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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.

 
 
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