Optimal pot
25.4.1
Fig. 1
Optimal pot with base without lid
d* Optimum diameter h* Optimum height A* Optimum area
Eqn. 1
Eqn. 2
Eqn. 3
Eqn. 4
| Optimal diameter | d* | = | mm | ||
| Optimal height | h* | = | mm | ||
| Optimal area | A* | = | mm2 | ||
| Height | href | = | mm | ||
| Surface | Aref | = | mm2 | ||
| Percent loss | q | = | % |
| Volume | Vol | = | L | |||
| Diameter | dref | = | mm |
Calc 1
Optimal pot
Example 1 An optimal coffee cup with a beverage content of 0.5 l has an optimal diameter of 108 mm with a cup height of 54 mm. If the cup diameter of a reference cup is 80 mm instead, this results in a cup height of 99 mm with the same volume. The excess area consumption (loss q) of the reference cup is -7.8%.
Example 2 A cooking pot with a capacity of 5.75 l has an optimal diameter of 244 mm and a height of 122 mm. If the reference diameter is instead 200 mm, this results in a height of 183 mm with the same volume. The excess land use (loss q) of the reference pot is -3.7%.