Diffusion  Heat Flow
The Heat Flow models allow us to conceptualize heat flow on a thin plate
where one is able to describe the
exact temperatures on each side and then chart the process of the
temperature distribution in real time.
There are currently three Heat Flow models. Laplace is the
simplest; it
fixes the temperature of each edge
of the plate and finds the temperature on each part of the plate when it
reaches equilibrium. The Poisson
model is similar but adds a heat source or sink to any point on the
plate.
The Diffusion model is like
Laplace except that it is also "timeaccurate"; that is, it simulates the
actual process of gradual heat
transfer through the plate over time.
Download the StarLogoT source code for
the Diffusion  Heat Flow model:
Click on one of the pictures to see a quicktime movie
of the model:

In this model the internal temperature of the plate was 0, the top
of the plate was 99 and the left, right, bottom sides
and of the
plate was 0. The red lines at the end of the model
represent the
path of heat flow.
(292 k)


In this model the internal temperature of the plate was 50, the top
of the plate was 33, the left was 0, right was 66, and
bottom was
99. The red lines at the end of the model represent
the path of
heat flow.
(226 k)


In this model the internal temperature of the plate was 0, the top
of the plate was 99, the left was 0, right was 0, and
bottom was
99. The red lines at the end of the model represent
the path of
heat flow.
(410 k)


In this model the internal temperature of the plate was 50, the top
of the plate was 0, the left was 0, right was 99, and
bottom was
99. The red lines at the end of the model represent
the path of
heat flow.
(230 k)

