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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.

9 Mar 2004: Consequently, the relationships between the variables on the characteristics with. 24 M. ... v = r[1. (rinitr. )2]. (2.24). In particular, at the nose.

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: 6 1.9 1.7ID 20 26.5 1.4 1.3IE 23 20 3.9 10.5IF 12 18 4.0 11.25IG 24 20 4.1 11.5. ... IIA 23 26 5.22 2.62 29 48IIB 17.5 24 5.36 2.68 30 48IIC 15 21 5.94 2.01 25 24IID 28 15 7.02

9 Mar 2004: J. Fluid Mech. (1998), vol. 359, pp. 109–142. Printed in the United Kingdom. c 1998 Cambridge University Press109. Effects of external flow on compositional andparticle gravity currents. By M A R K A. H A L L W O R T H, A N D R E W J. H O G GA N D

9 Mar 2004: 0.9993 4.81 0 1.52 – –S3 0 45.8 79.80 0.574 1.375 1.0192 0.9996 19.24 0 1.36 – –S7 0 45.2 ... 19.24 0.0282 1.37 550 0.100R10 0.0500 46.3 79.97 0.579 1.390 1.0107 1.0007 9.80 0.0551 0.99 450

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

9 Mar 2004: are captured by Figure 4.[24] The calculations in Figure 4 illustrate that volcanic.

10 Jun 2004: a. r – riri. sandsaltricecouscoussugar slope 1.24. Figure 9. The non-dimensional radial excursion, (r ri )/ri , as a function of the aspect ratioa with a < 1.7 for sand, salt, ... A straight line through the origin atslope 1.24 has a regression

9 Mar 2004: Sm =. 0. (ni=1. ψi(0) exp (2Viy))1/2. dy. (2.24). Recall thatn. ... 1 = 2/H0. (3.24)Hence from (3.16), by forming an expansion for ϕi, we find that.