Hello everyone

I would like to submit a question.
How can you calculate the time it takes to reach a given thickness of ice that will form a "tube ice" machine with these features:

Aluminum tubes size = 1/2 "
Number of tubes = 750
Height, tubes = 3m
Water volume in pipes = 1,250 m3
Inlet water temperature = + 20 C
Brine temperature In = -15 C
Brine temperature Out = -13.5 C
Refrigerant side volume = 1.6m3
Ambient temperature = + 33 C

I tried with this formula but it seems too far from reality.


Calculation of ice / time thickness

X = sqr (T * dt * K) / ρ * cs

X = thickness meters
T = second time

Input minutes process = 10min min
Dt. Glycol solution from 0 C = 15 C
Thermal conductivity coefficient 5,02E-04 Kal / m. s. C
Specific weight h2o 1000 kg / m3
Latent heat of solidification 80Kcal / kg
Ice thickness in mm 7,5mm




Thanks so much