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The Current State of Stellar Mixing-Length Theory

Published online by Cambridge University Press:  15 February 2018

Douglas Gough
Douglas Gough*
Affiliation:
Institute of Astronomy, & Department of Applied Mathematics, and Theoretical Physics, University of Cambridge

Summary

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The basic assumptions of the mixing-length formalism are described, and the theory is developed with a view to representing convection in stars. Directions in which the results might be improved and extended are indicated.

Type
I. Mixing-Length Theory
Information
International Astronomical Union Colloquium , Volume 38: Problems of Stellar Convection , 1977 , pp. 15 - 56
Copyright
Copyright © 1976

References

Baker, L. and Spiegel, E.A., 1975, J. Atmos. Sci., 3238, 1909 Google Scholar
Barker, J.A. and Henderson, D., 1976, Rev. Mod. Phys., 4838, 587 CrossRefGoogle Scholar
Biermann, L., 1932, Zs f. Ap, 538, 117 Google Scholar
Biermann, L., 1937, A.N., 26438, 361 Google Scholar
Biermann, L., 1943, Zs f. Ap, 2238, 244 Google Scholar
Biermann, L., 1948a, Zs f. Ap, 2538, 135 Google Scholar
Biermann, L., 1948b, FIAT Review of German Science (Astr. Ap Cosm.), 161 Google Scholar
Böhm, K.-H. & Stückl, E., 1967, Zs f. Ap, 6638, 487 Google Scholar
Böhm-Vitense, E., 1958, Zs f. Ap, 4638, 108 Google Scholar
Boussinesq, J., 1877, Mém, div. savants Acad. Sci. Inst. France, 2338, No 1 Google Scholar
Boussinesq, J., 1903, Théorie analytique de la chaleur, Tome II (Paris, Gauthier - Villars)Google Scholar
Chandrasekhar, S., 1961, Hydrodynamic and hydromagnetic stability, (Oxford Univ. Press)Google Scholar
Dearborn, D.S.P. and Eggleton, P.P., 1976, QJRAS, 1738, 448 Google Scholar
Faulkner, J., Griffiths, K. and Hoyle, F., 1965, MNRAS, 12938, 363 CrossRefGoogle Scholar
Gabriel, M., Scuflaire, R., Noels, A. and Boury, A., 1974, Bull. Acad, roy Belgique, CI . Sci, 6038, 866 Google Scholar
Gough, D.O., 1969, J. Atmos. Sci., 2638, 448 2.0.CO;2>CrossRefGoogle Scholar
Gough, D.O., 1977, Ap J., in pressGoogle Scholar
Gough, D.O. and Weiss, N.O., 1976, MNRAS, 17638, 589 CrossRefGoogle Scholar
Graham, E., 1975, JFM, 7038, 689 CrossRefGoogle Scholar
Henyey, L., Vardya, M.S. and Bodenheimer, P., 1965, Ap J., 14238, 841 CrossRefGoogle Scholar
Hofmeister, E. & Weigert, A., 1964, Zs f. Ap, 5938, 119 Google Scholar
Kraichnan, R.H., 1962, Phys. Fluids, 538, 1374 CrossRefGoogle Scholar
Latour, J., Spiegel, E.A., Toomre, J. and Zahn, J.-P., 1976a, Ap J., 20738, 233 CrossRefGoogle Scholar
Launder, B.E. and Spalding, D.B., 1972, Mathematical models of turbulence (Academic Press)Google Scholar
Maeder, A., 1975, Astr. and Ap, 4038, 303 Google Scholar
Malkus, W.V.R., 1964, Geophys. Fluid Dynamics (Woods Hole Oceanographic Institution) 138, 1 Google Scholar
Monaghan, J.J., 1970, MNRAS, 14838, 353 CrossRefGoogle Scholar
Nordlund, Å., 1974, Astr. and Ap, 3238, 407 Google Scholar
Nordlund, Å., 1976, Astr. and Ap, 5038, 23 Google Scholar
Ogura, Y. and Phillips, N.A., 1962, J. Atmos. Sci., 2938, 173 2.0.CO;2>CrossRefGoogle Scholar
Öpik, E.J., 1938, Publ. Obs. astr. Univ. Tartu, 3038, No 3 Google Scholar
Öpik, E.J., 1950, MNRAS, 11038, 559 CrossRefGoogle Scholar
Prandtl, L., 1925, Zs f. angew. Math. Mech., 538, 136 CrossRefGoogle Scholar
Prandtl, L., 1926, Verhandl. II intern. Kongr. tech. Mech., Zürich, p 62 Google Scholar
Prandtl, L., 1932, Beitr. z. Phys. d. freien Atm., 1938, 188 Google Scholar
Prandtl, L., 1952, Essentials of Fluid dynamics, (London, Blackie)Google Scholar
Rossby, H.T., 1969, JFM, 3638, 309 CrossRefGoogle Scholar
Scalo, J.M. and Ulrich, R.K., 1973, Ap J., 18338, 151 Google Scholar
Schmidt, W. 1917, Sitzungsber. (Kais. Ak. d. Wiss. Wein), Abt Ila, 12638, 757 Google Scholar
Shaviv, G. and Salpeter, E.E., 1973, Ap J., 18438, 191 CrossRefGoogle Scholar
Schwarzschild, M., 1961, Ap J., 13438, 1 CrossRefGoogle Scholar
Siedentopf, H., 1933a, A.N., 24738, 297 Google Scholar
Siedentopf, H., 1933b, A.N., 24938, 53 Google Scholar
Siedentopf, H., 1935, A.N., 25538, 157 Google Scholar
Sommerville, R.C. and Lipps, F.B., 1973, J. Atmos. Sci., 3038, 590 2.0.CO;2>CrossRefGoogle Scholar
Spiegel, E.A. 1963, Ap J., 13838, 216.CrossRefGoogle Scholar
Spiegel, E.A., 1971, Ann. Rev. A. Ap, 938, 323 CrossRefGoogle Scholar
Spiegel, E.A. and Veronis, G., 1960, Ap J., 13138, 442 (correction: 135, 655)CrossRefGoogle Scholar
Spruit, H.C., 1974, Solar Phys., 3438, 277 CrossRefGoogle Scholar
Stellingwerf, R.F., 1976, Ap J., 20638, 543 CrossRefGoogle Scholar
Taylor, G.I., 1915, Phil. Trans., A, 21538, 1 Google Scholar
Taylor, G.I., 1932, Proc. Roy. Soc., A, 13538, 685 Google Scholar
Toomre, J., Zahn, J.-P., Latour, J. and Spiegel, E.A., 1976b, Ap J., 20738, 545 CrossRefGoogle Scholar
Travis, L.D. and Matsushima, S., 1971, Scientific Report No 024, (Penn. State Univ., Astr. Dept)Google Scholar
Travis, L.D. and Matsushima, S., 1973, Ap J., 18038, 975 CrossRefGoogle Scholar
Turner, J.S., 1973, Buoyancy effects in fluids, (Cambridge Univ. Press)CrossRefGoogle Scholar
Ulrich, R.K., 1970a, Ap Sp. Sci., 738, 71 CrossRefGoogle Scholar
Ulrich, R.K., 1970b, Ap Sp. Sci., 738, 183 CrossRefGoogle Scholar
Ulrich, R.K., 1976, Ap J., 20738, 564 CrossRefGoogle Scholar
Unno, W., 1967, Publ. Astr. Soc. Japan, 1938, 140 Google Scholar
Unno, W. and Spiegel, E.A., 1966, Publ. Astr. Soc. Japan, 1838, 85 Google Scholar
Van der Borght, R., 1975, MNRAS, 17338, 85 CrossRefGoogle Scholar
Vitense, E., 1953, Zs f. Ap, 3238, 135 Google Scholar
von Kármán, T., 1930, Proc. III inter. Congr. App. Mech., Stockholm, 138, 85 Google Scholar