- #1
Dynamo
- 2
- 0
Hi all.
I am doing some work with temperature equations. I have a book that gives an equation and then manipulates it. However, I can not follow what the author does, so can anyone help:
He starts with:
dT/dt = Q/MC - (T-O)/RMC
(in the following I use the text "delta" to represent lower case delta)
He then says he solves this for delta T (change in temperature), due to a step change in source temperature (delta O).
The equation then becomes:
delta T(t) = delta O (1- e^(-t/RMC))
I use this 2nd equation in my work, but just can't follow how the author jumps from the 1st eqn to this one.
I 'solve' the original ODE - but it comes no where near what he gets.
Any help would be great.
I am doing some work with temperature equations. I have a book that gives an equation and then manipulates it. However, I can not follow what the author does, so can anyone help:
He starts with:
dT/dt = Q/MC - (T-O)/RMC
(in the following I use the text "delta" to represent lower case delta)
He then says he solves this for delta T (change in temperature), due to a step change in source temperature (delta O).
The equation then becomes:
delta T(t) = delta O (1- e^(-t/RMC))
I use this 2nd equation in my work, but just can't follow how the author jumps from the 1st eqn to this one.
I 'solve' the original ODE - but it comes no where near what he gets.
Any help would be great.