WOLFRAM|DEMONSTRATIONS PROJECT

Estimating the Contraction of a Cooled Cylinder Assuming a Constant Coefficient of Thermal Expansion

​
diameter (in)
10
room temperature (°F)
80
fluid temperature (°F)
-315
Contraction using the coefficient of thermal expansion…
… as a constant
0.02541
inches
… as a function of temperature
0.01958
inches
percentage difference
29.7297
%
In the contraction of a hot steel cylinder immersed in a cooler medium, the coefficient of thermal expansion of steel decreases with temperature. Assuming that the coefficient of thermal expansion is constant can result in an overestimation or underestimation of the magnitude of the contraction. This Demonstration shows the possible variation between the two estimates.