Vertical Shear Instability in Thermally Stratified Protoplanetary Disks. I. A Linear Stability Analysis
Vertical shear instability (VSI), driven by a vertical gradient of rotational angular velocity, is a promising source of turbulence in protoplanetary disks. We examine the semiglobal stability of thermally stratified disks and find that the VSI consists of surface and body modes: surface modes are c...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2025-01-01
|
| Series: | The Astrophysical Journal |
| Subjects: | |
| Online Access: | https://doi.org/10.3847/1538-4357/ad9f41 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832576295694761984 |
|---|---|
| author | Han-Gyeol Yun Woong-Tae Kim Jaehan Bae Cheongho Han |
| author_facet | Han-Gyeol Yun Woong-Tae Kim Jaehan Bae Cheongho Han |
| author_sort | Han-Gyeol Yun |
| collection | DOAJ |
| description | Vertical shear instability (VSI), driven by a vertical gradient of rotational angular velocity, is a promising source of turbulence in protoplanetary disks. We examine the semiglobal stability of thermally stratified disks and find that the VSI consists of surface and body modes: surface modes are confined to regions of strong shear, while body modes extend perturbations across the disk, consistent with the previous findings. In thermally stratified disks, surface modes bifurcate into two branches. The branch associated with the strongest shear at mid-height exhibits a higher growth rate compared to the branch near the surfaces. Surface modes generally grow rapidly and require a high radial wavenumber k _R , whereas body mode growth rates increase as k _R decreases. Thermal stratification enhances the growth rates of both surface and body modes and boosts VSI-driven radial kinetic energy relative to vertical energy. Our results suggest that simulations will initially favor surface modes with large k _R , followed by an increase in body modes with smaller k _R , with faster progression in more thermal stratified disks. |
| format | Article |
| id | doaj-art-a46eb93b50dd4646ba2674dc4a8354a3 |
| institution | Kabale University |
| issn | 1538-4357 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | The Astrophysical Journal |
| spelling | doaj-art-a46eb93b50dd4646ba2674dc4a8354a32025-01-31T07:40:54ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-0198011410.3847/1538-4357/ad9f41Vertical Shear Instability in Thermally Stratified Protoplanetary Disks. I. A Linear Stability AnalysisHan-Gyeol Yun0https://orcid.org/0000-0003-4353-294XWoong-Tae Kim1https://orcid.org/0000-0003-4625-229XJaehan Bae2https://orcid.org/0000-0001-7258-770XCheongho Han3https://orcid.org/0000-0002-2641-9964Department of Physics & Astronomy, Seoul National University , Seoul 08826, Republic of Korea ; hangyeol@snu.ac.kr, wkim@astro.snu.ac.kr; SNU Astronomy Research Center, Seoul National University , 1 Gwanak-ro, Gwanak-gu, Seoul 08826, Republic of KoreaDepartment of Physics & Astronomy, Seoul National University , Seoul 08826, Republic of Korea ; hangyeol@snu.ac.kr, wkim@astro.snu.ac.kr; SNU Astronomy Research Center, Seoul National University , 1 Gwanak-ro, Gwanak-gu, Seoul 08826, Republic of KoreaDepartment of Astronomy, University of Florida , Gainesville, FL 32611, USA ; jbae@ufl.eduDepartment of Physics, Chungbuk National University , Cheongju 28644, Republic of Korea ; cheongho@astroph.chungbuk.ac.krVertical shear instability (VSI), driven by a vertical gradient of rotational angular velocity, is a promising source of turbulence in protoplanetary disks. We examine the semiglobal stability of thermally stratified disks and find that the VSI consists of surface and body modes: surface modes are confined to regions of strong shear, while body modes extend perturbations across the disk, consistent with the previous findings. In thermally stratified disks, surface modes bifurcate into two branches. The branch associated with the strongest shear at mid-height exhibits a higher growth rate compared to the branch near the surfaces. Surface modes generally grow rapidly and require a high radial wavenumber k _R , whereas body mode growth rates increase as k _R decreases. Thermal stratification enhances the growth rates of both surface and body modes and boosts VSI-driven radial kinetic energy relative to vertical energy. Our results suggest that simulations will initially favor surface modes with large k _R , followed by an increase in body modes with smaller k _R , with faster progression in more thermal stratified disks.https://doi.org/10.3847/1538-4357/ad9f41Protoplanetary disksHydrodynamicsAnalytical mathematicsInternal wavesAccretion |
| spellingShingle | Han-Gyeol Yun Woong-Tae Kim Jaehan Bae Cheongho Han Vertical Shear Instability in Thermally Stratified Protoplanetary Disks. I. A Linear Stability Analysis The Astrophysical Journal Protoplanetary disks Hydrodynamics Analytical mathematics Internal waves Accretion |
| title | Vertical Shear Instability in Thermally Stratified Protoplanetary Disks. I. A Linear Stability Analysis |
| title_full | Vertical Shear Instability in Thermally Stratified Protoplanetary Disks. I. A Linear Stability Analysis |
| title_fullStr | Vertical Shear Instability in Thermally Stratified Protoplanetary Disks. I. A Linear Stability Analysis |
| title_full_unstemmed | Vertical Shear Instability in Thermally Stratified Protoplanetary Disks. I. A Linear Stability Analysis |
| title_short | Vertical Shear Instability in Thermally Stratified Protoplanetary Disks. I. A Linear Stability Analysis |
| title_sort | vertical shear instability in thermally stratified protoplanetary disks i a linear stability analysis |
| topic | Protoplanetary disks Hydrodynamics Analytical mathematics Internal waves Accretion |
| url | https://doi.org/10.3847/1538-4357/ad9f41 |
| work_keys_str_mv | AT hangyeolyun verticalshearinstabilityinthermallystratifiedprotoplanetarydisksialinearstabilityanalysis AT woongtaekim verticalshearinstabilityinthermallystratifiedprotoplanetarydisksialinearstabilityanalysis AT jaehanbae verticalshearinstabilityinthermallystratifiedprotoplanetarydisksialinearstabilityanalysis AT cheonghohan verticalshearinstabilityinthermallystratifiedprotoplanetarydisksialinearstabilityanalysis |