Numerical Simulation of Heat Mass Transfer Effects on MHD Flow of Williamson Nanofluid by a Stretching Surface with Thermal Conductivity and Variable Thickness

Round 1

Reviewer 1 Report

1.”in Page 9”: ** are explained and plotted in 6–34. => ** are explained and plotted in Figs. 6–34.

2.“in Page 10”: Thermal diffusivity reduces when Pr upsurges. Describe its mechanism.

3 “in Page 11”: The local Sherwood number, diminishes subject to increment in these parameters. Describe its mechanism.

Author Response

Comments and Suggestions for Authors

1.”in Page 9”: ** are explained and plotted in 6–34. => ** are explained and plotted in Figs. 6–34.

corrected in revised manuscript.

2.“in Page 10”: Thermal diffusivity reduces when Pr upsurges. Describe its mechanism.

The growing values of the Prandtl number parameter, Pr the temperature profile dropped because the thermal boundary layer viscosity declined by increasing the Prandtl number Pr. In short, an upturn in Prandtl number Pr means the deliberate amount of thermal dispersion.

3 “in Page 11”: The local Sherwood number, diminishes subject to increment in these parameters. Describe its mechanism.

 It is observed that the increase in the radiation parameters ? and M causes a decrease in the gradients of the nanoparticle volume fraction and consequently the Sherwood number is reduced.

Reviewer 2 Report

It is good paper about numerical simulation of heat mass transfer effects on MHD Williamson nanofluid in view of stretchable surface with thermal conductivity and variable thickness. I have some comments.

1. The authors in the Introduction provide links to outdated literary sources. This does not indicate that the article results are up to date. Therefore, it is necessary to update the references (after 2010).
2. The Introduction section should be supplemented with links to the following works: 1. Belonozhko, D.F., Ochirov, A.A. Mutual influence of wave motion and patterns of surfactant distribution (2018) Bulletin of the Russian Academy of Sciences: Physics, 82 (1), pp. 40-44. DOI: 10.3103/S1062873818010045; 2. Jin, Y.; Xi, C.; Xue, P.; Zhang, C.; Wang, S.; Luo, J. (2020) Constitutive Model and Microstructure Evolution Finite Element Simulation of Multidirectional Forging for GH4169 Superalloy. Metals. 10, 1695. DOI: 10.3390/met10121695; 3. Sarychev, V., Nevskii, S., Konovalov, S., Granovskii, A., Ivanov, Y., Gromov, V. Model of nanostructure formation in Al-Si alloy at electron beam treatment (2019) Materials Research Express, 6 (2), № 026540. DOI: 10.1088/2053-1591/aaec1f
3. It would be desirable to carry out a linear analysis of the MHD instability of this non-Newtonian nanofluid and to determine the condition for its appearance.

Author Response

Comments and Suggestions for Authors

It is good paper about numerical simulation of heat mass transfer effects on MHD Williamson nanofluid in view of stretchable surface with thermal conductivity and variable thickness. I have some comments.

The authors in the Introduction provide links to outdated literary sources. This does not indicate that the article results are up to date. Therefore, it is necessary to update the references (after 2010).

The Introduction section should be supplemented with links to the following works:

1. Belonozhko, D.F., Ochirov, A.A. Mutual influence of wave motion and patterns of surfactant distribution (2018) Bulletin of the Russian Academy of Sciences: Physics, 82 (1), pp. 40-44. DOI: 10.3103/S1062873818010045; 2.
2. Jin, Y.; Xi, C.; Xue, P.; Zhang, C.; Wang, S.; Luo, J. (2020) Constitutive Model and Microstructure Evolution Finite Element Simulation of Multidirectional Forging for GH4169 Superalloy. Metals. 10, 1695. DOI: 10.3390/met10121695; 3.
3. Sarychev, V., Nevskii, S., Konovalov, S., Granovskii, A., Ivanov, Y., Gromov, V. Model of nanostructure formation in Al-Si alloy at electron beam treatment (2019) Materials Research Express, 6 (2), № 026540. DOI: 10.1088/2053-1591/aaec1f

It would be desirable to carry out a linear analysis of the MHD instability of this non-Newtonian nanofluid and to determine the condition for its appearance.

Some recently published state of the research work has been cited in the revised manuscript in the introduction section to support the present work.

Round 2

Reviewer 2 Report

No new comments

Author Response

Comments and Suggestions for Authors

 In the revised manuscript, all suggestions recommended by the reviewer been addressed point by point points.