Correction: Otic, C.J.C.; Yonemura, S. Effect of Different Surface Microstructures in the Thermally Induced Self-Propulsion Phenomenon. Micromachines 2022, 13, 871

Otic, Clint John Cortes; Yonemura, Shigeru

doi:10.3390/mi13081181

Open AccessCorrection

Correction: Otic, C.J.C.; Yonemura, S. Effect of Different Surface Microstructures in the Thermally Induced Self-Propulsion Phenomenon. Micromachines 2022, 13, 871

by

Clint John Cortes Otic

^1,*

and

Shigeru Yonemura

^2,*

¹

Department of Finemechanics, Graduate School of Engineering, Tohoku University, 6-6 Aramaki Aza Aoba, Aoba-ku, Sendai 980-8579, Miyagi, Japan

²

Department of Mechanical Engineering, College of Engineering, Chubu University, 1200 Matsumoto-cho, Kasugai 487-8501, Aichi, Japan

^*

Authors to whom correspondence should be addressed.

Micromachines 2022, 13(8), 1181; https://doi.org/10.3390/mi13081181

Submission received: 14 July 2022 / Accepted: 21 July 2022 / Published: 27 July 2022

(This article belongs to the Section A：Physics)

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Versions Notes

The authors wish to make the following corrections to the published paper [1]. Figures 3–5, 7 and 11 were published in the incorrect format, in which the results were not displayed properly. In the corrected version, the authors have modified the figures from EPS format to high-resolution JPEG format. For consistency, all figures, i.e., Figure 1, Figure 2, Figure 3, Figure 4, Figure 5, Figure 6, Figure 7, Figure 8, Figure 9, Figure 10, Figure 11 and Figure 12, have been replaced in high-resolution JPEG format as appears in the succeeding pages.

The authors state that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.

Reference

Otic, C.J.C.; Yonemura, S. Effect of Different Surface Microstructures in the Thermally Induced Self-Propulsion Phenomenon. Micromachines 2022, 13, 871. [Google Scholar] [CrossRef] [PubMed]

Figure 1. Schematics of the substrate with different surface microstructures.

Figure 2. Computational domain used in each microstructure.

Figure 3. Flow distributions and temperature distributions for (a) ratchet, (b) modified ratchet, (c) oblique plate, and (d) oblique ridge, at

Kn = 0.1

.

Figure 3. Flow distributions and temperature distributions for (a) ratchet, (b) modified ratchet, (c) oblique plate, and (d) oblique ridge, at

Kn = 0.1

.

Figure 4. Flow distributions and temperature distributions for (a) ratchet, (b) modified ratchet, (c) oblique plate, and (d) oblique ridge, at

Kn = 1

.

Figure 4. Flow distributions and temperature distributions for (a) ratchet, (b) modified ratchet, (c) oblique plate, and (d) oblique ridge, at

Kn = 1

.

Figure 5. Flow distributions and temperature distributions for (a) ratchet, (b) modified ratchet, (c) oblique plate, and (d) oblique ridge, at

Kn = 10

.

Figure 5. Flow distributions and temperature distributions for (a) ratchet, (b) modified ratchet, (c) oblique plate, and (d) oblique ridge, at

Kn = 10

.

Figure 6. Distribution of the local tangential Knudsen stress, i.e., local propulsive force per unit area, for each case of the microstructure, at

Kn = 1

. The silhouette of the ratchet structure is added for easy reference.

Figure 6. Distribution of the local tangential Knudsen stress, i.e., local propulsive force per unit area, for each case of the microstructure, at

Kn = 1

. The silhouette of the ratchet structure is added for easy reference.

Figure 7. Net tangential Knudsen stresses, i.e., propulsive forces per unit area, at (a) different tip angles

β

for the modified ratchet and (b) different inclination angles

α

for the ratchet, for

Kn = 1

.

Figure 7. Net tangential Knudsen stresses, i.e., propulsive forces per unit area, at (a) different tip angles

β

for the modified ratchet and (b) different inclination angles

α

for the ratchet, for

Kn = 1

.

Figure 8. Distributions of the local tangential Knudsen stress due to molecules coming from the oblique side of the modified ratchet microstructure for different tip angles

β

at

Kn = 1

.

Figure 8. Distributions of the local tangential Knudsen stress due to molecules coming from the oblique side of the modified ratchet microstructure for different tip angles

β

at

Kn = 1

.

Figure 9. Distributions of the local tangential Knudsen stress due to molecules coming from the modified side of the modified ratchet microstructure, for different tip angles

β

at

Kn = 1

.

Figure 9. Distributions of the local tangential Knudsen stress due to molecules coming from the modified side of the modified ratchet microstructure, for different tip angles

β

at

Kn = 1

.

Figure 10. Net tangential Knudsen stresses, i.e., propulsive forces per unit area, at different Knudsen numbers for different surface microstructures.

Figure 11. Distributions of the local tangential Knudsen stress, i.e., local propulsive force per unit area, for the ratchet microstructure, at (a) selected lower Knudsen numbers,

Kn \leq 2

, and (b) selected higher Knudsen numbers,

Kn \geq 2

.

Figure 11. Distributions of the local tangential Knudsen stress, i.e., local propulsive force per unit area, for the ratchet microstructure, at (a) selected lower Knudsen numbers,

Kn \leq 2

, and (b) selected higher Knudsen numbers,

Kn \geq 2

.

Figure 12. Net tangential Knudsen stresses, i.e., propulsive forces per unit area, for different surface microstructures at different temperature differences, in the case of

Kn = 1

and

(T_{h} + T_{c}) / 2 = 400 K

.

Figure 12. Net tangential Knudsen stresses, i.e., propulsive forces per unit area, for different surface microstructures at different temperature differences, in the case of

Kn = 1

and

(T_{h} + T_{c}) / 2 = 400 K

.

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Otic, C.J.C.; Yonemura, S. Correction: Otic, C.J.C.; Yonemura, S. Effect of Different Surface Microstructures in the Thermally Induced Self-Propulsion Phenomenon. Micromachines 2022, 13, 871. Micromachines 2022, 13, 1181. https://doi.org/10.3390/mi13081181

AMA Style

Otic CJC, Yonemura S. Correction: Otic, C.J.C.; Yonemura, S. Effect of Different Surface Microstructures in the Thermally Induced Self-Propulsion Phenomenon. Micromachines 2022, 13, 871. Micromachines. 2022; 13(8):1181. https://doi.org/10.3390/mi13081181

Chicago/Turabian Style

Otic, Clint John Cortes, and Shigeru Yonemura. 2022. "Correction: Otic, C.J.C.; Yonemura, S. Effect of Different Surface Microstructures in the Thermally Induced Self-Propulsion Phenomenon. Micromachines 2022, 13, 871" Micromachines 13, no. 8: 1181. https://doi.org/10.3390/mi13081181

APA Style

Otic, C. J. C., & Yonemura, S. (2022). Correction: Otic, C.J.C.; Yonemura, S. Effect of Different Surface Microstructures in the Thermally Induced Self-Propulsion Phenomenon. Micromachines 2022, 13, 871. Micromachines, 13(8), 1181. https://doi.org/10.3390/mi13081181

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Correction: Otic, C.J.C.; Yonemura, S. Effect of Different Surface Microstructures in the Thermally Induced Self-Propulsion Phenomenon. Micromachines 2022, 13, 871

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