동향

Thermal Expansion of Long Slender Rods with Forced Convection Cooling Along the Rod Length

발행기관

F.F. Rudder, Jr.

발행일

1997/02/01


This report presents explicit analytical expressions for the thermal expansion of a rod with heat input at one end and forced convection cooling along the length of the rod. When the rod is graduated for length measurement(i.e., a ruler or ball screw), thermal expansion causes an error in the length measurement. For the problem described here, the thermal expansion or length error depends upon both distance along the rod and time. Calculations are presented illustrating the magnitude of the measurement error for representative conditions of heating and cooling The report considers two heat input models: step temperature input and step heat flux input. A representative example illustrates the system response to the two inputs. The detail calculations illustrate the differences between the two idealized input models. These idealized models are basis response functions that may be used to estimate system response to general time-varying heat input conditions. The implications for using these results for system metrology are discussed.
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