Download Analysis on Coupled Fields Inside Passage by Finite

Physical and Numerical Simulation of Geotechnical Engineering
9th Issue, Dec. 2012
Analysis on Coupled Fields Inside Passage by Finite
Element Method and Its Applications
WANG Hao, LIU Lily
College of Science, Liaoning Technical University, Fuxin, Liaoning 123000, P.R.China
[email protected]
ABSTRACT: By analyzing the dynamic flow driven by the electrolyte solution in the magnetic
field and electric field that generated respectively by solenoid and parallel plate electrodes, this
article did the electromagnetic field calculation and flow field calculation via ANSYS software,
and the results from the electromagnetic coupling analysis were obtained thereby.
KEYWORDS: ANSYS, Solenoid, Electromagnetic force, Electrolyte solution
I NTRODUCTION
The electrolyte solution inside passage driven by
electromagnetic force is a coupled field composed of
electric field, magnetic field and flow field, the electric
field will be generated if the powered plates of both
positive and negative polarity are parallelized on both sides
of the passage. This passage is also inside the long straight
solenoid and the magnetic field can be generated by
electrifying the solenoid. The electromagnetic interaction
will create Lorentz force, which will change the
distribution of the flow field and boost forward the
electrolyte solution. According to the finite element
solution process of the flow field and electromagnetic field
obtained by analyzing the flow field and electromagnetic
field via finite element method, the coupled field inside the
passage can be calculated.
The general steps of calculating the coupled field are
showed as Figure 1.
Begin
Determine the finite element analysis model
Initialize the flow field areas, parameters and variables
Calculate the distribution of the electromagnetic field at t0
Calculate the electromagnetic force upon the electrolyte solution
Put the electromagnetic force into the fluid momentum
equation; calculate the flow field distribution at ti
Put Vti into the Maxwell
Equation; calculate the
electromagnetic field
distribution at ti
Y
▏Vti-Vti-T ▏≤δ
N
End
Figure 1 Program design flow of calculating the coupled field
2 ANSYS ANALYSIS MODEL
The two-dimensional calculation model used in the
ANSYS analysis is showed in Figure 2. The passage is in
rectangular shape with an interior magnetic field generated
© ST. PLUM-BLOSSOM PRESS PTY LTD
by solenoid or multiphase alternative superconducting
magnet. Two sets of phases with a phase number of 20 are
on the upper and lower sides respectively. Under the effect
of magnetic field and actuated by it, the electrolyte solution
in the passage will flow.
Analysis on Coupled Fields Inside Passage by Finite Element Method and Its Applications
DOI: 10.5503/J.PNSGE.2012.09.017
Figure 2 Calculation model for ANSYS analysis
Preferences:
(1)
Passage
of
the
electrolyte
solution:
length=1200mm; width=200mm; height=140mm
(2) Solenoid: length=1500mm; diameter=1.5mm;
number of windings=1000/2000; conducting wire:
enameled copper wire with a electrical resistivity of 1.7×
10-8Ω m; conducted current: 0-15A.
(3) Set the electric conductivity of the electrolyte
solution as a constant number σ =10.0s/m, with a density
of ρ =1100kg/m3 and a viscosity coefficient of μ
=0.0017Ns/m2.
(4) DC magnetic field follows the positive direction of
Y axis, while AC travelling wave magnetic field follows
the positive direction of X axis. The exciting current in the
coil is J=100A. The end effect at inlet and outlet of the
passage is neglected
3 MESH
ANALYSIS
GENERATION
FOR
ANSYS
For finite element simulation via computation model, the
first thing is to generate grid mesh, see Figure 3. As for
plane-type two-dimension simulation analysis, the
quadrangular cell is used to divide the whole model.
Figure 3 Mesh generation for ANSYS analysis
when DC electric pressure is 30V. The distribution of
electric field vectors in electrolyte solution between the
polar plates is showed in Figure 4.
4 CALCULATION OF ELECTRIC FIELD
According to the above model, the electric conductivity
of the electrolyte solution can be calculated as 10.0s/m
Figure 4 Distribution of electric field vectors in electrolyte solution
88
Physical and Numerical Simulation of Geotechnical Engineering
9th Issue, Dec. 2012
map for magnetic intensity vector and magnetic field
intensity is showed in Figure 6. Due to the internal
diameter of the solenoid is smaller than its length, the
magnetic field in the solenoid is short of homogeneity, and
the edge effect is relatively evident. The magnetic field
distribution follows the solenoid axial line (Z axis)
direction can be observed in the below pictures.
5 CALCULATION OF MAGNETIC FIELD
The length of the solenoid of the enameled copper wire
is 1.5m with a diameter of 0.0015m. The conducted current
is 0.5-30A while the number of windings is 2000. The
vector graph of magnetic induction density generated in
electrified solenoid and distribution map of magnetic
induction density are showed in Figure 5 respectively. The
Figure 5 Distribution map of magnetic induction density B generated in electrified solenoid
Figure 6 Distribution map of magnetic field intensity H generated in electrified solenoid
are showed in Figure 7.
Due to the differences of electric pressures between the
polar plates and the differences of the current intensity
passing the solenoid, different vector graph analyzing
results for electromagnetic force are obtained and showed
in Figure 8.
6 CALCULATION OF ELECTROMAGNETIC
FORCE
The electric field generated between the polar plates and
the magnetic field generated in the solenoid act on the
electrolyte solution, driving it by electromagnetic force.
The calculation vector graphs of the electromagnetic force
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Analysis on Coupled Fields Inside Passage by Finite Element Method and Its Applications
DOI: 10.5503/J.PNSGE.2012.09.017
Figure 7 Vector analysis for electrolyte solution under electromagnetic force
Figure 8 Analysis on electromagnetic force when change the electric pressure between the polar plates and electric
current in the solenoid
specific time can be calculated. When the electrified
electric current inside coils of the solenoid is 5A, the
actuating speed distribution of the flow field can be
observed in figure 9.
7 CALCULATION OF FLOW FIELD DRIVING
By coupling the electromagnetic field inside solenoid
with the passage of the electrolyte solution, the actuating
speed distribution of the flow field inside passage at a
Figure 9 Vector distribution of the actuating speed of the electrolyte solution flow field inside passage
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Physical and Numerical Simulation of Geotechnical Engineering
9th Issue, Dec. 2012
8 CALCULATION OF FLOW FIELD
The resulting actuating speed acts upon the electrolyte
solution in the passages that outside electromagnetic field,
and via calculation the liquid flow situation is shown in
Figure 10.
Putting circular cylinder into the electrolyte solution
outside passage, along with the adding of the actuating
speeds the possibly generable circumfluence phenomena on
the circular cylinder can be observed in Figure 11.
Different actuating speeds usually mean different size
and distribution of the eddy-making upon the circular
cylinder. While the flow field distribution of the liquid of
same electrolyte solution density at different electric
current that generating different actuating speeds can be
observed in Figure 12.
Figure 10 Flow field speed distribution of the electrolyte solution inside passage
Figure 11 Circumfluence distribution of the circular cylinder in electrolyte solution of the exterior passage
Figure 12 Circumfluence distribution of the circular cylinder in electrolyte solution at different electric current
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Analysis on Coupled Fields Inside Passage by Finite Element Method and Its Applications
DOI: 10.5503/J.PNSGE.2012.09.017
[1].
9 CONCLUSIONS
Based on gradually perfected finite element ANSYS
calculation method, this article mainly analyzed the
obtained display, image and flow speed field for the
conducting fluid driven flow and image display for
Circumfluence of the circular cylinder etc. by combining
the equation of electrolyte solution flow driven by
electromagnetic force with discretization process, coupling
method, model building and special tridimensional
calculation. The analytical results for electric field,
magnetic field, electromagnetic force and coupled field etc.
were obtained thereby.
[2].
AUTHOR IN BRIEF
[6].
[3].
[4].
[5].
[7].
Wang Hao (1964-), male, Liaoning Linghai, professor and
doctor, mainly works on theory and application of electric
field and magnetic field.
[8].
[9].
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