, provided due to quarter periods. The report of last quarter is placed at the top. Previous reports are placed below; the first one is at the bottom.
  • All quarter investigations correspond to activity, mentioned in ERDF project documents: timesheet and common plan of work.

Some notations:
EIVF – abbreviation of “Electrically Induced Vortical Flows”
EVF – abbreviation of “Electrovortex flow (s)”, - shortened name of EIVF, that is often used in science articles

J – current density,
B – self magnetic field of the current,
F = J x B – EM force field,
Rot F – rotor of EM force field,
V – velocity vector,
T – temperature,
EM – electromagnetic
MP – magnetic field

3D – three-dimensional task
Quasi 2D – quasi two-dimensional task
Galinstan – liquid metal alloy of Gallium, Indium and Stannum, - electro-conductive, cold
media that is used for a physical modelling
DC EAF – direct current electrical arc furnace
MOU – Memorandum of Understanding, (an arrangement)

JIHT – Joint Institute of High Temperature (Moscow)
LU – Latvian university (Riga), the Leading Partner in ERDF project
JSC LATVO – joint stock company LATVO (Riga) – a Partner of LU in ERDF project
MSU – Moscow State University

SE1, SE2, SE3 – 1st, 2nd and 3rd tasks about EIVF near two Submerged Electrodes

The 1st quarter of 2020

During the 1st quarter of 2020 the main attention was related to
   1) Finalizing a half-year ERDF report
New investigations
   2) Providing the full-scale experiment on
        a. Measurements of 3D electrical potential and MP (for tasks SE1 and SE2) at two symmetry planes
        b. Measurements of EM fields at specific predefined places for following calculations of ROT (F) values from experimental date
        c. Making some short test video films of flow pattern on free surface under various values of common current
   3) Making tasks refinements for:
        a. SE1 – providing test experiments and testing computational and theoretical analysis methods
        b. SE2 – full gotten results processing; additional tasks were formulated about a) the role of electrodes’ electro-conductivity and b) the possibility of velocity estimations from gotten video films
   4) Task SE1 processing
        a. Providing all required computations and visualizations
        b. A comparison of all calculated and measured EM fields
        c. Calculation of all EM fields by using quasy-2D math model; comparison of 2D model results with both computed and measured data.
     d. Writing and sending a full-scale science article (7 pages) for a V International Conference “Advanced Problems of Electrotechnology” (APET2020), Yekaterinburg, Russia, May 20-22, 2020, (, 6 co-authors: LATVO(1), LU(2) and JIHT(3). The name is “An electrovortex flow around two fully submerged electrodes”. The context reflects a task SE1. A confirmation was gotten from org committee. *

Preparations of other publications
   5) Writing and sending an extended abstract (1 page) for European Academic Symposium on EAF Steelmaking (EASES), Aachen University in Aachen, Germany, May 13-15, 2020, (, 1 author: LATVO. The name is “The MHD stirring of melts in EAF technologies”. The content includes a common review of stirring patterns for various EAF aggregates. An abstract was approval by organizing committee for a presentation as an oral report. The invitation was gotten *
   6) Writing and sending an extended abstract (4 pages) for 10th International symposium on Turbulence, heat and mass transfer (THMT20), St. Petersburg, Russia, July 07-10, 2020, (, 2 co-authors: MSU and LATVO. The name is “Asymptotic solution for the electrovortex flow between two planes in axisymmetric case”. The content describes a theoretical investigation of self-modelling EIVF in a Karman class in linear (Stokes) and small-nonlinear solutions. Confirmation was gotten and invitation to take part with poster presentation. *
   7) Writing and sending an extended abstract (2 pages) for XIX International UIE Congress on Evolution and New Trends in Electrothermal Processes” (UIE2020), Pilsen, Czech Republic, September 09-11, 2020, University of West Bohemia, (, 3 co-authors from LATVO(1) and LU(2). The name is “Melt Electrovortex Flow in DC EAF with Two Bottom Electrodes in Axial Magnetic Field”. The content describes a 3D EIVF patterns for a model of DC EAF with two built-in bottom electrodes. An abstract was gotten by org committee, but further information was stopped. *
   8) * Remark. Based on the present situation in the world, all mentioned four conferences (and related publications) were postponed approximately to one year.

The 4th quarter of 2019

During the 4th quarter of 2019 the main attention was related to

   1) The preparation of experimental equipment was done. It included:
       a. The physical model implementation and installation on work table
       b. A sensor for measurement of electrical potential (a scalar field)
       c. The 3D- sensor for measurement of three components of MP
       d. An electronic device for automatic registration of measured MP
       e. 3D coordinates mechanism with stepped motors with control system
       f. A specific program was written for automatic control of sensors moving (through a grid, developed by Riga)
       g. The source and DC power supply equipment with system of common current and required voltage control were done
       h. The system for control of noise level during measurements
       i. The common system test and tuning were provided
   2) The task formulation was pre-agreed in several discussions
   3) The test experiments were done with measuring of 3D
       a. electrical potential (Scalar function)
       b. magnetic field (three components)
   4) Test experiments were provided by two science researchers of JIHT with participation of JSC LATVO leader researcher.
   5) The processing of gotten experimental data was done in Riga
   6) Test computations of related EM 3D fields – J, B, F and rot F, – was done in LU
   7) A comparison of measured and computed test data was provided in Riga with regular consulting with JIHT team and LU team.
   8) A quasi-2D math model of EM fields were built for additional comparison with measured and computed data.
   9) A visualization technic was developed for graphical implementation of all 3D fields, measured, computed and calculated by quasi-2D model

Some other important issues
   10) Starting preparation of half-year report
   11) Preparation and sending a thesis to conference APET2020, (together with co-authors from JIHT). Approval and invitation to take part in a conference was gotten in 15th of December
   12) The review of detailed plan for the next quarter was done: a pre-plan for hydrodynamics 3D patterns calculation and visualisation was added
   13) Preparation and providing (at 30.10.2019) a lecture about EIVF on physical faculty of Moscow State University. One of the goal was getting approval for our conception and approaches to 3D EIVF investigation (both theoretically and experimentally).
   14) JSC LATVO prepared a room for a new physical laboratory in Riga.

The 3-rd quarter of 2019

   During the 3rd quarter of 2019 the main attention was related to
1) Science literature analysis in the field of various electrovortex flows.
2) The formulations of common task, required for ERDF project implementation
3) Development of detailed plan for 2019 year, changing into 2020 year

   1. Science literature analysis was provided in next directions:
     1.1. Properties of media and assumptions about basic physical effects that have to be considered in physical task formulation, or can be neglected
     1.2. Corresponded basic equations of EIVF theory
     1.3. The theory of EIVF modelling, equations reducing to dimensionless form, parameters of tasks
     1.4. Methods, sensors and devices for experimental investigations
     1.5. Methods, software, hardware and environment for computational investigations
     1.6. Some perspective measurement systems (for future possible study)
   2. The common tasks for project implementation include:
     2.1. Starting control of program package. - Experimental measurements and computations of electromagnetic fields J and B, as well as velocity V and temperature T in a EIVF on a physical model with Galinstan. Building some theoretical model of electromagnetic fields (where possible). A comparison of all corresponded data
     2.2. Investigation of some stirring effects on DC EAF by methods of physical modelling with Galinstan; building related computed model, getting results and a comparison of gotten data
     2.3. Experimental investigation of some stirring effects on real DC EAF. Building a computational model and results analysis and comparison

3. Detailed plan for 2019 year, changing into 2020 year, is described in Appendix below.

   An appendix to report of 3rd quarter of 2019, point 3: 
The plan includes basic tasks for a current and coming quarters:
     3.1. In the current, 3rd quarter of 2019:
     3.1.1. Choosing an appropriate 3D model for EIVF investigations
     3.1.2. Creating MOU with team of science researcher (from EIVF laboratory of JIHT) regarding collaboration in experimental study of EIVF in a physical model. The study will be based on mutual science interests and will be provided without financial transactions.
     3.1.3. Providing a number of discussion (by mail and WhatsApp) regarding a planned test experiments (in a 4th quarter) and related technical estimations
     3.2. In the next, 4th quarter of 2019 – preparation and providing of test experiment
     3.3. In the 1st quarter of 2020
     3.3.1. Processing of test experimental data, calculating (in LU) of corresponded data and making first comparisons. Perhaps, creating a publication
     3.3.2. Providing full experimental and computational investigation of EM field.
     3.3.3. Providing, perhaps, some other publications
     3.4. In the 2nd quarter of 2020
     3.4.1. Preparation a publication with full gotten results.
     3.4.2. Starting discussion regarding V and T measurement in the same physical model and based on results of EM fields study
     3.4.3. Adding a temperature into math and calculation models
     3.4.4. Choosing of required sensors
     3.4.5. Preparation for test calculations in LU
     3.5. In the 3rd quarter of 2020
     3.5.1. Preparation for test experiment in JIHT and calculations in LU
     3.5.2. Preparation for test experiment by p.2.2. in Riga and test calculations in LU
     3.6. In the 4th quarter of 2020
     3.6.1. Providing experiment and calculations with V and T
     3.6.2. Providing experiment and calculations by p.2.2.
     3.6.3. Preparation of project middle report

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