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The Korean Astronomical Society (한국천문학회)
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UNDERSTANDING OF DISK STRUCTURE DURING THE COLLAPSE OF THE VISCOUS DISK USING SELF-SIMILAR AND NUMERICAL SOLUTIONS

상사해(相似解) 및 수치해를 이용한 점성원반 붕괴시 원반 구조 이해

  • Yoo, Kye-Hwa (Department of Science Education, Ewha Womans University)
  • 유계화 (이화여자대학교 과학교육과)
  • Published : 2005.12.31
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Abstract

The problem for the collapse of isothermal and rotational self-gravitational viscous disk is considered. We derive self-similar solutions for the cases in the inner and outer regions of the self-gravitational viscous disk. We show that surface density depends on ${\sigma}_0/r$ in the outer region of the disk using a slow accretion approximation. The ratio of a modified viscous parameter in the outer region of the disk to that in the inner region is 0.042. We resorted to numerical solutions of governing equations of the self-gravitational disk to find out profiles of ${\sigma}$, u and ${\upsilon}$ in terms of x. Their profiles were rapidly changed around the innermost region of the self-gravitational disk. It indicates that a new object was formed in the most inner region of the disk.

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References

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