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5 May 2006: www.damtp.cam.ac.uk/lab/digiflow/ 2005.23 G. S. Campbell, Annu. Rev. Fluid Mech. 22, 57 1990.24 T.

5 May 2006: We areinterested in cases with small C2H because otherwise the distance of propagation issmall, see (3.24), and no real gravity current appears. ... Using the approximations (3.19)–(3.24), we find: (i) for S < 1.

1 Jun 2006: E. Huppert. Parameter Value Units. a (5.0+ 0.24( T- 20)) x U 0.015 cm2 s-' CC 4.14 J O C - '. 2.66 J cm-3 O C - '

26 Apr 2006: e-mail: grae@esc.cam.ac.uk; heh1@esc.cam.ac.uk. (Received 24 July and in revised form 27 March 1997). ... 24/3λRa1/3 (3.1). between the Nusselt number Nu for thermal convection in the liquid region and theRayleigh number.

30 May 2006: University of Cambridge, Silver Street, Cambridge CB3 9EW, UK. (Received 17 October 1994 and in revised form 24 May 1995). ... Each freezing experiment took on the order of 24 hours, after which the solid crystalline block was cut up into pieces and the

1 Jun 2006: I. / / ,. /. /. 4 8. 36. (TI1 24. I 32. / / / ’. I. -. -_ -._ - _ -.-__ ---_ -.__. 4.5 0 2 4 6 8 10. %. ... 1 4 8 Unstable. It. / / ,. /. /. 36. (TI1 24. 0 0.2 0.4 0.6 6. FIGURE 5. The critical Rayleigh numbers as they vary with the dimensionless

1 Jun 2006: 0.01 (for Ra, = lo@), convection continues in the melt until t = 0.24, by which time the system is about 40% solidified.

26 Apr 2006: Ẇφ̇′. )=(. R 1+ S/C SVC1 V. )(Wφ′. ), (24). whereφ′ = φφe. ... The characteristics of the eigenso-lutions of Equation 24 are shown in Figure 6, the topology of which is preservedby the full system of Equations 9–12 (Anderson & Worster 1996

27 Apr 2006: Volcanol. Geothermal Res. 24, 1-24, 1985. 7 R.H. Nilson, A.R. McBirney and B.H. ... Volcanol. Geothermal Res. 24, 25-54, 1985. 8 I.H. Campbell and J.S.

1 Jun 2006: 24 M. G. Worster and R. C. Kerr. with most metals, it has a low entropy of fusion and forms highly branched, rather than prism-like, crystals.