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The figure below shows a rectangular domain with prescribed temperature and heat flux conditions on its edges. The theoretical temperature distribution in this plate obtained
The figure below shows a rectangular domain with prescribed temperature
and heat flux
conditions on its edges.
The theoretical temperature distribution in this plate obtained by solving the steadystate heat equation is
In the expression above, note that
is the hyperbolic sine function and you can compute it with numpy.sinh
In practice, this summation is truncated to a finite number of terms in order to perform the calculation; including more terms increases the accuracy of the calculation.
Write a function calcTexact that takes as inputs the x and y coordinates to calculate the temperature and the number of terms nterms to compute in the summation. x and y are scalars floats and nterms is an integer.
In your code below, the following function will be graded:
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