English (United States)
Gravitational granular collapse (GGC) occurs whenever a granular gas is allowed to evolve freely in gravity without the additional input of kinetic energy. The system dissipates its remaining energy through inelastic collisions as it settles into a granular solid at rest at the bottom of its enclosure in &amp;#64257;nite time. We are interested in the reasons for an observed divergence between experimental and theoretical results of the rate of decay. The use of realistic simulations con&amp;#64257;rms that, even in more closely ideal settings, the theory is not as universal as expected. We test the relative e&amp;#64256;ects of a variety of system parameters on GGC dynamics and conclude that the second-power granular temperature decay law during GGC theoretically derived involves the somewhat unphysical approximation of particles that interact with a constant coe&amp;#64259;cient of resititution that is very far into the elastic limit.
Kachuck, Samuel Benjamin, "Granular Gravitational Collapse in Realistically Simulated Granular Gases" (2010). Honors Theses - All. Paper 497.
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