Physics, 14.09.2019 10:30 lieunekop8fm90
Determine the solution for the pure diffusion problem, )= 0, for a one-dimensional material that has a variable conductivity, k=k, +at. the material has a constant area, a, and is of length x = l. this problem is non-linear as the conductivity is dependent on the temperature and must be solved iteratively for a local volume, find the exact integral form of the governing equation 1. apply the linear approximation for an internal cell surrounded by two neighbours 2. for this problem, the essential boundary condition (also known as dirichlet condition) is imposed at 3. l. determine the appropriate approximation formulae for the boundary nodes. x 0 and solve the problem for l = 0.5, t(x =0) =100, t(x l) 500,k, =1000, a =10 using 100 cells. to 4. solve, you need to modify the code and here is the suggested algorithm, input data a. b. initialize temperature in the domain using the linear solution, t(x) = t{0) t(l)-t(0) x l and call the solution t_1, then evaluate the conductivity k = k, +oat_1 accordingly start outer iteration loop (you can set it to 50 iterations) c. i. evaluate the coefficients ag, a,.a, b, for boundary cell at x 0 and fill in first row in matrix evaluate the coefficient ag. ap, a,b, for interior cells and fill in the rows 2 ii. n-1 evaluate the coefficients ag, ap, aw, b, for boundary cell at x= land fill in last row iii in matrix solve to determine the temperature distribution, call the solution t 2 iv. evaluate the difference (residual) t_2-t_1 and evaluate the norm. save the norm at v. each iteration rename the solution t_2 as t_1 vi. evaluate the conductivity k =k, +at_1 and repeat from (i) vii. plot the final solution t(x) and the euclidean norm of the residual d.
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Physics, 22.06.2019 10:30, laura52677
Agroup of students were investigating the force of gravity. they began by dropping a foam ball from a height of 3 meters into a bucket of sand. the ball hit the sand in 0.306 seconds. they dropped additional balls of approximately the same diameter, but of different masses. here is the data they collected. based on this experiment and the collected data, what would their conclusion be?
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Physics, 22.06.2019 16:00, Christyy1837
What part of the ear is names after tools, such as the hammer and the anvil?
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Determine the solution for the pure diffusion problem, )= 0, for a one-dimensional material that has...
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