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Tomorrow’s Technology Today 
FIC’s Mathematical Modelling Capabilities and 
Computational Fluid Dynamics 
FIC’s international reputation 
is built not only on its being 
in the forefront of furnace 
technology development but 
also on its unparalleled 
expertise and experience 
enabling it to fulfil precisely 
a customer’s needs. 
FIC can use the very latest in 
Mathematical Modelling and 
Computational Fluid 
Dynamics to give the client 
the highest degree of 
prognosticatory accuracy 
when it comes to any facet 
of the planning of furnace 
technology and how it will 
perform. 
Whilst the Mathematical 
Modelling can optimise 
electrode location, 
transformer characteristics 
and design, our 
Computational Fluid 
Dynamics provides extremely 
accurate simulations of the 
physical, chemical and 
thermal processes which will 
take place during glass 
production. 
l Design and Build 
l Electric Furnaces 
l Electro Boost 
l High Q Holders 
l Electrode Holders 
l HVP Forehearth 
l Iso-Thermal Unit 
l Bubbler Systems 
l Electrode Maintenance Unit 
l Drains 
l Mathematical Modelling 
l Engineering Services 
The World’s 
Number One 
in Furnace Technology 
Mathematical Modelling 
n Well-proven world-wide. 
n Accurate to better than 
1%. 
n Saves money: possible use 
of existing customer 
hardware. 
n Saves money: transformer 
characteristics, voltage and 
current range ensure 
customer does not pay for 
design inefficiencies. 
n Inaccuracy in the 
determination of the 
resistivity of the glass and 
consequent transformer size 
could result in the 
transformer overheating 
and failing. 
n Critical to the design of 
any boost. 
n The ultimate in 
customising: client can view 
options to achieve objectives 
specified by client’s own 
requirements and FIC’s 
design criteria. 
Computational Fluid 
Dynamics 
n Reduces design time and 
expense: enables you to 
evaluate and optimise 
performance of several 
design concepts before a 
physical prototype is built 
and tested thus reducing the 
number of design iterations. 
n Reduces significantly 
design cycle time. 
n Helps guide other forms of 
testing, thus reducing testing 
costs. 
n Improved productivity. 
n Reduced scrap rate. 
n Immense cost-saving. 
n Reduces emissions.
FIC’s Mathematical Modelling Capabilities and 
Computational Fluid Dynamics 
The World’s Number One 
Mathematical Modelling 
A cost-saving way in which to 
optimise performance and 
efficiency, FIC’s Mathematical 
Modelling consists of a 
software programme which 
creates a highly accurate 
simulation of the electrical 
field in a spatial conductor 
with constant electrical 
conductivity. 
The integral parameter of the 
rod electrodes can be 
determined and simulation of 
several galvanically isolated 
systems is possible. 
Rod electrodes can be 
positioned in any orientation 
within the surface, e.g. 
sidewall, bottom, top or even 
at oblique angles. With minor 
adjustments to the software, 
plate electrodes can also be 
simulated. 
The maximum number of 
electrodes that can be 
simulated is 48. Individual 
electrode lengths can be 
chosen freely as can the 
electrode radii. 
It is possible to calculate the 
magnitude and phase of 
electrode currents on the 
basis of pre-defined circuits 
and the given voltages. It is 
also possible to give a tabular 
listing of the magnitude and 
phase of calculated electrode 
currents in relation to their 
corresponding reference 
voltages. 
Calculated current and 
voltage vector diagrams can 
be displayed graphically of all 
currents and voltages of 
several galvanically separated 
electrical heating circuits. 
This method can also provide 
a calculation of the 
distribution of the electrical 
power density shown in the 
form of a contour diagram. 
Although calculated in three 
dimensions, only a two-dimensional 
cross section of 
the model can be shown at 
any one time. 
The definition of the contours 
is based on the average of 
the power density which, in 
turn, is multiplied by scaling 
factors shown graphically by 
a graduated scale of colours. 
Studies can include the use of 
existing client transformers to 
establish if they can be fitted 
to a new furnace or a revised 
boost, thus saving the client 
the cost of new hardware. 
Detailed model study reports 
can be provided allowing the 
client to study various 
boosting options such as 
optimising existing systems or 
engaging in complete 
redesign. 
Computational Fluid 
Dynamics 
FIC together with its partners 
provides a very 
comprehensive suite of Flow 
Modelling Software for the 
Glass Industry enabling a 
client to study fluent models 
of every stage of the glass 
making process. This includes: 
furnaces, melters, refiners, 
forehearths and spout bowls 
as well as glass forming 
operations such as drawing, 
pressing, blowing and fibre 
production. 
The insight gained improves 
designs, boosts productivity 
and reduces considerably 
production costs and 
pollutant emissions. 
Our software is backed by 
technical support and 
consultation from engineers 
whose specialisation is the 
resolution, by simulation, of 
problems in the glass and 
furnace technology 
industries. 
It incorporates leading-edge 
numerics, algorithms and 
physical models as well as 
advanced pre-processing, 
including geometry and 
mesh-creation/import and 
post-processing (visualization) 
tools. 
The easy-to-use interface and 
unrivalled interactivity of our 
software makes it immensely 
popular among researchers, 
designers and process 
engineers alike. 
Both the systems described 
above once again underline 
FIC’s commitment to 
customer satisfaction and the 
company’s much heralded 
commitment to further 
raising the standards of both 
performance and technology 
within the industry. 
l Design and Build 
l Electric Furnaces 
l Electro Boost 
l High Q Holders 
l Electrode Holders 
l HVP Forehearth 
l Iso-Thermal Unit 
l Bubbler Systems 
l EMU 
l Drains 
l Mathematical Modelling 
l Engineering Services 
FIC (UK) Limited 
Long Rock Industrial Estate 
Penzance 
Cornwall TR20 8HX 
United Kingdom 
Tel +44 (0) 1736 366 962 
Fax +44 (0) 1736 351 198 
Email general@fic-uk.com 
Web www.fic-uk.com

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Build your next Gen AI Breakthrough - April 2024
 

Mathematical modelling

  • 1. Tomorrow’s Technology Today FIC’s Mathematical Modelling Capabilities and Computational Fluid Dynamics FIC’s international reputation is built not only on its being in the forefront of furnace technology development but also on its unparalleled expertise and experience enabling it to fulfil precisely a customer’s needs. FIC can use the very latest in Mathematical Modelling and Computational Fluid Dynamics to give the client the highest degree of prognosticatory accuracy when it comes to any facet of the planning of furnace technology and how it will perform. Whilst the Mathematical Modelling can optimise electrode location, transformer characteristics and design, our Computational Fluid Dynamics provides extremely accurate simulations of the physical, chemical and thermal processes which will take place during glass production. l Design and Build l Electric Furnaces l Electro Boost l High Q Holders l Electrode Holders l HVP Forehearth l Iso-Thermal Unit l Bubbler Systems l Electrode Maintenance Unit l Drains l Mathematical Modelling l Engineering Services The World’s Number One in Furnace Technology Mathematical Modelling n Well-proven world-wide. n Accurate to better than 1%. n Saves money: possible use of existing customer hardware. n Saves money: transformer characteristics, voltage and current range ensure customer does not pay for design inefficiencies. n Inaccuracy in the determination of the resistivity of the glass and consequent transformer size could result in the transformer overheating and failing. n Critical to the design of any boost. n The ultimate in customising: client can view options to achieve objectives specified by client’s own requirements and FIC’s design criteria. Computational Fluid Dynamics n Reduces design time and expense: enables you to evaluate and optimise performance of several design concepts before a physical prototype is built and tested thus reducing the number of design iterations. n Reduces significantly design cycle time. n Helps guide other forms of testing, thus reducing testing costs. n Improved productivity. n Reduced scrap rate. n Immense cost-saving. n Reduces emissions.
  • 2. FIC’s Mathematical Modelling Capabilities and Computational Fluid Dynamics The World’s Number One Mathematical Modelling A cost-saving way in which to optimise performance and efficiency, FIC’s Mathematical Modelling consists of a software programme which creates a highly accurate simulation of the electrical field in a spatial conductor with constant electrical conductivity. The integral parameter of the rod electrodes can be determined and simulation of several galvanically isolated systems is possible. Rod electrodes can be positioned in any orientation within the surface, e.g. sidewall, bottom, top or even at oblique angles. With minor adjustments to the software, plate electrodes can also be simulated. The maximum number of electrodes that can be simulated is 48. Individual electrode lengths can be chosen freely as can the electrode radii. It is possible to calculate the magnitude and phase of electrode currents on the basis of pre-defined circuits and the given voltages. It is also possible to give a tabular listing of the magnitude and phase of calculated electrode currents in relation to their corresponding reference voltages. Calculated current and voltage vector diagrams can be displayed graphically of all currents and voltages of several galvanically separated electrical heating circuits. This method can also provide a calculation of the distribution of the electrical power density shown in the form of a contour diagram. Although calculated in three dimensions, only a two-dimensional cross section of the model can be shown at any one time. The definition of the contours is based on the average of the power density which, in turn, is multiplied by scaling factors shown graphically by a graduated scale of colours. Studies can include the use of existing client transformers to establish if they can be fitted to a new furnace or a revised boost, thus saving the client the cost of new hardware. Detailed model study reports can be provided allowing the client to study various boosting options such as optimising existing systems or engaging in complete redesign. Computational Fluid Dynamics FIC together with its partners provides a very comprehensive suite of Flow Modelling Software for the Glass Industry enabling a client to study fluent models of every stage of the glass making process. This includes: furnaces, melters, refiners, forehearths and spout bowls as well as glass forming operations such as drawing, pressing, blowing and fibre production. The insight gained improves designs, boosts productivity and reduces considerably production costs and pollutant emissions. Our software is backed by technical support and consultation from engineers whose specialisation is the resolution, by simulation, of problems in the glass and furnace technology industries. It incorporates leading-edge numerics, algorithms and physical models as well as advanced pre-processing, including geometry and mesh-creation/import and post-processing (visualization) tools. The easy-to-use interface and unrivalled interactivity of our software makes it immensely popular among researchers, designers and process engineers alike. Both the systems described above once again underline FIC’s commitment to customer satisfaction and the company’s much heralded commitment to further raising the standards of both performance and technology within the industry. l Design and Build l Electric Furnaces l Electro Boost l High Q Holders l Electrode Holders l HVP Forehearth l Iso-Thermal Unit l Bubbler Systems l EMU l Drains l Mathematical Modelling l Engineering Services FIC (UK) Limited Long Rock Industrial Estate Penzance Cornwall TR20 8HX United Kingdom Tel +44 (0) 1736 366 962 Fax +44 (0) 1736 351 198 Email general@fic-uk.com Web www.fic-uk.com