Abstract: The paper is dedicated to Pele (Fig.0) the revered Goddess of Earthquakes and Volcanoes and begins with a historical account of convection. The magma chamber as a general topic has been extensively discussed. Beginning with ordinary convection, the author has considered the paths of convection of magma in the magma chamber by comparing them with paths traced out by pendulums both having relation with rotation of Earth. It is shown graphically that the convective motion of magma in the chamber is periodic. The Rayleigh number for magma in the chamber has been worked out from first principles. Computerized pictures of convective motion for various Rayleigh numbers are shown the higher numbers referring to convective vigor. The state of magma convection in the chamber due to the composition of many periodic motions is compared with magma turbulence in the chamber; Magma just entering the conduit before the process of magma wagging; Frequency of magma wagging obtained by eminent geophysicists, David Bercovici and Mark Jellinek is given without derivation. The eruption is shown at resonance. The main paper ends with a conclusion.
Unlike other research papers, the author at the end has added an “Epilogue” wherein few photographs of the author’s visit to Geological Institutions and related subjects in US are shown.
As this research paper is prepared during the global outbreak of the Corona Virus, the author has made the final end of the paper by adding a write-up looking like a Poem based on Physics on the deadly Virus.
Key Words
Main Paper: Convection, Convective vigor, Double Pendulum, Electrically-operated Tuning Fork, Eruption, Faucault’s Pendulum, Forced Oscillations, Magma Chamber, Magma Turbulence, Magma Wagging, Magma Wagging Frequency, Pele (Goddess of Earthquakes and Volcanoes), Pendulums, Periodic Motion, Rayleigh number, Rayleigh Benard Convection, Rayleigh Benard Convection Cells, Resonance, Rotation of Earth.
Epilogue: Calpine Geothermal Power Station, Laboratory for the Geophysical Sciences at University of Chicago, Poem on Corona Virus, Thomas Chrowder Chamberlin bust at University of Chicago, Volcano Lassen Peak, Volcano Mount Shastha.
Philosophy “The Idea that Mathematics is the rightful interpreter of Nature originated with the Pythagoreans and doubtless with Pythagoras himself.” Sir Edmund Whittaker [5]
Dedication: This Research Paper is dedicated to Goddess Pele (Fig.0) [7] the revered Goddess of Volcanoes, Earthquakes and the creator of the Hawaii Islands in the Pacific of the US
| DOI: 10.17148/IARJSET.2020.7603