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Modeling the 2-D temperature distribution of multiple lava d ikes c ooling over time

Modeling the 2-D temperature distribution of multiple lava d ikes c ooling over time. By Sky Lovill. Modeled a set of 5 lava dikes with different initial conditions cooling over 1 hour

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Modeling the 2-D temperature distribution of multiple lava d ikes c ooling over time

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  1. Modeling the 2-D temperature distribution of multiple lava dikes cooling over time By Sky Lovill

  2. Modeled a setof 5 lava dikes with different initial conditions cooling over 1 hour • Used 4 variables for initial conditions: width of dike, the temperature of lava in the dike, the width of host rock & the temperature of host rock • This model used the following discretized form of the differential equation, where the temperature of the rock at any point in the distribution is a function of x & t • Where the constant c = k/(cp*ρ) and: • k=0.031 J/cm*s*K Heat conductance of lava & rock • cp=1.1 J/g*K Heat capacity of lava • ρ=2.65g/cm3 Density of rock & lava

  3. Initial Conditions • Temperature of dikes start at 1300°C, and decrease by 100°C from left to right • Temperature of host rock = 0°C • Ratios of host rock width to dike width = 2:1 • EXCEPTIONS: • the middle dike is 2x the width of all other dikes • The host rock in between the 4th and 5th dikes (from the left) is ½ the width of the other host rock • Temperature of host rock = 200°C on far right

  4. Run ‘Skys_Dikes’

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