Abstract
Numerical simulations of two-dimensional adiabatic inviscid flow in an accretion disc in a binary system or a proto-planetary system are performed using a second-order accurate implicit Roe upwind scheme. A purpose of the work is to estimate quantitatively the amount of mass accretion rate due to spiral shocks produced by a less massive component. The mass ratio of the binary system, q, is varied to see the tidal effect of the less-massive component on the formation of spiral shocks. Five cases, namely q = 0, 10-3, 10-2, 10-1, 1, are examined. In the case of q ≥ 10-2 steady spiral shocks persist until the end of the calculations, i.e. about 15–20 rotation periods. If q is as small as 10-3, i.e. the case of the Jupiter, the amplitude of the spiral waves is not very strong. On the basis of calculated mass accretion rate, we can determine an effective α parameter in the standard accretion disc model. It depends on q, and we found that 4 · 10-4 ≤ α eff ≤ 4 · 10-2 for 10-3 ≤ q ≤ 1.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Drury, L.O’C.: 1977, PhD Thesis, Cambridge University, UK
Drury, L.O’C.: 1980, Mon. Not. R. astron. Soc., 193 337
Drury, L.O’C.: 1985, Mon. Not. R. astron. Soc., 217 821
Flannery, B. P.: 1975, Ap. J., 201 661
Frank, J., King, A.R. & Raine, D.J.: 1985, Accretion power in astrophysics, Cambridge University Press
Goldreich, P. & Tremaine, S.: 1980, Ap. J., 241 425
Hensler, G.: 1982, Astr. Ap., 114 309; 114, 319
Kaisig, M.: 1989a,b, Astr. Ap., in press
Kaisig, M.: 1989c, in preparation
Larson, R.B.: 1988, in The formation and evolution of planetary systems eds. H.A. Weaver et al., Cambridge University Press
Lin, D.N.C. & Pringle, J.E.: 1976, in Structure and evolution of close binary systems eds. P. Eggleton et al., Reidel, Dordrecht
Lin, D.N.C. & Papaloizou, J.: 1979, Mon. Not. R. astron. Soc., 186 799
Lin, D.N.C. & Papaloizou, J.: 1986, Ap. J., 307 395
Matsuda, T., Inoue, M., Sawada, K., Shima, E. & Wakamatsu, K.: 1987, Mon. Not. R. astron. Soc., 229 295
Michel, F.C.: 1984, Ap. J., 279 807
Narayan, R., Goldreich, P. & Goodman, J.: 1987, Mon. Not. R. astron. Soc., 228 1
Ohtsuki, K. & Nakagawa, Y.: 1989, Prog. Theor. Phys. Suppl. No. 96 Origin of solar system, Chap.17
Papaloizou, J.C.B. & Pringle, J.E.: 1984, Mon. Not. R. astron. Soc., 208 721
Papaloizou, J.C.B. & Pringle, J.E.: 1985, Mon. Not. R. astron. Soc., 225 267
Petterson, J.A.: 1983, in Accretion-driven stellar X-ray sources eds Lewin, W.H.G. & van den Heuvel, E.P.J., Cambridge University Press
Prendergast, K.H. & Taam, R.E.: 1974, Ap. J., 189 125
Pringle, J.E.: 1981, Ann. Rev. Astr. Ap., 19 137
Pringle, J.E. & Rees, M.: 1972, Astr. Ap., 21 1
Sawada, K., Matsuda, T. & Hachisu, I.: 1986a, Mon. Not. R. astron. Soc., 219 75
Sawada, K., Matsuda, T. & Hachisu, I.: 1986b, Mon. Not. R. astron. Soc., 221 679
Sawada, K., Matsuda, T., Inoue, M. & Hachisu, I.: 1987, Mon. Not. R. astron. Soc., 224 307
Sekiya, M., Miyama, S.M. & Hayashi, C.: 1987, Earth, Moon, Planets 39, 1
Sekiya, M., Miyama, S.M. & Hayashi, C.: 1989, Prog. Theor. Phys. Suppl. No. 96, Origin of solar system, Chap.27
Shakura, N.I. & Sunyaev, R.A.: 1973, Astr. Ap., 24 337
Shu, F.H.: 1976, in Structure and evolution of close binary systems eds. P. Eggleton et al., D.Reidel, Dordrecht
Sorensen, S.A., Matsuda, T. & Sakurai, T.: 1975, Astrophys. Space Sci.33, 465
Sorensen, S.A., Matsuda, T. & Fujimoto, M.: 1976 Astrophys. Space Sci.43, 491
Spruit, H.C.: 1987, Astr. Ap., 184 173
Spruit, H.C., Matsuda, T., Inoue, M. & Sawada, K.: 1987, Mon. Not. R. astron. Soc., 229 517
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Kluwer Academic Publishers
About this chapter
Cite this chapter
Matsuda, T., Sekino, N., Shima, E., Sawada, K., Spruit, H. (1989). Mass Transfer by Tidally Induced Spiral Shocks in An Accretion Disc. In: Meyer, F., Duschl, W.J., Frank, J., Meyer-Hofmeister, E. (eds) Theory of Accretion Disks. NATO ASI Series, vol 290. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1037-9_35
Download citation
DOI: https://doi.org/10.1007/978-94-009-1037-9_35
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6958-8
Online ISBN: 978-94-009-1037-9
eBook Packages: Springer Book Archive