The optimal regime of operation of the defrosting refrigerator of Section 10.6.2 was determined…

The optimal regime of operation of the defrosting
refrigerator of Section 10.6.2 was determined based on the assumption that the
electric power used for melting the ice is negligible. Consider now the more
general case in which the electrical power used for resistively melting the ice
is not negligible [26]. The power level (Joule heating rate) is the known
constant qJ . Note that a new, additional term qJt2 will
appear on the right side of eqs. (10.84) and (10.88). Derive an expression for
the dimensionless average power requirement __IIW_q(t1
+ t2) and find the optimal ratio __
= t1_t2
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The optimal regime of operation of the defrosting
refrigerator of Section 10.6.2 was determined based on the assumption that the
electric power used for melting the ice is negligible. Consider now the more
general case in which the electrical power used for resistively melting the ice
is not negligible [26]. The power level (Joule heating rate) is the known
constant qJ . Note that a new, additional term qJt2 will
appear on the right side of eqs. (10.84) and (10.88). Derive an expression for
the dimensionless average power requirement __IIW_q(t1
+ t2) and find the optimal ratio __
= t1_t2 such that the average power is maximal.
Comment on how the dimensionless Joule heating rate qJ_q influences the __opt
value.

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