Research on Magnetic Field of Permanent Magnet Rolls Arranged Periodically in Circumferential-Axial Direction

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

Dear Authority

I have evaluated the article titled “Research on the Magnetic Field of Periodically Arranged Permanent Magnet Rolls in the Circumferential-Axial Direction” in detail.

- I think there are grammatical errors in English in general. It should be reviewed as a whole. There are errors in the use of conjunctions and adverbial words, it should be reviewed.

- In the Introduction, the importance of the subject and the connection of the content of the study to the literature are sufficient, but the spelling rules have not been taken into account. Why did you write the persons in all capital letters? Also, many studies are quite old, more recent studies can be included.

- You should explain the new model you presented in the “2” heading in more detail. What is its originality? Advantages and disadvantages?

- Is it necessary to provide all the theoretical calculations and formulas you presented in the “3 and 4” headings in detail? What is the relationship between each parameter? It can be detailed for the paragraph.

- The “5” heading should be reviewed according to the journal’s spelling rules. The resolution of Fig.7 should be clear, and also what language is in your pictures?

- Your references should be rewritten according to the journal’s rules

Comments on the Quality of English Language

serious corrections need to be made.

Author Response

Dear Reviewer

We feel great thanks for your professional review work on our article. As you are concerned, there are several problems that need to be addressed.According to your nice suggestions, we have made extensive corrections to our previous draft, the detailed corrections are listed below.

Comments 1:[ I think there are grammatical errors in English in general. It should be reviewed as a whole. There are errors in the use of conjunctions and adverbial words, it should be reviewed.]

Response 1：[Thanks for your suggestion. We have tried our best to polish the language in the revised manuscript.]

Comments 2:[ In the Introduction, the importance of the subject and the connection of the content of the study to the literature are sufficient, but the spelling rules have not been taken into account. Why did you write the persons in all capital letters? Also, many studies are quite old, more recent studies can be included.]

Response 2：[Thank you for your valuable suggestions. We are very sorry for the error in sorting names due to our carelessness. We have made some changes. In this article, we list the development of this research field, explain the content of the research and show the innovation of our research on the basis of the previous research, so there are some relatively long-standing research and literature, we specifically explain to you. If you feel that you still need to modify, we will modify it immediately.]

Comments 3:[You should explain the new model you presented in the “2” heading in more detail. What is its originality? Advantages and disadvantages?]

Response 3：[Thank you for your valuable constructive comments. We have detailed the originality and advantages of the new model introduced in the ' 2 ' title.]

Comments 4:[Is it necessary to provide all the theoretical calculations and formulas you presented in the “3 and 4” headings in detail? What is the relationship between each parameter? It can be detailed for the paragraph.]

Response 4：[Thank you for your valuable constructive comments. We believe that it is necessary to provide in detail all the theoretical calculations and formulas introduced in the ' 3 and 4 ' titles. Because in essence, the magnetic field is a complex physical phenomenon, and its characteristics are difficult to perceive intuitively. The theoretical calculation and formula are like accurate detectors, which can go deep into the microscopic level of the magnetic field and reveal its internal operating mechanism. Through rigorous mathematical derivation and logical deduction, starting from the basic principles of electromagnetism, we gradually construct a specific formula system suitable for the magnetic field of permanent magnet magnetic rollers with circumferential-axial periodic arrangement. We have added this in the title ' 3 ' of the original article.]

Comments 5:[ The “5” heading should be reviewed according to the journal’s spelling rules. The resolution of Fig.7 should be clear, and also what language is in your pictures?]

Response 5：[Thank you for your valuable comments. Due to our carelessness, the resolution and introduction of Figure 7, Figure 8 and Figure 9 were not submitted in accordance with the requirements of the journal, and we have made detailed modifications.]

Comments 6:[Your references should be rewritten according to the journal’s rules]

Response 6：[Thank you for your valuable comments. We are deeply sorry that the references were not submitted in accordance with the requirements of the journal due to our negligence. We have made detailed modifications to the full-text references in accordance with the requirements of the journal.]

Again, thank you for giving us the opportunity to strengthen ourmanuscript with your valuable comments and queries. We have worked hard to incorporate your feedback and hope that these revisions persuade you to accept our submission.

Best regards.

Yours sincerely,

Xinzhi Li

Author Response File: Author Response.docx

Reviewer 2 Report

Comments and Suggestions for Authors

The manuscript has great practical importance, but on the other hand, and what does not happen often, it was prepared at a very high scientific level. The authors carried out detailed derivations and calculations and then checked it all in simulations. I have only a few technical comments, which should be considered as “minor changes”. First of all, below equation (15), line 207, in line 204, 221 and maybe in other places, I didn't notice, the authors use the term dispersion for the scalar product of the nabla operator and other vectors - this is not dispersion but divergence. Figures 7-8 need to be corrected because they contain descriptions in Chinese. In addition, I found no other errors in the derivations. I further assume, which is not directly related to the article, that the authors took care to protect the rights of their intellectual property, since they choose to publish the results - if so, such information could possibly be included, for example, in the literature list as the citation.

Author Response

Dear Reviewer

We feel great thanks for your professional review work on our article. As you are concerned, there are several problems that need to be addressed.According to your nice suggestions, we have made extensive corrections to our previous draft, the detailed corrections are listed below.

Comments 1:[First of all, below equation (15), line 207, in line 204, 221 and maybe in other places, I didn't notice, the authors use the term dispersion for the scalar product of the nabla operator and other vectors - this is not dispersion but divergence.]

Response 1：[Thank you for your valuable comments. Due to our carelessness, we incorrectly use the term dispersion of the scalar product of the nabla operator and other vectors. We have modified the dispersion appearing in the article to divergence.]

Comments 2:[Figures 7-8 need to be corrected because they contain descriptions in Chinese.]

Response 2：[Thank you for your valuable comments. Due to our carelessness, the resolution and introduction of Figure 7, Figure 8 and Figure 9 were not submitted in accordance with the requirements of the journal, and we have made detailed modifications.]

Comments 3:[In addition, I found no other errors in the derivations. I further assume, which is not directly related to the article, that the authors took care to protect the rights of their intellectual property, since they choose to publish the results - if so, such information could possibly be included, for example, in the literature list as the citation.]

Response 3：[Thank you very much for your positive and constructive comments on our research. In view of your suggestions, we will certainly adopt them, and we will pay attention to the protection of intellectual property rights in subsequent research. Thank you again for your important suggestions.]

Again, thank you for giving us the opportunity to strengthen ourmanuscript with your valuable comments and queries. We have worked hard to incorporate your feedback and hope that these revisions persuade you to accept our submission.

Best regards.

Yours sincerely,

Xinzhi Li

Author Response File: Author Response.docx

Reviewer 3 Report

Comments and Suggestions for Authors

The title "Research on the Magnetic Field of Periodically Arranged Perma- 2 nent Magnet Rolls in the Circumferential-Axial Direction:, is a good, but lacks many a things. 

First of all rewrite title.

Please give a more  advanced solution of  analytical model  (such as multipole expansions or equivalent source models) for accurately calculating the magnetic fields generated by periodically arranged permanent magnets..

Investigate the effect of spacing between adjacent magnets on the field uniformity and strength. This can be done using both theoretical and simulation approaches.

Study the impact of temperature on the magnetic properties of the permanent magnets and develop methods to compensate for thermal drift. This may involve designing for heat dissipation or using materials with low thermal sensitivity.

Evaluate the electromagnetic compatibility of the system, ensuring that it doesn’t cause unwanted interference in sensitive equipment, especially in industrial or medical applications.

Comments on the Quality of English Language

plz rewitre title and impriove English phrasing in abstract and conclusions.  

Author Response

Dear Reviewer

We feel great thanks for your professional review work on our article. As you are concerned, there are several problems that need to be addressed.According to your nice suggestions, we have made extensive corrections to our previous draft, the detailed corrections are listed below.

Comments 1:[First of all rewrite title.]

Response 1：[Thank you for your valuable comments. Due to our negligence, the introduction of the article title was not submitted in accordance with the requirements of the journal, we have made detailed changes.]

Comments 2:[Please give a more  advanced solution of  analytical model  (such as multipole expansions or equivalent source models) for accurately calculating the magnetic fields generated by periodically arranged permanent magnets..]

Response 2：[Thank you for your valuable suggestions. For the solution of more advanced analytical models ( such as multipole expansion or equivalent source model, etc. ), our research conditions have not yet been met. However, we will certainly adopt the constructive suggestions given by you. In the future research, we will use more advanced analytical models to accurately calculate the magnetic field generated by periodically arranged permanent magnets.]

Comments 3:[Investigate the effect of spacing between adjacent magnets on the field uniformity and strength. This can be done using both theoretical and simulation approaches.]

Response 3：[Thank you for your constructive suggestions for our research. The influence of the distance between adjacent magnets on the uniformity and strength of the magnetic field is studied. The uniformity and strength of the magnetic field are important indicators to measure the performance of the magnetic roller. The research on them can provide a theoretical basis for the design and application of the magnetic roller. This study only proposes to optimize the magnetic roller by changing the diameter, circumferential and axial geometric dimensions of the permanent magnet to determine the best physical and sorting parameters of the magnetic roller, thereby increasing the magnetic flux density at the axial peak and trough of the magnetic field of the magnetic roller and improving the separation ability of the non-ferrous metal block. In the subsequent research, we will analyze the influence of the distance between adjacent magnets on the uniformity of the magnetic field, and determine the optimal distance range to obtain higher magnetic field uniformity. Improve the performance and reliability of the magnetic roller, reduce production costs, and promote the development of related industries.]

Comments 4:[Study the impact of temperature on the magnetic properties of the permanent magnets and develop methods to compensate for thermal drift. This may involve designing for heat dissipation or using materials with low thermal sensitivity.]

Response 4：[Thank you for your constructive suggestions for our research. As far as the current research status is concerned, we have not conducted in-depth research on the influence of temperature on the magnetic properties of permanent magnets. However, for the valuable constructive suggestions you put forward, we will certainly adopt, prepare the permanent magnet magnetic roller under different temperature conditions, use the magnetic field measuring instrument to measure the magnetic field of the magnetic roller at different temperatures, and record the changes of magnetic flux, magnetic field strength and other parameters. The relationship between temperature and magnetic properties was analyzed, and a mathematical model was established to describe the effect of temperature on magnetic properties. By optimizing the heat dissipation structure of the magnetic roller, the temperature rise speed of the permanent magnet is reduced, and the influence of thermal drift is reduced. The heat sink, fan and other heat dissipation devices are used to improve the heat dissipation efficiency. Permanent magnet materials or other materials with low thermal sensitivity are selected to construct magnetic rollers to reduce the influence of temperature change on magnetic properties.]

Comments 5：[Evaluate the electromagnetic compatibility of the system, ensuring that it doesn’t cause unwanted interference in sensitive equipment, especially in industrial or medical applications]

Response 5：[Thank you for your constructive suggestions for our research. In view of your constructive suggestions, we use electromagnetic simulation software to model the magnetic roller system and sensitive equipment to simulate the electromagnetic field distribution and interference under different working conditions. The potential interference of the magnetic roller system to the sensitive equipment is evaluated by the simulation results, and the system design is optimized to reduce the interference.]

Comments 6：[plz rewitre title and impriove English phrasing in abstract and conclusions. ]

Response 6：[Thanks for your suggestion. We have tried our best to polish the language in the revised manuscript.]

Again, thank you for giving us the opportunity to strengthen ourmanuscript with your valuable comments and queries. We have worked hard to incorporate your feedback and hope that these revisions persuade you to accept our submission.

Best regards.

Yours sincerely,

Xinzhi Li

Author Response File: Author Response.docx

Reviewer 4 Report

Comments and Suggestions for Authors

Reviewer's  comments:

Before publication, the authors must correct the mistakes in the text that are found all over the manuscript and address the following:

 

1.            Can authors explain in more detail how the specific arrangement of four permanent magnets in the axial direction and six in the circumferential direction improves the magnetic roller's performance compared to other possible configurations?

2.            How did authors determine that these specific arrangement periods are optimal for your application?

3.            The authors mention that the enhanced magnetic field strength is particularly beneficial for separating large-sized broken copper and aluminum parts from scrapped automobiles. Could you provide more details on the size range of materials that can be effectively separated using this optimized magnetic roller?

4.            What are the limitations of this system in terms of material size or composition, and how might it handle other non-ferrous metals?What are the specific conditions (e.g., pressure, temperature, reservoir type) under which CO2 outperforms N2 as an injection medium? Could there be scenarios where N2 might be preferable?

5.            Based on your findings, what are the next steps in refining this magnetic roller design? Are there specific aspects of the model or magnetic field optimization that you believe warrant further research?

6.            The author should need to add at least 3-5 new references from anywhere or specially the "Processes" relevant to his topics.

 

7.            Overall, the work is interesting; it just needs to follow the suggestions to improve the manuscript.

Comments on the Quality of English Language

Reviewer's  comments:

Before publication, the authors must correct the mistakes in the text that are found all over the manuscript and address the following:

 

1.            Can authors explain in more detail how the specific arrangement of four permanent magnets in the axial direction and six in the circumferential direction improves the magnetic roller's performance compared to other possible configurations?

2.            How did authors determine that these specific arrangement periods are optimal for your application?

3.            The authors mention that the enhanced magnetic field strength is particularly beneficial for separating large-sized broken copper and aluminum parts from scrapped automobiles. Could you provide more details on the size range of materials that can be effectively separated using this optimized magnetic roller?

4.            What are the limitations of this system in terms of material size or composition, and how might it handle other non-ferrous metals?What are the specific conditions (e.g., pressure, temperature, reservoir type) under which CO2 outperforms N2 as an injection medium? Could there be scenarios where N2 might be preferable?

5.            Based on your findings, what are the next steps in refining this magnetic roller design? Are there specific aspects of the model or magnetic field optimization that you believe warrant further research?

6.            The author should need to add at least 3-5 new references from anywhere or specially the "Processes" relevant to his topics.

 

7.            Overall, the work is interesting; it just needs to follow the suggestions to improve the manuscript.

Author Response

Dear Reviewer

We feel great thanks for your professional review work on our article. As you are concerned, there are several problems that need to be addressed.According to your nice suggestions, we have made extensive corrections to our previous draft, the detailed corrections are listed below.

Comments 1:[Before publication, the authors must correct the mistakes in the text that are found all over the manuscript ]

Response 1：[Thanks for your suggestion. We have tried our best to polish the language in the revised manuscript.]

Comments 2:[Can authors explain in more detail how the specific arrangement of four permanent magnets in the axial direction and six in the circumferential direction improves the magnetic roller's performance compared to other possible configurations?]

Response 2：[Compared with the traditional permanent magnet array, the Halbach permanent magnet array has the ability to enhance the unilateral magnetic field strength. In this paper, the Halbach permanent magnet array is used for eddy current sorting, and the arrangement of the permanent magnets of the sorting magnetic roller is changed. In theory, the magnetic field strength outside the sorting magnetic roller can be significantly enhanced, and the sorting ability of the eddy current sorting equipment can be increased.]

Comments 3:[How did authors determine that these specific arrangement periods are optimal for your application?]

Response 3：[At present, by establishing a variety of sorting magnetic roller models, the magnetic field strength of the sorting magnetic roller is theoretically calculated and analyzed. The magnetic roller model in this paper can significantly improve the magnetic field strength outside the magnetic roller. The sorting effect in practice needs to be further verified by subsequent experiments.]

Comments 4:[The authors mention that the enhanced magnetic field strength is particularly beneficial for separating large-sized broken copper and aluminum parts from scrapped automobiles. Could you provide more details on the size range of materials that can be effectively separated using this optimized magnetic roller?]

Response 4：[The existing eddy current separator can only sort non-ferrous metals ( mostly copper and aluminum ) with small size ( the maximum size does not exceed 20mm ). In this paper, the magnetic field strength of the permanent magnet array magnetic roller has been significantly improved, which can provide a greater sorting force, but the specific sorting size needs to be tested later.]

Comments 5:[What are the limitations of this system in terms of material size or composition, and how might it handle other non-ferrous metals?What are the specific conditions (e.g., pressure, temperature, reservoir type) under which CO2 outperforms N2 as an injection medium? Could there be scenarios where N2 might be preferable?]

Response 5：[Based on the basic principle of eddy current sorting, it can only sort non-ferrous metals with large differences in conductivity and density, and the size of metal particles should not be too small or too large. At present, the size of vortex current separator is between 2-20 mm.]

Comments 6:[Based on your findings, what are the next steps in refining this magnetic roller design? Are there specific aspects of the model or magnetic field optimization that you believe warrant further research?]

Response 6：[Subsequent experiments are needed to build two sorting magnetic rollers with the same overall size. One adopts the traditional permanent magnet array arrangement, and the other adopts the permanent magnet array arrangement in this paper. The magnetic field strength and sorting effect of the magnetic roller are tested. Subsequently, the magnetic circuit of the permanent magnet array can be analyzed and optimized by changing the geometric size of a single permanent magnet.]

Comments 7:[The author should need to add at least 3-5 new references from anywhere or specially the "Processes" relevant to his topics.]

Response 7：[Thank you for your valuable suggestions. In this article, we list the development of this research field, explain the content of the research and show the innovation of our research on the basis of the previous research, so there are some relatively long-standing research and literature, we specifically explain to you. If you feel that you still need to modify, we will modify it immediately.]

Again, thank you for giving us the opportunity to strengthen ourmanuscript with your valuable comments and queries. We have worked hard to incorporate your feedback and hope that these revisions persuade you to accept our submission.

Best regards.

Yours sincerely,

Xinzhi Li

 

 

 

Author Response File: Author Response.docx

Round 2

Reviewer 1 Report

Comments and Suggestions for Authors

Dear Authority

The corrections made are sufficient and the article can be accepted.

Regards.

Reviewer 3 Report

Comments and Suggestions for Authors   Manuscript title "Research on the Magnetic Field of Periodically Arranged Permanent Magnet Rolls in the Circumferential-Axial Direction "  is related to magnetic field of periodically arranged permanent magnet rolls in the circumferential-axial direction is crucial in various engineering and scientific applications, particularly in magnetic systems used for rotating machinery, magnetic separation, and materials handling. Here's a breakdown of the key concepts, techniques, and findings typically involved in this research.  Comments on the Quality of English Language

Manuscript title "Research on the Magnetic Field of Periodically Arranged Permanent Magnet Rolls in the Circumferential-Axial Direction "  is related to magnetic field of periodically arranged permanent magnet rolls in the circumferential-axial direction is crucial in various engineering and scientific applications, particularly in magnetic systems used for rotating machinery, magnetic separation, and materials handling. Here's a breakdown of the key concepts, techniques, and findings typically involved in this research. 

Reviewer 4 Report

Comments and Suggestions for Authors

Reviewer' comments:

 

Reviewer #: In the present work (Revised Manuscript MDPI-processes-3215529 R2 V2) "

"After a thorough review of the author's revised manuscript (Manuscript MDPI- processes-3215529 R2 V2), I conclude that they have provided his answers to the reviewers' suggested comments with appropriate explanations.

 

Therefore, I accept and recommend this version related to the Processes"