Shrink Fit Calculator:
based on a model found in Newton law of cooling revisited by M Vollmer, European Journal of Physics, July 2009.
\Delta A=2\alpha (T_{f}-T_{surr})A_{0} \Leftrightarrow A_{f}=2\alpha \Delta TA_{0}+A_{0}
\frac{\pi D^2}{4}=2\alpha \Delta TA_{0}+A_{0} \Leftrightarrow D=\sqrt{\frac{8\alpha \Delta TA_{0}+4A_{0}}{\pi}}
K = -h_{conv}A_{s}(T_{f}-T_{surr})
mc_{p}\frac{(T_{f}-T_{surr})}{\Delta t} = K \Leftrightarrow \Delta t=mc_{p}\frac{(T_{f}-T_{surr})}{K}