Simulate the temperature inside an aquarium tank

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SUMMARY

This discussion focuses on simulating the temperature dynamics of a 100-gallon aquarium tank using a 4000-watt heater. The user seeks to model the temperature over time, specifically how long it takes for the tank temperature to drop 5°F, prompting the heater to activate. Key calculations involve converting tank volume to pounds, determining BTU loss, and converting BTU to kWh. The user also emphasizes the importance of using consistent units, recommending conversion to metric for clarity.

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  • Understanding of thermal dynamics and heat transfer principles
  • Proficiency in Python programming for simulations
  • Knowledge of BTU and kWh conversions
  • Familiarity with aquarium heating systems and temperature control
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Aquarium hobbyists, engineers interested in thermal management, and programmers developing simulations for temperature control systems will benefit from this discussion.

bartlino
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TL;DR
how to create a function in Python to model an electric heating element heating a tank of water
there's a website to size an aquarium heater or chiller.

This is just for learning purposes (not for fish) but I have modified these parameters from default to perform a load calculation on a 100 gallon glass tank... For the tank temperature range I set to be between 150-160 degree F. and a startup time of .5 hours, all other parameters are left default...

hamza2.PNG

The load calc output looks like this to see all of the losses:

hamza.PNG
The question I have, is how I could I model the tank temperature over time of a 4000 watt heater cycling on and off to maintain a 150 degrees setpoint? IE, if the tank drops below 145F the heater would come on and then shut off when the tank temperature reaches 155F.

Using Python, I think I can calculate in hours how long it will take for the tank temperature to drop the 5F for when the heater would need to come on but would anyone have any tips for how I could model/calculate the tank temperature & burner cycling? (plot data over time..)

[CODE lang="python" title="Python script"]
tank_volume = 100
gall_pound_conversion = 8.33
drop_in_temp = 10 #btu per pound
btu_kwh_conversion = 3413
total_loss_evap_convection = 2692/1000 #divde by 1000 to convert watts to kW

def sim():
value = tank_volume * gall_pound_conversion
value = value * drop_in_temp
value = value / btu_kwh_conversion
value = value / total_loss_evap_convection
return valueprint(sim())
0.9066374569047897[/CODE]

printing the function (sim()) this yields 0.9066374569047897 which I think is in hours
 
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In your table, aren't you using watts in some places there should be watt hours. The difference between power and energy in this case is vital. See my signature below.
 
Any chance you could give me a tip ? The function in Python I think converts everything to hours steps I tried to follow:

1) Take the volume of the tank in gallons and multiply that value by 8.33 pounds per gallon to get pounds.

2) Multiply the result above by 10 BTU per pound which corresponds to a 10F drop in temperature for the entire tank.

3) Divide the result above by 3,413 to convert BTU to kWh of heat.

4) Divide the result above by the total rate of heat loss (kW) from evaporation and conduction. Remember 1 kW = 1000 Watts.

final result in hours for when the heating element would need energize. Ultimately I am looking to write a function that would model the tank temperature as the heating element cycles.. Thanks for any help, still learning :)
 
bartlino said:
1) Take the volume of the tank in gallons and multiply that value by 8.33 pounds per gallon to get pounds.
2) Multiply the result above by 10 BTU per pound which corresponds to a 10F drop in temperature for the entire tank.
3) Divide the result above by 3,413 to convert BTU to kWh of heat.

Before posting convert all mass to kg, all temp to °C, and all volumes to litre or m3.
Eliminate the confusion. Convert everything before or outside the procedure.

You do not need °F, pounds or BTU in computations.
Water weighs 1 kg per litre, so you do not need to differentiate between gallons(US) or gallons(imp) when you use litres.