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My team matrix: [ [0, 1, 1, 3, 1], [2, 0, 2, 2, 2], [3, 4, 0, 1, 4], [1, 4, 1, 0, 2], [4, 3, 2, 3, 0] ] The ranking for the league was: Team 3: rating = 0.5616064344284055 Team 5: rating = 0.5279808500356232 Team 2: rating = 0.4002177984108782 Team 4: rating = 0.3946242396754421 Team 1: rating = 0.29988640866168415 Team 3…
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Based on my assigned parameters, the temperature in the lower right corner of the bar after reaching steady-state is 0.90877.
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Given my specific domain and parameters, the temperature at $t=1s$ near the midpoint of the insulated edge of the triangle is $0.57228$.
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A metal bar of length 1 lies along the unit interval. Its temperature distribution is given by $$g(x) = 5x^2 - 1x.$$ At time $t=0$, its left end is set to temperature $0$ and its right end to $-3$. Sketch the temperature distribution at times $$t=0, t=0.01, t=0.1, t=10.$$
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The heat flow equation with a constant internal heat source I was given is $$u_t=u_{xx}+5.$$ My boundary conditions are $$u(0,t)=-4\mbox{ and }u(1,t)=5.$$ To find the steady state temperature distribution we set the partial derivative of the function $u(x,t)$ with respect to time equal to zero, that is $u_t=0$, and then…
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Based on my assigned parameters, at t=1s the displacement at the midpoint is approximately .004.