Periodic Flows in a Viscous Stratified Fluid in a Homogeneous Gravitational Field
Round 1
Reviewer 1 Report
The article looks at an interesting phenomena, however, I felt the authors did not present their findings in a way that will draw interest to a lay person on the subject area. One does not need to be an expert in an area to understand especially the results of a study. This aspect needs to come out clear even to an individual who is not an expert in the area.
Comments for author File: 
Comments.pdf
Author Response
Dear Mr./Mrs. Reviewer,
The authors are grateful for your attention to the paper, analysis of the content and valuable comments.
It is right; the popularity of the work is determined by the attention of non-professionals in the field of studies to the main results.
We rewrote some part of the text to clear the main ideas and methods of the work as well as added some conclusions directed to make the work results more understandable. This direction of research requires further efforts, which we hope to apply in further studies.
With best regards,
Yuli D. Chashechkin
Artem A. Ochirov
Author Response File: 
Author Response.docx
Reviewer 2 Report
1. In this paper the roots of equation (22) is not describe properly. They only give the results only. The roots of equation is the main concern of the paper. How the tackle the complex root. The graphical representation of complex root can be added.
2. There is no numerical results. Please add some numerical results.
3.The validation is a necessary step for proofing the present method trustable, correct. This necessary step is not described properly in this manuscript
Author Response
Dear Mr./Mrs. Reviewer,
The authors are grateful for your attention to the paper, analysis of the content and valuable comments.
On the merits of the comments.
- In this paper the roots of equation (22) is not describe properly. They only give the results only. The roots of equation is the main concern of the paper. How the tackle the complex root. The graphical representation of complex root can be added.
Answer. It is right; the description of roots is too compact. To clear properties of the equation (22) roots, we explained criteria of the roots separation into regular and singular parts and the rules for selecting physically valued solutions.
- There is no numerical results. Please add some numerical results.
Answer. Unfortunately, there is no numerical results on this topic up still now. Certainly, numerical additions to analytical results are useful, and sometimes necessary. The authors agree with this and they are actively working on numerical examples and illustrations construction. Results, as soon as they are ready, will be presented to print. Calculation and analyzing necessary results in this new approach takes efforts and time that goes beyond the limits of the available time interval.
- The validation is a necessary step for proofing the present method trustable, correct. This necessary step is not described properly in this manuscript.
Answer. Description of solutions procedure verification, which is carried out by uniform transitions to known solutions of simplified models is corrected.
With best regards,
Yuli D. Chashechkin
Artem A. Ochirov
Author Response File: Author Response.docx
Reviewer 3 Report
Comments for author File: Comments.pdf
Author Response
Dear Mr./Mrs. Reviewer,
The authors are grateful for your attention to the paper, analysis of the content and valuable comments.
On the merits of the comments.
- Abstract :
I request the author to include the main finding of the work.
Answer. Realized.
- Introduction:
The very first sentence in the introduction section repeats the first line of the abstract. I strongly recommend the author to rewrite in a different way. (Avoid repetitions)
Answer. Realized. Following your recommendations, the Abstract and Introduction were rewritten in order to avoid repetitions and to clear the paper text.
- Mathematical model:
The mathematical model considered has to be explained.
Answer. Text is corrected. When describing the mathematical model, considerations explaining the choice of equations are added.
Justify why the author has assumed exponential stratified fluid flow. Why not linear or any other form?
Answer. Explanation, based on the weakness of stratification and large value of the stratification scale with respect other length scale of the problem are added.
- Discussion. The author has considered different configurations like high frequency waves, low frequency waves, etc. The more physical interpretations on the result obtained on the six different configurations of the flow have to be included.
Answer. Text is corrected. A description of singular components of solutions that manifest themselves in all types of periodic flows and accompany known wave solutions has been added.
Speaking frankly additional experimental studies are necessary to improve physical interpretations of presented calculations. Condition of selection of real positive value for frequency is very strong limitation and must be tested in wave experiment.
- Conclusion. Conclusion section can be rewritten more precisely.
Answer. Text is corrected.
The authors thank you once again for your attention to the work and constructive comments.
With best regards,
Yuli D. Chashechkin
Artem A. Ochirov
