Temperature Estimation for Multiple Tanks in Thermal Equilibrium

[sandeepbwes]

Greetings everyone:

I am trying to create a software for estimating temperature for a liquid in a group of tanks lying side by side touching each other in a span of 24 hours. The initial data with me is:
X THE FINAL TEMPERATURE OF THE TWO TANKS WHEN THEY COME INTO EQUILIBRIUM
T1 and T2 - Initial Temperature in Celsius where T1 > T2
Mass of liquid in two tanks (assuming they are equal) M1 and M2 in Metric Tonnes
Specific Heat Capacity C1 and C2 in J/Ton C.
I have used used conduction method- M1 X C1 X (T1 - X) = M2 X C2 X (X - T2). Now this is giving me X Degree Celsius which is the final temperature of two tanks when thermal equilibrium is reached. However I need to display (using software) temperature at each time intervals, starting from initial 0 to the time when equilibrium is reached and both tanks have X Degree Celsius.

I know I need to use heat loss factor. But how to go about it?

 

[eljose79]

Thank you for sharing your project with us. It sounds like you are working on an interesting and important problem. Estimating temperature in tanks can be challenging, especially when there are multiple tanks involved.

To address your question about displaying temperature at each time interval, you can use the formula you mentioned (M1 X C1 X (T1 - X) = M2 X C2 X (X - T2)) to calculate the temperature at each time interval. The only difference is that instead of using X as the final temperature, you can use a variable (let's call it T) to represent the temperature at each time interval. This way, you can calculate the temperature at each time interval and display it in your software.

As for the heat loss factor, you can consider factors such as the surface area of the tanks, the insulation material used, and the surrounding temperature to estimate the heat loss. You can also refer to literature or consult with experts in the field for more accurate estimations.

I hope this helps and wish you all the best in your project. Please keep us updated on your progress and let us know if you have any further questions or concerns.