Exercise 1
Suppose a heat source at 100°C extends along the left
edge
of the "room", while the right edge
is maintained at 20° C. Assume further that the upper
and lower edges of the square are insulated so that no heat
can flow through these boundaries.
Problem
3:
In the menu click on "40 Contour". Draw a curve, at
every point of which you believe the temperature is
40°C; do the same for 60°C and 80°C.
(These are called "isothermal" curves; they are contour
lines for the temperature function
.)
By definition, an isothermal curve (or
isotherm) is a curve along which the
temperature is constant.
Problem
4:
Now click on "Start1" and the machine will display the
correct contour lines.
Problem
5:
In the Menu click on "Vector". Draw a small arrow
indicating (what you believe to be) the direction of
heat flow at six different points, two on each of the
computer-drawn contour lines. (Choose points where the
contour lines appear continuous.)
Problem
6:
Click on "Start2" to have the computer display the
actual direction of heat flow at each point.
|