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30 May 2006: J. Fluid Mech. (1995), vol. 289, p p. 263-293 Copyright 0 1995 Cambridge University Press. 263. Sedimentation and entrainment in dense layers of suspended particles stirred by an oscillating grid. By H E R B E R T E. HUPPERT', J. STEWART TURNER' A N

17 May 2006: 4Laboratoire de Physique Statistique, UMR 8550 CNRS, Ecole Normale Supérieure, 24,rue Lhomond, 75231 Paris cédex 05, France. ... 1. 2. –12. 3. 10. G. I. IG. (ν. /g2 ). 1/3. ̂. H(g/ν2)1/3 Ĥ. ̂ (Ĥ/)10/3Π15/9. Π15/24. Π15/96. Π1–1/6

27 Apr 2006: Once the local Rayleigh number based on 8 exceeds a critical value, as determined by Smith [24] for example, the boundary layer breaks down and the magma begins to convect.

30 May 2006: J. Fluid Me&. (1981), vol. 106, p p. 299-329. Printed in Great Britain 399. Double-diffusive convection. By H E R B E R T E. H U P P E R T Department of Applied Mathematics and Theoretical Physics,. Silver Street, Cambridge CB3 9EW. A N D J. S T E W

26 Apr 2006: Received 29 March 2004; received in revised form 24 September 2004; accepted 11 November 2004. ... ykumar and Mao [24] again assuming the interface was sharp. The SPH method, as mentioned earlier, does.

5 May 2006: 14 24.4 8.5 380 015 25.2 17.1 276 016 26.2 34.1 204 017 25.9 63.2 171 018 103.3 8.3 90 019 ... 164 2.913 25.6 33.3 0.123 510 2.930 24.6 16.8 0.123 270 2.931 50 16.8 0.123 240 2.932 104.1

30 May 2006: J. F u i d Xech. (19761, VOZ. 78, part 4? pp. 821-854 Printed in Great Britain. 82 1. Nonlinear double-diffusive convection By H E R B E R T E. H U P P E R T A N D D A N I E L R. MOORE. Department of Applied Mathematics and Theoretical Physics,

11 Oct 2006: After some algebra and use of(2.24), we obtain. ρD. Dt. [1. ... 374 M. Ungarish and H. E. Huppert. t0 4 8 12 16 20 24.

30 May 2006: 2.21). (2.22). (2.23). (2.24). where EN is the value of [ at r = rN(t). ... Substituting (2.23) and (2.24) into (2.21) and (2.22), we find that $ ( z ) , where z = c/&, satisfies.

26 Apr 2006: The boundaryconditions at t'0 are Eq. (12),. h"0 (z"f(t)) (23). [h]ml "0 (z"f(t)), (24). ... Wettlaufer, M.G. Worster, H.E. Huppert, Geophys. Res. Lett. 24 (1997) 1251.[12] D.L.