# A Preliminary Investigation into Separating Performance and Magnetic Field Characteristic Analysis Based on a Novel Matrix

^{*}

## Abstract

**:**

## 1. Introduction

_{p}and κ

_{f}are the volume magnetic susceptibilities of particle and fluid (water), separately, V

_{p}is the magnetizable particle volume, and μ

_{0}is the magnetic permeability of vacuum.

## 2. Experimental

#### 2.1. The Screw Thread Rod Matrix

#### 2.2. A Horizontal Magnetic Field Orientation HGMS Separator and Its Principle

#### 2.3. Sample

#### 2.4. The Physical Testing Procedures and Conditions

#### 2.5. Evaluation Methods of Separation Performance

_{2}O

_{3}).

## 3. Results and Discussion

#### 3.1. Influence of the Distance between ERB on Separation Performance

#### 3.2. Influence of Column Gap between Adjacent Rod Elements on the Separation Performance

## 4. Numerical Analysis of Magnetic Field Distribution Based on Matrix Parameters

#### 4.1. Establishment and Optimization of the Simulation Model

#### 4.2. Governing Equations

#### 4.3. Mesh Generation and Defined Parameters for the Solution Process

#### 4.4. Numerical Test Results

## 5. Conclusions

## Acknowledgments

## Author Contributions

## Conflicts of Interest

## References

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**Figure 2.**The structure schematic drawing of the cyclic horizontal magnetic field orientation high-gradient magnetic separation (HGMS) separator.

**Figure 3.**Influence of distance between equidistant ring-shaped bulges (ERB) (p value) on the separation performance. The matrix diameter is 3 mm, background magnetic induction is 0.8 T, the fluid velocity is 0.05 m/s, the length of stroke is 11.4 mm, and the frequency of pulsation is 30 Hz. (

**a**) Column gap d = 2 mm; (

**b**) Column gap d = 3 mm; (

**c**) Column gap d = 4 mm; (

**d**) Column gap d = 5 mm.

**Figure 4.**Influence of column gap between adjacent rod elements on the separation performance. The matrix radius is 3 mm, background magnetic induction is 0.8 T, the fluid velocity is 0.05 m/s, the length of stroke is 11.4 mm, and the frequency of pulsation is 30 Hz. (

**a**) Distance between ERB p = 0 mm. (

**b**) Distance between ERB p = 0.5 mm. (

**c**) Distance between ERB p = 1.0 mm. (

**d**) Distance between ERB p = 1.5 mm. (

**e**) Distance between ERB p = 2.0 mm.

**Figure 7.**The cloud chart of magnetic induction intensity distribution in the axial and radial directions. (

**a**) The smooth rod matrix with a diameter of 3 mm. (

**b**) The screw thread rod matrix. (

**c**) The smooth rod matrix with a diameter of 3.5 mm.

**Figure 9.**The data of magnetic parameters along the specified path. (

**a**) The relationship between the magnetic field strength and the distance moving away from the matrix surface. (

**b**) The relationship between the magnetic field gradient and the distance moving away from the matrix surface. (

**c**) The relationship between the product of the magnetic field strength and the magnetic field gradient and the distance moving away from the matrix surface.

**Figure 10.**The cloud chart of magnetic induction intensity distribution based on different distances between ERB. (

**a**) Distance between ERB p = 0.3 mm. (

**b**) Distance between ERB p = 0.5 mm. (

**c**) Distance between ERB p = 1.0 mm. (

**d**) Distance between ERB p = 1.5 mm. (

**e**) Distance between ERB p = 2.0 mm.

Type of Parameters | Numerical Values |
---|---|

Magnetic field intensity (T) | 0.8 |

Feed solid density (%) | 20 |

Flowing speed of slurry (cm/s) | 4.39 |

Output size (mm) | 10 |

Pulsating stroke (mm) | 11.4 |

Pulsating frequency (Hz) | 30 |

Distance between ERB (mm) | p = 0, 0.5, 1.0, 1.5, 2.0 |

Column gap in matrix (mm) | d = 2, 3, 4, 5 |

Type of Parameters | Description |
---|---|

Material of ferrite yoke | Low carbon steel (Q235) |

Material of exiting coils | Copper |

Material of magnetic pole | Low carbon steel (Q235) |

Material of matrix | Stainless steel (SUS430) |

Separating zone | Vacuum |

Gap between magnetic poles (mm) | 80 |

Number of turns in the excitation coil | 300 |

Magnetizing current (A) | 87 |

Background magnetic induction (Tesla) | 0.8 |

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**MDPI and ACS Style**

Li, W.; Han, Y.; Xu, R.; Gong, E.
A Preliminary Investigation into Separating Performance and Magnetic Field Characteristic Analysis Based on a Novel Matrix. *Minerals* **2018**, *8*, 94.
https://doi.org/10.3390/min8030094

**AMA Style**

Li W, Han Y, Xu R, Gong E.
A Preliminary Investigation into Separating Performance and Magnetic Field Characteristic Analysis Based on a Novel Matrix. *Minerals*. 2018; 8(3):94.
https://doi.org/10.3390/min8030094

**Chicago/Turabian Style**

Li, Wenbo, Yuexin Han, Ruiqing Xu, and Enpu Gong.
2018. "A Preliminary Investigation into Separating Performance and Magnetic Field Characteristic Analysis Based on a Novel Matrix" *Minerals* 8, no. 3: 94.
https://doi.org/10.3390/min8030094