ZT to COP Thermoelectric CDF Tool

Version 18
by (unknown)
Version 42
by (unknown)

Deletions or items before changed

Additions or items after changed

1 == Conversion of ZT of a Thermoelectric to Refrigeration COP ==
2
3 The tool below is based on the Mathematical Computable Document Format (CDF). To download the required, free CDF player [http://www.wolfram.com/cdf-player/ click here]
4
5 The tool uses the following formula for the ZT to COP (refrigeration) conversion:
6
7 -
<math> COP_{R} = \frac{T_{c}}{T_{h} - T_{c}} \frac{\sqrt{1 + ZT_{m}} - T_{h}/T_{c}}{\sqrt{1 + ZT_{m}} + 1} </math>
+
<math>{COP_R} = \left( {\frac{{{T_c}}}{{{T_h} - {T_c}}}} \right)\left( {\frac{{\sqrt {1 + Z{T_m}} - {T_h}/{T_c}}}{{\sqrt {1 + Z{T_m}} + 1}}} \right)</math>
8 -
+
9 -
<math>\theta (x,t)=\frac{T(x,t)-T_{\text{initial}}}{T_h-T_{\text{initial}}}</math>
+
10
11 where T_{c} and T_{h} are the cold and hot side temperatures of the thermoelectric, respectively (both in absolute temperatures!). The "T" in "ZT" is assumed to be the arithmetic average of the cold and hot temperatures.
12
13 The CDF tool follows.
14
15 [[File(ZT_COP.cdf)]]