A reactor is thermally stratified as in the following table:

As depicted in Figure, the tank can be idealized as two zones separated by a strong temperature gradient or thermocline. The depth of this gradient can be defined as the inflection point of the temperature-depth curve—that is, the point at which d²T/dz² = 0. At this depth, the heat flux from the surface to the bottom layer can be computed with Fourier’s law,

J = -kdT/dz

Use a cubic spline fit of this data to determine the thermocline depth. If k = 0.02 cal/(s ∙cm ∙ °C) compute the flux across this interface.

Transcribed Image Text:

Depth, m 0.5 1.0 1.5 2.0 2.5 3.0 22 13 11 Temperature, C 70 68 55 10