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Article
Peer-Review Record

Mathematical Model for Axisymmetric Taylor Flows Inside a Drop

by Ilya V. Makeev 1,*, Rufat Sh. Abiev 2 and Igor Yu. Popov 1
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Submission received: 2 December 2020 / Revised: 21 December 2020 / Accepted: 24 December 2020 / Published: 26 December 2020
(This article belongs to the Special Issue Flow and Heat Transfer Intensification in Chemical Engineering)

Round 1

Reviewer 1 Report

accpted

Comments for author File: Comments.pdf

Author Response

Reply to the review of the article " Mathematical model for axisymmetric Taylor flows inside a drop".

According to the reviewer, the article can be published in the journal. We express our gratitude to the reviewer and the editorial staff for their attention to our article.

Many thanks for your efforts and high assessment of our paper.

 

Best regards, 

the team of authors of the article.

Reviewer 2 Report

Review of "Mathematical model for axisymmetric Taylor flows inside a drop"

This paper considers solutions for the Stokes equations within a spheroid of rotation, appropriate to describing flow inside bubbles, extending previous work by the authors to 3D. The work is well written, clearly presented and technically sound, worthy of publication in the journal, with the following minor points suggested for the authors to take into consideration.

1 Introduction
page 1, line 1: "The Taylor flow regime...typical of this regime". Please provide a reference to back up this statement.

page 1, line 5: "In the last two to three decades, many papers...". Again provides example references.

page 3, line 3: Typo, add word "a" before word "benchmark"

2. Problem formulation
page 3, line 2: typo, add word "a" before word "spheroid"

page 4, equation (8): might be worth just clarifying that "cth" and "ctg" refer to hyperbolic cotangent and cotangent respectively, rather than just tangent as is written in the text

page 5, after equation (16), line beginning "To complete the process...": typo, remove the word "allow" before the word "satisfy"

page 6, figure 6 and 7: To clarify, to calculate these results did you need to specify a particular value of the free constant parameter (one of C_1 to C_3), which fixes the boundary velocity? If so, it would be useful to indicate choice made to produce these results. Similarly for the next set of figures for the confocal spheroids.

Author Response

The file is attached to this letter. 

Author Response File: Author Response.pdf

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