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- W2116695394 abstract "This article presents a two-dimensiona l axisymmetric combined conduction and radiation model for the prototype of the programmable multizone furnace, which is under design at NASA Lewis Research Center. The actual furnace is intended for growing high-quality semiconductor crystals and performing other materials processing experiments in space. A novel feature of the model is a control algorithm that automatically adjusts the power in any number of independently controlled heaters to establish the desired sample temperatures during the numerical simulations. The control algorithm eliminates the need for numerous trial and error runs previously required to obtain the same results. The finite element code, FIDAP, was modified to directly incorporate the control algorithm. This algorithm, which presently uses proportional-integral-derivative (PID) control, and the associated heat transfer model are briefly discussed. Together, they have been used to predict the heater power distributions for a variety of furnace configurations and desired temperature profiles. Examples are included to demonstrate the effectiveness of the PID-controlled model in establishing isothermal, Bridgman, and other complicated temperature profiles in the sample. An example is also given to show how the algorithm can be used to change the desired profile with time according to a prescribed temperature-time evolution. Nomenclature A = surface area C = specific heat D = derivative coefficient E = error between actual and set point temperature F = matrix containing boundary condition information FkJ = view factor between two surfaces k and j h = heat transfer coefficient / = integral coefficient K = global system matrix containing conductivity information /Cth = thermal conductivity, scalar L = heater wire length M = matrix containing density and specific heat information" @default.
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- W2116695394 date "1994-10-01" @default.
- W2116695394 modified "2023-09-27" @default.
- W2116695394 title "Proportional-integral-derivative-controlled numerical model for the programmable multizone furnace" @default.
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- W2116695394 doi "https://doi.org/10.2514/3.597" @default.
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