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14 Feb 2013: 24] An upscaled model for convective dissolution canthen be incorporated into models such as equation (1) byintroducing a constant loss or sink term [Gasda et al.,2011 ; MacMinn et al., 2011],.

25 Jan 2007: 0.01 (for Ra, = lo@), convection continues in the melt until t = 0.24, by which time the system is about 40% solidified.

9 Feb 2004: 5H1 2(H0U1)′=0, (24)3U1 H ′1 H ′0ϕ1. 1. 2H0ϕ. ′1=0, (25)ϕ1=2720. ... 4y2)], (38). and then subsequent substitution into (24) yields a second-order differential equation forH1(y), namely(1.

29 Jul 2010: JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 98, NO. B9, PAGES 15,891-15,901, SEPTEMBER 10, 1993. The Crystallization of Lava Lakes. M. GRAE WORSTER AND HERBERT E. HUPPERT. Institute of Theoretical Geophysics, Department of Applied Mathematics and

9 Mar 2004: 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.

9 Mar 2004: Received 24 April 2000 and in revised form 7 December 2000).

21 Dec 2012: Carbon budgets have been introduced to capemissions [24] (Figure 1). The power sector is the single largest emitter. ... and are designed to capemissions [24] (green line).

16 Jan 2007: J. Fluid M e c h. (1990). vol. 212, p p. 209-240. Printed in Great Britain 209. The fluid mechanics of solidification. By H E R B E R T E. H U P P E R T Institute of Theoretical Geophysics and Department of Applied Mathematics and Theoretical.

30 Jul 2013: 24). The perturbation equations are given, at O(βN), by. 1. η.

16 Jul 2010: nly. 24 HUPPERT & SPARKS. compositional film is to substitute the film thickness into the compositional Rayleigh number, which can be re-expressed as. ... 24. I. A. -.:---n;o • • Pl AA GIOCl A S E.