Development of a three-dimensional magnetohydrodynamics code for electromagnetic pumps

Figures & data

Figure 1. Bird's-eye view of an EM pump.

Figure 2. 3D MHD code algorithm.

Table 1. ETEC 160 m³/min specifications.

Items	Specification
Flow rate	160 m^3/min
Developed pressure (pump head)	0.25 MPa
Sodium temperature	335 °C
Design specification
Input power	1680 kW
Terminal voltage	884 A
Frequency	20 Hz
Rm	6.42
Slip	0.16
Rm × slip	1.06
Number of poles	14
Flow gap	77 mm
Flow velocity	10.4 m/s
Number of coils	84 × 2
Outer diameter of casing	1900 mm

Table 2. Simulation conditions.

No.	1	2	3	4	5	6	7	8	9	10
Flow rate (m^3/min)	141	151	156	159	164	172	73	117	126	137
Inlet velocity (m/s)	9.0	9.7	10.0	10.2	10.5	11.0	4.7	7.5	8.1	8.8
Frequency (Hz)	20.4	20.4	20.4	20.4	20.4	20.4	15.9	15.9	16.0	16.1
Average coil currents (A)	344	333	323	313	298	282	341	302	281	253

Figure 3. ETEC 160 m³/min mesh.

Figure 4. Pressure contour (159 m³/min, 20.4 Hz, 0.5 sec).

Figure 5. Flow velocity distribution at pump outlet (159 m³/min, 20.4 Hz, 0.5 sec).

Figure 6. Transient of the developed pressure (159 m³/min, 20.4 Hz).

Figure 7. P–Q characteristics: simulations and experiments.

Figure 8. Circumferential non-uniformity of flow velocity in inlet boundary condition.

Table 3. Simulation conditions.

Flow rate (m^3/min)	141	141	141	141	151
Inlet velocity (m/s)	9.0	9.0	9.0	9.0	9.7
Frequency (Hz)	20.4	20.4	20.4	20.4	20.4
Rm × s	1.6	1.6	1.6	1.6	1.4
Average coil currents (A)	300	300	300	300	333
Non-uniformity (%)	0	10	20	30	10

Figure 9. Contour of the flow velocity (151 m³/min, Rm × s = 1.4, non-uniformity 10%).

Figure 10. Transient of developed pressure (151 m³/min, Rm × s = 1.4, non-uniformity 10%).

Figure 11. Transient of developed pressure with non-uniformity (141 m³/min, Rm × s = 1.4).

Figure 12. Contours of axial flow velocity (141 m³/min, Rm × s = 1.6, non-uniformity 30%).

Figure 13. The flow vectors in r–z plane (141 m³/min, Rm × s = 1.6, non-uniformity 30%).