Using equation inside loop to and determining how much it has cooled over a period of time

Hi all

I am currently writing a script where i am measuring the cooling of a coke in a freezer.

I am using the a mnipulation of specific heat equation.

Ti+1 = Ti + K * delta(t) * (F-Ti)

Temp of coke is 20 degrees C

Temp of freezer is -2 degrees C

Ti +1 = cooling changes of substance

Ti = itnial temp of substance

K = conduction coeff

F = temp of freezer

consider K = 0.20 and delta(t) = 2

how can i work out the cooling of this over ( 200 number of minutes) and see the point where the bottle becomes less than 0 degrees C?

Should also display 'substance took ... minutes to reach 0 degrees C'

Thank you in advance, still trying to work this program out.

Answer 1

[Image Analyst]

You can either use a for loop

for t = 2 : 200
    T(t) = T(t-1) + K * deltat * (F-T(t-1))
    % Quit once it drops below 0
    if T(t) < 0
        break
    end
end

Or use a while loop

maxIterations = 200
T(1) = initialTemperature
loopCounter = 1
while loopCounter < maxIterations && T(loopCounter) > 0
    loopCounter = loopCounter + 1;
    T(loopCounter) = .....whatever
end

[Image Analyst]

Ben, did my hints work for you? I have not heard back from you yet.