6. Just before an eruption, a 100 m thick magma chamber is filled with viscous magma with a viscosity of 10 Pa-s and a d

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6 Just Before An Eruption A 100 M Thick Magma Chamber Is Filled With Viscous Magma With A Viscosity Of 10 Pa S And A D 1 (33.15 KiB) Viewed 98 times

6. Just before an eruption, a 100 m thick magma chamber is filled with viscous magma with a viscosity of 10 Pa-s and a density similar to rock (~3000 kg/m³). The thermal expansivity of the magma is 10³ K¹, and the thermal diffusivity is 106 m²/s. The top of the chamber is 100°C hotter than the bottom. a) What is the Rayleigh number of the magma chamber? (b) Based on your answer in (a), does the magma chamber convect (c) Now the volcano erupts and ejects a rock with a radius of 2 m. Assuming that this rock has thermal properties similar to the original magma chamber, how long does it take for this rock to cool